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Groups > sci.math > #626986

Re: how

From Richard Damon <richard@damon-family.org>
Newsgroups sci.math
Subject Re: how
Date 2024-04-18 18:42 -0400
Organization i2pn2 (i2pn.org)
Message-ID <uvs7k8$1h01f$5@i2pn2.org> (permalink)
References (6 earlier) <LUy8jnMOftjltS3mdpX3WN5LLNg@jntp> <uvn1hl$1arkt$1@i2pn2.org> <FRTfqq_z2PHTFM_G-AaKQuOXTiQ@jntp> <uvpk8m$1doq3$1@i2pn2.org> <8nAwOP_dNTnKX2uwIwDAqJz8Sxo@jntp>

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On 4/18/24 10:59 AM, WM wrote:
> Le 18/04/2024 à 00:59, Richard Damon a écrit :
>> On 4/17/24 2:49 PM, WM wrote:
> 
>>> The size of ℕ is |ω|. That means ℕ extends on the ordinal line from 0 
>>> to ω. By multiplying every natural number the extendion is doubled. 
>>> That is mathematics. Every contrary opinion is foolish.
>>
>> Nope, the size of ℕ, that is |ℕ| is aleph_0. ω is an ORDINAL number
> 
> on the ordinal axis beyond all natural numbers with nothing else before it.
> ℵo = |ℕ| = |ω|.
> 
>> (showing order), not a cardinal number (showing size). This means that 
>> the first transfinite ordinal above the set ℕ would be the value ω. So 
>> yes, as you say below, there are no "finite" numbers between the set ℕ 
>> and the value ω, but since ℕ has no "highest" member there is no 
>> "predecessor" to ω, just as there is no predecessor to 0 in the 
>> Natural Numbers.
> 
> Nonsense.
> ω follows upon all natural numbers. There is nothing between them and ω.
> 
> Regards, WM
> 
> 
> 


Right, and any Natural Number * 2 is a Natural Number, so less than ω.

Your logic can't handle the fact that the set of Natural  Numbers is 
unbounded on the high side, so it doesn't understand that.

