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| Message-ID | <OJ0eBp2VkSwNdnmN_mxRXcUbZWI@jntp> (permalink) |
|---|---|
| Subject | Re: Contradiction of bijections as a measure for infinite sets |
| References | <qHqKnNhkFFpow5Tl3Eiz12-8JEI@jntp> <VYLp-BjAIbWT-h39YGH1pWjyXGI@jntp> <l6binqF7ljpU1@mid.individual.net> |
| Newsgroups | sci.math |
| Date | 2024-03-25 11:10 +0000 |
| Organization | Nemoweb |
| From | WM <wolfgang.mueckenheim@tha.de> |
Le 24/03/2024 à 22:02, Dieter Heidorn a écrit :
> WM schrieb:
>>
>> Does ℕ = {1, 2, 3, ...} contain all natural numbers such that none
>> can be added?
>>
> Sure
Of course.
>
> But you can do the following described by Cantor:
Irrelevant. Important is only this: You cannot add a natural number to the
set ℕ.
>
>> If so, then the bijection of ℕ with E = {2, 4, 6, ...} would prove
>> that both sets have the same number of elements.
>
> Infinite sets don't have a "number of elements".
This cannot be denied: A bijection, if really existing, proves that one of
both sets has not one element more nor less than the other!
>
> And indeed: there is a bijection from the set of natural numbers ℕ
> to the set of even natural numbers 𝔼 = {2, 4, 6, ..}.
>
> f: ℕ → 𝔼 , n ↦ 2n
>
> This function is both injective (or one-to-one) and surjective (or
> onto), thus it is bijective.
If so, that would result in: The set 𝔼 has not one element more nor
less than the set ℕ.
>
>> 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.
>
> Rubbish. The cardinality of an infinite set is described by an
> transfinite cardinal number and not by a finite "number of elements".
Here we do not use the rubbish of cardinality but the definition of
bijection proving that one of both sets has not one element more or less
than the other!
> Your problem is: You try to apply facts,
I apply logic which is universally valid.
If the set 𝔼 = {2, 4, 6, ..} has not one element more or less than the
set ℕ = {1, 2, 3, ...}, then adding an element to 𝔼 destroys this
state.
> that hold for finite sets,
> on infinite sets. That doesn't work.
Your problem is you deny logic which is universally valid.
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 "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> - 2024-04-12 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 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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