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Groups > sci.math > #629778 > unrolled thread

Re: Replacement of Cardinality

Started byJim Burns <james.g.burns@att.net>
First post2024-07-27 13:34 -0400
Last post2024-07-29 17:59 +0200
Articles 20 on this page of 924 — 14 participants

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  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-07-27 13:34 -0400
    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-28 12:17 +0000
      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-07-28 14:17 -0400
        Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-28 16:25 -0700
          Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-28 16:32 -0700
            Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-28 16:42 -0700
              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-07-29 08:32 -0400
                Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-29 12:44 -0700
                  Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-29 12:46 -0700
                    Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-01 10:10 -0800
                      Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Jim Burns <james.g.burns@att.net> - 2025-01-01 16:14 -0500
                        Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-01 15:50 -0800
                          Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-01 16:28 -0800
                            Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Jim Burns <james.g.burns@att.net> - 2025-01-02 11:47 -0500
                              Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-02 11:04 -0800
                                Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Jim Burns <james.g.burns@att.net> - 2025-01-02 16:08 -0500
                          Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Jim Burns <james.g.burns@att.net> - 2025-01-02 12:35 -0500
                            Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-02 11:07 -0800
                              Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-02 11:14 -0800
                                Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-03 11:22 -0800
                              Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Jim Burns <james.g.burns@att.net> - 2025-01-02 16:55 -0500
                                Re: Replacement of Cardinality (ubiquitous ordinals, integer continuum, linear continuum, continuity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-02 22:23 -0800
                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-07-29 17:12 -0400
                    Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-29 18:31 -0700
                      Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-29 18:32 -0700
                      Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-07-30 14:18 -0400
                        Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-30 13:56 -0700
                          Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-30 14:06 -0700
                          Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-07-31 16:21 -0400
                            Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-31 17:30 -0700
                              Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-01 07:23 -0400
                                Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-01 12:28 -0700
                                  Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-01 20:36 -0400
                                    Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-01 17:52 -0700
                                      Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-01 23:20 -0400
                                      Re: Replacement of Cardinality (ubiquitous ordinals) FromTheRafters <FTR@nomail.afraid.org> - 2024-08-02 06:39 -0400
                                        Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-02 12:55 -0700
                                          Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-03 15:08 -0400
                                            Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-03 18:08 -0700
                                              Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-03 23:45 -0400
                                                Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-03 20:51 -0700
                                                  Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-04 01:25 -0400
                                                    Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 07:36 -0700
                                                      Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-04 12:48 -0400
                                                        Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 10:44 -0700
                                                          Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-04 14:26 -0400
                                                            Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 11:38 -0700
                                                              Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-04 16:25 -0400
                                      Re: Replacement of Cardinality (ubiquitous ordinals) Jim Burns <james.g.burns@att.net> - 2024-08-02 08:54 -0400
                              Re: Replacement of Cardinality (ubiquitous ordinals) Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-01-01 10:10 -0800
        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-29 13:23 +0000
          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-07-29 14:33 -0400
            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-30 17:30 +0000
              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-07-30 14:37 -0400
                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-07-31 00:49 +0200
                  Re: Replacement of Cardinality --- infinitesimal number system olcott <polcott333@gmail.com> - 2024-07-30 18:46 -0500
                    Re: Replacement of Cardinality --- infinitesimal number system Moebius <invalid@example.invalid> - 2024-07-31 01:54 +0200
                      Re: Replacement of Cardinality --- infinitesimal number system olcott <polcott333@gmail.com> - 2024-07-30 19:11 -0500
                        Re: Replacement of Cardinality --- infinitesimal number system "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-30 17:29 -0700
                        Re: Replacement of Cardinality --- infinitesimal number system Moebius <invalid@example.invalid> - 2024-07-31 03:19 +0200
                          Re: Replacement of Cardinality --- infinitesimal number system olcott <polcott333@gmail.com> - 2024-07-30 20:30 -0500
                            Re: Replacement of Cardinality --- infinitesimal number system Moebius <invalid@example.invalid> - 2024-07-31 03:33 +0200
                    Re: Replacement of Cardinality --- infinitesimal number system FromTheRafters <FTR@nomail.afraid.org> - 2024-07-30 20:22 -0400
                      Re: Replacement of Cardinality --- infinitesimal number system olcott <polcott333@gmail.com> - 2024-07-30 19:29 -0500
                      Re: Replacement of Cardinality --- infinitesimal number system Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-07-30 18:55 -0700
                    Re: Replacement of Cardinality --- infinitesimal number system Jim Burns <james.g.burns@att.net> - 2024-07-31 00:23 -0400
                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-31 14:05 +0000
                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-31 13:59 +0000
                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-07-31 13:33 -0400
                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-01 12:13 +0000
                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-01 14:12 -0400
                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-01 23:21 +0200
                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 15:36 +0000
                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-02 13:06 -0400
                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-02 19:31 +0200
                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-03 14:25 +0000
                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-03 17:42 +0000
                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-04 15:44 +0000
                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-04 13:59 -0400
                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-04 20:12 +0200
                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-03 14:51 -0700
                                  Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-03 17:59 -0400
                                    Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-03 18:14 -0700
                                      Re: Replacement of Cardinality (real-valued) FromTheRafters <FTR@nomail.afraid.org> - 2024-08-04 06:41 -0400
                                        Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 07:52 -0700
                                          Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 07:59 -0700
                                            Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 08:46 -0700
                                              Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 08:54 -0700
                                                Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 09:45 -0700
                                                Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 13:06 -0700
                                              Re: Replacement of Cardinality (real-valued) Jim Burns <james.g.burns@att.net> - 2024-08-07 16:06 -0400
                                                Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-07 18:03 -0700
                                                  Re: Replacement of Cardinality (real-valued) Jim Burns <james.g.burns@att.net> - 2024-08-08 15:00 -0400
                                                    Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-08 12:52 -0700
                                                      Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 20:07 -0700
                                      Re: Replacement of Cardinality (real-valued) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:00 -0800
                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-04 02:09 +0200
                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-04 15:32 +0000
                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-03 14:23 +0000
                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-03 15:54 -0400
                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-04 02:14 +0200
                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-04 02:15 +0200
                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-04 15:35 +0000
                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-04 11:53 -0400
                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-04 17:57 +0200
                                        Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-04 12:55 -0400
                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-04 17:55 +0000
                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-04 16:07 -0700
                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-05 02:24 +0200
                                        Re: Replacement of Cardinality (quantifier disambiguation) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 17:49 -0700
                                          Re: Replacement of Cardinality (quantifier disambiguation) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-04 18:41 -0700
                                            Re: Replacement of Cardinality (quantifier disambiguation) Jim Burns <james.g.burns@att.net> - 2024-08-05 09:01 -0400
                                              Re: Replacement of Cardinality (quantifier disambiguation) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-05 13:11 -0700
                                                Re: Replacement of Cardinality (quantifier disambiguation) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 20:07 -0700
                                            Re: Replacement of Cardinality (quantifier disambiguation) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:01 -0800
                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-04 23:44 -0700
                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-05 10:03 +0200
                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-05 10:12 +0200
                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-05 22:47 +0200
                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-05 23:25 +0200
                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-05 19:21 +0000
                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-05 18:35 -0400
                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-06 01:22 +0200
                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-06 08:35 +0000
                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-06 08:38 -0400
                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-06 13:55 +0000
                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-06 12:33 -0400
                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-07 12:31 +0000
                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-07 14:03 -0400
                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-07 20:15 +0200
                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-07 18:55 +0000
                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-07 17:16 -0400
                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-07 18:51 +0000
                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-07 12:11 -0700
                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-08 00:38 -0400
                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-08 08:00 +0000
                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-07 11:17 -0700
                                              Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-06 22:36 -0400
                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-07 13:05 +0000
                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-07 11:16 -0700
                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-07 20:20 +0200
                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-10 23:13 -0700
                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-07 14:49 -0400
                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-07 19:05 +0000
                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-07 12:12 -0700
                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-07 16:51 -0400
                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-04 15:29 +0000
                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-04 12:39 -0400
                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-04 19:28 +0200
                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-04 18:13 +0000
                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-04 16:16 -0400
                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-04 22:48 +0200
                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-05 19:12 +0000
                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-05 19:17 +0000
                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-05 01:12 +0200
                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-04 19:41 -0400
                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-05 02:03 +0200
                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-05 19:04 +0000
                                          Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-05 20:33 +0000
                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-06 09:03 +0000
                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-05 18:19 -0400
                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-06 03:55 +0200
                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-06 08:48 +0000
                                            Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-05 20:05 -0700
                                              Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Jim Burns <james.g.burns@att.net> - 2024-08-06 07:57 -0400
                                                Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-06 12:58 -0700
                                                  Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Jim Burns <james.g.burns@att.net> - 2024-08-06 20:27 -0400
                                                    Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Moebius <invalid@example.invalid> - 2024-08-07 02:37 +0200
                                                      Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-06 19:30 -0700
                                                        Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 20:07 -0700
                                                          Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Python <python@invalid.org> - 2024-08-13 05:10 +0200
                                                    Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Moebius <invalid@example.invalid> - 2024-08-07 02:38 +0200
                                                      Re: Replacement of Cardinality (defining numbers as half finite, half infinite) Moebius <invalid@example.invalid> - 2024-08-07 02:45 +0200
                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-06 08:26 +0000
                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-06 06:32 -0400
                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-06 13:52 +0000
                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-06 13:44 -0400
                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-07 12:38 +0000
                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-07 13:07 -0400
                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-07 17:47 +0000
                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-07 14:29 -0400
                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-07 19:01 +0000
                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-07 17:29 -0400
                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-07 23:55 +0200
                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-08 00:17 +0200
                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-08 08:05 +0000
                                                                    Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-08 06:30 -0400
                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-08 13:36 -0700
                                                                        Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-08 17:56 -0400
                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-08 15:14 -0700
                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-08 15:21 -0700
                                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 02:07 +0200
                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-10 15:34 -0700
                                                                                  Re: Replacement of Cardinality (integral equations) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-10 16:45 -0700
                                                                                    Re: Replacement of Cardinality (integral equations) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:03 -0800
                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 02:04 +0200
                                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-08 23:34 -0400
                                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-09 06:23 -0400
                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-10 00:36 +0200
                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-10 15:59 +0000
                                                                              Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-10 13:15 -0400
                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-11 12:24 +0000
                                                                                  Re: Replacement of Cardinality (analytische bruecken) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-11 07:18 -0700
                                                                                  Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-11 12:11 -0400
                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-11 12:29 -0700
                                                                                  Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-15 16:17 +0000
                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-16 16:21 +0000
                                                                                      Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-16 12:48 -0400
                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-16 16:57 +0000
                                                                                          Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-16 14:02 -0400
                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-17 13:33 +0000
                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:34 -0700
                                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-10 13:39 -0400
                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-11 00:06 +0200
                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-11 14:09 +0000
                                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-11 13:56 -0400
                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-12 13:47 +0000
                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-12 14:34 -0400
                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-13 14:27 +0000
                                                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-13 12:26 -0400
                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-13 18:35 +0200
                                                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-13 13:42 -0400
                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:28 +0000
                                                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-14 14:04 -0400
