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Groups > sci.logic > #336783 > unrolled thread
| Started by | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| First post | 2024-07-26 16:31 +0000 |
| Last post | 2024-07-29 17:59 +0200 |
| Articles | 20 on this page of 732 — 14 participants |
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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
Page 11 of 37 — ← Prev page 1 … 9 10 [11] 12 13 … 37 Next page →
| From | Ross Finlayson <ross.a.finlayson@gmail.com> |
|---|---|
| Date | 2024-12-29 18:01 -0800 |
| Subject | Re: Replacement of Cardinality (quantifier disambiguation) |
| Message-ID | <DIWdnYVEbcNAY-z6nZ2dnZfqnPqdnZ2d@giganews.com> |
| In reply to | #337013 |
On 08/04/2024 06:41 PM, Ross Finlayson wrote:
> On 08/04/2024 05:49 PM, Ross Finlayson wrote:
>> On 08/04/2024 05:24 PM, Moebius wrote:
>>> Am 05.08.2024 um 01:07 schrieb Chris M. Thomasson:
>>>> On 8/4/2024 8:35 AM, WM wrote:
>>>>> Le 04/08/2024 à 02:15, Moebius a écrit :
>>>>>> Am 03.08.2024 um 21:54 schrieb Jim Burns:
>>>>>>> On 8/3/2024 10:23 AM, WM wrote:
>>>>>>
>>>>>>>> NUF(x) = ℵ₀ for all x > 0 is wrong.
>>>>>>
>>>>>> Nonsense.
>>>>>>
>>>>>> Actually, Ax > 0: NUF(x) = ℵ₀.
>>>>>
>>>>> You mean that there are ℵ₀ unit fractions smaller than all positive x?
>>>
>>> Obviously not.
>>>
>>> What I mean is that for all positive x there are ℵ₀ unit fractions
>>> smaller than x.
>>>
>>>>> Impossible. [...] Not even one unit fraction can be smaller than all
>>>>> positive x.
>>>
>>> No one (except WM) claimed that there's a unit fraction which is smaller
>>> than all positive x.
>>>
>>>> Huh?
>>>
>>> WM is constantly mixing up
>>>
>>> ∀x > 0: ∃^ℵ₀ u ∈ ⅟ℕ: u < x (true)
>>> with
>>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x (false) .
>>>
>>> (Here ⅟ℕ = {1/n : n e IN} is the set of all unit fractions.)
>>>
>>>> Say x = 1/2, there are infinite smaller unit fractions, say, 1/4, 1/5,
>>>> 1/6, ect... However there is only one larger one, 1/1. See? No
>>>> smallest one for 1/0 is not a unit fraction! There is a largest one,
>>>> 1/1...
>>>>
>>>> They tend to zero, but there is no smallest one...
>>>
>>> Yeah.
>>>
>>> Proof: If s is a unit fraction then 1/(1/s + 1) is a unit fraction which
>>> is smaller than s (for each and every s).
>>>
>>>> See?
>>>
>>>
>>
>> See, you meant the same things but were using different modes
>> for each/any/every/all and now you think each other were wrong.
>>
>> Or, you know, cleared that up.
>>
>> There are different modes of universal quantification and
>> they're particularly relevant in arguments about them.
>>
>>
>>
>> (Also "material implication" is "quasi-modal".)
>>
>>
>> In front of any term are infinitely many implicit quantifiers,
>> the term being infinitely many implicit variables, that
>> a usual modest "for-any x" is "to the omega".
>>
>> Here though specifically "any" and "each" don't mean
>> the same thing as "every" and "all".
>>
>> Though, the usual "universal quantifier" doesn't know that.
>>
>>
>
>
> Natural language can convey a lot, and sometimes
> it's more relevant to make a "generous" reading and
> figure that someone meant something correct when
> it could be read as wrong, vis-a-vis a usual sort of
> "robot's first syntax exception: bzzt... error... error...,
> does not compute", instead of, "... can not compute".
