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Groups > sci.math > #630960 > unrolled thread

How many different unit fractions are lessorequal than all unit fractions?

Started byWM <wolfgang.mueckenheim@tha.de>
First post2024-09-02 19:07 +0200
Last post2024-10-27 17:12 +0100
Articles 20 on this page of 1000+ — 13 participants
Thread has 2234 articles; only the first 1000 are indexed.

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Contents

  How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 19:07 +0200
    Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-02 13:19 -0400
      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 22:37 +0200
        Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-02 17:43 -0400
          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 12:17 +0200
            Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-03 07:29 -0400
              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 13:56 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-03 23:05 -0400
        Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-03 00:25 -0400
          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 12:22 +0200
            Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-03 13:50 -0400
              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-04 21:10 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-04 16:52 -0400
                  Re: How many different unit fractions are lessorequal than all unit  fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 13:53 +0000
                    Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-05 14:56 -0400
                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 22:44 +0200
                        Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-06 00:36 +0200
                          Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:45 +0200
                          Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:46 +0200
                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:49 +0200
                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:50 +0200
                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:24 +0200
                                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:22 +0200
                            Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-06 12:26 +0000
                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:29 +0200
                                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-06 15:42 +0200
                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:42 +0200
                                    Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 11:19 +0200
                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 12:50 +0200
                                        Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 11:56 +0000
                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 13:29 +0200
                                        Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 13:36 +0200
                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:07 +0200
                                            Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:21 -0400
                                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:33 +0200
                                                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:49 -0400
                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:48 +0200
                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-08 16:11 -0400
                                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:27 +0200
                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:32 -0400
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 16:53 +0200
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:32 +0200
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:49 +0000
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:03 +0200
                                                                    Re: quantifier order joes <noreply@example.org> - 2024-09-09 19:55 +0000
                                                                      Re: quantifier order WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:24 +0200
                                                                        Re: quantifier order Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:41 -0400
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:41 -0400
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:03 +0200
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
                                                        Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:49 +0000
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:08 +0200
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 16:02 +0000
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 18:32 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 21:25 +0200
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
                                                    Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:25 +0000
                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-08 22:29 +0200
                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:22 +0200
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:40 -0400
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:46 +0000
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 16:57 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:49 -0400
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:05 +0200
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:24 -0400
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:08 -0700
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:32 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:36 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:35 -0700
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:38 -0700
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:13 +0200
                                                                    Re: density of the reals joes <noreply@example.org> - 2024-09-11 06:05 +0000
                                                                      Re: density of the reals WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:33 +0200
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:30 +0200
                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:33 -0700
                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:38 +0200
                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:48 -0700
                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:49 -0700
                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:56 -0700
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 17:52 -0700
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:27 +0200
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:54 -0700
                                                      Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-09 06:12 -0400
                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 14:04 +0200
                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:37 -0400
                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:03 +0200
                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:26 -0400
                                              Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:37 +0000
                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:45 +0200
                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:51 -0400
                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 16:58 +0200
                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:52 +0200
                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-08 16:11 -0400
                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:31 +0200
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:47 -0400
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:01 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:14 +0000
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:26 +0200
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:51 +0000
                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:07 +0200
                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-10 05:59 +0000
                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:59 -0400
                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:07 +0200
                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:53 -0400
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:54 -0400
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 15:50 -0700
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 15:57 -0700
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-11-05 15:48 -0800
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:52 -0400
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:51 +0000
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:19 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 08:03 -0400
                                                  Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:16 +0000
                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:36 +0200
                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:55 -0400
                                              Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 16:05 +0200
                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:28 +0200
                                                  Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:06 +0000
                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:24 +0200
                                                      Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 20:44 +0200
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-09 15:43 -0400
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:16 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-10 17:12 -0400
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:48 +0200
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-11 14:11 -0400
                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:48 +0200
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 19:57 +0000
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 22:28 +0200
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:50 +0200
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:27 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:55 -0400
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 08:07 -0400
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:10 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:58 -0400
                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-08 22:34 +0200
                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:19 +0200
                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-09 16:32 +0200
                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:15 +0200
                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-09 17:27 +0200
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 18:26 +0200
                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 20:49 +0200
                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:02 -0700
                                                                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 07:09 -0400
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:42 -0700
                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 12:05 -0700
                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:31 +0200
                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:25 -0700
                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:33 +0200
                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:34 +0200
                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 16:10 -0700
                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:53 -0700
                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 15:18 -0400
                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 20:59 +0200
                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 15:20 -0400
                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:09 -0400
                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:37 +0200
                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-11 17:29 +0000
                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:40 +0200
                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-11 14:01 -0700
                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-11 17:13 -0400
                                                                                Re: How many different unit fractions are lessorequal than all unit  fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 11:15 +0000
                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-12 08:29 -0400
                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 19:48 +0200
                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 14:15 -0400
                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:37 -0700
                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 17:41 +0200
                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 11:52 -0400
                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:05 +0200
                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 16:52 -0400
                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-13 19:05 -0400
                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-14 16:01 +0200
                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-14 12:33 -0400
                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:52 +0200
                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-15 21:07 +0000
                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:33 +0200
                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-18 18:50 -0400
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 13:22 +0200
                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 07:44 -0400
                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:02 +0200
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-19 15:15 -0400
                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:27 +0200
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-20 19:02 +0000
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:41 +0200
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 16:02 -0400
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:47 +0200
                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-21 13:26 -0400
                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:11 +0200
                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-21 18:32 -0400
                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:22 +0200
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 11:30 -0400
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 12:46 -0400
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 15:20 -0400
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-23 07:21 -0400
                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-22 14:20 +0000
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:35 -0400
                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:13 +0200
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 17:37 -0400
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:04 -0400
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:02 +0200
                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-21 19:24 -0400
                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:27 +0200
                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-22 14:18 +0000
                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 17:36 +0200
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:04 -0700
                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 16:28 -0700
                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-23 01:35 +0200
                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-23 01:44 +0200
                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 18:33 -0700
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 18:50 -0400
                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 11:55 -0700
                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 21:07 +0200
                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 17:27 -0400
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 14:35 -0700
                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 18:47 -0400
                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-19 12:38 +0000
                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:06 +0200
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:37 -0400
                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 12:11 -0700
                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 14:17 -0700
                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-15 21:14 -0400
                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-14 13:30 -0400
                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 16:54 -0700
                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 02:07 +0200
                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:18 -0700
                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 04:23 +0200
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 21:35 -0700
                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 00:46 -0700
                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-21 22:15 +0200
                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:44 +0200
                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-15 17:24 -0400
                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-14 18:35 +0000
                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:05 -0700
                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 02:15 +0200
                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:19 -0700
                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-15 17:38 +0100
                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 10:06 -0700
                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-16 22:47 +0100
                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 12:39 -0700
                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-16 23:02 +0100
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 15:03 -0700
                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:39 +0200
                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-15 21:09 +0000
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:34 +0200
                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-15 21:16 -0400
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 13:19 -0700
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:44 +0200
                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-18 12:35 -0700
                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-18 22:49 +0200
