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Groups > sci.logic > #336783 > unrolled thread

Replacement of Cardinality

Started byWM <wolfgang.mueckenheim@tha.de>
First post2024-07-26 16:31 +0000
Last post2024-07-29 17:59 +0200
Articles 20 on this page of 732 — 14 participants

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Contents

  Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-26 16:31 +0000
    Re: Replacement of Cardinality joes <noreply@example.org> - 2024-07-26 21:57 +0000
      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-27 11:09 +0000
    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-26 22:23 -0400
      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-27 11:13 +0000
        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-27 07:27 -0400
          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-27 12:16 +0000
            Re: Replacement of Cardinality joes <noreply@example.org> - 2024-07-27 12:48 +0000
              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-28 11:43 +0000
            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-27 08:55 -0400
              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-28 11:55 +0000
                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-28 13:07 -0400
                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-29 13:11 +0000
                    Re: Replacement of Cardinality Python <python@invalid.org> - 2024-07-29 15:15 +0200
                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-29 21:18 -0400
                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-30 17:37 +0000
                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-30 21:28 -0400
                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-31 14:27 +0000
                            Re: Replacement of Cardinality joes <noreply@example.org> - 2024-07-31 16:20 +0000
                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-01 12:02 +0000
                                Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-01 12:43 -0400
                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-01 21:35 +0200
                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 11:40 +0000
                                    Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-02 12:35 -0400
                                      Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-02 19:08 +0200
                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-01 19:45 -0400
                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 14:58 +0000
                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-02 11:17 -0400
                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 15:57 +0000
                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-31 20:09 -0400
                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-01 12:27 +0000
                                Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-01 16:04 +0000
                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 11:38 +0000
                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-02 11:59 -0400
                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 16:05 +0000
                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-02 12:24 -0400
                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 16:32 +0000
                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-02 13:08 -0400
                                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-03 14:30 +0000
                                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-03 11:56 -0400
                                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-04 15:23 +0000
                                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-04 15:18 -0400
                                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-05 18:58 +0000
                                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-05 21:35 -0400
                                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-06 08:38 +0000
                                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-06 23:41 -0400
                                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-04 16:23 -0400
                                                      Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-05 19:24 -0700
                                                        Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-06 15:33 +0200
                                                          Re: Replacement of Cardinality Jim Burns <james.g.burns@att.net> - 2024-08-06 12:05 -0400
                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-06 18:35 +0200
                                                          Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-06 13:21 -0700
                                                            Re: Replacement of Cardinality FromTheRafters <FTR@nomail.afraid.org> - 2024-08-06 16:30 -0400
                                                            Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-06 23:02 +0200
                                                              Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-06 23:07 +0200
                                                              Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-06 16:46 -0700
                                                                Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-07 02:14 +0200
                                                                  Re: Replacement of Cardinality Moebius <invalid@example.invalid> - 2024-08-07 02:16 +0200
                                                                  Re: Replacement of Cardinality "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-08-15 16:32 -0700
                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 14:50 +0000
                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-01 19:53 -0400
                                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 15:09 +0000
                                    Re: Replacement of Cardinality joes <noreply@example.org> - 2024-08-02 15:42 +0000
                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 16:24 +0000
                                    Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-02 12:12 -0400
                                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 16:42 +0000
                                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-02 13:12 -0400
                                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-03 14:31 +0000
                                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-03 12:00 -0400
          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-27 12:18 +0000
    Re: Replacement of Cardinality Mikko <mikko.levanto@iki.fi> - 2024-07-27 11:21 +0300
      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-27 11:11 +0000
        Re: Replacement of Cardinality Mikko <mikko.levanto@iki.fi> - 2024-07-29 12:01 +0300
          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-29 13:15 +0000
            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-29 21:20 -0400
              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-30 17:39 +0000
                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-07-30 21:31 -0400
            Re: Replacement of Cardinality Mikko <mikko.levanto@iki.fi> - 2024-07-30 10:26 +0300
              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-30 14:41 +0000
                Re: Replacement of Cardinality Mikko <mikko.levanto@iki.fi> - 2024-07-31 11:51 +0300
                  Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-07-31 14:20 +0000
                    Re: Replacement of Cardinality Mikko <mikko.levanto@iki.fi> - 2024-08-02 09:48 +0300
                      Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 11:02 +0000
                        Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-02 12:19 -0400
                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-02 16:38 +0000
                            Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-02 13:19 -0400
                              Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-03 14:35 +0000
                                Re: Replacement of Cardinality Richard Damon <richard@damon-family.org> - 2024-08-03 12:02 -0400
                        Re: Replacement of Cardinality Mikko <mikko.levanto@iki.fi> - 2024-08-03 13:00 +0300
                          Re: Replacement of Cardinality WM <wolfgang.mueckenheim@tha.de> - 2024-08-03 13:33 +0000
    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 "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 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 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 "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 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 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 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 "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 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 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 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 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 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 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 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 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 Mikko <mikko.levanto@iki.fi> - 2024-08-22 15:27 +0300
                                                                                                                  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 Mikko <mikko.levanto@iki.fi> - 2024-08-20 13:36 +0300
                                                                                                    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 "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 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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#337119