>
> It's similar when dealing with cranktrolls of the various
> sorts often of the sockpuppet variety like "dumb WM"
> and "AP the lesser", with there being of course an "AP the greater",
> about making a generous reading, about what _can_ be
> salvaged from their argument, deconstructing to what's
> not discarded, instead of just flat balking and catching
> just the diagnosis of the error, not the success.
>
> So, when Dumbem (you know, "dumb-'em down") has
> a, ..., "half-truth" of sorts, there's still keeping that what's
> true about things, besides knowing what's wrong with it,
> and offering particularly how to go about so that a less
> generous reading would have nothing to complain about,
> providing correction not just rejection.
>
> Here for example the "number theory says half of the integers
> are even" can help somebody when they're told "cardinality
> the size relation is about sets and doesn't know the modularity
> of numbers per se though of course you could also just contrive
> sets of functions by blowing up and taking back down the modular
> so that cardinality as a model of size relation can have models
> made for it of any other size relation like density or for that
> matter OUTPACING", and these kinds of things, when that a
> tool like the inequality transitively of cardinals makes itself
> so absolute, it's just re-used because then it must be possible
> to build such matters of relation in terms of it, establishing
> the extensionality either way, in the numbers' terms or the
> sets' terms.
>
>
> Then though that infinite completions either complete
> or not, there's a pretty strong argument that they either
> do or don't, that if they do they do and if they don't they don't.
>
> This is for something like Zeno and the limit and the infinite limit,
> there being a difference, and that Zeno particularly says that
> "if you don't get all the way across, then close enough is also
> close enough to half, to a quarter, and on down the inverse
> powers of two, to none".
>
> I.e. Zeno explains that the analytical bridge has an inductive
> impasse and must be surpassed as an infinite super-task.
>
>
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| From | "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> |
|---|---|
| Date | 2024-08-04 23:44 -0700 |
| Message-ID | <v8psbi$hpju$1@dont-email.me> |
| In reply to | #337011 |
On 8/4/2024 5:24 PM, Moebius wrote:
> Am 05.08.2024 um 01:07 schrieb Chris M. Thomasson:
>> On 8/4/2024 8:35 AM, WM wrote:
>>> Le 04/08/2024 à 02:15, Moebius a écrit :
>>>> Am 03.08.2024 um 21:54 schrieb Jim Burns:
>>>>> On 8/3/2024 10:23 AM, WM wrote:
>>>>
>>>>>> NUF(x) = ℵ₀ for all x > 0 is wrong.
>>>>
>>>> Nonsense.
>>>>
>>>> Actually, Ax > 0: NUF(x) = ℵ₀.
>>>
>>> You mean that there are ℵ₀ unit fractions smaller than all positive x?
>
> Obviously not.
>
> What I mean is that for all positive x there are ℵ₀ unit fractions
> smaller than x.
>
>>> Impossible. [...] Not even one unit fraction can be smaller than all
>>> positive x.
>
> No one (except WM) claimed that there's a unit fraction which is smaller
> than all positive x.
>
>> Huh?
>
> WM is constantly mixing up
>
> ∀x > 0: ∃^ℵ₀ u ∈ ⅟ℕ: u < x (true)
> with
> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x (false) .
>
> (Here ⅟ℕ = {1/n : n e IN} is the set of all unit fractions.)
>
>> Say x = 1/2, there are infinite smaller unit fractions, say, 1/4, 1/5,
>> 1/6, ect... However there is only one larger one, 1/1. See? No
>> smallest one for 1/0 is not a unit fraction! There is a largest one,
>> 1/1...
>>
>> They tend to zero, but there is no smallest one...
>
> Yeah.
>
> Proof: If s is a unit fraction then 1/(1/s + 1) is a unit fraction which
> is smaller than s (for each and every s).
Yup.
always_smaller(i) = (1/(i + 1))
So, starting at 1/1:
always_smaller(1) = 1/2
always_smaller(2) = 1/3
always_smaller(3) = 1/4
always_smaller(4) = 1/5
...
;^)
>
>> See?