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:03 +0200
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:17 +0200
                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 20:37 -0700
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 14:55 +0200
                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 12:13 -0700
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 23:13 +0200
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:33 +0200
                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:06 -0400
                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:57 +0200
                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-21 19:25 -0400
                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 16:48 -0700
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 03:03 +0200
                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 20:52 -0700
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 07:02 -0400
                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:00 -0700
                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:28 +0200
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-24 08:00 +0000
                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-24 12:49 -0400
                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:43 +0200
                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 07:53 -0400
                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:23 +0200
                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-25 16:43 +0000
                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-25 18:53 +0200
                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 21:08 +0200
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-27 19:51 +0000
                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 20:52 +0200
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-27 18:08 -0400
                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 21:49 +0200
                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-29 18:29 -0400
                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-29 17:21 -0700
                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-30 06:50 -0400
                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-30 16:59 -0700
                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 17:15 +0200
                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 19:14 -0400
                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-01 19:39 +0200
                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-02 07:17 -0400
                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:57 +0200
                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-02 19:03 -0400
                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 20:34 +0200
                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-03 18:55 -0400
                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:23 +0200
                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 06:53 -0400
                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 15:10 +0000
                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-04 17:36 +0200
                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:36 +0200
                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 16:47 -0400
                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-04 14:26 -0700
                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 18:37 -0400
                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-04 17:42 -0700
                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:17 +0200
                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-09 19:26 -0700
                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-10 11:37 +0200
                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:14 +0200
                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 18:45 -0400
                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:18 +0200
                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:01 -0400
                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 14:15 +0200
                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:28 -0400
                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 20:58 +0200
                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:36 -0700
                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 22:51 -0400
                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 13:45 +0200
                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:05 -0400
                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:53 +0200
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-07 07:08 -0400
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 10:28 +0200
                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 08:13 -0400
                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 16:43 +0200
                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 14:01 -0400
                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:17 -0700
                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 11:35 +0200
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 12:56 -0700
                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:42 +0200
                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:11 -0400
                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:56 +0200
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-07 11:06 +0000
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-07 07:12 -0400
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 10:31 +0200
                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 08:20 -0400
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 12:57 -0700
                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-06 11:35 +0000
                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:58 +0200
                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:12 -0400
                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:35 -0700
                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:34 +0200
                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 18:46 -0400
                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:20 +0200
                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:08 -0400
                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 12:48 +0000
                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 09:00 +0000
                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:56 +0200
                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 10:55 +0000
                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-30 16:59 -0700
                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:04 -0400
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:08 -0400
                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-04 12:00 -0700
                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 12:57 -0400
                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:38 +0200
                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-24 13:19 -0700
                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-24 20:51 +0000
                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:09 +0200
                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 13:02 -0400
                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 07:54 -0400
                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:26 +0200
                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 13:05 -0400
                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-25 12:35 -0700
                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-25 21:56 +0200
                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-25 12:57 -0700
                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-25 13:44 -0700
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 16:23 -0700
                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-21 03:03 +0200
                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 18:36 -0700
                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:39 -0400
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:09 +0200
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 12:13 -0700
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 15:31 -0400
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:08 -0400
                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:31 +0200
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-18 18:44 -0700
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 14:27 -0700
                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-20 01:27 +0200
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-09 20:11 -0700
                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:47 +0200
                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-16 13:30 -0400
                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 13:15 -0700
                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-16 17:38 -0400
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 14:56 -0700
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 11:13 -0700
                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-10-18 16:11 -0400
                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 16:55 -0400
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 14:01 -0700
                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 17:15 -0400
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 14:22 -0700
                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:39 +0200
                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-18 10:31 -0400
                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 12:38 +0200
                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-19 12:36 +0000
                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:03 +0200
                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-19 14:31 -0400
                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:24 +0200
                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 15:51 -0400
                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:01 +0200
                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 13:44 -0400
                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 20:37 +0200
                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 11:54 -0700
                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 21:06 +0200
                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 12:09 -0700
                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:16 -0700
                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 13:54 -0700
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 14:12 -0700
                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 19:47 -0700
                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 20:26 -0700
                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 13:53 -0700
                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 14:46 -0700
                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 20:25 -0700
                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 20:28 -0700
                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 20:37 -0700
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 20:55 -0700
                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 16:22 -0400
                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-23 14:57 +0200
                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-23 13:58 -0400
                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:28 +0200
                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-24 16:19 -0400
                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 22:37 +0200
                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-25 00:59 -0400
                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:51 +0200
                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-25 16:39 +0000
                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 20:42 +0200
                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-27 20:12 +0000
                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-27 22:19 +0200
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-27 22:20 +0200
                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 20:56 +0200
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:08 -0400
                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-27 21:20 -0700
                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-28 22:11 +0200
                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:12 -0400
                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-25 14:40 -0400
                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 20:54 +0200
                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:24 -0400
                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 21:08 +0200
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-29 13:53 -0700
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:10 -0400
                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-29 15:56 -0400
                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 17:12 +0200
                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-30 14:33 -0400
                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 20:54 +0200
                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-30 15:51 -0400
                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-01 19:29 +0200
                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-10-01 16:05 -0400
                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:10 +0200
                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-02 07:30 -0400
                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:54 +0200
                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-02 15:44 -0400
                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 20:20 +0200
                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-03 14:40 -0400
                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 21:49 +0200
                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-03 17:00 -0400
                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-03 21:18 -0400
                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 08:17 +0000
                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-04 10:22 +0200
                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:49 +0200
                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 06:02 -0400
                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 12:11 +0200
                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 06:38 -0400
                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:25 +0200
                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-05 08:10 +0000
                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 10:38 +0200
                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:39 +0200
                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:12 -0400
                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 14:18 +0200
                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:32 -0400
                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 21:04 +0200
                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 22:57 -0400
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 13:46 +0200
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:15 -0400
                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:44 -0700
                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 12:58 +0000
                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:35 -0400
                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 13:57 +0000
                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:55 +0200
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 16:05 +0000
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 09:21 -0700
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 18:54 +0200
                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 17:08 +0000
                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:09 +0200
                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:48 -0700
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:13 +0200
                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:57 +0200
                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:58 +0200
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:17 +0200
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:18 +0200
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 20:57 +0200
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 21:02 +0200
                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 21:15 +0200
                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 21:57 +0000
                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 17:37 -0700
                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 20:23 -0700
                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 10:16 +0000
                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:52 +0200
                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 14:52 +0000
                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 17:26 +0200
                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 15:48 +0000
                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-06 18:14 +0200
                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:38 +0200
                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-07 07:14 -0400
                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 09:41 +0200
                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-07 08:05 +0000
                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 11:08 +0200
                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-07 15:18 +0000
                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 12:51 +0200
                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-08 13:24 +0000
                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 17:26 +0200
                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 14:01 -0400
                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 11:28 +0200
                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-09 08:02 -0400
                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-08 19:27 +0000
