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Groups > sci.math > #630014

Re: Replacement of Cardinality

From Jim Burns <james.g.burns@att.net>
Newsgroups sci.logic, sci.math
Subject Re: Replacement of Cardinality
Date 2024-08-05 18:19 -0400
Organization A noiseless patient Spider
Message-ID <b27e0f43-9dfd-4bfb-a407-12c9d23e6d8f@att.net> (permalink)
References (6 earlier) <vpb42BOZYYy79eBYzCXpUbsjGQc@jntp> <f5086d19-ab91-429a-9dfe-2325e56c97a4@att.net> <6WIT-GYNvuMQ6ADdNvBdVKBkQ1c@jntp> <14c93f38-c155-44fe-a6ba-d0f143b374cc@att.net> <X_M4Fh6ty-vEi1nwWkFJ9udvMEg@jntp>

Cross-posted to 2 groups.

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On 8/5/2024 3:04 PM, WM wrote:
> Le 04/08/2024 à 22:16, Jim Burns a écrit :
>> On 8/4/2024 2:13 PM, WM wrote:

>>> More of interest are these two claims which are
>>> not both true or both false:
>>> For every x there is u < x.
>>> There is u < x for every x.
>>> The latter is close to my function:
>>> There are NUF(x) u < x.
>
>>  From ∀x∃U to ∃U∀x is unreliable,
>
> There is no from to.
> NUF(x) is so defined.

NUFᵉᵃᶜʰ  :=  |{u∈⅟ℕᵈᵉᶠ: u <ᵉᵃᶜʰ ℝ⁺}|
NUFᵈᵉᶠ(x)  :=  |{u∈⅟ℕᵈᵉᶠ: u < x}|

∀v ∈ ⅟ℕᵈᵉᶠ:
⎛ ¬(v < u/2 ∈ ℝ⁺)
⎜ ¬(v <ᵉᵃᶜʰ ℝ⁺)
⎝ ¬(v ∈ {u∈⅟ℕᵈᵉᶠ: u <ᵉᵃᶜʰ ℝ⁺})

NUFᵉᵃᶜʰ = |{}| = 0

⅟ℕᵈᵉᶠ∩(0,1] is maximummed.
⅟ℕᵈᵉᶠ∩(0,x) is maximummed.

⅟ℕᵈᵉᶠ∩(0,1] is down.stepped.
⅟ℕᵈᵉᶠ∩(0,x) is down.stepped.

⅟ℕᵈᵉᶠ∩(0,1] is non.max.up.stepped.
⅟ℕᵈᵉᶠ∩(0,x) is non.max.up.stepped.

⅟ℕᵈᵉᶠ∩(0,1] is ℵ₀.many.
⅟ℕᵈᵉᶠ∩(0,x) is ℵ₀.many.

NUF(1) = ℵ₀
NUF(x) = ℵ₀

> For every number of unit fractions
> NUF(x) gives the smallest interval (0, x).

For  each real x > 0
for each finite cardinal k > 0
there is a finite.unit.fraction uₖ such that
|⅟ℕᵈᵉᶠ∩[uₖ,x)| = k
uₖ = ⅟⌊k+⅟x⌋

For  each x > 0
for each finite cardinal k > 0
there is a finite.unit.fraction uₖ such that
|⅟ℕᵈᵉᶠ∩[uₖ,x)| = k
⅟(1+⅟uₖ) ∈ ⅟ℕᵈᵉᶠ∩(0,uₖ)
k < |⅟ℕᵈᵉᶠ∩(0,x)|

For  each x > 0
for each finite number k
k ≠ |⅟ℕᵈᵉᶠ∩(0,x)|

For  each x > 0
⅟ℕᵈᵉᶠ∩(0,x) is not finite.

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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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