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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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#631487

FromRichard Damon <richard@damon-family.org>
Date2024-09-18 18:50 -0400
Message-ID<5b130929c7f56ea83246b7f6534ba5fae4598c62@i2pn2.org>
In reply to#631474
On 9/18/24 8:33 AM, WM wrote:
> On 15.09.2024 23:07, joes wrote:
>> Am Sun, 15 Sep 2024 21:52:30 +0200 schrieb WM:
> 
>>> No definable points, to be precise. If there is no point next to 0 then
>>> there is a gap. I do not accept gaps on the real line.
>> I.e. „neighbouring” points can’t be defined. There are no gaps.
> 
> So it is.These points are dark.
> 
> Regards, WM
> 
> 

Nope, they just aren't.

To be distinct points, there must be a gap, so they can not be 
neighboring, the space is filled by more points, creating smaller and 
smaller gaps, that only disappear in the infinite.

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#631495

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-19 13:22 +0200
Message-ID<vch1i5$hvkm$1@dont-email.me>
In reply to#631487
On 19.09.2024 00:50, Richard Damon wrote:
> On 9/18/24 8:33 AM, WM wrote:
>> On 15.09.2024 23:07, joes wrote:
>>> Am Sun, 15 Sep 2024 21:52:30 +0200 schrieb WM:
>>
>>>> No definable points, to be precise. If there is no point next to 0 then
>>>> there is a gap. I do not accept gaps on the real line.
>>> I.e. „neighbouring” points can’t be defined. There are no gaps.
>>
>> So it is.These points are dark.
>
> Nope, they just aren't.
> 
> To be distinct points, there must be a gap, so they can not be 
> neighboring,

There are infinitely many points with no extension filling the space.

> the space is filled by more points, creating smaller and 
> smaller gaps

That is potential infinity. In actual infinity all points are there at once.

Regards, WM


, that only disappear in the infinite.

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#631496

FromRichard Damon <richard@damon-family.org>
Date2024-09-19 07:44 -0400
Message-ID<2551da6710975930f68b61f8e76ea6990411168b@i2pn2.org>
In reply to#631495
On 9/19/24 7:22 AM, WM wrote:
> On 19.09.2024 00:50, Richard Damon wrote:
>> On 9/18/24 8:33 AM, WM wrote:
>>> On 15.09.2024 23:07, joes wrote:
>>>> Am Sun, 15 Sep 2024 21:52:30 +0200 schrieb WM:
>>>
>>>>> No definable points, to be precise. If there is no point next to 0 
>>>>> then
>>>>> there is a gap. I do not accept gaps on the real line.
>>>> I.e. „neighbouring” points can’t be defined. There are no gaps.
>>>
>>> So it is.These points are dark.
>>
>> Nope, they just aren't.
>>
>> To be distinct points, there must be a gap, so they can not be 
>> neighboring,
> 
> There are infinitely many points with no extension filling the space.

Right, and none "next" to another, because there is always another in 
between them.

> 
>> the space is filled by more points, creating smaller and smaller gaps
> 
> That is potential infinity. In actual infinity all points are there at 
> once.

No, that is what infinity actually is. There are not two different 
"kinds" of it. All the point do exist, and we can express any of them.

Unless your difference is trying to express the difference between 
Aleph_0 and Omega, but failing.

It seems you are just inventing a term to break your logic system, and 
you need to figure out what you actually mean by "all are there at once" 
actually means, since in the potential, all the points are defined.

There are an infinite number of Natural and Rational Numbers. That 
number is called Aleph_0

There is no highest value for either of these, and the unit fractions, 
the reciprocal of the Natural Numbers (> 0) thus have no lowest value, 
or one "next to" 0.

The Infinite Set of these values actually exists, and all the values are 
in it, so it seems that must be your actual infinity if it is to have 
any paractical meaning.

If you mean that we, as finite beings, could see all of them "at once" 
then you are just insane and don't undetstand what infinity actually is 
and your "actual infinity" just isn't actually infinity.