                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 16:33 -0400
                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 11:36 -0400
                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-07 13:19 +0000
                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-07 12:04 -0400
                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-07 16:11 +0000
                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-07 13:36 -0400
                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 13:29 -0700
                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-07 16:44 -0700
                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 12:22 +0200
                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 06:37 -0400
                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 08:29 -0400
                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:51 -0700
                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 17:21 -0400
                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 14:40 -0700
                                                                                                                                                                                                                            Re: Cardinality joes <noreply@example.org> - 2024-10-08 13:39 +0000
                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:45 -0700
                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-08 21:08 +0000
                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 14:48 +0200
                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 14:13 +0000
                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 16:40 +0200
                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 15:11 +0000
                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 17:39 +0200
                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 12:04 -0400
                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:41 +0200
                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 13:57 -0400
                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 14:07 -0400
                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:25 +0200
                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-10 15:24 -0400
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 13:42 -0700
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 23:41 +0200
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 23:47 +0200
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-11 00:34 +0200
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 20:22 -0700
                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 16:12 +0000
                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:47 +0200
                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 19:13 +0000
                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:32 +0200
                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-10 18:45 +0000
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:53 +0200
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-10 19:54 +0000
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 19:49 +0200
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Tom Bola <Tom@bolamail.etc> - 2024-10-12 20:26 +0200
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:55 +0200
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 19:23 +0000
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 21:33 +0200
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:50 +0000
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Tom Bola <Tom@bolamail.etc> - 2024-10-12 22:29 +0200
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-12 13:36 -0700
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:28 +0200
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-14 07:11 -0400
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:02 +0000
                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:37 +0200
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 16:01 +0000
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-14 15:22 -0700
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:26 +0200
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:15 +0000
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:40 +0200
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 16:04 +0000
                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 18:15 +0200
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 18:20 +0200
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:04 -0700
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:19 +0200
                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 14:05 -0700
                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 18:37 +0200
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-14 15:27 -0700
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:30 +0200
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 05:19 -0400
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 17:20 +0200
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 12:09 -0400
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 18:58 +0200
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:04 -0700
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:48 -0400
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:14 +0200
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:21 -0400
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-18 08:05 +0000
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:43 -0400
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:02 -0700
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:46 +0200
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:23 -0400
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-17 21:26 -0400
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:23 +0200
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 07:26 -0400
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:04 +0000
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 09:14 +0200
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 00:37 -0700
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 10:02 +0200
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:17 +0200
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-21 08:17 +0000
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:59 -0700
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-15 15:51 +0000
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-15 11:29 -0700
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-15 13:22 -0700
                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:19 +0200
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:55 -0700
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:06 -0700
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:08 -0700
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:09 -0700
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-16 18:05 -0700
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-17 07:25 -0400
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-17 11:20 -0700
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:39 -0400
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-17 21:56 -0700
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 05:05 -0400
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-18 13:50 -0700
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 17:09 -0400
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-18 18:53 -0400
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 09:59 +0200
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-18 08:26 -0400
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:28 +0200
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 06:04 -0400
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:00 +0200
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:07 -0400
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 06:56 -0400
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:10 +0200
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:15 -0400
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:53 +0200
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 10:08 -0400
                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 18:50 +0200
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 14:12 -0400
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:28 +0200
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 18:08 -0400
                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:40 +0200
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 07:20 -0400
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:50 -0400
                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:17 -0400
                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 11:58 -0700
                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 16:34 -0400
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 14:50 -0400
                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:34 +0200
                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 16:42 -0400
                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-22 20:56 +0000
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:06 +0000
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:22 +0200
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:28 +0200
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:02 -0700
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:11 -0400
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:51 +0200
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 07:13 -0400
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:53 -0400
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 22:43 +0000
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:20 +0200
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 09:17 +0200
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 13:21 -0700
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 22:29 +0200
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 16:04 -0700
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:26 +0200
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:17 +0200
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:55 -0700
                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:52 -0400
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:21 -0700
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:25 -0700
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:28 -0700
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:50 +0000
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 13:35 +0200
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 11:57 +0000
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-10 21:38 -0400
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-10 19:51 -0700
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:19 +0200
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:31 +0200
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:17 +0000
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 09:23 +0200
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:07 +0200
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:11 +0200
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:12 +0200
                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-10 21:38 -0400
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 20:19 -0700
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-11 05:55 -0400
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 12:29 -0700
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 07:06 -0400
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 14:02 -0400
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-11 13:48 -0700
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-12 20:02 -0400
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 18:12 -0400
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:39 +0200
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:35 +0200
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:00 +0000
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:34 +0200
                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 15:53 +0000
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 18:29 +0200
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:33 +0200
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:41 -0400
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-13 11:34 -0400
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 12:29 -0700
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 18:15 -0400
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 20:51 -0700
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-13 11:39 +0200
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:25 +0200
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-10 19:48 +0000
                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 15:32 +0200
                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 10:55 -0400
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:50 +0200
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-12 16:07 -0400
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:20 +0200
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-14 07:14 -0400
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:21 +0200
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:04 +0000
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 15:24 +0200
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:20 +0200
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 17:10 +0000
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:59 +0200
                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:56 +0200
                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-09 17:47 +0000
                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:18 +0200
                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-09 17:40 +0000
                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:12 +0200
                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:44 +0000
                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-13 10:34 +0200
                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:13 +0200
                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-10 16:47 -0400
                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-10 17:54 -0700
                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 00:22 -0400
                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-11 09:48 -0700
                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 14:47 -0400
                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:06 +0200
                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-13 12:28 -0400
                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 16:43 +0200
                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 13:13 -0400
                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 20:07 +0200
                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 15:47 -0400
                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 22:03 +0200
                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 20:00 -0400
                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:27 +0200
                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:50 +0200
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 19:18 +0200
                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:46 +0200
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 13:17 -0700
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-17 21:26 -0400
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 11:24 +0200
                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 11:21 +0000
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 14:06 +0200
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 15:18 +0200
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 15:27 +0000
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:09 +0200
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 10:09 -0400
                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:54 +0200
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:55 -0400
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:15 +0200
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:31 -0400
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:44 +0200
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-16 11:34 -0400
                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 18:55 +0200
                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-16 17:26 +0000
                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-16 18:39 -0400
                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:22 +0200
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-17 18:39 +0000
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 20:44 +0200
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:52 +0200
                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-17 21:22 +0000
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 23:30 +0200
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:10 +0200
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-19 01:20 -0700
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 14:19 +0200
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 12:20 +0000
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 15:38 +0200
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 14:24 +0000
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 19:06 +0200
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 17:32 +0000
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 19:57 +0200
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 18:22 +0000
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 21:02 +0200
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 20:19 +0000
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:30 +0200
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 09:39 +0000
                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 11:59 +0200
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 12:56 +0000
                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:27 +0200
                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:31 -0400
                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:30 -0400
                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:28 +0200
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:30 -0400
                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:39 +0200
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:57 -0700
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:57 -0700
                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:37 +0200
                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:08 -0700
                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:18 +0200
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 17:57 -0400
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 15:16 -0700
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 15:30 -0700
                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 18:19 -0700
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 22:48 +0200
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:00 -0700
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 14:04 -0400