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-15 13:55 +0000
                                                                                                      Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-16 12:07 -0400
                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-14 12:01 -0700
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-15 13:57 +0000
                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-15 16:05 -0700
                                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:06 +0200
                                                                                                      Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-16 12:08 -0400
                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:22 -0700
                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:17 +0000
                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:09 +0000
                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:14 +0000
                                                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-14 13:35 -0400
                                                                                              Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-17 11:43 +0000
                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-17 13:42 +0000
                                                                                                  Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-17 10:15 -0400
                                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:40 -0700
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:26 +0000
                                                                                                      Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-19 07:36 -0400
                                                                                                  Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-18 08:16 +0000
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:54 +0000
                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-19 13:12 -0700
                                                                                                      Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-19 21:43 -0400
                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:21 -0700
                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-13 22:16 +0200
                                                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-13 17:02 -0400
                                                                                            Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-13 17:54 -0400
                                                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-14 00:09 +0200
                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-14 12:04 -0700
                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 01:26 +0200
                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 01:28 +0200
                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-10 15:40 -0700
                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-11 00:47 +0200
                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-10 15:52 -0700
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-11 01:00 +0200
                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-11 01:03 +0200
                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:24 -0700
                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:25 -0700
                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-13 22:29 +0200
                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-14 12:02 -0700
                                                                                    Re: Replacement of Cardinality --- silliness olcott <polcott333@gmail.com> - 2024-08-10 18:12 -0500
                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-11 00:50 +0200
                                                                              Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-12 13:27 +0000
                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-12 14:07 +0000
                                                                                  Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-12 16:20 +0200
                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-13 14:15 +0000
                                                                                      Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-13 12:06 -0400
                                                                                  Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-12 22:34 +0000
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-13 00:39 +0200
                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-10 21:59 +0200
                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 01:59 +0200
                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 02:09 +0200
                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 02:27 +0200
                                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-09 06:21 -0400
                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-09 17:37 -0700
                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-09 17:29 -0700
                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-10 02:42 +0200
                                                                      Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-08 17:26 -0700
                                                                        Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-09 00:01 -0400
                                                                          Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-10 00:31 +0200
                                                                        Re: Replacement of Cardinality (infinite middle) FromTheRafters <FTR@nomail.afraid.org> - 2024-08-09 06:25 -0400
                                                                          Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-09 12:17 -0700
                                                                            Re: Replacement of Cardinality (infinite middle) FromTheRafters <FTR@nomail.afraid.org> - 2024-08-09 18:22 -0400
                                                                              Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-09 16:25 -0700
                                                                            Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-10 14:02 -0400
                                                                              Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-10 21:46 +0200
                                                                                Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-10 17:22 -0400
                                                                                  Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-10 23:24 +0200
                                                                                    Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-10 23:33 +0200
                                                                                      Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-10 23:44 +0200
                                                                              Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-10 12:48 -0700
                                                                                Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-10 18:14 -0400
                                                                        Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-10 15:32 -0700
                                                                          Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-11 00:43 +0200
                                                                            Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-10 15:47 -0700
                                                                              Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-11 00:54 +0200
                                                                              Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-11 01:05 +0200
                                                                                Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-10 17:55 -0700
                                                                                  Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-11 03:19 +0200
                                                                                    Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-10 21:20 -0700
                                                                                      Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-11 18:10 +0200
                                                                                        Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-11 11:10 -0700
                                                                                          Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-11 17:38 -0400
                                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-11 16:39 -0700
                                                                                              Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-12 00:44 -0400
                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 13:59 -0700
                                                                                                  Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 14:27 -0700
                                                                                                  Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-12 19:06 -0400
                                                                                                    Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-13 01:11 +0200
                                                                                                    Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 17:28 -0700
                                                                                                      Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-13 02:44 +0200
                                                                                                        Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-13 02:59 +0200
                                                                                                          Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-13 03:03 +0200
                                                                                                          Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-13 05:00 +0200
                                                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 20:02 -0700
                                                                                                              Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-13 05:06 +0200
                                                                                                              Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-12 21:30 -0700
                                                                                                                Re: Replacement of Cardinality (infinite middle) FromTheRafters <FTR@nomail.afraid.org> - 2024-08-13 06:35 -0400
                                                                                                                  Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:29 -0700
                                                                                                                    Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-13 17:33 -0700
                                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-13 12:19 -0700
                                                                                                        Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 18:06 -0700
                                                                                                          Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-13 03:09 +0200
                                                                                                          Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 18:16 -0700
                                                                                                            Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-13 03:24 +0200
                                                                                                            Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-13 04:47 +0200
                                                                                                              Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-12 19:50 -0700
                                                                                                                Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-13 04:53 +0200
                                                                                                      Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-13 00:25 -0400
                                                                                                        Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-13 18:03 -0700
                                                                                                          Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-13 23:37 -0400
                                                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-16 19:28 -0700
                                                                                                              Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-16 20:57 -0700
                                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-16 21:11 -0700
                                                                                                              Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-17 17:12 -0400
                                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-18 07:17 -0700
                                                                                                                  Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-18 13:50 -0400
                                                                                                                    Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-18 14:22 -0700
                                                                                                                      Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-19 00:56 -0400
                                                                                                                        Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-19 12:27 -0700
                                                                                                                          Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-19 17:43 -0400
                                                                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-19 15:02 -0700
                                                                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-19 15:21 -0700
                                                                                                                              Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-20 00:25 +0200
                                                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-19 16:01 -0700
                                                                                                                              Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-19 19:18 -0400
                                                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-19 17:08 -0700
                                                                                                                                  Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-19 20:33 -0400
                                                                                                                                    Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-19 19:40 -0700
                                                                                                                                      Re: Replacement of Cardinality (infinite middle) Python <python@invalid.org> - 2024-08-20 08:19 +0200
                                                                                                                                        Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-20 12:36 -0700
                                                                                                                                    Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-24 08:18 -0700
                                                                                                                          Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-29 15:46 -0700
                                                                                                                            Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-29 19:32 -0400
                                                                                                                              Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-29 17:12 -0700
                                                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-29 17:28 -0700
                                                                                                                                  Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-30 01:24 -0400
                                                                                                                                    Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-30 13:00 -0700
                                                                                                                                      Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-30 17:41 -0400
                                                                                                                                        Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-01 11:44 -0700
                                                                                                                                          Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-01 12:46 -0700
                                                                                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:10 -0800
                                                                                                                                          Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-09-02 17:46 -0400
                                                                                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-02 17:25 -0700
                                                                                                                                              Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-09-03 14:39 -0400
                                                                                                                                              Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-09-03 15:28 -0400
                                                                                                                                              Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-09-03 16:50 -0400
                                                                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-05 12:57 -0700
                                                                                                                                                  Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-05 13:14 -0700
                                                                                                                                                    Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-09-06 15:40 -0400
                                                                                                                                                      Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-06 13:36 -0700
                                                                                                                                                        Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:12 -0800
                                                                                                                                                    Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:11 -0800
                                                                                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-02 19:47 -0700
                                                                                                                                              Re: Replacement of Cardinality (infinite middle) Mild Shock <janburse@fastmail.fm> - 2024-09-07 10:14 +0200
                                                                                                                                      Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:09 -0800
                                                                                                                                Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:08 -0800
                                                                                            Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-12 02:08 +0200
                                                                                        Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-11 12:29 -0700
                                                                                          Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-11 22:21 +0200
                                                                                Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-11 14:30 -0400
                                                                                  Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-11 11:39 -0700
                                                                                    Re: Replacement of Cardinality (infinite middle) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-11 12:30 -0700
                                                                                      Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-11 13:26 -0700