> 
> Regards, WM
> 
> 
> , that only disappear in the infinite.
> 

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#631500

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-19 15:02 +0200
Message-ID<vch7ce$ip4a$2@dont-email.me>
In reply to#631496
On 19.09.2024 13:44, Richard Damon wrote:
> On 9/19/24 7:22 AM, WM wrote:
>> On 19.09.2024 00:50, Richard Damon wrote:
>>> On 9/18/24 8:33 AM, WM wrote:
>>>> On 15.09.2024 23:07, joes wrote:
>>>>> Am Sun, 15 Sep 2024 21:52:30 +0200 schrieb WM:
>>>>
>>>>>> No definable points, to be precise. If there is no point next to 0 
>>>>>> then
>>>>>> there is a gap. I do not accept gaps on the real line.
>>>>> I.e. „neighbouring” points can’t be defined. There are no gaps.
>>>>
>>>> So it is.These points are dark.
>>>
>>> Nope, they just aren't.
>>>
>>> To be distinct points, there must be a gap, so they can not be 
>>> neighboring,
>>
>> There are infinitely many points with no extension filling the space.
> 
> Right, and none "next" to another, because there is always another in 
> between them.

"always another" is potential infinity. I am discussing actual infinity 
where all are there at once and no "always" is used.
> 
>>
>>> the space is filled by more points, creating smaller and smaller gaps
>>
>> That is potential infinity. In actual infinity all points are there at 
>> once.
> 
> No, that is what infinity actually is. There are not two different 
> "kinds" of it. All the point do exist, and we can express any of them.

Then you need no "always" but can point directly to the first point next 
to another.
> The Infinite Set of these values actually exists, and all the values are 
> in it,

that includes the first point of the interval and the second and so on.

Regards, WM

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#631509

FromJim Burns <james.g.burns@att.net>
Date2024-09-19 15:15 -0400
Message-ID<cab71715-970a-4d56-aec0-e09e3f330716@att.net>
In reply to#631500
On 9/19/2024 9:02 AM, WM wrote:
> On 19.09.2024 13:44, Richard Damon wrote:
>> On 9/19/24 7:22 AM, WM wrote:

>>> There are infinitely many points with no extension
>>> filling the space.
>>
>> Right,
>> and none "next" to another, because
>> there is always another in between them.
>
> "always another" is potential infinity.

For each finite ordinal ξ,
always another finite ordinal ξ∪{ξ} > ξ exists.

The set ω of all and only finite ordinals
holds all and only finite ordinals.

> I am discussing actual infinity 
> where all are there at once and no "always" is used.

Your actual.infinityᵂᴹ
doesn't contain a subset which is non.2.ended  but
contains a subset of a subset which is non.2.ended.
Which is gibberish.

But it's 'no.always' gibberish. So, you win, I guess?


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#631526

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-20 20:27 +0200
Message-ID<vckeqk$1709n$4@dont-email.me>
In reply to#631509
On 19.09.2024 21:15, Jim Burns wrote:
> On 9/19/2024 9:02 AM, WM wrote:
>> On 19.09.2024 13:44, Richard Damon wrote:
>>> On 9/19/24 7:22 AM, WM wrote:
> 
>>>> There are infinitely many points with no extension
>>>> filling the space.
>>>
>>> Right,
>>> and none "next" to another, because
>>> there is always another in between them.
>>
>> "always another" is potential infinity.
> 
> For each finite ordinal ξ,
> always another finite ordinal ξ∪{ξ} > ξ exists.

Potential infinity.
> 
> The set ω of all and only finite ordinals
> holds all and only finite ordinals.
> 
And there is no gap before ω.

Regards, WM

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#631528

Fromjoes <noreply@example.org>
Date2024-09-20 19:02 +0000
Message-ID<4223ecd70642adabfbea1ccf49d37ffdeec7a930@i2pn2.org>
In reply to#631526
Am Fri, 20 Sep 2024 20:27:32 +0200 schrieb WM:
> On 19.09.2024 21:15, Jim Burns wrote:
>> On 9/19/2024 9:02 AM, WM wrote:
>>> On 19.09.2024 13:44, Richard Damon wrote:
>>>> On 9/19/24 7:22 AM, WM wrote:
>> 
>>>>> There are infinitely many points with no extension filling the
>>>>> space.
>>>> Right,
>>>> and none "next" to another, because there is always another in
>>>> between them.
>>> "always another" is potential infinity.
>> For each finite ordinal ξ,
>> always another finite ordinal ξ∪{ξ} > ξ exists.
> Potential infinity.
The other ordinal exists regardless.