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:22 +0200
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 15:21 +0000
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:04 +0200
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:02 +0000
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:41 -0400
                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-17 18:34 -0400
                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:16 +0200
                                                                                                                                                                                                                                                                          Re: Even numbers joes <noreply@example.org> - 2024-10-19 11:31 +0000
                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 12:04 -0400
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 11:04 -0700
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 12:40 -0700
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 13:43 -0700
                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:19 +0200
                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 18:54 -0400
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 18:56 -0700
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 09:36 -0400
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-20 09:30 -0700
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 14:33 -0400
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-20 17:20 -0700
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 12:21 -0400
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-21 11:09 -0700
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-22 17:49 -0700
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-23 11:05 -0400
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-23 10:38 -0700
                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 15:44 -0400
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-26 09:22 -0700
                                                                                                                                                                                                                                                                                                        Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-28 16:15 -0400
                                                                                                                                                                                                                                                                                                          Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-28 14:45 -0700
                                                                                                                                                                                                                                                                                                            Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-29 10:38 -0400
                                                                                                                                                                                                                                                                                                              Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-29 22:27 -0700
                                                                                                                                                                                                                                                                                                                Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-30 12:18 -0400
                                                                                                                                                                                                                                                                                                                  Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-30 11:34 -0700
                                                                                                                                                                                                                                                                                                                    Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-30 14:55 -0400
                                                                                                                                                                                                                                                                                                                      Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-30 13:00 -0700
                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:48 +0200
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 09:21 +0000
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 11:49 +0200
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 12:20 +0000
                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:56 -0400
                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:26 +0200
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:34 -0400
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 11:54 -0700
                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:31 -0400
                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:50 +0200
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:53 -0700
                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 10:09 +0200
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 01:55 -0700
                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-21 05:21 -0400
                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 12:01 +0200
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-21 07:10 -0400
                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 08:30 -0400
                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 20:25 +0200
                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 16:34 -0400
                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 14:16 -0700
                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 10:13 +0200
                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 10:37 -0400
                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 12:03 -0400
                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 18:12 +0200
                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 13:38 -0400
                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 20:34 +0200
                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-23 14:39 -0400
                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-24 12:58 +0200
                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-24 13:34 -0400
                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-24 10:58 -0700
                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-25 10:49 -0700
                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-24 20:58 +0200
                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-24 12:46 -0700
                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-24 21:51 +0200
                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 00:33 -0400
                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-25 13:42 +0200
                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 10:53 -0400
                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-25 18:57 +0200
                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-25 11:50 -0700
                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 15:05 -0400
                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-25 21:15 +0200
                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 23:21 -0400
                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-26 18:04 +0200
                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-26 12:35 -0700
                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 08:38 +0100
                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-27 07:38 -0400
                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-27 09:39 -0400
                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:15 +0100
                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-27 18:09 +0100
                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-27 15:01 -0400
                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 10:49 +0100
                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 07:17 -0400
                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 20:42 +0100
                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-28 14:06 -0700
                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-28 23:28 +0100
                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 19:58 -0400
                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-29 09:36 +0100
                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-29 07:09 -0400
                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-29 11:55 +0000
                                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-29 15:16 -0700
                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-28 10:07 -0400
                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 21:05 +0100
                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-28 16:51 -0400
                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-29 09:26 +0100
                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-29 06:02 -0400
                                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 12:53 +0100
                                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 08:57 -0400
                                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 15:04 +0100
                                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 11:43 -0400
                                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 20:48 +0100
                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:04 -0700
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:05 -0700
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 21:17 +0100
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 21:19 +0100
                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:33 -0700
                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:34 -0700
                                                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 22:14 +0100
                                                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 22:53 +0100
                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:27 +0100
                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 16:24 -0400
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:24 +0100
                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 04:29 -0400
                                                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:41 +0100
                                                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 05:04 -0400
                                                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 10:31 +0100
                                                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 07:00 -0400
                                                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 16:38 +0100
                                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 12:02 -0400
                                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:24 +0100
                                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
                                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:27 -0700
                                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 15:49 -0400
                                                                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 13:08 -0700
                                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
                                                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
                                                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:33 +0100
                                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:24 -0700
                                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
                                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:32 -0700
                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
                                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:00 -0700
                                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
                                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:28 +0100
                                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-31 20:46 +0000
                                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-31 22:36 +0100
                                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-01 11:07 +0100
                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-01 20:55 -0400
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 11:23 +0100
                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 12:02 -0400
                                                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:56 +0100
                                                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 16:30 -0400
                                                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 22:37 +0100
                                                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 20:17 -0400
                                                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-11-02 20:38 -0700
                                                                                                                                                                                                                                                                                                                                                                                          Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 12:42 +0100
                                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-03 07:13 -0500
                                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 15:09 +0100
                                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-03 16:21 -0500
                                                                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-04 12:04 +0100
                                                                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-04 07:12 -0500
                                                                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-04 18:10 +0100
                                                                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-04 22:08 -0500
                                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-11-03 14:53 +0000
                                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 17:55 +0100
                                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-11-02 12:30 +0000
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 13:36 +0100
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 13:42 +0100
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 14:03 +0100
                                                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:40 +0100
                                                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:36 +0100
                                                                                                                                                                                                                                                                                                                                                                        Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
                                                                                                                                                                                                                                                                                                                                                            Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 20:21 -0400
                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:20 +0100
                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-27 14:00 -0400
                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 11:42 +0100
                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 07:17 -0400
                                                                                                                                                                                                                                                                                                                                                      Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-28 12:35 +0000
                                                                                                                                                                                                                                                                                                                                                  Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-28 16:33 +0000
                                                                                                                                                                                                                                                                                                                                                    Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 21:07 +0100
                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-27 12:54 -0700
                                                                                                                                                                                                                                                                                                                                              Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-27 14:54 +0100
                                                                                                                                                                                                                                                                                                                                                Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:12 +0100