                                                                                        Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-11 13:40 -0700
                                                                                    Re: Replacement of Cardinality (infinite middle) Jim Burns <james.g.burns@att.net> - 2024-08-12 12:39 -0400
                                                                                      Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-12 19:22 +0200
                                                                                        Re: Replacement of Cardinality (infinite middle) Jeff Barnett <jbb@notatt.com> - 2024-08-12 12:37 -0600
                                                                                          Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-12 20:48 +0200
                                                                                            Re: Replacement of Cardinality (infinite middle) Jeff Barnett <jbb@notatt.com> - 2024-08-12 18:16 -0600
                                                                          Re: Replacement of Cardinality (infinite middle) Moebius <invalid@example.invalid> - 2024-08-11 01:37 +0200
                                                                            Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-10 16:51 -0700
                                                                              Re: Replacement of Cardinality (infinite middle) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:03 -0800
                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-10 15:26 +0000
                                                                        Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-15 16:16 +0000
                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-08 08:20 +0000
                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-08 12:58 -0400
                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-08 13:44 -0700
                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 02:01 +0200
                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-08 13:13 -0400
                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 02:14 +0200
                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-08 20:32 -0400
                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 03:10 +0200
                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-09 03:12 +0200
                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-10 15:54 +0000
                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-10 13:28 -0400
                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-11 12:29 +0000
                                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-11 13:56 -0400
                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-12 13:50 +0000
                                                                              Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-12 13:23 -0400
                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-13 14:17 +0000
                                                                                  Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-13 12:07 -0400
                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:13 -0700
                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:17 -0700
                                                                                        Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-13 17:11 -0400
                                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-13 14:34 -0400
                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-13 14:39 -0400
                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:34 +0000
                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-14 16:04 -0400
                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-15 13:59 +0000
                                                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-15 15:28 -0400
                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 21:37 +0200
                                                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 23:25 +0200
                                                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-15 18:51 -0400
                                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 00:59 +0200
                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-15 16:35 -0700
                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:39 +0200
                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:52 +0200
                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:53 +0200
                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 02:03 +0200
                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-15 17:22 -0700
                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-15 17:50 -0700
                                                                                                    Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-16 06:08 -0400
                                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:11 +0200
                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:32 +0200
                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:36 +0200
                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-15 16:37 -0700
                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:57 +0200
                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:57 +0200
                                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:16 +0200
                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:24 +0200
                                                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-16 01:05 -0400
                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 07:50 +0200
                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 07:57 +0200
                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-15 23:48 -0700
                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 09:22 +0200
                                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-16 07:45 -0400
                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 00:55 +0200
                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:10 -0700
                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:15 -0700
                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:48 +0000
                                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-12 13:44 -0400
                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-12 20:24 +0200
                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-12 20:47 +0200
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-12 20:55 +0200
                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-13 14:25 +0000
                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-13 14:21 +0000
                                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-13 13:02 -0400
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-13 19:32 +0200
                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:19 -0700
                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:26 +0000
                                                                                        Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-14 13:43 +0000
                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-14 18:35 +0200
                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-15 13:49 +0000
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-13 19:47 +0200
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-13 19:51 +0200
                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:32 +0000
                                                                                        Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-17 11:43 +0000
                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-17 13:46 +0000
                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-13 12:18 -0700
                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-14 12:23 +0000
                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-14 12:43 -0400
                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 01:04 +0200
                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-15 13:52 +0000
                                                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-15 12:16 -0400
                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-16 16:19 +0000
                                                                                              Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-16 16:50 +0000
                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-16 17:00 +0000
                                                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-16 13:54 -0400
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-17 13:30 +0000
                                                                                                      Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-17 10:17 -0400
                                                                                                        Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-17 11:56 -0400
                                                                                                          Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-17 12:21 -0400
                                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:43 -0700
                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:43 -0700
                                                                                                  Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-16 18:11 +0000
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-17 13:39 +0000
                                                                                                      Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-18 08:16 +0000
                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-18 11:52 -0700
                                                                                                          Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-18 14:15 -0700
                                                                                                            Re: Replacement of Cardinality (selective memory) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-18 17:42 -0700
                                                                                                              Re: Replacement of Cardinality (selective memory) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:04 -0800
                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-19 13:13 -0700
                                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-19 13:17 -0700
                                                                                                              Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-19 16:55 -0400
                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-20 12:35 -0700
                                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-20 15:36 -0700
                                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-21 07:15 +0200
                                                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-23 12:13 -0700
                                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-23 23:16 +0200
                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:51 +0000
                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-16 11:44 -0700
                                                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-16 13:39 -0400
                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-17 13:28 +0000
                                                                                                  Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-17 10:29 -0400
                                                                                                    Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-17 17:02 +0200
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:32 +0000
                                                                                                      Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-19 20:40 -0400
                                                                                                        Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-20 06:31 -0400
                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:21 +0000
                                                                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-20 17:25 -0400
                                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-20 15:19 -0700
                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 10:44 +0000
                                                                                                                Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-21 06:58 -0400
                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 12:24 +0000
                                                                                                                    Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-21 13:13 +0000
                                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-21 15:51 +0200
                                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 14:53 +0000
                                                                                                                          Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-21 12:21 -0400
                                                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 10:55 +0000
                                                                                                                              Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-22 13:37 +0000
                                                                                                                              Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-22 10:15 -0400
                                                                                                                          Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-21 18:15 +0000
                                                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-21 20:34 +0200
                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 12:16 +0000
                                                                                                                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-22 13:40 +0000
                                                                                                                                Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-23 18:04 -0400
                                                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-24 02:05 +0200
                                                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-24 02:08 +0200
                                                                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-24 00:30 -0400
                                                                                                                                      Re: Replacement of Cardinality (roots of zero, reciprocals of the multiplicative annihilator) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-24 07:57 -0700
                                                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 00:04 +0200
                                                                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 03:05 +0200
                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 03:09 +0200
                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-24 14:11 +0000
                                                                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-25 06:21 -0400
                                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-25 19:35 +0000
                                                                                                                                        Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-25 17:18 -0400
                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 02:15 +0200
                                                                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 02:34 +0200
                                                                                                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 02:43 +0200
                                                                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-27 19:36 +0000
                                                                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-27 13:07 -0700
                                                                                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-27 22:08 +0200
                                                                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-27 22:10 +0200
                                                                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 12:45 +0000
                                                                                                                                                  Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-28 10:00 -0400
                                                                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:34 +0000
                                                                                                                                                      Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-29 12:05 -0400
                                                                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-29 12:02 -0700
                                                                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 12:48 +0000
                                                                                                                                                          Re: Grey numbers (was: Replacement of Cardinality) joes <noreply@example.org> - 2024-08-30 14:35 +0000
                                                                                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:36 -0700
                                                                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-29 11:59 -0700
                                                                                                                                                        Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-29 15:47 -0400
                                                                                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-29 17:06 -0400
                                                                                                                                                      Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-30 07:21 +0000
                                                                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 13:01 +0000
                                                                                                                                                          Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-30 09:20 -0400
                                                                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:40 -0700
                                                                                                                                              Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-27 23:17 -0400
                                                                                                                                              Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-28 04:20 +0000
                                                                                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-28 14:51 +0200
                                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-27 19:26 +0000
                                                                                                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-27 19:06 -0400
                                                                                                                                              Re: Replacement of Cardinality (book-keeping sign) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-27 16:41 -0700
                                                                                                                                                Re: Replacement of Cardinality (book-keeping sign) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-27 16:53 -0700
                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 12:49 +0000
                                                                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-27 23:18 -0400
                                                                                                                                            Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-28 04:23 +0000
                                                                                                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-28 15:05 +0200
                                                                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 13:16 +0000
                                                                                                                                                  Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-28 10:07 -0400
                                                                                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-28 15:17 +0200
                                                                                                                                        Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-26 16:19 +0000
                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 18:21 +0200
                                                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 16:08 +0200
                                                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 16:23 +0200
                                                                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-26 14:17 -0400