FromMoebius <invalid@example.invalid>
Date2024-08-09 02:01 +0200
Message-ID<v93m8j$b7a2$2@dont-email.me>
In reply to#337114
Am 08.08.2024 um 22:44 schrieb Chris M. Thomasson:

> you [WM] have a HYPER finite mind that simply cannot deal with 
> infinity in any way, shape or from in the first place...

Exactly.

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#337110

FromJim Burns <james.g.burns@att.net>
Date2024-08-08 13:13 -0400
Message-ID<6c471296-90b8-4cf7-bc9b-480bd34ef190@att.net>
In reply to#337089
On 8/7/2024 3:01 PM, WM wrote:
> Le 07/08/2024 à 20:29, Jim Burns a écrit :
>> On 8/7/2024 1:47 PM, WM wrote:

>> The only part of your argument which you've shared is
>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>
> That is the decisive part.
> Never two or more unit fractions are added to NUF.

>> you (WM) find silence with regard to
>> the rest of your argument
>> more advantageous, apparently.
>
> There is no rest.

I am finding it difficult to imagine you (WM)
as a student of physics.
You were a student of physics, right?

⎛ <teacher>
⎜ How long does it take the polar bear
⎜ to slide down the frictionless ice.slope?
⎜
⎜ <Wölfchen>
⎜ 37 seconds.
⎜
⎜ <teacher>
⎜ Please show your work.
⎜
⎜ <Wölfchen>
⎝ 37 seconds, you idiot.
?

No, I just can't see it.

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#337123

FromMoebius <invalid@example.invalid>
Date2024-08-09 02:14 +0200
Message-ID<v93n0s$b7a2$4@dont-email.me>
In reply to#337110
Am 08.08.2024 um 19:13 schrieb Jim Burns:
> On 8/7/2024 3:01 PM, WM wrote:
>> Le 07/08/2024 à 20:29, Jim Burns a écrit :
>>> On 8/7/2024 1:47 PM, WM wrote:
> 
>>> The only part of your argument which you've shared is
>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>>
>> That is the decisive part.
>> Never two or more unit fractions are added to NUF.
> 
>>> you (WM) find silence with regard to
>>> the rest of your argument
>>> more advantageous, apparently.
>>
>> There is no rest.
> 
> I am finding it difficult to imagine you (WM)
> as a student of physics.
> You were a student of physics, right?

Actually, he was a professor of physics (sort of)! :-)

> ⎛ <teacher>
> ⎜ How long does it take the polar bear
> ⎜ to slide down the frictionless ice.slope?
> ⎜
> ⎜ <Wölfchen>
> ⎜ 37 seconds.
> ⎜
> ⎜ <teacher>
> ⎜ Please show your work.
> ⎜
> ⎜ <Wölfchen>
> ⎝ 37 seconds, you idiot.
> ?
> 
> No, I just can't see it.

You silly idiot, can't you comprehend the significance of

     ∀n ∈ ℕ: 1/n - 1/(n+1) > 0

?! (!!!)

Hint: WM never really *studied* mathematics ... you see.