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#631186

Fromjoes <noreply@example.org>
Date2024-09-09 15:14 +0000
Message-ID<62cbfad51b480bf9087dc0e827f41d17f723e8c6@i2pn2.org>
In reply to#631184
Am Mon, 09 Sep 2024 17:01:35 +0200 schrieb WM:
> On 09.09.2024 13:47, Richard Damon wrote:
>> On 9/9/24 6:31 AM, WM wrote:
> 
>>> And all gaps are occupied by the unit fractions. Hence every gap is
>>> too small.
>> But there is always room at the bottom, where the gaps keep getting
>> smaller
> They all are present from the start. I simply choose a gap that is too
> small to contain ℵo unit fractions.
How do you do that?

>> How can a claim a set of values less then a SPECIFIC NUMBER if I don't
>> have the number?
> I claim that all unit fractions are existing as real points of the real
> line. Therefore there is a first one. NUF(x) cannot increase without
> passing 1 when real points are counted. Your ℵo points cannot exist
> without including 1, 2, 3 first points.
Those first points are on the right, obviously.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.

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#631192

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-09 17:26 +0200
Message-ID<vbn42l$2em18$6@dont-email.me>
In reply to#631186
On 09.09.2024 17:14, joes wrote:
> Am Mon, 09 Sep 2024 17:01:35 +0200 schrieb WM:

>> They all are present from the start. I simply choose a gap that is too
>> small to contain ℵo unit fractions.
> How do you do that?

I know that all exist.
> 
>>> How can a claim a set of values less then a SPECIFIC NUMBER if I don't
>>> have the number?
>> I claim that all unit fractions are existing as real points of the real
>> line. Therefore there is a first one. NUF(x) cannot increase without
>> passing 1 when real points are counted. Your ℵo points cannot exist
>> without including 1, 2, 3 first points.
> Those first points are on the right, obviously.

If ℵo points are there, then one is on the left-hand side. Note that 
they are real points on the real line. There cannot be more points 
unless they start with 1. Everything else is belief in ghosts of matheology

Regards, WM

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#631196

Fromjoes <noreply@example.org>
Date2024-09-09 15:51 +0000
Message-ID<bc5d2cc4ff6b887f27514a9381ddeaf227796c8d@i2pn2.org>
In reply to#631192
Am Mon, 09 Sep 2024 17:26:12 +0200 schrieb WM:
> On 09.09.2024 17:14, joes wrote:
>> Am Mon, 09 Sep 2024 17:01:35 +0200 schrieb WM:
> 
>>> They all are present from the start. I simply choose a gap that is too
>>> small to contain ℵo unit fractions.
>> How do you do that?
> I know that all exist.
All unit fractions? How do you choose that interval?

>>>> How can a claim a set of values less then a SPECIFIC NUMBER if I
>>>> don't have the number?
>>> I claim that all unit fractions are existing as real points of the
>>> real line. Therefore there is a first one. NUF(x) cannot increase
>>> without passing 1 when real points are counted. Your ℵo points cannot
>>> exist without including 1, 2, 3 first points.
>> Those first points are on the right, obviously.
> If ℵo points are there, then one is on the left-hand side.
Why should that be so? It is contradicted by the infinity of unit
fractions, and there is clearly an end on the right, and you can
step to the left, so there can’t be an end (other than a limit).

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.

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#631207

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-09 21:07 +0200
Message-ID<vbnh1a$2gn74$3@dont-email.me>
In reply to#631196
On 09.09.2024 17:51, joes wrote:
> Am Mon, 09 Sep 2024 17:26:12 +0200 schrieb WM:
>> On 09.09.2024 17:14, joes wrote:

>> If ℵo points are there, then one is on the left-hand side.
> Why should that be so? 

This is so because every sequence of points on the positive real axis 
has either one smallest point or more than one. In any case it has a 
beginning because real points of a sequence do not appear after an 
opaque cloud.

Regards, WM

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#631231

Fromjoes <noreply@example.org>
Date2024-09-10 05:59 +0000
Message-ID<5c84b4745ab54782bbf4c40b0354bb931496e7a8@i2pn2.org>
In reply to#631207
Am Mon, 09 Sep 2024 21:07:22 +0200 schrieb WM:
> On 09.09.2024 17:51, joes wrote:
>> Am Mon, 09 Sep 2024 17:26:12 +0200 schrieb WM:
>>> On 09.09.2024 17:14, joes wrote:
> 
>>> If ℵo points are there, then one is on the left-hand side.
>> Why should that be so?
> This is so because every sequence of points on the positive real axis
> has either one smallest point or more than one. In any case it has a
> beginning because real points of a sequence do not appear after an
> opaque cloud.
They do in fact.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.