                                                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 20:58 +0200
                                                                                                                                        Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-26 15:06 -0400
                                                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 11:09 +0000
                                                                                                                              Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-22 13:39 +0000
                                                                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-22 17:59 +0200
                                                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-22 13:22 -0700
                                                                                                                              Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-22 10:19 -0400
                                                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-23 14:27 +0000
                                                                                                                                  Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-23 18:06 +0000
                                                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-24 14:21 +0000
                                                                                                                                      Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-24 14:45 +0000
                                                                                                                                      Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-24 14:08 -0400
                                                                                                                                        Re: Replacement of Cardinality (effective bounds) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-24 13:50 -0700
                                                                                                                                          Re: Replacement of Cardinality (effective bounds) Jim Burns <james.g.burns@att.net> - 2024-08-24 18:39 -0400
                                                                                                                                            Re: Replacement of Cardinality (effective bounds) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-24 17:26 -0700
                                                                                                                                              Re: Replacement of Cardinality (effective bounds) Jim Burns <james.g.burns@att.net> - 2024-08-25 13:47 -0400
                                                                                                                                                Re: Replacement of Cardinality (effective bounds) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-25 13:31 -0700
                                                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-25 19:41 +0000
                                                                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-25 12:55 -0700
                                                                                                                                          Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-25 16:11 -0400
                                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-21 12:32 -0700
                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 14:58 +0000
                                                                                                                        Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-21 18:14 +0000
                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 11:07 +0000
                                                                                                                            Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-22 17:24 +0000
                                                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-22 13:31 -0700
                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-23 14:32 +0000
                                                                                                                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-23 18:08 +0000
                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-24 14:20 +0000
                                                                                                                                Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-23 14:42 -0400
                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-24 14:15 +0000
                                                                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-24 16:16 -0400
                                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-25 19:41 +0000
                                                                                                                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-25 17:18 -0400
                                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-27 19:20 +0000
                                                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-27 12:34 -0700
                                                                                                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-27 22:01 +0200
                                                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-27 13:14 -0700
                                                                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-27 22:27 +0200
                                                                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 12:47 +0000
                                                                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-27 13:09 -0700
                                                                                                                                              Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-27 19:07 -0400
                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 12:51 +0000
                                                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-28 12:23 -0700
                                                                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-28 12:28 -0700
                                                                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-28 22:38 +0200
                                                                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:23 +0000
                                                                                                                                                      Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-29 12:09 -0400
                                                                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-27 23:24 -0400
                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 13:01 +0000
                                                                                                                                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-29 10:46 +0000
                                                                                                                                                  Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-29 07:00 -0400
                                                                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:15 +0000
                                                                                                                                                      Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-29 15:38 +0000
                                                                                                                                                      Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-29 12:15 -0400
                                                                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 12:51 +0000
                                                                                                                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-30 13:18 -0400
                                                                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-29 11:53 -0700
                                                                                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-29 21:42 +0200
                                                                                                                                                          Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-29 15:52 -0400
                                                                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-29 13:08 -0700
                                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:16 +0000
                                                                                                                                            Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-28 04:22 +0000
                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 13:07 +0000
                                                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-28 12:32 -0700
                                                                                                                                        Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-25 17:57 -0400
                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-26 00:20 +0200
                                                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-23 00:14 -0400
                                                                                                                    Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-21 12:20 -0400
                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 10:54 +0000
                                                                                                                        Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-22 13:36 +0000
                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-22 17:58 +0200
                                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-22 13:29 -0700
                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-23 14:24 +0000
                                                                                                                        Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-22 10:22 -0400
                                                                                                                          Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-22 12:49 -0700
                                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-22 13:30 -0700
                                                                                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-22 17:19 -0400
                                                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-22 13:28 -0700
                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-23 14:28 +0000
                                                                                                                            Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-23 16:32 +0200
                                                                                                                            Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-23 14:13 -0400
                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-24 14:17 +0000
                                                                                                                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-24 14:43 +0000
                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-24 15:24 +0000
                                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-24 13:06 -0400
                                                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-24 13:06 -0400
                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-25 19:47 +0000
                                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-25 17:28 -0400
                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-27 19:29 +0000
                                                                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-27 12:34 -0700
                                                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-27 22:03 +0200
                                                                                                                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-27 22:08 -0400
                                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 12:55 +0000
                                                                                                                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-28 19:48 -0400
                                                                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-28 16:59 -0700
                                                                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-28 13:15 -0400
                                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:38 +0000
                                                                                                                                        Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-29 13:56 -0400
                                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 12:53 +0000
                                                                                                                                            Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-30 11:44 -0400
                                                                                                                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-26 16:16 +0000
                                                                                                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-22 21:23 -0400
                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-23 14:49 +0000
                                                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-24 13:06 -0400
                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-25 19:45 +0000
                                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-25 17:31 -0400
                                                                                                                                Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-26 20:06 -0400
                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-27 19:11 +0000
                                                                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-27 12:22 -0700
                                                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-27 21:31 +0200
                                                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-27 19:57 +0000
                                                                                                                                          Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-27 22:16 -0400
                                                                                                                                          Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-28 04:20 +0000
                                                                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-28 14:47 +0200
                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 13:11 +0000
                                                                                                                                                Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-28 10:10 -0400
                                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:35 +0000
                                                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-28 12:10 -0700
                                                                                                                                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-29 10:48 +0000
                                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:13 +0000
                                                                                                                                                    Re: Replacement of Cardinality Richard Hachel <r.hachel@wanadou.fr> - 2024-08-29 13:23 +0000
                                                                                                                                                    Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-29 15:42 +0000
                                                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 12:46 +0000
                                                                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 13:04 +0000
                                                                                                                                              Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-28 15:06 +0000
                                                                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:37 +0000
                                                                                                                                                  Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-30 07:21 +0000
                                                                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-30 12:13 +0200
                                                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 12:59 +0000
                                                                                                                                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-30 09:23 -0400
                                                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 15:29 +0000
                                                                                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-30 11:47 -0400
                                                                                                                                                        Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-30 15:17 +0000
                                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-30 18:35 +0200
                                                                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:34 -0700
                                                                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:39 -0700
                                                                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 13:02 +0000
                                                                                                                                                      Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-30 09:26 -0400
                                                                                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-30 13:31 -0400
                                                                                                                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-27 22:13 -0400
                                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 12:57 +0000
                                                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-28 12:06 -0700
                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-28 22:35 +0200
                                                                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:26 +0000
                                                                                                                                              Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-29 21:09 -0400
                                                                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 13:06 +0000
                                                                                                                                                  Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-30 09:28 -0400
                                                                                                                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-28 19:48 -0400
                                                                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-28 17:02 -0700
                                                                                                                                            Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-28 18:49 -0700
                                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-29 13:27 +0000
                                                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-29 11:51 -0700
                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 12:55 +0000
                                                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-30 09:01 -0400
                                                                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:20 -0700
                                                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:18 -0700
                                                                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:22 -0700
                                                                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-09-01 01:26 +0200
                                                                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-31 19:56 -0700
                                                                                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-09-01 05:25 +0200
                                                                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-09-01 01:19 +0200
                                                                                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-31 19:54 -0700
                                                                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-09-01 05:21 +0200