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#337126

FromJim Burns <james.g.burns@att.net>
Date2024-08-08 20:32 -0400
Message-ID<1f25a3d6-7b0e-476d-aa99-ecb003cf763f@att.net>
In reply to#337123
On 8/8/2024 8:14 PM, Moebius wrote:
> Am 08.08.2024 um 19:13 schrieb Jim Burns:
>> On 8/7/2024 3:01 PM, WM wrote:
>>> Le 07/08/2024 à 20:29, Jim Burns a écrit :

>>>> The only part of your argument which you've shared is
>>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>>>
>>> That is the decisive part.
>>> Never two or more unit fractions are added to NUF.
>>
>>>> you (WM) find silence with regard to
>>>> the rest of your argument
>>>> more advantageous, apparently.
>>>
>>> There is no rest.
>>
>> I am finding it difficult to imagine you (WM)
>> as a student of physics.
>> You were a student of physics, right?
>
> Actually, he was a professor of physics (sort of)! :-)

I've heard that.
That is the source of my confusion.

>> ⎛ <teacher>
>> ⎜ How long does it take the polar bear
>> ⎜ to slide down the frictionless ice.slope?
>> ⎜
>> ⎜ <Wölfchen>
>> ⎜ 37 seconds.
>> ⎜
>> ⎜ <teacher>
>> ⎜ Please show your work.
>> ⎜
>> ⎜ <Wölfchen>
>> ⎝ 37 seconds, you idiot.
>> ?
>>
>> No, I just can't see it.
>
> You silly idiot,
> can't you comprehend the significance of
> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
> ?! (!!!)
>
> Hint:
> WM never really *studied* mathematics ...
> you see.

A physics argument and a mathematics argument
are different, but
there are things they both are NOT.
I think I would feel some of the same confusion
if WM was a practicing lawyer.
Lawyers must argue, too.
Surely, a lawyer wouldn't think that
"Boom! Here's the conclusion"
is an _argument_ ?

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#337127

FromMoebius <invalid@example.invalid>
Date2024-08-09 03:10 +0200
Message-ID<v93qao$c9j5$1@dont-email.me>
In reply to#337126
Am 09.08.2024 um 02:32 schrieb Jim Burns:

> A physics argument and a mathematics argument
> are different, but
> there are things they both are NOT.

I've to agree since I've studied both (at least partwise).

> I think I would feel some of the same confusion
> if WM was a practicing lawyer.
> Lawyers must argue, too.
> Surely, a lawyer wouldn't think that
> "Boom! Here's the conclusion"
> is an _argument_ ?

*lol* There once was a philosopher (Meinong) who claimed:

"Es gibt Dinge von denen gilt, dass es sie gar nicht gibt."

[There are things that are considered not to exist at all.]

Seams that WM is a Meinongian. :-)

Lit.: Bertrand Russell, On Denoting (1905)
http://bactra.org/Russell/denoting/

and

Willard Van Orman Quine, On What There Is (1948)
https://rintintin.colorado.edu/~vancecd/phil375/Quine.pdf

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#337128

FromMoebius <invalid@example.invalid>
Date2024-08-09 03:12 +0200
Message-ID<v93qd2$c9j6$1@dont-email.me>
In reply to#337126
Am 09.08.2024 um 02:32 schrieb Jim Burns:

> A physics argument and a mathematics argument
> are different, but
> there are things they both are NOT.

I've to agree since I've studied both (at least partwise).

> I think I would feel some of the same confusion
> if WM was a practicing lawyer.
> Lawyers must argue, too.
> Surely, a lawyer wouldn't think that
> "Boom! Here's the conclusion"
> is an _argument_ ?

*lol* There once was a philosopher (Meinong) who claimed:

"Es gibt Dinge von denen gilt, dass es sie gar nicht gibt."

[There are things that are considered not to exist at all.]