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#631240

FromRichard Damon <richard@damon-family.org>
Date2024-09-10 07:59 -0400
Message-ID<4111e56e71e801d0462ee08ff7ac46329424bdf3@i2pn2.org>
In reply to#631207
On 9/9/24 3:07 PM, WM wrote:
> On 09.09.2024 17:51, joes wrote:
>> Am Mon, 09 Sep 2024 17:26:12 +0200 schrieb WM:
>>> On 09.09.2024 17:14, joes wrote:
> 
>>> If ℵo points are there, then one is on the left-hand side.
>> Why should that be so? 
> 
> This is so because every sequence of points on the positive real axis 
> has either one smallest point or more than one. In any case it has a 
> beginning because real points of a sequence do not appear after an 
> opaque cloud.
> 
> Regards, WM
> 

But that rule only holds for FINITE sequences.

Infinite sequences might have NO smallest points.

It isn't an "opaque cloud" that stops them from having a smallest, but a 
infinite accumulation of values at that bound (that is outside the set).

If that is a cloud that you can't see and say is an opaque cloud, then 
the issue is YOU, not the numbers. They all exist, and have the 
property, even if it seems impossible to you.

Just like people on the other side of the world think we are "below" 
them while we might think they are "below" us.

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#631255

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-10 21:07 +0200
Message-ID<vbq5e1$31fu7$1@dont-email.me>
In reply to#631240
On 10.09.2024 13:59, Richard Damon wrote:

> It isn't an "opaque cloud" that stops them from having a smallest, but a 
> infinite accumulation of values at that bound (that is outside the set).

One or finitely many or a cloud. More is not available.

Regards, WM

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#631288

FromRichard Damon <richard@damon-family.org>
Date2024-09-10 21:53 -0400
Message-ID<a7dd871a4e90f0c0a84d129f21c45e512c6f7388@i2pn2.org>
In reply to#631255
On 9/10/24 3:07 PM, WM wrote:
> On 10.09.2024 13:59, Richard Damon wrote:
> 
>> It isn't an "opaque cloud" that stops them from having a smallest, but 
>> a infinite accumulation of values at that bound (that is outside the 
>> set).
> 
> One or finitely many or a cloud. More is not available.
> 
> Regards, WM

But NONE is still an option

If you allow your "cloud" to have extent, then you can have your cloud.

So a cloud of all Aleph_0 unit fractions below x, exist in the range
(0, x)

But that is just punting the problem, as that cloud doesn't have a 
smallest element, and all the values are still distinct and are not your 
"dark" numbers, as all of the members are usable individually and are 
defined.

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#631239

FromRichard Damon <richard@damon-family.org>
Date2024-09-10 07:54 -0400
Message-ID<4709d809eb55895e0c1d06f98c5f55e22a8f223b@i2pn2.org>
In reply to#631192
On 9/9/24 11:26 AM, WM wrote:
> On 09.09.2024 17:14, joes wrote:
>> Am Mon, 09 Sep 2024 17:01:35 +0200 schrieb WM:
> 
>>> They all are present from the start. I simply choose a gap that is too
>>> small to contain ℵo unit fractions.
>> How do you do that?
> 
> I know that all exist.
>>
>>>> How can a claim a set of values less then a SPECIFIC NUMBER if I don't
>>>> have the number?
>>> I claim that all unit fractions are existing as real points of the real
>>> line. Therefore there is a first one. NUF(x) cannot increase without
>>> passing 1 when real points are counted. Your ℵo points cannot exist
>>> without including 1, 2, 3 first points.
>> Those first points are on the right, obviously.
> 
> If ℵo points are there, then one is on the left-hand side. Note that 
> they are real points on the real line. There cannot be more points 
> unless they start with 1. Everything else is belief in ghosts of matheology
> 
> Regards, WM
> 

Why? That is finite thinking. For any one I chose, there are more to the 
left.

Why can't there be more, they are infinite, and thus exist without limit.

Your disbelief in "mathology" is just your own superstition of being 
afraid of things you don't understand.

Just like flat earthers who can't understand why people on the other 
side don't "fall off" since the sky to them is "down" (to us)

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#631217

From"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Date2024-09-09 15:50 -0700
Message-ID<vbnu40$2it6e$1@dont-email.me>
In reply to#631184
On 9/9/2024 8:01 AM, WM wrote:
> On 09.09.2024 13:47, Richard Damon wrote:
>> On 9/9/24 6:31 AM, WM wrote:
> 
>>> And all gaps are occupied by the unit fractions. Hence every gap is 
>>> too small.
>>
>> But there is always room at the bottom, where the gaps keep getting 
>> smaller
> 
> They all are present from the start. I simply choose a gap that is too 
> small to contain ℵo unit fractions.

Wtf are you talking about? The gaps keep getting smaller:

1/1 - 1/2
1/2 - 1/3
1/3 - 1/4
1/4 - 1/5
1/5 - 1/6
1/6 - 1/7
...

Forever.... They still get arbitrarily close to zero. Don't try to mix 
and match reals with the unit fractions willy nilly. All unit fractions 
are reals, not all reals are unit fractions. See?


>> How can a claim a set of values less then a SPECIFIC NUMBER if I don't 
>> have the number?
> 
> I claim that all unit fractions are existing as real points of the real 
> line. Therefore there is a first one. NUF(x) cannot increase without 
> passing 1 when real points are counted. Your ℵo points cannot exist 
> without including 1, 2, 3 first points.
> 
> Regards, WM
> 
> 
> 

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#631218

From"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Date2024-09-09 15:57 -0700
Message-ID<vbnug3$2it6e$2@dont-email.me>
In reply to#631217
On 9/9/2024 3:50 PM, Chris M. Thomasson wrote:
> On 9/9/2024 8:01 AM, WM wrote:
>> On 09.09.2024 13:47, Richard Damon wrote:
>>> On 9/9/24 6:31 AM, WM wrote:
>>
>>>> And all gaps are occupied by the unit fractions. Hence every gap is 
>>>> too small.
>>>
>>> But there is always room at the bottom, where the gaps keep getting 
>>> smaller
>>
>> They all are present from the start. I simply choose a gap that is too 
>> small to contain ℵo unit fractions.
> 
> Wtf are you talking about? The gaps keep getting smaller:
> 
> 1/1 - 1/2
> 1/2 - 1/3
> 1/3 - 1/4
> 1/4 - 1/5
> 1/5 - 1/6
> 1/6 - 1/7
> ...
> 
> Forever.... They still get arbitrarily close to zero. Don't try to mix 
> and match reals with the unit fractions willy nilly. All unit fractions 
> are reals, not all reals are unit fractions. See?
> 
> 
>>> How can a claim a set of values less then a SPECIFIC NUMBER if I 
>>> don't have the number?
>>
>> I claim that all unit fractions are existing as real points of the 
>> real line. Therefore there is a first one. NUF(x) cannot increase 
>> without passing 1 when real points are counted. Your ℵo points cannot 
>> exist without including 1, 2, 3 first points.
>>
>> Regards, WM
>>
>>
>>
> 

Between zero and any positive non-zero x there is a unit fraction small 
enough to fit in the gap. The x can even be a real that is not a unit 
fraction.