                                                                                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-09-01 05:27 +0200
                                                                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-01 12:09 -0700
                                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-09-01 21:18 +0200
                                                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 18:56 +0200
                                                                                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-09-02 13:13 -0400
                                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 13:19 +0200
                                                                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-09-03 07:26 -0400
                                                                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 13:29 +0200
                                                                                                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-03 13:00 -0700
                                                                                                                                                                    Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-09-03 17:11 -0400
                                                                                                                                                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-09-03 22:47 -0400
                                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 13:31 +0200
                                                                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-09-03 22:55 -0400
                                                                                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-04 14:07 -0700
                                                                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-02 11:47 -0700
                                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 13:27 +0200
                                                                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-03 12:57 -0700
                                                                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-09-03 23:04 -0400
                                                                                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-04 14:09 -0700
                                                                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-29 21:09 -0400
                                                                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-30 13:08 +0000
                                                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-30 09:32 -0400
                                                                                                                                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-30 15:15 +0000
                                                                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-30 18:34 +0200
                                                                                                                                                Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-30 12:09 -0400
                                                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:23 -0700
                                                                                                                                      Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-28 12:06 -0700
                                                                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-28 02:13 -0400
                                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 13:25 +0000
                                                                                                                                        Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-28 15:30 +0200
                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-28 20:18 +0200
                                                                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-28 20:18 +0200
                                                                                                                                        Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-28 12:55 -0400
                                                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-28 17:12 +0000
                                                                                                                                            Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-28 14:41 -0400
                                                                                                                                      Re: Replacement of Cardinality Jeff Barnett <jbb@notatt.com> - 2024-08-28 13:04 -0600
                                                                                                                                        Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-28 16:10 -0400
                                                                                                                                          Re: Replacement of Cardinality Jeff Barnett <jbb@notatt.com> - 2024-08-28 20:36 -0600
                                                                                                                                            Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-29 16:09 -0400
                                                                                                                                              Re: Replacement of Cardinality Jeff Barnett <jbb@notatt.com> - 2024-08-29 22:20 -0600
                                                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-30 12:28 -0700
                                                                                                                                                  Re: Replacement of Cardinality Jeff Barnett <jbb@notatt.com> - 2024-08-30 13:45 -0600
                                                                                                                                                    Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-30 13:23 -0700
                                                                                                                                                Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-31 14:20 -0400
                                                                                                                                                  Re: Replacement of Cardinality Jeff Barnett <jbb@notatt.com> - 2024-08-31 12:44 -0600
                                                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-21 12:32 -0700
                                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-29 15:21 -0700
                                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-21 07:32 -0400
                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 12:32 +0000
                                                                                                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-21 20:10 -0400
                                                                                                                      Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-21 18:23 -0700
                                                                                                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-21 21:49 -0400
                                                                                                                          Re: Replacement of Cardinality Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-21 19:15 -0700
                                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-22 12:17 -0700
                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 12:19 +0000
                                                                                                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-22 21:23 -0400
                                                                                                                          Re: Replacement of Cardinality (natural infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-22 19:04 -0700
                                                                                                                            Re: Replacement of Cardinality (natural infinity) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-22 23:53 -0700
                                                                                                                              Re: Replacement of Cardinality (natural infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-23 15:02 -0700
                                                                                                                                Re: Replacement of Cardinality (natural infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-08-24 08:07 -0700
                                                                                                                                  Re: Replacement of Cardinality (natural infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:06 -0800
                                                                                                                            Re: Replacement of Cardinality (natural infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-12-29 18:05 -0800
                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:19 +0000
                                                                                                          Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-20 15:21 +0200
                                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:25 +0000
                                                                                                              Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-20 15:28 +0200
                                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:39 +0000
                                                                                                                  Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-20 15:41 +0200
                                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:58 +0000
                                                                                                                      Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-20 16:04 +0200
                                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 10:39 +0000
                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-20 12:33 -0700
                                                                                                          Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-20 22:02 -0400
                                                                                                      Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-22 07:35 +0000
                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 12:26 +0000
                                                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-17 17:39 -0400
                                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-18 03:51 +0200
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:40 +0000
                                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-19 12:58 -0400
                                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-19 19:17 +0200
                                                                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-19 14:12 -0400
                                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-19 21:43 +0200
                                                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:07 +0000
                                                                                                              Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-20 16:05 -0400
                                                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-21 02:16 +0200
                                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 10:47 +0000
                                                                                                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-21 07:26 -0400
                                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 12:29 +0000
                                                                                                                Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-21 10:43 +0000
                                                                                                                  Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-21 07:31 -0400
                                                                                                                  Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-21 14:20 -0400
                                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 11:17 +0000
                                                                                                                      Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-22 13:28 +0200
                                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-22 12:27 +0000
                                                                                                                          Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-22 14:48 +0200
                                                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-22 14:38 -0400
                                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-19 13:20 -0700
                                                                                                            Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-19 13:22 -0700
                                                                                                              Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-19 17:12 -0400
                                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-20 15:42 -0700
                                                                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-19 17:05 -0400
                                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:00 +0000
                                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 12:53 +0000
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 14:43 +0200
                                                                                      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-15 11:53 -0400
                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 18:38 +0200
                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 18:43 +0200
                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 18:44 +0200
                                                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-15 14:36 -0400
                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 23:34 +0200
                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 23:35 +0200
                                                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 23:36 +0200
                                                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 23:43 +0200
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 18:57 +0200
                                                                                    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 19:01 +0200
                                                                                      Re: Replacement of Cardinality Python <python@invalid.org> - 2024-08-15 19:06 +0200
                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 19:35 +0200
                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-15 15:59 -0700
                                                                                          Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 01:04 +0200
                                                                                        Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-16 16:42 +0000
                                                                                          Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-16 12:57 -0400
                                                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-16 11:39 -0700
                                                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-16 17:56 -0400
                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:33 -0700
                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 19:31 +0200
                                                                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 19:34 +0200
                                                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-15 19:41 +0200
                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-16 16:45 +0000
                                                                                        Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-16 16:49 +0000
                                                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-16 16:59 +0000
                                                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-16 14:03 -0400
                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-16 11:43 -0700
                                                                                            Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-16 14:10 -0400
                                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-16 11:44 -0700
                                                                                                Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-16 15:04 -0400
                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:35 -0700
                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-17 13:36 +0000
                                                                                                Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-17 17:44 -0400
                                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-18 04:01 +0200
                                                                                                    Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:46 +0000
                                                                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-19 13:11 -0700
                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:44 +0000
                                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-19 15:06 -0400
                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:10 +0000
                                                                                            Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-16 18:11 +0000
                                                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-16 22:12 +0200
                                                                                              Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-16 16:38 -0400
                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:37 -0700
                                                                                              Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-16 18:05 -0400
                                                                                                Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:38 -0700
                                                                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-17 13:37 +0000
                                                                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-17 10:22 -0400
                                                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-17 12:39 -0700
                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:29 +0000
                                                                                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-19 07:34 -0400
                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:59 +0000
                                                                                                        Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-19 13:09 -0700
                                                                                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-18 09:30 +0000
                                                                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-19 11:57 +0000
                                                                                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-19 15:33 -0400
                                                                                                    Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-19 13:10 -0700
                                                                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-20 13:14 +0000
                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-12 13:54 -0700
                                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-12 13:54 -0700
                                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-12 23:38 +0200
                                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-12 23:43 +0200
                                                                          Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-15 16:18 +0000
                                                                            Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-16 16:22 +0000
        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-07-29 19:16 +0200
    Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-07-29 02:04 +0200
      Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-07-29 05:28 -0400
      Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-07-29 05:29 -0400
      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-29 13:25 +0000
        Re: Replacement of Cardinality Tom Bola <Tom@bolamail.etc> - 2024-07-29 15:40 +0200
          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-29 13:43 +0000
            Re: Replacement of Cardinality Tom Bola <Tom@bolamail.etc> - 2024-07-29 16:05 +0200
        Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-07-29 11:52 -0400
          Re: Replacement of Cardinality Tom Bola <Tom@bolamail.etc> - 2024-07-29 17:59 +0200