Seems that WM is a Meinongian. :-)

Lit.: Bertrand Russell, On Denoting (1905)
http://bactra.org/Russell/denoting/

and

Willard Van Orman Quine, On What There Is (1948)
https://rintintin.colorado.edu/~vancecd/phil375/Quine.pdf

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#337150

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-10 15:54 +0000
Message-ID<b0XFTJvTommasLo9Ns10OeW0TN0@jntp>
In reply to#337126
Le 09/08/2024 à 02:32, Jim Burns a écrit :

> Surely, a lawyer wouldn't think that
> "Boom! Here's the conclusion"
> is an _argument_ ?

∀n ∈ ℕ: 1/n - 1/(n+1) > 0 
Therefore there can only be a single first unit fraction.
What else do you need?

Regards, WM

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#337153

FromJim Burns <james.g.burns@att.net>
Date2024-08-10 13:28 -0400
Message-ID<75e2ce0e-7df8-4266-968b-9c58e4140b03@att.net>
In reply to#337150
On 8/10/2024 11:54 AM, WM wrote:
> Le 09/08/2024 à 02:32, Jim Burns a écrit :

>> Surely, a lawyer wouldn't think that
>> "Boom! Here's the conclusion"
>> is an _argument_ ?
>
> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0

<place for argument>

> Therefore there can only be a single first 
> unit fraction.

No one has said there are two first unit.fractions.
What forbids zero first unit.fractions?

What causes an exception: nₓ ∈ ℕ without ⅟(nₓ+1) ?

> What else do you need?

That which you've not yet done,
show the opposite of this argument:
⎛ ∀n ∈ ℕ: ⅟n - ⅟(n+1) > 0
⎜
⎜ ∀n ∈ ℕ: ∃k ∈ ℕ: ⅟k = ⅟(n+1)  ∧  ⅟n > ⅟k
⎜
⎜ ∀n ∈ ℕ: ∃k ∈ ℕ: ⅟n > ⅟k
⎜
⎜ ⅟n is the first unit fraction  ⇔
⎜ ¬∃k ∈ ℕ: ⅟n > ⅟k
⎜
⎜ ∀n ∈ ℕ: ¬(⅟n is the first unit fraction)
⎜
⎜ ¬∃n ∈ ℕ: ⅟n is the first unit fraction
⎜
⎝ There is no first unit fraction.


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#337186

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-11 12:29 +0000
Message-ID<RCAlRuRy_RKB_tYItKJs7fNcIs0@jntp>
In reply to#337153
Le 10/08/2024 à 19:28, Jim Burns a écrit :
> On 8/10/2024 11:54 AM, WM wrote:
>> Le 09/08/2024 à 02:32, Jim Burns a écrit :
> 
>>> Surely, a lawyer wouldn't think that
>>> "Boom! Here's the conclusion"
>>> is an _argument_ ?
>>
>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
> 
> If an interval contains unit fractions, then it contains a first one.
> 
>> Therefore there can only be a single first 
>> unit fraction.
> 
> No one has said there are two first unit.fractions.
> What forbids zero first unit.fractions?

The existence of unit frations enforces one or more first unit fractions.
> 
> What causes an exception: nₓ ∈ ℕ without ⅟(nₓ+1) ?

The end of the positivee axis.

Regards, WM

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#337192

FromJim Burns <james.g.burns@att.net>
Date2024-08-11 13:56 -0400
Message-ID<35d8c0a1-dab3-4c15-8f24-068e8200cb07@att.net>
In reply to#337186
On 8/11/2024 8:29 AM, WM wrote:
> Le 10/08/2024 à 19:28, Jim Burns a écrit :
>> On 8/10/2024 11:54 AM, WM wrote:
>>> Le 09/08/2024 à 02:32, Jim Burns a écrit :

>>>> Surely, a lawyer wouldn't think that
>>>> "Boom! Here's the conclusion"
>>>> is an _argument_ ?
>>>
>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0

<place for argument>

> If an interval contains unit fractions,
> then it contains a first one.
>
>>> Therefore
>>> there can only be a single first unit fraction.
>>
>> No one has said there are two first unit.fractions.
>> What forbids zero first unit.fractions?

<place for argument>

> The existence of unit frations enforces
> one or more first unit fractions.
>
>> What causes an exception: nₓ ∈ ℕ without ⅟(nₓ+1) ?
>
> The end of the positivee axis.