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| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-08-05 10:03 +0200 |
| Message-ID | <v8q10e$ifgk$1@dont-email.me> |
| In reply to | #337014 |
Am 05.08.2024 um 08:44 schrieb Chris M. Thomasson:
> On 8/4/2024 5:24 PM, Moebius wrote:
>> Am 05.08.2024 um 01:07 schrieb Chris M. Thomasson:
>>> [...] there is no smallest [unit fration]...
>>
>> Yeah.
>>
>> Proof: If s is a unit fraction then 1/(1/s + 1) is a unit fraction
>> which is smaller than s (for each and every s).
>
> Yup.
>
> always_smaller(i) = (1/(i + 1))
>
> So, starting at 1/1:
>
> always_smaller(1) = 1/2
> always_smaller(2) = 1/3
> always_smaller(3) = 1/4
> always_smaller(4) = 1/5
> ...
Let's try
next_unit_fraction(u) = (1/(1/u + 1))
So, starting with 1/1:
next_unit_fraction(1/1) = 1/2
next_unit_fraction(1/2) = 1/3
next_unit_fraction(1/3) = 1/4
next_unit_fraction(1/4) = 1/5
;
:-P
Though in Mückenland we will have
next_unit_fraction(1/n) = NaN
for some natural number n, I guess.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Btw. we might implement this function (in Python) the followimg way:
def next_unit_fraction(n, m):
return (1, m//n + 1)
Testcode:
(n, m) = (1, 1); print((n, m))
(n, m) = next_unit_fraction(n, m); print((n, m))
(n, m) = next_unit_fraction(n, m); print((n, m))
(n, m) = next_unit_fraction(n, m); print((n, m))
(n, m) = next_unit_fraction(n, m); print((n, m))
Output:
(1, 1)
(1, 2)
(1, 3)
(1, 4)
(1, 5)
Works! :-P
[toc] | [prev] | [next] | [standalone]
| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-08-05 10:12 +0200 |
| Message-ID | <v8q1hi$is14$1@dont-email.me> |
| In reply to | #337014 |
Am 05.08.2024 um 08:44 schrieb Chris M. Thomasson:
> On 8/4/2024 5:24 PM, Moebius wrote:
>> Am 05.08.2024 um 01:07 schrieb Chris M. Thomasson:
>>> [...] there is no smallest [unit fraction]...
>>
>> Yeah.
>>
>> Proof: If s is a unit fraction then 1/(1/s + 1) is a unit fraction
>> which is smaller than s (for each and every s).
>
> Yup.
>
> always_smaller(i) = (1/(i + 1))
>
> So, starting at 1/1:
>
> always_smaller(1) = 1/2
> always_smaller(2) = 1/3
> always_smaller(3) = 1/4
> always_smaller(4) = 1/5
> ...
Let's try
next_unit_fraction(u) = (1/(1/u + 1))
So, starting with 1/1:
next_unit_fraction(1/1) = 1/2
next_unit_fraction(1/2) = 1/3
next_unit_fraction(1/3) = 1/4
next_unit_fraction(1/4) = 1/5
:
:-P
Though in Mückenland we will have
next_unit_fraction(1/n) = NaN
for some natural number n, I guess.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Btw. we might implement this function (in Python) the followimg way:
def next_unit_fraction(n, m):
return (1, m//n + 1)
Testcode:
(n, m) = (1, 1); print((n, m))
(n, m) = next_unit_fraction(n, m); print((n, m))
(n, m) = next_unit_fraction(n, m); print((n, m))
(n, m) = next_unit_fraction(n, m); print((n, m))
(n, m) = next_unit_fraction(n, m); print((n, m))
Output:
(1, 1)
(1, 2)
(1, 3)
(1, 4)
(1, 5)
Works! :-P
[toc] | [prev] | [next] | [standalone]
| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-08-05 22:47 +0200 |
| Message-ID | <v8rdp3$11v9s$4@dont-email.me> |
| In reply to | #337016 |
Am 05.08.2024 um 10:12 schrieb Moebius: > > Btw. we might implement this function (in Python) the followimg way: > > def next_unit_fraction(n, m): Better: next_smaller_unit_fraction > return (1, m//n + 1) :-P
[toc] | [prev] | [next] | [standalone]
| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-08-05 23:25 +0200 |
| Message-ID | <v8rg0n$138s1$1@dont-email.me> |
| In reply to | #337027 |