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#630007

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-05 19:21 +0000
Message-ID<YRqt2RTE0zSHQN0l_bDKeY-9QkM@jntp>
In reply to#629991
Le 05/08/2024 à 02:24, Moebius a écrit :

>           ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x   (false) .

 ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true.

Regards, WM

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#630015

FromJim Burns <james.g.burns@att.net>
Date2024-08-05 18:35 -0400
Message-ID<4e68c0fa-a068-487e-bbba-8f908051c99d@att.net>
In reply to#630007
On 8/5/2024 3:21 PM, WM wrote:
> Le 05/08/2024 à 02:24, Moebius a écrit :

>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x   (false) .
>
> ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true.

¬∃u ∈ ⅟ℕ: ∀x > 0: u < x

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#630016

FromMoebius <invalid@example.invalid>
Date2024-08-06 01:22 +0200
Message-ID<v8rmrv$15hmu$1@dont-email.me>
In reply to#630015
Am 06.08.2024 um 00:35 schrieb Jim Burns:
> On 8/5/2024 3:21 PM, WM wrote:
>> Le 05/08/2024 à 02:24, Moebius a écrit :
> 
>>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x   (false) .
>>
>> ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true.

Nonsense. Mückenheim, Du bist selbst zum Scheißen zu blöde.

Actually,

> ¬∃u ∈ ⅟ℕ: ∀x > 0: u < x

Something's very wrong with Mückenheim.

Even this idiot should understand that there can't be an u in ⅟ℕ c IR+ 
such that for all x e IR, x > 0: x < u. After all, this would imply the 
existence of an u0 in ⅟ℕ such that u0 < u0.

Btw. like your simplified notation. Improves readability, imho. :-P

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#630024

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-06 08:35 +0000
Message-ID<1LaR3C3TkRhtYie7FCrVnCkvrrY@jntp>
In reply to#630015
Le 06/08/2024 à 00:35, Jim Burns a écrit :
> On 8/5/2024 3:21 PM, WM wrote:
>> Le 05/08/2024 à 02:24, Moebius a écrit :
> 
>>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x   (false) .
>>
>> ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true.
> 
> ¬∃u ∈ ⅟ℕ: ∀x > 0: u < x

Right. But with NUF(x) = 1 ==> INVNUF(1) = x we get

∃u ∈ ⅟ℕ, u < x, ∀y > x = INVNUF(1).