>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0

∀n ∈ ℕ: 1/n > 1/(n+1) > 0

Each positive unit fraction is not
the first positive unit fraction.

What causes an exception: nₓ ∈ ℕ:
⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?


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#337210

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-12 13:50 +0000
Message-ID<sglIw8p3PCeHivaAhg-7IVZCN4A@jntp>
In reply to#337192
Le 11/08/2024 à 19:56, Jim Burns a écrit :
> On 8/11/2024 8:29 AM, WM wrote:

>>> What causes an exception: nₓ ∈ ℕ without ⅟(nₓ+1) ?
>>
>> The end of the positivee axis.
> 
>>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
> 
> ∀n ∈ ℕ: 1/n > 1/(n+1) > 0

If 1/(n+1) exists.
> 
> Each positive unit fraction is not
> the first positive unit fraction.
> 
> What causes an exception: nₓ ∈ ℕ:
> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?

The end of the positive axis.

Regards, WM

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#337213

FromRichard Damon <richard@damon-family.org>
Date2024-08-12 13:23 -0400
Message-ID<c3b058c033321a59844da1fa46c5ac85a4b6566c@i2pn2.org>
In reply to#337210
On 8/12/24 9:50 AM, WM wrote:
> Le 11/08/2024 à 19:56, Jim Burns a écrit :
>> On 8/11/2024 8:29 AM, WM wrote:
> 
>>>> What causes an exception: nₓ ∈ ℕ without ⅟(nₓ+1) ?
>>>
>>> The end of the positivee axis.
>>
>>>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>>
>> ∀n ∈ ℕ: 1/n > 1/(n+1) > 0
> 
> If 1/(n+1) exists.

Which, by the definition of the Natural Numbers, it does.

Of course, if your logic doesn't actually allow the Natural Numbers to 
exist as a set, then you shouldn't be using it.

>>
>> Each positive unit fraction is not
>> the first positive unit fraction.
>>
>> What causes an exception: nₓ ∈ ℕ:
>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
> 
> The end of the positive axis.

Which, by the definition of the Natural Numbers, doesn't exist.

Of course, if your logic doesn't actually allow the Natural Numbers to 
exist as a set, then you shouldn't be using it.

Since it is clear that you logic can't handle the Natuarl Numbers, you 
are just al Number, you use of them just shows you don't mind using 
broken logic.

> 
> Regards, WM
> 
> 

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#337254

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-13 14:17 +0000
Message-ID<mH8M1Rqfb7VYix0Wa0ZP-U89eG4@jntp>
In reply to#337213
Le 12/08/2024 à 19:23, Richard Damon a écrit :
> On 8/12/24 9:50 AM, WM wrote:

>>> What causes an exception: nₓ ∈ ℕ:
>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>> 
>> The end of the positive axis.
> 
> Which, by the definition of the Natural Numbers, doesn't exist.

The end of the positive axis exists.

Regards, WM


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#337258

FromFromTheRafters <FTR@nomail.afraid.org>
Date2024-08-13 12:07 -0400
Message-ID<v9g0br$3v7kj$1@dont-email.me>
In reply to#337254
WM used his keyboard to write :
> Le 12/08/2024 à 19:23, Richard Damon a écrit :
>> On 8/12/24 9:50 AM, WM wrote:
>
>>>> What causes an exception: nₓ ∈ ℕ:
>>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>>> 
>>> The end of the positive axis.
>> 
>> Which, by the definition of the Natural Numbers, doesn't exist.
>
> The end of the positive axis exists.

Right there where the negative axis begins?

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#337269

From"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Date2024-08-13 12:13 -0700
Message-ID<v9gb89$1g5h$2@dont-email.me>
In reply to#337258
On 8/13/2024 9:07 AM, FromTheRafters wrote:
> WM used his keyboard to write :
>> Le 12/08/2024 à 19:23, Richard Damon a écrit :
>>> On 8/12/24 9:50 AM, WM wrote:
>>
>>>>> What causes an exception: nₓ ∈ ℕ:
>>>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>>>>
>>>> The end of the positive axis.
>>>
>>> Which, by the definition of the Natural Numbers, doesn't exist.
>>
>> The end of the positive axis exists.
> 
> Right there where the negative axis begins?

