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Re: Contradiction of bijections as a measure for infinite sets

From Richard Damon <richard@damon-family.org>
Newsgroups sci.math
Subject Re: Contradiction of bijections as a measure for infinite sets
Date 2024-03-25 07:29 -0400
Organization i2pn2 (i2pn.org)
Message-ID <utrn6f$306go$2@i2pn2.org> (permalink)
References <qHqKnNhkFFpow5Tl3Eiz12-8JEI@jntp> <VYLp-BjAIbWT-h39YGH1pWjyXGI@jntp> <utq4q4$2u605$1@i2pn2.org> <-9xAsJMpAXWkCfndazaDuvQh1ZQ@jntp>

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On 3/25/24 7:15 AM, WM wrote:
> Le 24/03/2024 à 22:09, Richard Damon a écrit :
>> On 3/24/24 4:11 PM, WM wrote:
>>>
>>> Does ℕ = {1, 2, 3, ...} contain all natural numbers such that none 
>>> can be added?
>>>
>>> If so, then the bijection of ℕ with E = {2, 4, 6, ...} would prove 
>>> that both sets have the same number of elements. Then the completion 
>>> of E resulting in E = {1, 2, 3, 4, 5, 6, ...} would double the number 
>>> of its elements. Then there are more natural numbers than were 
>>> originally in ℕ.
>>>
>>
>> Yep, because "infinity" just doesn't obey the logic you are used to
> 
> Then do not talk about a bijection. A bijection between thwo sets proves 
> that one of both sets has not one element more nor less than the other!

Nope, it proves they have the same size.

For FINITE sets (which is all your logic handles) that is the same 
"number" of elements, but not for infinite sets.

>>
>> Turns out that aleph0 = aleph0 - 1, = aleph0 + 1 = aleph0 / 2 =
>>     aleph0 * 2 = aleph0 ^ 2 = square root (aleph0)
> 
> This shows that card is in contradiction with basic logic.

Nope, it shows that YOUR logic is not UNIVERSALLY VALID as you try to claim.

>>
>> despite that breaking most of you concepts of the logic of numbers.
> 
> It breaks the definition of bijection. Note: A bijection between thwo 
> sets proves that one of both sets has not one element more nor less than 
> the other!
> 

Nope, the definition of Bijection shows that the two sets have the same 
size. "Size" of an infinite set isn't a normal "number" if the set is 
"infinite".