Regards, WM

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#630031

FromJim Burns <james.g.burns@att.net>
Date2024-08-06 08:38 -0400
Message-ID<09a225c0-20ef-45b4-a468-3f5d88cc6671@att.net>
In reply to#630024
On 8/6/2024 4:35 AM, WM wrote:
> Le 06/08/2024 à 00:35, Jim Burns a écrit :
>> On 8/5/2024 3:21 PM, WM wrote:
>>> Le 05/08/2024 à 02:24, Moebius a écrit :

>>>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x   (false) .
>>>
>>> ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true.
>>
>> ¬∃u ∈ ⅟ℕ: ∀x > 0: u < x
>
> Right. But with
> NUF(x) = 1 ==> INVNUF(1) = x
> we get
>
> ∃u ∈ ⅟ℕ, u < x, ∀y > x = INVNUF(1).

material conditional ⇒ means
  p q p⇒q ¬p∨q
  T T  T    T
  f T  T    T
  T f  f    f
  f f  T    T

NUF(x) = 1  ⇒  INVNUF(1) = x
means
NUF(x) ≠ 1  ∨  INVNUF(1) = x

Because
NUF(x) ≠ 1
is true everywhere
NUF(x) = 1  ⇒  INVNUF(1) = x
is true everywhere
However,
its truth doesn't imply INVNUF(1) exists.

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#630034

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-06 13:55 +0000
Message-ID<qciPgvbc9SEVjnSIFT863XWfNcw@jntp>
In reply to#630031
Le 06/08/2024 à 14:38, Jim Burns a écrit :
> On 8/6/2024 4:35 AM, WM wrote:

> NUF(x) ≠ 1
> is true everywhere
> NUF(x) = 1  ⇒  INVNUF(1) = x
> is true everywhere
> However,
> its truth doesn't imply INVNUF(1) exists.

∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its existence.

Regards, WM

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#630039

FromJim Burns <james.g.burns@att.net>
Date2024-08-06 12:33 -0400
Message-ID<1c55ae2d-09e3-4eb0-b5f1-c64e82fcdcea@att.net>
In reply to#630034
On 8/6/2024 9:55 AM, WM wrote:
> Le 06/08/2024 à 14:38, Jim Burns a écrit :

>> NUF(x) ≠ 1
>> is true everywhere
>> NUF(x) = 1  ⇒  INVNUF(1) = x
>> is true everywhere
>> However,
>> its truth doesn't imply INVNUF(1) exists.
>
> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
> implies its existence.

No.
∀n ∈ ℕ: 1/n - 1/(n+1) > 0
implies its NONexistence.

| Assume x₁ exists: NUF(x₁) = 1
| ⅟n is the one unit.fraction in (0,x₁)
| 0 < ⅟n < x₁
|
| However,
| ∀n ∈ ℕ: ⅟n - ⅟(n+1) > 0
| 0 < ⅟(n+1) < ⅟n < x₁
| NUF(x₁) > 1
| Contradiction.

Therefore,
there is no x₁: NUF(x₁) = 1
∀ᴿx: NUF(x) ≠ 1

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#630065

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-07 12:31 +0000
Message-ID<pyUmzd7NFcFVf13MskVz5J6ZFWM@jntp>
In reply to#630039
Le 06/08/2024 à 18:33, Jim Burns a écrit :
> On 8/6/2024 9:55 AM, WM wrote:

>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>> implies its existence.
> 
> No.
> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
> implies its NONexistence.

Do you agree that all unit fractions with no exception have gaps on the 
real line?

Regards, WM

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#630070

FromJim Burns <james.g.burns@att.net>
Date2024-08-07 14:03 -0400
Message-ID<dc6ab75f-e7fd-4e39-83a7-2a04c4155d21@att.net>
In reply to#630065
On 8/7/2024 8:31 AM, WM wrote:
> Le 06/08/2024 à 18:33, Jim Burns a écrit :
>> On 8/6/2024 9:55 AM, WM wrote:
>>> Le 06/08/2024 à 14:38, Jim Burns a écrit :

>>>> NUF(x) ≠ 1
>>>> is true everywhere
>>>> NUF(x) = 1  ⇒  INVNUF(1) = x
>>>> is true everywhere
>>>> However,
>>>> its truth doesn't imply INVNUF(1) exists.
>>>
>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>>> implies its existence.
>>
>> No.
>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>> implies its NONexistence.
>
> Do you agree that
> all unit fractions with no exception
> have gaps on the real line?

Each unit fraction ⅟n has,
for n ≠ 1, a gap between ⅟n and ⅟(n-1)
a gap between ⅟n and ⅟(n+1)  and
a gap between ⅟(n+1) and ⅟(n+2)
thus
NUF(⅟n) > 1
⅟n ≠ INNUF(1)

Each unit fraction ⅟n ≠ INVNUF(1)


Finite doesn't need to be small.
Finite can be big compared to Avogadroᴬᵛᵒᵍᵃᵈʳᵒ
and, if it shares finiteness.properties with 1
and with Avogadroᴬᵛᵒᵍᵃᵈʳᵒ, it is finite.

Infinite is beyond all finites, even big.finites.
Infinite does not have finiteness.properties.


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#630071

FromMoebius <invalid@example.invalid>
Date2024-08-07 20:15 +0200
Message-ID<v90dk4$38nhr$1@dont-email.me>
In reply to#630070
Am 07.08.2024 um 20:03 schrieb Jim Burns:
> On 8/7/2024 8:31 AM, WM wrote:

>> Do you agree that
>> all unit fractions with no exception
>> have gaps on the real line?

For WM this fact "implies" that there is a first/smallest unit fraction. :-)

"∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its existence." (WM)

This idiot is not able to comprehend that (1) (1/n - 1/(n+1))_(n e IN) 
is a null sequence and (2) SUM_(n=1..oo) 1/n - 1/(n+1) = 1.

<facepalm>

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#630078

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-07 18:55 +0000
Message-ID<Jg7PP28XE3jufZFsd6JadyO2FCE@jntp>
In reply to#630071
Le 07/08/2024 à 20:15, Moebius a écrit :
> Am 07.08.2024 um 20:03 schrieb Jim Burns:
>> On 8/7/2024 8:31 AM, WM wrote:
> 
>>> Do you agree that
>>> all unit fractions with no exception
>>> have gaps on the real line?
> 
> For WM this fact "implies" that there is a first/smallest unit fraction.

Of course. Never two can be added simultaneously to NUF(x)
> 
> "∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its existence." (WM)
> 
> (1) (1/n - 1/(n+1))_(n e IN) 
> is a null sequence

Nevertheless no unit fractions are without gap to their neighbours.

Regards, WM

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#630085

FromFromTheRafters <FTR@nomail.afraid.org>
Date2024-08-07 17:16 -0400
Message-ID<v90o6u$3c8vo$1@dont-email.me>
In reply to#630078
WM brought next idea :
> Le 07/08/2024 à 20:15, Moebius a écrit :
>> Am 07.08.2024 um 20:03 schrieb Jim Burns:
>>> On 8/7/2024 8:31 AM, WM wrote:
>> 
>>>> Do you agree that
>>>> all unit fractions with no exception
>>>> have gaps on the real line?
>> 
>> For WM this fact "implies" that there is a first/smallest unit fraction.
>
> Of course. Never two can be added simultaneously to NUF(x)
>> 
>> "∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its existence." (WM)
>> 
>> (1) (1/n - 1/(n+1))_(n e IN) is a null sequence
>
> Nevertheless no unit fractions are without gap to their neighbours.