Am 05.08.2024 um 22:47 schrieb Moebius: > Am 05.08.2024 um 10:12 schrieb Moebius: > >> Btw. we might implement this function (in Python) the followimg way: >> >> next_smaller_unit_fraction(n, m): >> return (1, m//n + 1) It's strange, if (1, bla) is a "representation" of WM's "smallest unit fraction" 1/bla, next_smaller_unit_fraction(1, bla) returns (the representation of) a smaller unit fraction (if we assume that our computational ressources are unlimited). :-)
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-08-05 19:21 +0000 |
| Message-ID | <YRqt2RTE0zSHQN0l_bDKeY-9QkM@jntp> |
| In reply to | #337011 |
Le 05/08/2024 à 02:24, Moebius a écrit : > ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x (false) . ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true. Regards, WM
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| From | Jim Burns <james.g.burns@att.net> |
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| Date | 2024-08-05 18:35 -0400 |
| Message-ID | <4e68c0fa-a068-487e-bbba-8f908051c99d@att.net> |
| In reply to | #337025 |
On 8/5/2024 3:21 PM, WM wrote: > Le 05/08/2024 à 02:24, Moebius a écrit : >> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x (false) . > > ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true. ¬∃u ∈ ⅟ℕ: ∀x > 0: u < x
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| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-08-06 01:22 +0200 |
| Message-ID | <v8rmrv$15hmu$1@dont-email.me> |
| In reply to | #337030 |
Am 06.08.2024 um 00:35 schrieb Jim Burns: > On 8/5/2024 3:21 PM, WM wrote: >> Le 05/08/2024 à 02:24, Moebius a écrit : > >>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x (false) . >> >> ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true. Nonsense. Mückenheim, Du bist selbst zum Scheißen zu blöde. Actually, > ¬∃u ∈ ⅟ℕ: ∀x > 0: u < x Something's very wrong with Mückenheim. Even this idiot should understand that there can't be an u in ⅟ℕ c IR+ such that for all x e IR, x > 0: x < u. After all, this would imply the existence of an u0 in ⅟ℕ such that u0 < u0. Btw. like your simplified notation. Improves readability, imho. :-P
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-08-06 08:35 +0000 |
| Message-ID | <1LaR3C3TkRhtYie7FCrVnCkvrrY@jntp> |
| In reply to | #337030 |
Le 06/08/2024 à 00:35, Jim Burns a écrit : > On 8/5/2024 3:21 PM, WM wrote: >> Le 05/08/2024 à 02:24, Moebius a écrit : > >>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x (false) . >> >> ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true. > > ¬∃u ∈ ⅟ℕ: ∀x > 0: u < x Right. But with NUF(x) = 1 ==> INVNUF(1) = x we get ∃u ∈ ⅟ℕ, u < x, ∀y > x = INVNUF(1). Regards, WM
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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Date | 2024-08-06 08:38 -0400 |
| Message-ID | <09a225c0-20ef-45b4-a468-3f5d88cc6671@att.net> |
| In reply to | #337039 |
On 8/6/2024 4:35 AM, WM wrote: > Le 06/08/2024 à 00:35, Jim Burns a écrit : >> On 8/5/2024 3:21 PM, WM wrote: >>> Le 05/08/2024 à 02:24, Moebius a écrit : >>>> ∃^ℵ₀ u ∈ ⅟ℕ: ∀x > 0: u < x (false) . >>> >>> ∃^NUF(x) u ∈ ⅟ℕ: ∀x > 0: u < x true. >> >> ¬∃u ∈ ⅟ℕ: ∀x > 0: u < x > > Right. But with > NUF(x) = 1 ==> INVNUF(1) = x > we get > > ∃u ∈ ⅟ℕ, u < x, ∀y > x = INVNUF(1). material conditional ⇒ means p q p⇒q ¬p∨q T T T T f T T T T f f f f f T T NUF(x) = 1 ⇒ INVNUF(1) = x means NUF(x) ≠ 1 ∨ INVNUF(1) = x Because NUF(x) ≠ 1 is true everywhere NUF(x) = 1 ⇒ INVNUF(1) = x is true everywhere However, its truth doesn't imply INVNUF(1) exists.