>> The set ω of all and only finite ordinals holds all and only finite
>> ordinals.
> And there is no gap before ω.
There is an infinite gap, if you will.

-- 
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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#631552

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-21 15:41 +0200
Message-ID<vcmidk$hu9m$1@solani.org>
In reply to#631528
On 20.09.2024 21:02, joes wrote:
> Am Fri, 20 Sep 2024 20:27:32 +0200 schrieb WM:

>>> The set ω of all and only finite ordinals holds all and only finite
>>> ordinals.
>> And there is no gap before ω.
> There is an infinite gap, if you will.

No, I won't. What you call a gap is filled with numbers nobody can see - 
dark numbers.

Regards, WM

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#631536

FromJim Burns <james.g.burns@att.net>
Date2024-09-20 16:02 -0400
Message-ID<96c28ac2-3f03-4151-9588-d06003e57fcf@att.net>
In reply to#631526
On 9/20/2024 2:27 PM, WM wrote:
> On 19.09.2024 21:15, Jim Burns wrote:
>> On 9/19/2024 9:02 AM, WM wrote:
>>> On 19.09.2024 13:44, Richard Damon wrote:
>>>> On 9/19/24 7:22 AM, WM wrote:

>>>>> There are infinitely many points with no extension
>>>>> filling the space.
>>>>
>>>> Right,
>>>> and none "next" to another, because
>>>> there is always another in between them.
>>>
>>> "always another" is potential infinity.
>>
>> For each finite ordinal ξ,
>> always another finite ordinal ξ∪{ξ} > ξ exists.
>
> Potential infinity.

ξ ⟼ ξ∪{ξ}
is one.to.one
from finite ordinals
to (proper subset) nonzero finite ordinals

>> The set ω of all and only finite ordinals
>> holds all and only finite ordinals.
>
> And there is no gap before ω.

ω-1 requires impossibilities:
a gap between ω and (hypothetical) ω-1

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#631554

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-21 15:47 +0200
Message-ID<vcmip9$hu9m$4@solani.org>
In reply to#631536
On 20.09.2024 22:02, Jim Burns wrote:
> On 9/20/2024 2:27 PM, WM wrote:

>> And there is no gap before ω.
> 
> ω-1 requires impossibilities:
> a gap between ω and (hypothetical) ω-1

No. A gap is where something could be but is not.

Regards, WM

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#631556

FromJim Burns <james.g.burns@att.net>
Date2024-09-21 13:26 -0400
Message-ID<12466863-ed05-4a55-817f-2d42d61c14a5@att.net>
In reply to#631554
On 9/21/2024 9:47 AM, WM wrote:
> On 20.09.2024 22:02, Jim Burns wrote:
>> On 9/20/2024 2:27 PM, WM wrote:

>>> And there is no gap before ω.
>>
>> ω-1 requires impossibilities:
>> a gap between ω and (hypothetical) ω-1
>
> No.
> A gap is where something could be
> but is not.

Gaps are where you locate your darkᵂᴹ numbers.
⎛ Thus
⎜ it is no accident that
⎜ each darkᵂᴹ number is and is not.
⎜
⎜ Darkᵂᴹ numbers provide you Potemkin.facts
⎜ that mere numbers cannot.
⎜ Nothing is true, everything is true,
⎜ LOL nothing matters.
⎜
⎜ 🛇 Ordinals are well.ordered.
⎜ 🛇 Except for darkᵂᴹ ordinals.
⎝ 🛇 In the gap.

However,
'things always well.ordered' is
what we mean by 'ordinals'.

Whatever you say about
"things only sometimes well.ordered'
you are not saying about
WWMB (what we mean by) ordinals.

There are no non.well.ordered WWMB ordinals.

There is no finite WWMB ordinal α not.before
the first transfinite ordinal, WWMB ω

There is no finite WWMB ordinal α without
its WWMB successor α+1 before ω

There is no transfinite WWMB ordinal ξ before
the first transfinite ordinal, WWMB ω

There is no WWMB ordinal ω-1
no finite α, no transfinite ξ.

>>> And there is no gap before ω.

> A gap is where something could be
> but is not.

There is no WWMB ordinal before ω
which could be but is not.
In that sense, there is no gap.