Ahh! Touche. :^D

Well, lets say the real axis, or x axis if you will:

(...)<--(-1)<--(-0+)-->(+1)-->(...)

It's infinitely long... Notice the signed zero? lol. Fair enough?

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#337271

From"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Date2024-08-13 12:17 -0700
Message-ID<v9gbgq$1g5h$4@dont-email.me>
In reply to#337269
On 8/13/2024 12:13 PM, Chris M. Thomasson wrote:
> On 8/13/2024 9:07 AM, FromTheRafters wrote:
>> WM used his keyboard to write :
>>> Le 12/08/2024 à 19:23, Richard Damon a écrit :
>>>> On 8/12/24 9:50 AM, WM wrote:
>>>
>>>>>> What causes an exception: nₓ ∈ ℕ:
>>>>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>>>>>
>>>>> The end of the positive axis.
>>>>
>>>> Which, by the definition of the Natural Numbers, doesn't exist.
>>>
>>> The end of the positive axis exists.
>>
>> Right there where the negative axis begins?
> 
> Ahh! Touche. :^D
> 
> Well, lets say the real axis, or x axis if you will:
> 
> (...)<--(-1)<--(-0+)-->(+1)-->(...)
> 
> It's infinitely long... Notice the signed zero? lol. Fair enough?
> 
> 

I consider zero to be the origin for any n-ary axes system. For 2d (0, 
0), 3d (0, 0, 0) for 4d (0, 0, 0, 0), 5d (0, 0, 0, 0, 0), ect, ect... ;^)

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#337283

FromFromTheRafters <FTR@nomail.afraid.org>
Date2024-08-13 17:11 -0400
Message-ID<v9gi6t$2nm2$1@dont-email.me>
In reply to#337271
Chris M. Thomasson used his keyboard to write :
> On 8/13/2024 12:13 PM, Chris M. Thomasson wrote:
>> On 8/13/2024 9:07 AM, FromTheRafters wrote:
>>> WM used his keyboard to write :
>>>> Le 12/08/2024 à 19:23, Richard Damon a écrit :
>>>>> On 8/12/24 9:50 AM, WM wrote:
>>>>
>>>>>>> What causes an exception: nₓ ∈ ℕ:
>>>>>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>>>>>>
>>>>>> The end of the positive axis.
>>>>>
>>>>> Which, by the definition of the Natural Numbers, doesn't exist.
>>>>
>>>> The end of the positive axis exists.
>>>
>>> Right there where the negative axis begins?
>> 
>> Ahh! Touche. :^D
>> 
>> Well, lets say the real axis, or x axis if you will:
>> 
>> (...)<--(-1)<--(-0+)-->(+1)-->(...)
>> 
>> It's infinitely long... Notice the signed zero? lol. Fair enough?
>> 
>> 
>
> I consider zero to be the origin for any n-ary axes system. For 2d (0, 0), 3d 
> (0, 0, 0) for 4d (0, 0, 0, 0), 5d (0, 0, 0, 0, 0), ect, ect... ;^)

I prefer the unsigned version. Sometimes the set of naturals is called 
the positive integers and the naturals with zero as non-negative 
integers.

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#337266

FromJim Burns <james.g.burns@att.net>
Date2024-08-13 14:34 -0400
Message-ID<4412ba58-855f-401d-9fd0-879d5cb50062@att.net>
In reply to#337254
On 8/13/2024 10:17 AM, WM wrote:
> Le 12/08/2024 à 19:23, Richard Damon a écrit :
>> On 8/12/24 9:50 AM, WM wrote:
>>> Le 11/08/2024 à 19:56, Jim Burns a écrit :

>>>> What causes an exception: nₓ ∈ ℕ:
>>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>>>
>>> The end of the positive axis.
>>
>> Which,
>> by the definition of the Natural Numbers,
>> doesn't exist.
>
> The end of the positive axis exists.

No point in the positive axis is
largest in the positive axis or
smallest in the positive axis.
A point not.largest and not.smallest
is not an end.