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-08-06 13:55 +0000 |
| Message-ID | <qciPgvbc9SEVjnSIFT863XWfNcw@jntp> |
| In reply to | #337046 |
Le 06/08/2024 à 14:38, Jim Burns a écrit : > On 8/6/2024 4:35 AM, WM wrote: > NUF(x) ≠ 1 > is true everywhere > NUF(x) = 1 ⇒ INVNUF(1) = x > is true everywhere > However, > its truth doesn't imply INVNUF(1) exists. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its existence. Regards, WM
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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Date | 2024-08-06 12:33 -0400 |
| Message-ID | <1c55ae2d-09e3-4eb0-b5f1-c64e82fcdcea@att.net> |
| In reply to | #337052 |
On 8/6/2024 9:55 AM, WM wrote: > Le 06/08/2024 à 14:38, Jim Burns a écrit : >> NUF(x) ≠ 1 >> is true everywhere >> NUF(x) = 1 ⇒ INVNUF(1) = x >> is true everywhere >> However, >> its truth doesn't imply INVNUF(1) exists. > > ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 > implies its existence. No. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its NONexistence. | Assume x₁ exists: NUF(x₁) = 1 | ⅟n is the one unit.fraction in (0,x₁) | 0 < ⅟n < x₁ | | However, | ∀n ∈ ℕ: ⅟n - ⅟(n+1) > 0 | 0 < ⅟(n+1) < ⅟n < x₁ | NUF(x₁) > 1 | Contradiction. Therefore, there is no x₁: NUF(x₁) = 1 ∀ᴿx: NUF(x) ≠ 1
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-08-07 12:31 +0000 |
| Message-ID | <pyUmzd7NFcFVf13MskVz5J6ZFWM@jntp> |
| In reply to | #337054 |
Le 06/08/2024 à 18:33, Jim Burns a écrit : > On 8/6/2024 9:55 AM, WM wrote: >> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 >> implies its existence. > > No. > ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 > implies its NONexistence. Do you agree that all unit fractions with no exception have gaps on the real line? Regards, WM
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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Date | 2024-08-07 14:03 -0400 |
| Message-ID | <dc6ab75f-e7fd-4e39-83a7-2a04c4155d21@att.net> |
| In reply to | #337074 |
On 8/7/2024 8:31 AM, WM wrote: > Le 06/08/2024 à 18:33, Jim Burns a écrit : >> On 8/6/2024 9:55 AM, WM wrote: >>> Le 06/08/2024 à 14:38, Jim Burns a écrit : >>>> NUF(x) ≠ 1 >>>> is true everywhere >>>> NUF(x) = 1 ⇒ INVNUF(1) = x >>>> is true everywhere >>>> However, >>>> its truth doesn't imply INVNUF(1) exists. >>> >>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 >>> implies its existence. >> >> No. >> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 >> implies its NONexistence. > > Do you agree that > all unit fractions with no exception > have gaps on the real line? Each unit fraction ⅟n has, for n ≠ 1, a gap between ⅟n and ⅟(n-1) a gap between ⅟n and ⅟(n+1) and a gap between ⅟(n+1) and ⅟(n+2) thus NUF(⅟n) > 1 ⅟n ≠ INNUF(1) Each unit fraction ⅟n ≠ INVNUF(1) Finite doesn't need to be small. Finite can be big compared to Avogadroᴬᵛᵒᵍᵃᵈʳᵒ and, if it shares finiteness.properties with 1 and with Avogadroᴬᵛᵒᵍᵃᵈʳᵒ, it is finite. Infinite is beyond all finites, even big.finites. Infinite does not have finiteness.properties.