Between x and any y that is different than it, there will be a unit 
fraction to fit into the gap. infinitely many.... :^)

Say the gap is abs(x - y) where x and y can be real. If they are 
different (aka abs(x - y) does not equal zero), then there are 
infinitely many unit fractions that sit between them.

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#633404

From"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Date2024-11-05 15:48 -0800
Message-ID<vgeas2$1oohi$1@dont-email.me>
In reply to#631218
On 9/9/2024 3:57 PM, Chris M. Thomasson wrote:
> On 9/9/2024 3:50 PM, Chris M. Thomasson wrote:
>> On 9/9/2024 8:01 AM, WM wrote:
>>> On 09.09.2024 13:47, Richard Damon wrote:
>>>> On 9/9/24 6:31 AM, WM wrote:
>>>
>>>>> And all gaps are occupied by the unit fractions. Hence every gap is 
>>>>> too small.
>>>>
>>>> But there is always room at the bottom, where the gaps keep getting 
>>>> smaller
>>>
>>> They all are present from the start. I simply choose a gap that is 
>>> too small to contain ℵo unit fractions.
>>
>> Wtf are you talking about? The gaps keep getting smaller:
>>
>> 1/1 - 1/2
>> 1/2 - 1/3
>> 1/3 - 1/4
>> 1/4 - 1/5
>> 1/5 - 1/6
>> 1/6 - 1/7
>> ...
>>
>> Forever.... They still get arbitrarily close to zero. Don't try to mix 
>> and match reals with the unit fractions willy nilly. All unit 
>> fractions are reals, not all reals are unit fractions. See?
>>
>>
>>>> How can a claim a set of values less then a SPECIFIC NUMBER if I 
>>>> don't have the number?
>>>
>>> I claim that all unit fractions are existing as real points of the 
>>> real line. Therefore there is a first one. NUF(x) cannot increase 
>>> without passing 1 when real points are counted. Your ℵo points cannot 
>>> exist without including 1, 2, 3 first points.
>>>
>>> Regards, WM
>>>
>>>
>>>
>>
> 
> Between zero and any positive non-zero x there is a unit fraction small 
> enough to fit in the gap. The x can even be a real that is not a unit 
> fraction.
> 
> Between x and any y that is different than it, there will be a unit 
> fraction to fit into the gap. infinitely many.... :^)
> 
> Say the gap is abs(x - y) where x and y can be real. If they are 
> different (aka abs(x - y) does not equal zero), then there are 
> infinitely many unit fractions that sit between them.

The difference between any two points can be (is already) normalized 
where 1/2 is half way there. Two points wrt they are not identical to 
each other.

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#631238

FromRichard Damon <richard@damon-family.org>
Date2024-09-10 07:52 -0400
Message-ID<26a398ed7b533d2780edd724634fa1c571d29b42@i2pn2.org>
In reply to#631184
On 9/9/24 11:01 AM, WM wrote:
> On 09.09.2024 13:47, Richard Damon wrote:
>> On 9/9/24 6:31 AM, WM wrote:
> 
>>> And all gaps are occupied by the unit fractions. Hence every gap is 
>>> too small.
>>
>> But there is always room at the bottom, where the gaps keep getting 
>> smaller
> 
> They all are present from the start. I simply choose a gap that is too 
> small to contain ℵo unit fractions.
>> How can a claim a set of values less then a SPECIFIC NUMBER if I don't 
>> have the number?
> 
> I claim that all unit fractions are existing as real points of the real 
> line. Therefore there is a first one. NUF(x) cannot increase without 
> passing 1 when real points are counted. Your ℵo points cannot exist 
> without including 1, 2, 3 first points.
> 
> Regards, WM
> 
> 
> 

And are just wrong, because you don't understand what it means to be 
"existing" or to be a "real point".

Thus, you are just ignorant of what you talk about as your brain has 
exploded itself in the contradictions.

The problem is your NUF(x) can't actually be defined the way you do, as 
it is based on false assumptions, namely the countability of values from 
an unbounded end.

Sorry, you are just proving your stupidity.

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#631179

Fromjoes <noreply@example.org>
Date2024-09-09 11:51 +0000
Message-ID<a105abe6c52cef1404a40c5f386a3278c7c31187@i2pn2.org>
In reply to#631170
Am Mon, 09 Sep 2024 12:31:55 +0200 schrieb WM:
> On 08.09.2024 22:11, Richard Damon wrote:
>> On 9/8/24 3:52 PM, WM wrote:
>>> On 07.09.2024 16:51, Richard Damon wrote:
>>>> On 9/7/24 9:45 AM, WM wrote:
>>>
>>>>> Because ℵo unit fractions have ℵo gaps. We can use one of the gaps
>>>>> as x  > 0.
>>>> But you started with that x, so it was fixed to begin with.
>>> No, it is the size of one of the gaps between two adjacent unit
>>> fractions, ℵo of which are claimed to fit into (0, x).
>> So it is the size of *ONE* of the gaps, you need to choose which one,
>> as all the gaps are different sizes.
> And all gaps are occupied by the unit fractions. Hence every gap is too
> small.
In which sense are the gaps „occupied”?

>> Remember, just as there is no smallest unit fraction, there is no
>> smallest gap, so you can't specify choosing the smallest.
>> The fact that the choice is for ANY, it requires you to actually CHOOSE
>> one, and then we can find the Aleph_0 smaller.
> No. First you claim the unit fractions with their gaps. Then I choose
> one of them, irrelevant which one. Each one is smaller than all.
Each gap is smaller than all gaps?

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.

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#631191

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-09 17:19 +0200
Message-ID<vbn3m9$2em18$5@dont-email.me>
In reply to#631179
On 09.09.2024 13:51, joes wrote:
> Am Mon, 09 Sep 2024 12:31:55 +0200 schrieb WM:

>> Al gaps are occupied by the unit fractions. Hence every gap is too
>> small.
> In which sense are the gaps „occupied”?