> Regards, WM
> 
> 

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V WM <wolfgang.mueckenheim@tha.de> - 2024-03-24 20:00 +0000
  Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-24 13:11 -0700
    Re: V WM <wolfgang.mueckenheim@tha.de> - 2024-03-24 20:13 +0000
      Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-24 13:16 -0700
        Re: V WM <wolfgang.mueckenheim@tha.de> - 2024-03-24 20:20 +0000
          Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-24 14:33 -0700
            Re: V WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 11:23 +0000
              Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-25 20:40 -0700
                Re: V WM <wolfgang.mueckenheim@tha.de> - 2024-03-26 13:11 +0000
                Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-26 12:56 -0700
                Re: V WM <wolfgang.mueckenheim@tha.de> - 2024-03-27 13:50 +0000
                Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-27 13:49 -0700
                Re: V WM <wolfgang.mueckenheim@tha.de> - 2024-03-28 19:53 +0000
                Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-28 13:31 -0700
                Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-28 13:34 -0700
                Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-26 13:00 -0700
                Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-26 13:19 -0700
                Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-26 13:29 -0700
          Re: V "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-24 14:37 -0700
  Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-24 20:11 +0000
    Re: Contradiction of bijections as a measure for infinite sets Dieter Heidorn <d.heidorn@t-online.de> - 2024-03-24 22:02 +0100
      Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 11:10 +0000
        Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-25 07:25 -0400
          Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 21:45 +0000
        Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-25 15:38 -0400
          Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 22:01 +0000
          Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 22:11 +0000
            Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-25 20:04 -0400
              Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-25 21:43 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-26 11:40 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-27 13:38 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-27 14:54 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-28 20:07 +0000
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-28 13:33 -0700
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-29 09:29 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-30 16:01 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-30 13:47 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-31 12:15 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-31 14:18 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-01 15:37 +0000
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-04-01 13:30 -0400
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-01 19:03 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-02 07:36 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-02 13:51 -0400
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-02 22:52 +0200
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-02 17:40 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-02 15:06 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-02 19:25 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-02 20:52 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-03 09:13 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-03 19:13 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-04 15:01 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-04 20:28 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-05 14:04 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-05 19:37 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-06 09:31 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-06 08:42 -0700
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-03 01:14 +0200
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-03 13:32 +0000
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-04-03 11:59 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-03 19:43 -0700
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-03 20:06 -0700
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-04-05 08:48 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-04 09:33 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-04 08:19 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-04 13:07 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-04 09:22 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-05 08:56 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-05 07:32 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-05 19:30 -0700
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-04-04 15:40 +0200
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-04-05 08:57 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-06 13:26 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-06 09:40 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-06 13:55 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-06 09:58 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-06 19:40 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-06 16:03 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-07 08:32 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-07 07:16 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-07 13:23 +0000
                how Richard Damon <richard@damon-family.org> - 2024-04-07 13:56 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-08 13:44 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-08 19:22 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-09 12:16 +0000
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-09 16:00 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-09 16:02 -0700
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-09 19:06 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-10 18:03 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-10 19:04 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-11 12:03 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-11 18:32 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 13:40 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-12 09:58 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 14:37 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-12 10:56 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-10 20:14 +0000
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-10 18:47 -0400
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-10 19:05 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-11 12:07 +0000
                Re: how Jim Burns <james.g.burns@att.net> - 2024-04-11 13:36 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 13:18 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 15:56 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 14:32 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 16:38 +0200
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 16:40 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 14:44 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-12 10:57 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 15:22 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 17:43 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-12 11:47 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 16:35 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-12 12:58 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-13 12:23 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-13 08:59 -0400
                Re: how Hayward Böhm Geissler <red@yiwra.de> - 2024-04-13 15:41 +0000
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-12 13:14 -0700
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 17:00 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 15:26 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 17:51 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 16:40 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 18:44 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-12 13:16 -0700
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-12 18:22 -0400
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-13 12:12 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-12 13:04 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-12 13:03 -0700
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 23:51 +0200
                Re: how Jim Burns <james.g.burns@att.net> - 2024-04-12 14:57 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-13 12:35 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-13 09:05 -0400
                Re: how Jim Burns <james.g.burns@att.net> - 2024-04-13 15:16 -0400
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-11 21:16 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 13:45 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-12 10:02 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 14:40 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-12 11:01 -0400
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-12 13:19 -0700
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 22:31 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-12 13:46 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-10 18:16 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-03 19:48 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-04 09:43 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-04 13:03 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-05 09:06 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-05 15:03 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-06 13:44 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-06 13:49 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-06 19:49 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-07 17:47 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-08 13:55 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-08 21:54 -0400
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-09 04:48 +0200
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-09 23:46 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-09 12:22 +0000
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-04-09 14:47 +0200
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-09 15:03 +0200
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-04-09 17:15 +0200
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-09 18:44 +0200
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-09 15:49 -0700
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-09 15:04 +0200
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-09 16:27 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-10 17:57 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-10 16:13 -0400
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-10 17:39 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-11 11:16 -0400
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-09 18:42 -0400
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-09 15:59 -0700
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-10 05:37 +0200
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-10 11:47 -0700
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-09 15:47 -0700
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-31 13:20 -0700
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-27 20:52 -0400
              Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-26 13:24 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-26 13:04 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-27 13:46 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-27 15:10 -0400
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-27 13:57 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-27 18:50 -0400
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-26 21:19 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-27 13:57 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-27 20:57 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-28 20:00 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-29 09:31 -0400
    Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-24 17:09 -0400
      Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 11:15 +0000
        Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-25 07:29 -0400
          Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 21:49 +0000
    Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-24 17:10 -0400
      Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 11:20 +0000
        Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-25 14:31 -0400
          Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-25 21:53 +0000
            Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-25 18:49 -0400
              Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-26 13:18 +0000
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-26 09:39 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-26 13:47 +0000
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-26 14:04 -0400
                Re: Contradiction of bijections as a measure for infinite sets Phil Carmody <pc+usenet@asdf.org> - 2024-03-26 23:12 +0200
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-26 17:40 -0400
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-26 19:43 -0700
                Re: Contradiction of bijections as a measure for infinite sets Phil Carmody <pc+usenet@asdf.org> - 2024-03-27 13:35 +0200
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-27 13:48 +0000
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-27 11:23 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-27 21:50 +0000
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-27 19:37 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-28 19:55 +0000
                Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-03-28 18:11 -0400
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-29 13:05 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-30 16:05 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-30 13:48 -0400
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-27 20:59 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-28 19:57 +0000
                Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-03-29 13:07 -0400
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-28 17:25 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-28 21:40 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-28 18:30 -0400
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-28 17:54 -0700
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-28 18:00 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-29 05:46 -0400
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-29 15:53 -0700
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-29 15:13 +0100
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-29 15:52 -0700
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-30 00:29 +0100
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-29 16:31 -0700
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-30 09:56 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-30 16:17 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-30 15:04 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-31 12:20 +0000
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-31 15:19 +0200
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-31 08:10 -0700
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-31 17:31 +0200
                Re: Contradiction of bijections as a measure for infinite sets Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-31 14:10 -0700
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-31 17:38 +0200
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-31 13:38 -0400
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-31 15:37 -0400
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-03-31 15:43 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-01 15:34 +0000
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-01 20:11 +0200
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-01 20:14 +0200
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-01 14:34 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-02 07:32 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-02 11:35 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-03 13:29 +0000
                Re: Contradiction of bijections as a measure for infinite sets Jim Burns <james.g.burns@att.net> - 2024-04-03 17:07 -0400
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-30 16:09 +0000
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-03-31 19:14 +0200
                Re: Contradiction of bijections as a measure for infinite sets "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-31 13:22 -0700
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-01 15:30 +0000
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-01 20:26 +0200
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-01 22:41 +0200
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-29 15:09 +0100
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-29 17:31 +0100
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-03-31 19:17 +0200
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-31 19:37 +0200
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-31 19:44 +0200
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-03-30 16:24 +0000
                Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-03-30 17:37 +0100
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-03-31 03:57 +0200
                Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-05 22:07 +0200
                Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-06 13:47 +0000
    Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-03-30 23:53 +0100
      Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-01 15:04 +0000
        Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-01 20:37 +0200
          Re: Contradiction of bijections as a measure for infinite sets Tom Bola <Tom@bolamail.etc> - 2024-04-01 20:47 +0200
            Re: Contradiction of bijections as a measure for infinite sets Moebius <moebius@example.invalid> - 2024-04-01 20:52 +0200
  Re: V FromTheRafters <FTR@nomail.afraid.org> - 2024-03-24 17:03 -0400
    Re: V Dieter Heidorn <d.heidorn@t-online.de> - 2024-03-24 22:09 +0100
      Re: V FromTheRafters <FTR@nomail.afraid.org> - 2024-03-24 17:18 -0400

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