There is no WWMB ω-1

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#631560

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-21 22:11 +0200
Message-ID<vcn99b$1nfqa$3@dont-email.me>
In reply to#631556
On 21.09.2024 19:26, Jim Burns wrote:
> On 9/21/2024 9:47 AM, WM wrote:
>> On 20.09.2024 22:02, Jim Burns wrote:
>>> On 9/20/2024 2:27 PM, WM wrote:
> 
>>>> And there is no gap before ω.
>>>
>>> ω-1 requires impossibilities:
>>> a gap between ω and (hypothetical) ω-1
>>
>> No.
>> A gap is where something could be
>> but is not.
> 
> Gaps are where you locate your darkᵂᴹ numbers.

Yes.
> However,
> 'things always well.ordered' is
> what we mean by 'ordinals'.

That is a potentially infinite collection.
> There are no non.well.ordered WWMB ordinals.

That may be.
> 
> There is no finite WWMB ordinal α not.before
> the first transfinite ordinal, WWMB ω
> 
> There is no finite WWMB ordinal α without
> its WWMB successor α+1 before ω
> 
> There is no transfinite WWMB ordinal ξ before
> the first transfinite ordinal, WWMB ω

That may be. But then there is no complete set of natural numbers and no ω.

Regards, WM

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#631561

FromJim Burns <james.g.burns@att.net>
Date2024-09-21 18:32 -0400
Message-ID<8bd8d560-205b-4c87-941c-2493e5e62011@att.net>
In reply to#631560
On 9/21/2024 4:11 PM, WM wrote:
> On 21.09.2024 19:26, Jim Burns wrote:
>> On 9/21/2024 9:47 AM, WM wrote:
>>> On 20.09.2024 22:02, Jim Burns wrote:
>>>> On 9/20/2024 2:27 PM, WM wrote:

>>>>> And there is no gap before ω.
>>>>
>>>> ω-1 requires impossibilities:
>>>> a gap between ω and (hypothetical) ω-1
>>>
>>> No.
>>> A gap is where something could be
>>> but is not.
>>
>> Gaps are where you locate your darkᵂᴹ numbers.
>
> Yes.
>
>> However,
>> 'things always well.ordered' is
>> what we mean by 'ordinals'.
>
> That is a potentially infinite collection.

If α is a finite ordinal, then α ∈ WWMB ω
If α isn't a finite ordinal, then α ∉ WWMB ω
WWMB "what we mean by"

By extensionality,
no other facts about WWMB ω exist.

>> There are no non.well.ordered WWMB ordinals.
>
> That may be.

That is what we mean.

>> There is no finite WWMB ordinal α not.before
>> the first transfinite ordinal, WWMB ω
>>
>> There is no finite WWMB ordinal α without
>> its WWMB successor α+1 before ω
>>
>> There is no transfinite WWMB ordinal ξ before
>> the first transfinite ordinal, WWMB ω
>
> That may be. But then
> there is no complete set of natural numbers
> and no ω.

WWMB ω is the first transfinite ordinal.
Existing or not.existing, WWMB ω isn't
anything other than the first transfinite ordinal.

As long as it's WWMB ω which you discuss,
WWMB ω-1 doesn't exist.

> there is no complete set of natural numbers

If we discuss Boolos's theory ST
⎛ ∃{}
⎜ ∃z=x∪{y}
⎝ extensionality
then
each of WWMB the natural numbers exist.
Showing that involves _saying_
in the language of ST, what that _means_
which we can do and I have done before, here.

If we accept plural.quantification
⎛ ∃∃{y:P(y)}
⎜ ∀x: x∈{y:P(y)} ⇔ P(x)
⎝ plural.extensionality
then
a predicate ℕ(y) "y is WWMB a natural number" exists
in the language of ST
and thus
the plurality {y:ℕ(y)} exists, of
all and only the natural numbers.

If we accept that, ω={y:ℕ(y)} and exists

OTOH, You could deny {} or x∪{y} or {y:P(y)}
and your denial would not be _illogical_

However, if you did, it would be a bad fit with
your argument that
darkᵂᴹ.number.deniers are matheological fanatics,
blind to "common sense".

{} not.exists?
x∪{y} not.exists?
{y:P(y)} not.exists?
But _we're_ the fanatics.