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| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-08-07 20:15 +0200 |
| Message-ID | <v90dk4$38nhr$1@dont-email.me> |
| In reply to | #337080 |
Am 07.08.2024 um 20:03 schrieb Jim Burns: > On 8/7/2024 8:31 AM, WM wrote: >> Do you agree that >> all unit fractions with no exception >> have gaps on the real line? For WM this fact "implies" that there is a first/smallest unit fraction. :-) "∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its existence." (WM) This idiot is not able to comprehend that (1) (1/n - 1/(n+1))_(n e IN) is a null sequence and (2) SUM_(n=1..oo) 1/n - 1/(n+1) = 1. <facepalm>
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-08-07 18:55 +0000 |
| Message-ID | <Jg7PP28XE3jufZFsd6JadyO2FCE@jntp> |
| In reply to | #337081 |
Le 07/08/2024 à 20:15, Moebius a écrit : > Am 07.08.2024 um 20:03 schrieb Jim Burns: >> On 8/7/2024 8:31 AM, WM wrote: > >>> Do you agree that >>> all unit fractions with no exception >>> have gaps on the real line? > > For WM this fact "implies" that there is a first/smallest unit fraction. Of course. Never two can be added simultaneously to NUF(x) > > "∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its existence." (WM) > > (1) (1/n - 1/(n+1))_(n e IN) > is a null sequence Nevertheless no unit fractions are without gap to their neighbours. Regards, WM
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| From | FromTheRafters <FTR@nomail.afraid.org> |
|---|---|
| Date | 2024-08-07 17:16 -0400 |
| Message-ID | <v90o6u$3c8vo$1@dont-email.me> |
| In reply to | #337088 |
WM brought next idea : > Le 07/08/2024 à 20:15, Moebius a écrit : >> Am 07.08.2024 um 20:03 schrieb Jim Burns: >>> On 8/7/2024 8:31 AM, WM wrote: >> >>>> Do you agree that >>>> all unit fractions with no exception >>>> have gaps on the real line? >> >> For WM this fact "implies" that there is a first/smallest unit fraction. > > Of course. Never two can be added simultaneously to NUF(x) >> >> "∀n ∈ ℕ: 1/n - 1/(n+1) > 0 implies its existence." (WM) >> >> (1) (1/n - 1/(n+1))_(n e IN) is a null sequence > > Nevertheless no unit fractions are without gap to their neighbours. In the rationals.
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-08-07 18:51 +0000 |
| Message-ID | <ITBmjNVf2G_SL39f_-nN-t9i_zU@jntp> |
| In reply to | #337080 |
Le 07/08/2024 à 20:03, Jim Burns a écrit : > On 8/7/2024 8:31 AM, WM wrote: >> Do you agree that >> all unit fractions with no exception >> have gaps on the real line? > > Each unit fraction ⅟n has, > for n ≠ 1, a gap between ⅟n and ⅟(n-1) > a gap between ⅟n and ⅟(n+1) and > a gap between ⅟(n+1) and ⅟(n+2) > thus Never more than one unit fraction can be added simultaneously to NUF(x). Regards, WM
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| From | "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> |
|---|---|
| Date | 2024-08-07 12:11 -0700 |
| Message-ID | <v90gsg$39pqf$1@dont-email.me> |
| In reply to | #337087 |
On 8/7/2024 11:51 AM, WM wrote: > Le 07/08/2024 à 20:03, Jim Burns a écrit : >> On 8/7/2024 8:31 AM, WM wrote: > >>> Do you agree that >>> all unit fractions with no exception >>> have gaps on the real line? >> >> Each unit fraction ⅟n has, >> for n ≠ 1, a gap between ⅟n and ⅟(n-1) >> a gap between ⅟n and ⅟(n+1) and >> a gap between ⅟(n+1) and ⅟(n+2) >> thus > > Never more than one unit fraction can be added simultaneously to NUF(x). lol. So, I take it that you are not all that familiar with the word, "all", ?
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