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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
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                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
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                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-12 13:40 +0000
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                Re: how Richard Damon <richard@damon-family.org> - 2024-04-10 19:05 -0400
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                Re: how Richard Damon <richard@damon-family.org> - 2024-04-26 14:13 -0400
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 20:28 +0200
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                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-30 12:56 +0000
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                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-01 12:08 -0700
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                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 17:03 +0000
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                Re: how Richard Damon <richard@damon-family.org> - 2024-05-03 07:32 -0400
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                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 14:01 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 16:11 +0200
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                Re: how Moebius <invalid@example.invalid> - 2024-05-04 00:33 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 20:13 -0700
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                Re: how Richard Damon <richard@damon-family.org> - 2024-04-26 09:26 -0400
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 17:33 +0200
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 13:14 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 21:50 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:06 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-24 19:34 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-24 19:13 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:17 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-25 22:04 -0400
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 20:22 -0700
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 18:55 -0400
                Re: how Moebius <moebius@example.invalid> - 2024-04-21 18:07 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 15:10 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-22 18:04 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 18:58 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:35 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 20:47 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 19:06 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 21:30 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-23 14:24 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-23 14:27 -0700
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 23:27 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 20:30 -0700
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 21:52 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:09 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-24 20:22 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-24 19:13 -0400
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-19 17:44 -0400
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-19 19:32 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 16:39 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 13:05 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 18:31 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 14:47 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 14:15 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-22 16:31 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 19:01 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:42 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 20:54 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 21:57 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 19:34 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 21:45 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 19:51 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 22:03 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:01 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-24 19:40 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 19:40 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-25 21:47 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:27 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-25 22:40 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-25 22:07 -0400
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 19:37 -0700
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 22:03 -0400
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-24 06:49 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:10 +0000
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-24 14:08 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 19:51 +0000
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-25 19:03 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-26 14:32 +0000
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-26 13:53 -0400
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-25 22:08 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-26 17:06 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-26 15:10 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-27 14:54 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-27 13:38 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-30 13:00 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-30 18:50 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:23 +0000
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:12 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 22:01 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:16 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-24 19:49 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 13:07 -0700
                Re: how Moebius <moebius@example.invalid> - 2024-04-24 22:34 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 13:36 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 13:38 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 13:44 -0700
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-24 19:49 -0400
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 17:08 -0700
                Re: how Moebius <moebius@example.invalid> - 2024-04-25 02:30 +0200
                Re: how Moebius <moebius@example.invalid> - 2024-04-25 02:17 +0200
                Re: how Moebius <moebius@example.invalid> - 2024-04-25 02:40 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 17:48 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 17:49 -0700
                Re: how Moebius <moebius@example.invalid> - 2024-04-25 03:16 +0200
                Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-24 19:55 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 12:10 -0700
                Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-25 13:35 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-26 12:53 -0700
                Re: how Moebius <moebius@example.invalid> - 2024-04-25 03:10 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 12:23 -0700
                Re: how Moebius <moebius@example.invalid> - 2024-04-26 00:12 +0200
                Re: how Moebius <moebius@example.invalid> - 2024-04-26 00:14 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 19:44 -0700
                Re: how Moebius <franz.fritsche@yahoo.de> - 2024-04-30 01:12 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:06 +0000
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-26 13:01 -0700
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 23:48 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-26 18:01 -0400
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-27 00:10 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-24 19:13 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:20 +0000
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 15:01 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 15:07 -0700
                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 Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-04-16 17:38 +0100
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 18:36 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 21:48 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-17 18:37 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-17 21:38 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-17 20:30 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-17 22:55 +0200
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 01:05 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-17 19:26 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 15:05 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 17:19 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-18 18:35 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-19 15:20 +0000
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-19 13:06 -0700
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-19 22:58 +0200
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-28 16:54 -0700
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-19 19:36 -0400
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-19 21:33 -0700
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 09:10 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 16:40 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 13:09 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 18:38 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 14:48 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 14:20 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-22 19:04 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 19:04 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:45 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 22:27 -0400
                Re: how Moebius <moebius@example.invalid> - 2024-04-22 19:27 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 17:53 +0000
                Re: how Moebius <moebius@example.invalid> - 2024-04-22 20:20 +0200
                Re: how Moebius <moebius@example.invalid> - 2024-04-22 20:34 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:15 +0000
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 18:02 +0000
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-22 18:11 -0700
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:52 +0000
                Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-20 07:34 -0400
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 09:07 -0400
                Re: how Moebius <moebius@example.invalid> - 2024-04-22 19:17 +0200
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-16 19:29 -0400
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-16 20:17 -0700
                Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-16 20:19 -0700
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-17 18:52 +0000
                Re: how Richard Damon <richard@damon-family.org> - 2024-04-17 19:30 -0400
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 01:41 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 15:15 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 17:42 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 15:13 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 17:29 +0200
                Re: how Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-04-18 17:59 +0100
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 19:30 +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 WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 18:40 +0000
                Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 21:53 +0200
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-17 18:39 +0000
                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 Jim Burns <james.g.burns@att.net> - 2024-04-17 18:50 -0400
                Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 14:54 +0000
                because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-18 18:09 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-19 15:05 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-19 15:16 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 16:23 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-21 14:08 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 15:35 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-22 18:08 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 17:45 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-22 20:17 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 19:07 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-22 13:32 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 17:56 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-22 23:51 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:57 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-23 15:55 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 16:57 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-24 20:01 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 19:43 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-24 15:42 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:03 +0000
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-25 19:09 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-25 19:11 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-26 01:57 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-26 14:37 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-26 14:53 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 21:27 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-01 18:46 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-02 01:32 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-02 14:00 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-02 20:49 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-03 05:07 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 15:07 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:57 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 16:09 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 14:12 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 16:15 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 14:49 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-03 15:32 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 20:31 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 14:50 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-03 19:01 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-05 13:59 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-05 11:30 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-05 18:02 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-06 12:36 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-06 16:15 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 18:59 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-06 16:16 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 20:28 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-06 18:11 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-06 02:10 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 19:00 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-05-03 23:31 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-04 22:09 +0200
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:47 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:45 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 15:03 -0700
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:41 +0000
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 16:06 +0200
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-03 12:42 -0700
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 22:43 +0200
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-03 19:09 -0700
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-06 13:21 -0400
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-05-03 23:41 -0400
                Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 19:05 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:35 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-27 14:39 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-27 14:46 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-28 13:29 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-28 10:59 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <franz.fritsche@yahoo.de> - 2024-04-30 11:56 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <franz.fritsche@yahoo.de> - 2024-04-30 15:21 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-30 13:12 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <franz.fritsche@yahoo.de> - 2024-04-30 15:26 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <franz.fritsche@yahoo.de> - 2024-04-30 15:39 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-30 15:55 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-30 21:29 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-30 13:00 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <franz.fritsche@yahoo.de> - 2024-05-01 23:46 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-01 23:59 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:29 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how joes <noreply@example.com> - 2024-05-03 19:27 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 15:04 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-26 12:41 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-22 20:48 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-22 15:36 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-22 21:40 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-22 21:44 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-23 01:01 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-22 20:52 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-22 17:03 -0400
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-22 19:23 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-23 01:28 +0200
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-22 20:12 -0400
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-23 02:21 +0200
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-22 21:03 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 19:07 -0400
                because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-18 18:09 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-19 15:15 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-19 10:27 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-19 18:24 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 16:31 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 12:40 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 16:57 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 13:15 -0400
                Re: because g?(g?¹(x)) = g(y) [2/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-20 13:46 -0400
                Re: because g?(g?¹(x)) = g(y) [2/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 18:35 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how Moebius <moebius@example.invalid> - 2024-04-21 18:22 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 15:14 +0000
                Re: how can a person be so dumb? Moebius <moebius@example.invalid> - 2024-04-22 17:51 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-19 09:36 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [2/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-20 12:52 -0700
                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

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