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Re: how

From Richard Damon <richard@damon-family.org>
Newsgroups sci.math
Subject Re: how
Date 2024-04-23 21:57 -0400
Organization i2pn2 (i2pn.org)
Message-ID <v09oto$222fd$3@i2pn2.org> (permalink)
References (6 earlier) <x_NkVA7tC4PbuDHgWd_lI0r3UuA@jntp> <v012ji$1m94d$4@i2pn2.org> <MhMKLiWFUW2BGqeHumLSqLhBo1I@jntp> <v06q93$1uk1v$3@i2pn2.org> <nCXa_CknrynW47fF33CqWnTnEn0@jntp>

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On 4/23/24 2:42 PM, WM wrote:
> Le 23/04/2024 à 01:01, Richard Damon a écrit :
>> On 4/22/24 10:15 AM, WM wrote:
> 
>>> The results cannot be compressed to the interval (0, ω) of the set { 
>>> 1, 2, 3, ...}. This shows that new numbers are generated by 
>>> multiplication.
>>>
>> Of course they can be compressed into the interval (0, ω), as every 
>> finite number n < ω, when doubled results in a finite number 2n which 
>> is also < ω.
> 
> Try to map the closed interval [0, ω]*2 = [0, ω*2].
> If [0, ω) --> [0, ω) and ω*2 --> ω*2, then ω*2 is the only image point 
> in (ω, ω*2]. Infinitely points many remain empty. Crippled mathematics. 
> Ugly. Inacceptable.

But true. Since the interval [0, ω] contains two different classes of 
values (all the finite ordianl natural numbers, and then one transfinite 
ordinal value) it makes sense that the result will have two classes of 
values, and they may behave differently.


so:

[0, ω]*2 = { [0, ω), ω }*2 -> { [0, w), 2ω }

using the fact that the Natural Numbers are closed under multiplication.

> 
> Regards, WM
> 
> 
> 
> 
>>
>> Name one that can't be!
>>
>> Your logic just blows you up because it doesn't understand the nature 
>> of unbounded infinite sets.
>>
>> You invent "dark" numbers, because you can't look at the nature of the 
>> unbounded because you are blinded by your finite logic that has blown 
>> your logic to smiterines because you used it when it can't work.
> 
> 

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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
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                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: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-07 13:22 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 14:40 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-08 13:20 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 17:14 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-09 12:56 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-09 18:55 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-09 18:45 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-10 06:59 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-10 13:12 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-10 18:26 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-10 17:17 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 04:18 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 06:38 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 10:40 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 08:47 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 15:24 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 14:05 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 14:44 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 16:11 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 19:47 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 18:17 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 18:44 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-12 11:08 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-12 13:46 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-12 11:21 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-12 12:34 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-13 00:11 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-13 13:22 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-13 13:43 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-14 13:15 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-15 10:10 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 19:25 -0400
                Re: universal quantification, because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-11 07:02 -0400
                Re: universal quantification, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 06:44 -0700
                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 WM <wolfgang.mueckenheim@tha.de> - 2024-05-08 19:55 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 17:55 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 02:27 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 02:54 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 03:11 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-10 12:24 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 21:14 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 02:35 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 02:42 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 21:14 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-10 12:31 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-10 12:18 +0000
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-10 10:59 -0400
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-13 20:21 +0000
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-13 18:47 -0400
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-14 11:10 +0000
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-14 10:15 -0400
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-15 13:13 +0000
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-13 16:32 -0700
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-14 11:15 +0000
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-14 16:26 +0200
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-14 17:24 +0200
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-15 13:18 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-10 14:56 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-10 21:34 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-10 19:44 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-11 05:00 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-11 05:32 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 14:49 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 17:01 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-11 05:26 +0200
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-13 20:31 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-13 20:27 +0000
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-13 16:33 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-10 13:31 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-10 13:37 -0700
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-10 17:25 -0400

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