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#631569

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-09-22 15:22 +0200
Message-ID<vcp5ng$278um$3@dont-email.me>
In reply to#631561
On 22.09.2024 00:32, Jim Burns wrote:
> On 9/21/2024 4:11 PM, WM wrote:

>>> There is no transfinite WWMB ordinal ξ before
>>> the first transfinite ordinal, WWMB ω
>>
>> That may be. But then
>> there is no complete set of natural numbers
>> and no ω.
> 
> WWMB ω is the first transfinite ordinal.
> Existing or not.existing, WWMB ω isn't
> anything other than the first transfinite ordinal.
> 
> As long as it's WWMB ω which you discuss,
> WWMB ω-1 doesn't exist.

Then ω does not exist.

Regards, WM

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#631575

FromFromTheRafters <FTR@nomail.afraid.org>
Date2024-09-22 11:30 -0400
Message-ID<vcpd6a$28lg8$1@dont-email.me>
In reply to#631569
After serious thinking WM wrote :
> On 22.09.2024 00:32, Jim Burns wrote:
>> On 9/21/2024 4:11 PM, WM wrote:
>
>>>> There is no transfinite WWMB ordinal ξ before
>>>> the first transfinite ordinal, WWMB ω
>>>
>>> That may be. But then
>>> there is no complete set of natural numbers
>>> and no ω.
>> 
>> WWMB ω is the first transfinite ordinal.
>> Existing or not.existing, WWMB ω isn't
>> anything other than the first transfinite ordinal.
>> 
>> As long as it's WWMB ω which you discuss,
>> WWMB ω-1 doesn't exist.
>
> Then ω does not exist.

The elements of the set of natural numbers don't exist, or the set of 
natural numbers does not exist?

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#631577

FromJim Burns <james.g.burns@att.net>
Date2024-09-22 12:46 -0400
Message-ID<dcb1a402-dd96-46d2-b448-d10f1da39c34@att.net>
In reply to#631569
On 9/22/2024 9:22 AM, WM wrote:
> On 22.09.2024 00:32, Jim Burns wrote:
>> On 9/21/2024 4:11 PM, WM wrote:
>>> On 21.09.2024 19:26, Jim Burns wrote:

>>>> There is no transfinite WWMB ordinal ξ before
>>>> the first transfinite ordinal, WWMB ω
>>>
>>> That may be. But then
>>> there is no complete set of natural numbers
>>> and no ω.
>>
>> WWMB ω is the first transfinite ordinal.
>> Existing or not.existing, WWMB ω isn't
>> anything other than the first transfinite ordinal.
>>
>> As long as it's WWMB ω which you discuss,
>> WWMB ω-1 doesn't exist.
>
> Then ω does not exist.

If
we are discussing
Boolos's ST with plural quantification,
⎛ ∃{}
⎜ ∃z=x∪{y}
⎝ ∀.extensionality
⎛ ∃∃⦃y:P(y)⦄
⎜ ∀x:  x ∈ ⦃y:P(y)⦄  ⇔  P(x)
⎝ ∀∀.extensionality
then
there is WWMB ω = ⦃y:ℕ(y)⦄ and
there isn't WWMB ω-1 such that (ω-1)+1 = ω

Which of  {}  x∪{y}  ⦃y:P(y)⦄
do you deny exists?

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#631588

FromRichard Damon <richard@damon-family.org>
Date2024-09-22 15:20 -0400
Message-ID<0055d7ba85a82a42868a9b47ebefe6ccb7013b82@i2pn2.org>
In reply to#631569
On 9/22/24 9:22 AM, WM wrote:
> On 22.09.2024 00:32, Jim Burns wrote:
>> On 9/21/2024 4:11 PM, WM wrote:
> 
>>>> There is no transfinite WWMB ordinal ξ before
>>>> the first transfinite ordinal, WWMB ω
>>>
>>> That may be. But then
>>> there is no complete set of natural numbers
>>> and no ω.
>>
>> WWMB ω is the first transfinite ordinal.
>> Existing or not.existing, WWMB ω isn't
>> anything other than the first transfinite ordinal.
>>
>> As long as it's WWMB ω which you discuss,
>> WWMB ω-1 doesn't exist.
> 
> Then ω does not exist.
> 
> Regards, WM

OF course it does. You just don't understand the logic that makes it.