ℵo unit fractions cover a distance d which is the sum of the gaps 
between them.
> 
>> First you claim the unit fractions with their gaps. Then I choose
>> one of them, irrelevant which one. Each one is smaller than all.
> Each gap is smaller than all gaps?

The sum of all gaps is larger than one of them.

Regards, WM

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#631241

FromRichard Damon <richard@damon-family.org>
Date2024-09-10 08:03 -0400
Message-ID<299bab6d91b3a2e93f9d6f97441642d136147769@i2pn2.org>
In reply to#631191
On 9/9/24 11:19 AM, WM wrote:
> On 09.09.2024 13:51, joes wrote:
>> Am Mon, 09 Sep 2024 12:31:55 +0200 schrieb WM:
> 
>>> Al gaps are occupied by the unit fractions. Hence every gap is too
>>> small.
>> In which sense are the gaps „occupied”?
> 
> ℵo unit fractions cover a distance d which is the sum of the gaps 
> between them.
>>
>>> First you claim the unit fractions with their gaps. Then I choose
>>> one of them, irrelevant which one. Each one is smaller than all.
>> Each gap is smaller than all gaps?
> 
> The sum of all gaps is larger than one of them.
> 
> Regards, WM
> 
> 

But there is an infinte set of gaps that will fit into any of them.

You keep getting your criteria order messed up.

Of course you can't fit ALL the Aleph_0 gaps into a smaller gap, but you 
CAN fit a subset of size Aleph_0 into there by removing the biggest ones 
until the total is small enough, and you will only need to remove a 
finite number of them, so you still have Aleph_0 left.

The fact that arithmetic blows you mind is why you have problems, you 
just don't understand the rules of arithmatic on infinite unbounded 
values, because you are stuck with the rule of just finite mathematics.

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#631157

Fromjoes <noreply@example.org>
Date2024-09-08 20:16 +0000
Message-ID<f284f181cbaa82c70b24d2d366eb48305227ec2d@i2pn2.org>
In reply to#631112
Am Sat, 07 Sep 2024 15:45:08 +0200 schrieb WM:
> On 07.09.2024 15:37, joes wrote:
>> Am Sat, 07 Sep 2024 15:03:35 +0200 schrieb WM:
> 
>>> By the way this is independent of the existence of NUF.
>> Why can they not „fit”?
> Because ℵo unit fractions have ℵo gaps. We can use one of the gaps as
> x > 0.
What does this mean?

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.

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#631171

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-09 12:36 +0200
Message-ID<vbmj35$2ce09$1@dont-email.me>
In reply to#631157
On 08.09.2024 22:16, joes wrote:
> Am Sat, 07 Sep 2024 15:45:08 +0200 schrieb WM:
>> On 07.09.2024 15:37, joes wrote:
>>> Am Sat, 07 Sep 2024 15:03:35 +0200 schrieb WM:
>>
>>>> By the way this is independent of the existence of NUF.
>>> Why can they not „fit”?
>> Because ℵo unit fractions have ℵo gaps. We can use one of the gaps as
>> x > 0.
> What does this mean?

ℵo unit fractions are claimed to be smaller than every x > 0. If they 
are existing then I can choose as the x one of the ℵo intervals between 
two of them. Irrelevant which one, ℵo unit fractions do not fit into it.

Regards, WM

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#631180

FromRichard Damon <richard@damon-family.org>
Date2024-09-09 07:55 -0400
Message-ID<02d7959bf667f7dc329817bf5f5482752cc99b15@i2pn2.org>
In reply to#631171
On 9/9/24 6:36 AM, WM wrote:
> On 08.09.2024 22:16, joes wrote:
>> Am Sat, 07 Sep 2024 15:45:08 +0200 schrieb WM:
>>> On 07.09.2024 15:37, joes wrote:
>>>> Am Sat, 07 Sep 2024 15:03:35 +0200 schrieb WM:
>>>
>>>>> By the way this is independent of the existence of NUF.
>>>> Why can they not „fit”?
>>> Because ℵo unit fractions have ℵo gaps. We can use one of the gaps as
>>> x > 0.
>> What does this mean?
> 
> ℵo unit fractions are claimed to be smaller than every x > 0. If they 
> are existing then I can choose as the x one of the ℵo intervals between 
> two of them. Irrelevant which one, ℵo unit fractions do not fit into it.
> 
> Regards, WM
> 

You seem to be conusing "below" and "into".

Is your English that bad?

The gaps (each | is a unit fraction)

  .... | gap | gap | gap | ... gaps | x

the claim is that there are aleph_0 gaps between the unit fractions below x.

Moving x down to one of the gaps doesn't mean we need to compress all 
those unit fractions into just one of the gaps.

BELOW the x, is still ALeph_0 unit fractions, as by choosing a gap, you 
only removed a finite number of the Aleph_0 unit fractions, so Aleph_0 
still remain.

The fact that you don't understand that Aleph_0 - a finite number = 
Aleph_0 is your own problem, but *IS* a fact of mathematics.

Note, the interval (0, x) doesn't "begin" at a unit fraction, in part 
because there is no point it begins at, as our number system is DENSE, 
and so the lower boundry is 0, so the only point on the boundry there is 
0, but that is OUTSIDE the interval. there is no "point" just inside, as 
it is an unbounded set.

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#631115

FromPython <python@invalid.org>
Date2024-09-07 16:05 +0200
Message-ID<vbhmj4$1cg6l$4@dont-email.me>
In reply to#631097
Le 07/09/2024 à 15:03, WM a écrit :
> On 07.09.2024 14:37, Richard Damon wrote:
>> On 9/7/24 8:04 AM, WM wrote:
> 
>>> NUF(x) changes by 1 because a change by more at any x would count 
>>> more different unit fractions 1/n,  1/m, 1/k, ... which are identical 
>>> because they are the same x = 1/n = 1/m = 1/k = ... .
>>>
>> And thus is always has a value of aleph_0 for all x > 0, since there 
>> is always aleph_0 unit fractions below and finite positive x value.
> 
> Stop that nonsense. ℵo unit fractions cannot fit into every interval (0, 
> x). 

Of course they can.

"There's Plenty of Room at the Bottom" — Richard Feynman.

> The distance between two unit fractions already is larger.

Some are, but for ℵo pairs of them they be arbitrary small
(i.e. < x).

How can you be so wrong on such elementary stuff Crank Mückenheim?




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