No point in the positive axis is
an upper.end or a lower.end.

If an end of the positive exists,
it is in the positive axis.
A bound not.in is not an end.

No point not.in the positive axis is
an upper.end or a lower.end.

No point is
an upper.end or a lower.end.

The end of the positive axis
does not exist.

----
In the land of rationals only with
countable.to numerators and denominators
and with each split situated
⎛ a last point in the foresplit or
⎝ a first point in the hindsplit,
no point in the positive axis is
largest in the positive axis or
smallest in the positive axis.

for each positive rational p/q
p > 0, q > 0
(p+1)/q > p/q > p/(q+1) > 0

for each positive rational p/q
p/q is not the upper.end or lower.end
of the positive rationals.

for each point x situating a split F,H
of the positive axis,
there is a rational < x in F
and a rational > x in H
and x is not the upper.end or lower.end
of the positive rationals.

No other points are in the positive axis.
No points not.in are ends.

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#337267

FromJim Burns <james.g.burns@att.net>
Date2024-08-13 14:39 -0400
Message-ID<56be7da1-b283-4d05-af73-880ce7db7ac8@att.net>
In reply to#337266
On 8/13/2024 2:34 PM, Jim Burns wrote:
> On 8/13/2024 10:17 AM, WM wrote:
>> Le 12/08/2024 à 19:23, Richard Damon a écrit :
>>> On 8/12/24 9:50 AM, WM wrote:
>>>> Le 11/08/2024 à 19:56, Jim Burns a écrit :
> 
>>>>> What causes an exception: nₓ ∈ ℕ:
>>>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>>>>
>>>> The end of the positive axis.
>>>
>>> Which,
>>> by the definition of the Natural Numbers,
>>> doesn't exist.
>>
>> The end of the positive axis exists.
> 
> No point in the positive axis is
> largest in the positive axis or
> smallest in the positive axis.
> A point not.largest and not.smallest
> is not an end.
> 
> No point in the positive axis is
> an upper.end or a lower.end.
> 
> If an end of the positive exists,
> it is in the positive axis.
> A bound not.in is not an end.
> 
> No point not.in the positive axis is
> an upper.end or a lower.end.
> 
> No point is
> an upper.end or a lower.end.
> 
> The end of the positive axis
> does not exist.
> 
> ----
> In the land of rationals only with
> countable.to numerators and denominators
> and with each split situated
> ⎛ a last point in the foresplit or
> ⎝ a first point in the hindsplit,
> no point in the positive axis is
> largest in the positive axis or
> smallest in the positive axis.
> 
> for each positive rational p/q
> p > 0, q > 0
> (p+1)/q > p/q > p/(q+1) > 0
> 
> for each positive rational p/q
> p/q is not the upper.end or lower.end
> of the positive rationals.
> 
> for each point x situating a split F,H
> of the positive axis,
> there is a rational < x in F
> and a rational > x in H
> and x is not the upper.end or lower.end
> of the positive rationals.

s/the positive rationals/the positive axis

> No other points are in the positive axis.
> No points not.in are ends.
> 
> 

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#337298

FromWM <wolfgang.mueckenheim@tha.de>
Date2024-08-14 12:34 +0000
Message-ID<CYrSgRVL0Y9qT9pbZDtRgAv0Juo@jntp>
In reply to#337266
Le 13/08/2024 à 20:34, Jim Burns a écrit :
> On 8/13/2024 10:17 AM, WM wrote:
>> Le 12/08/2024 à 19:23, Richard Damon a écrit :
>>> On 8/12/24 9:50 AM, WM wrote:
>>>> Le 11/08/2024 à 19:56, Jim Burns a écrit :
> 
>>>>> What causes an exception: nₓ ∈ ℕ:
>>>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>>>>
>>>> The end of the positive axis.
>>>
>>> Which,
>>> by the definition of the Natural Numbers,
>>> doesn't exist.
>>
>> The end of the positive axis exists.
> 
> No point in the positive axis is
> largest in the positive axis or
> smallest in the positive axis.

What is smaller than every positive x is smaller than the interval (0, 
oo).

Regards, WM

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