This is because you brain has been totally exploded by the 
contradictions created by your logic system depriving you of any 
understanding of what you are trying to talk about.

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#631605

FromRichard Damon <richard@damon-family.org>
Date2024-09-23 07:21 -0400
Message-ID<b74c43a08a7d542a142bd6d492fb07dca5aa51ae@i2pn2.org>
In reply to#631569
On 9/22/24 9:22 AM, WM wrote:
> On 22.09.2024 00:32, Jim Burns wrote:
>> On 9/21/2024 4:11 PM, WM wrote:
> 
>>>> There is no transfinite WWMB ordinal ξ before
>>>> the first transfinite ordinal, WWMB ω
>>>
>>> That may be. But then
>>> there is no complete set of natural numbers
>>> and no ω.
>>
>> WWMB ω is the first transfinite ordinal.
>> Existing or not.existing, WWMB ω isn't
>> anything other than the first transfinite ordinal.
>>
>> As long as it's WWMB ω which you discuss,
>> WWMB ω-1 doesn't exist.
> 
> Then ω does not exist.
> 
> Regards, WM

It only doesn't exist in your too primative logic that can't handle it.

ω-1 doesn't exist, just like in the Natural Numbers 0-1 doesn't exist.

I guess the only numbers you have are the signed integers, where there 
is no first OR last element of the set in numerical order.

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#631573

Fromjoes <noreply@example.org>
Date2024-09-22 14:20 +0000
Message-ID<133978a2741009577a62dd30490f51af7f0515ca@i2pn2.org>
In reply to#631554
Am Sat, 21 Sep 2024 15:47:21 +0200 schrieb WM:
> On 20.09.2024 22:02, Jim Burns wrote:
>> On 9/20/2024 2:27 PM, WM wrote:
> 
>>> And there is no gap before ω.
>> ω-1 requires impossibilities:
>> a gap between ω and (hypothetical) ω-1
> No. A gap is where something could be but is not.
This is too easy. ω is defined such that there is no gap.

-- 
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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#631517

FromRichard Damon <richard@damon-family.org>
Date2024-09-19 23:35 -0400
Message-ID<2c1940845e336c71cf55b737945d3132b1a41e62@i2pn2.org>
In reply to#631500
On 9/19/24 9:02 AM, WM wrote:
> On 19.09.2024 13:44, Richard Damon wrote:
>> On 9/19/24 7:22 AM, WM wrote:
>>> On 19.09.2024 00:50, Richard Damon wrote:
>>>> On 9/18/24 8:33 AM, WM wrote:
>>>>> On 15.09.2024 23:07, joes wrote:
>>>>>> Am Sun, 15 Sep 2024 21:52:30 +0200 schrieb WM:
>>>>>
>>>>>>> No definable points, to be precise. If there is no point next to 
>>>>>>> 0 then
>>>>>>> there is a gap. I do not accept gaps on the real line.
>>>>>> I.e. „neighbouring” points can’t be defined. There are no gaps.
>>>>>
>>>>> So it is.These points are dark.
>>>>
>>>> Nope, they just aren't.
>>>>
>>>> To be distinct points, there must be a gap, so they can not be 
>>>> neighboring,
>>>
>>> There are infinitely many points with no extension filling the space.
>>
>> Right, and none "next" to another, because there is always another in 
>> between them.
> 
> "always another" is potential infinity. I am discussing actual infinity 
> where all are there at once and no "always" is used.

So, then how do you describe that fact that there IS always another.

Sounds like your "Actual Infinity" isn't actually infinte.




>>
>>>
>>>> the space is filled by more points, creating smaller and smaller gaps
>>>
>>> That is potential infinity. In actual infinity all points are there 
>>> at once.
>>
>> No, that is what infinity actually is. There are not two different 
>> "kinds" of it. All the point do exist, and we can express any of them.
> 
> Then you need no "always" but can point directly to the first point next 
> to another.

But there never is such a point unless you don't actually have all of them.



>> The Infinite Set of these values actually exists, and all the values 
>> are in it,
> 
> that includes the first point of the interval and the second and so on.

Which don't exist unless your "infinite" is just too small and is only 
finite.

Sorry, you are just proving you are judt a stupid liar that doesn't 
understand what infinity actually is.

> 
> Regards, WM

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