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Re: Contradiction of bijections as a measure for infinite sets

From Jim Burns <james.g.burns@att.net>
Newsgroups sci.math
Subject Re: Contradiction of bijections as a measure for infinite sets
Date 2024-03-27 18:50 -0400
Organization A noiseless patient Spider
Message-ID <d2ded6b7-6263-493e-baa2-161beead18d6@att.net> (permalink)
References (7 earlier) <g6jgCCPG46WwxWWmUsJBfZJ-Oes@jntp> <6ff80273-a354-4b24-939e-9d6d0f78da2e@att.net> <ZchqmHBpN-mW9_jDBw0b7xCD-iI@jntp> <c6b909fd-133c-4076-b31b-115a53f90a98@att.net> <uu218h$31us4$7@dont-email.me>

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On 3/27/2024 4:57 PM, Chris M. Thomasson wrote:
> On 3/27/2024 12:10 PM, Jim Burns wrote:
>> On 3/27/2024 9:46 AM, WM wrote:
>>> Le 26/03/2024 à 17:04, Jim Burns a écrit :
>>>> On 3/26/2024 9:24 AM, WM wrote:
>>>>> Le 26/03/2024 à 01:04, Jim Burns a écrit :

>>>>>> ℕ and 𝔼 aren't sets for which
>>>>>> changing by one element changes the set's size.
>>
>>> All + 1 is more than all.
>>
>>> There are not two
>>> consecutive infinite sets in ℕ possible.
>>
>> Infiniteᵂᴹ is only
>> really.really.humongously finiteⁿᵒᵗᐧᵂᴹ
>>
>> ℕ can't be any size such that
>> size+1 > size
>> because
>> N holds a finiteⁿᵒᵗᐧᵂᴹ ordinal larger than that size.
>>
>> Therefore,
>> size(ℕ)+1 = size(ℕ)
>
> ℕ + 1 = ℕ

|ℕ| + 1 = |ℕ|

> So
> adding one to the set of all natural numbers
> means
> that number was already there,
> therefore it equals itself?

The set of all natural number being
the set of all natural numbers
means that
that natural number was already there.

Inserting NaN into ℕ yields ℕ∪{NaN}

|ℕ∪{NaN}| ≤ |ℕ|

...which means
1.to.1.map  f: ℕ∪{NaN} ⇉ ℕ  exists

...which it does
f(NaN)  =  0
f(j)  =  j+1  otherwise

Also
|ℕ| ≤ |ℕ∪{NaN}|

f⁻¹: ℕ ⇉ ℕ∪{NaN}
f⁻¹(0)  =  NaN
f⁻¹(k)  =  k-1

Thus,
|ℕ∪{NaN}| = |ℕ|

Define
|ℕ|+1  :=  |ℕ∪{NaN}|


|ℕ|+1  =  |ℕ|

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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 WM <wolfgang.mueckenheim@tha.de> - 2024-04-14 19:05 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-14 15:19 -0400
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-14 18:25 -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 WM <wolfgang.mueckenheim@tha.de> - 2024-04-14 19:07 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-14 15:23 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-15 11:47 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-15 14:54 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 14:24 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-15 18:38 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 14:59 +0000
                Re: how Jim Burns <james.g.burns@att.net> - 2024-04-13 15:16 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-14 19:12 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-14 22:17 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-15 11:53 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-15 15:00 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-15 12:22 -0700
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-15 22:13 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-15 15:45 -0700
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 01:44 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-15 18:47 -0700
                Re: how Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-04-16 01:35 +0100
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 15:05 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 18:14 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 14:27 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 18:09 +0200
                Re: how Jim Burns <james.g.burns@att.net> - 2024-04-14 16:39 -0400
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-14 20:38 -0700
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-15 11:59 +0000
                Re: how Jim Burns <james.g.burns@att.net> - 2024-04-15 17:06 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 14:33 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 18:11 +0200
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-15 23:35 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 14:38 +0000
                Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-14 08:40 -0700
                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> - 2024-04-13 23:15 -0700
                Re: Contradiction of bijections as a measure for infinite sets Dieter Heidorn <d.heidorn@t-online.de> - 2024-04-14 14:35 +0200
                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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