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Groups > sci.math > #630083

Re: Replacement of Cardinality (real-valued)

From Jim Burns <james.g.burns@att.net>
Newsgroups sci.logic, sci.math
Subject Re: Replacement of Cardinality (real-valued)
Date 2024-08-07 16:06 -0400
Organization A noiseless patient Spider
Message-ID <a4af3e21-fa0b-40de-9d1f-e77b7fea976b@att.net> (permalink)
References (13 earlier) <pKqcnTZhHeVzSDP7nZ2dnZfqnPudnZ2d@giganews.com> <v8nlsp$nh2$1@dont-email.me> <UN-dnYpeY6DnCDL7nZ2dnZfqnPqdnZ2d@giganews.com> <UN-dnYVeY6CVCjL7nZ2dnZfqnPoAAAAA@giganews.com> <prWcnbZXxt7cPzL7nZ2dnZfqn_ednZ2d@giganews.com>

Cross-posted to 2 groups.

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On 8/4/2024 11:46 AM, Ross Finlayson wrote:
> On 08/04/2024 07:59 AM, Ross Finlayson wrote:
>> On 08/04/2024 07:52 AM, Ross Finlayson wrote:
>>> On 08/04/2024 03:41 AM, FromTheRafters wrote:

>>>> [...]
>>> [...]
>> [...]
>
> It's kind of like when people say
> "hey you know the initial ordinal assignment is
> what we can say 'are' cardinals",

For each equivalence relation '#' on a class A
there is a family A/# of partitions of A

[x] and [y] are the partitions holding x and y

[x] = {u e A: u # x}
[y] = {u e A: u # y}

Any element of [x] serves equally well as
a representative of the partition holding x
[x] = [y]  ⇔  x # y

We somewhat.arbitrarily assign initial ordinal ξ
to be the One True Representative of
the partition [ξ] of sets A = |ξ|

The initial ordinal has a certain elegance.
Being ordinals, any ordinal means an initial ordinal.
But for any set A = |ξ|, [A] = [ξ]
and A serves as a representative just as well.

⎛ The axiom of choice is equivalent to
⎝ each partition [A] holds an ordinal.

> then it's like,
> "with the Continuum Hypothesis being undecide-able and all,
> then there are and aren't ordinals between
> what would be those cardinals by their cardinals the ordinals",

We have a description of sets, the ZFC axioms.
In some domains satisfying that description,
the continuum hypothesis is true.
In some domains satisfying that description,
the continuum hypothesis is false.

Therefore,
the ZFC axioms aren't enough to decide
the continuum hypothesis.

> sort of establishing that
> such a definition does and doesn't
> keep itself non-contradictory,

No, that is not established.

A theory describes more than one model.

Some claims have proofs.
Those claims are true in each model.

Some claims are true in each model.
Those claims have proofs.
(That is a very nice result, maybe not super.obvious.)

True.and.false in different models
does not make a theory contradictory.
The theory is silent, not wrong.

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Thread

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

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