In the rationals.

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#630077

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-07 18:51 +0000
Message-ID<ITBmjNVf2G_SL39f_-nN-t9i_zU@jntp>
In reply to#630070
Le 07/08/2024 à 20:03, Jim Burns a écrit :
> On 8/7/2024 8:31 AM, WM wrote:

>> Do you agree that
>> all unit fractions with no exception
>> have gaps on the real line?
> 
> Each unit fraction ⅟n has,
> for n ≠ 1, a gap between ⅟n and ⅟(n-1)
> a gap between ⅟n and ⅟(n+1)  and
> a gap between ⅟(n+1) and ⅟(n+2)
> thus

Never more than one unit fraction can be added simultaneously to NUF(x).

Regards, WM

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#630081

From"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Date2024-08-07 12:11 -0700
Message-ID<v90gsg$39pqf$1@dont-email.me>
In reply to#630077
On 8/7/2024 11:51 AM, WM wrote:
> Le 07/08/2024 à 20:03, Jim Burns a écrit :
>> On 8/7/2024 8:31 AM, WM wrote:
> 
>>> Do you agree that
>>> all unit fractions with no exception
>>> have gaps on the real line?
>>
>> Each unit fraction ⅟n has,
>> for n ≠ 1, a gap between ⅟n and ⅟(n-1)
>> a gap between ⅟n and ⅟(n+1)  and
>> a gap between ⅟(n+1) and ⅟(n+2)
>> thus
> 
> Never more than one unit fraction can be added simultaneously to NUF(x).

lol. So, I take it that you are not all that familiar with the word, 
"all", ?

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#630091

FromJim Burns <james.g.burns@att.net>
Date2024-08-08 00:38 -0400
Message-ID<5dd1393f-e39c-4808-ab25-7370ab4f297e@att.net>
In reply to#630077
On 8/7/2024 2:51 PM, WM wrote:
> Le 07/08/2024 à 20:03, Jim Burns a écrit :
>> On 8/7/2024 8:31 AM, WM wrote:

>>> Do you agree that
>>> all unit fractions with no exception
>>> have gaps on the real line?
>>
>> Each unit fraction ⅟n has,
>> for n ≠ 1, a gap between ⅟n and ⅟(n-1)
>> a gap between ⅟n and ⅟(n+1)  and
>> a gap between ⅟(n+1) and ⅟(n+2)
>> thus
>
> Never more than one unit fraction
> can be added simultaneously to NUF(x).

⅟n and ⅟(n+1) and ⅟(n+2) aren't
simultaneous [colocated]

NUF(⅟n) > 1
⅟n ≠ INNUF(1)

Each unit fraction ⅟n ≠ INVNUF(1)


Finite doesn't need to be small.
Finite can be big compared to Avogadroᴬᵛᵒᵍᵃᵈʳᵒ
and, if it shares finiteness.properties with 1
and with Avogadroᴬᵛᵒᵍᵃᵈʳᵒ, it is finite.

Infinite is beyond all finites, even big.finites.
Infinite does not have finiteness.properties.

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#630093

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-08 08:00 +0000
Message-ID<37BUQiNoPGWt-LjJeRoY_bppTSY@jntp>
In reply to#630091
Le 08/08/2024 à 06:38, Jim Burns a écrit :
> On 8/7/2024 2:51 PM, WM wrote:

>> Never more than one unit fraction
>> can be added simultaneously to NUF(x).
> 
> ⅟n and ⅟(n+1) and ⅟(n+2) aren't
> simultaneous [colocated]

NUF(0) = 0. Never more than one unit fraction can be added simultaneously 
to NUF(x).

> Infinite is beyond all finites, even big.finites.
> Infinite does not have finiteness.properties.

But logic remains valid.
NUF(0) = 0 and NUF(x) cannot increase by more than one at any x.
==> There exists x = INVNUF(1).

Regards, WM

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#630073

From"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Date2024-08-07 11:17 -0700
Message-ID<v90dod$38tvf$2@dont-email.me>
In reply to#630065
On 8/7/2024 5:31 AM, WM wrote:
> Le 06/08/2024 à 18:33, Jim Burns a écrit :
>> On 8/6/2024 9:55 AM, WM wrote:
> 
>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>>> implies its existence.
>>
>> No.
>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>> implies its NONexistence.
> 
> Do you agree that all unit fractions with no exception have gaps on the 
> real line?

They sure do. They are definitely not as dense as the reals by 
definition. Every unit fraction is a real number, but not all reals are 
unit fractions... :^)

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#630062

FromRichard Damon <richard@damon-family.org>
Date2024-08-06 22:36 -0400
Message-ID<e206ca375a92b2f29a32f7b386460ea25a2531e9@i2pn2.org>
In reply to#630024
On 8/6/24 4:35 AM, WM wrote:
> Le 06/08/2024 à 00:35, Jim Burns a écrit :
>> On 8/5/2024 3:21 PM, WM wrote:
>>> Le 05/08/2024 à 02:24, Moebius a écrit :
>>
>>>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x   (false) .
>>>
>>> ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true.
>>
>> ¬∃u ∈ ⅟ℕ: ∀x > 0: u < x
> 
> Right. But with NUF(x) = 1 ==> INVNUF(1) = x we get
> 
> ∃u ∈ ⅟ℕ, u < x, ∀y > x = INVNUF(1).
> 
> Regards, WM
> 
> 

But INVNUF(1) can't exist, as it will be bigger than

1/ ( ceil(1/INVNUF(1)) +1 ), and 1/ ( ceil(1/INVNUF(1)) +2 )
which are two different unit fractions.

And thus proving that it can't exist.

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#630067

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-07 13:05 +0000
Message-ID<yC2u_4PJS64bJNH-zfnPwLo8mLs@jntp>
In reply to#630062
Le 07/08/2024 à 04:36, Richard Damon a écrit :
> On 8/6/24 4:35 AM, WM wrote:

>> Right. But with NUF(x) = 1 ==> INVNUF(1) = x we get
>> 
>> ∃u ∈ ⅟ℕ, u < x, ∀y > x = INVNUF(1).
> 
> But INVNUF(1) can't exist, as it will be bigger than
> 
> 1/ ( ceil(1/INVNUF(1)) +1 ), and 1/ ( ceil(1/INVNUF(1)) +2 )
> which are two different unit fractions.

Peano is not valid for all dark numbers.
> 
Regards, WM

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#630072

From"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Date2024-08-07 11:16 -0700
Message-ID<v90dlv$38tvf$1@dont-email.me>
In reply to#630067
On 8/7/2024 6:05 AM, WM wrote:
> Le 07/08/2024 à 04:36, Richard Damon a écrit :
>> On 8/6/24 4:35 AM, WM wrote:
> 
>>> Right. But with NUF(x) = 1 ==> INVNUF(1) = x we get
>>>
>>> ∃u ∈ ⅟ℕ, u < x, ∀y > x = INVNUF(1).
>>
>> But INVNUF(1) can't exist, as it will be bigger than
>>
>> 1/ ( ceil(1/INVNUF(1)) +1 ), and 1/ ( ceil(1/INVNUF(1)) +2 )
>> which are two different unit fractions.
> 
> Peano is not valid for all dark numbers.

Can you name a dark number that works with it?

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