Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how

From	Jim Burns <james.g.burns@att.net>
Newsgroups	sci.math
Subject	Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how
Date	2024-05-11 10:40 -0400
Organization	A noiseless patient Spider
Message-ID	<5ea7e2c8-3fa4-4a56-843c-2cec222db3ec@att.net> (permalink)
References	(16 earlier) <aAidnSzcCMwa4qP7nZ2dnZfqnPadnZ2d@giganews.com> <58fcd3ad-ba5f-43e5-83e5-364d36a05bb6@att.net> <96icnX-9Eoi7JKP7nZ2dnZfqn_idnZ2d@giganews.com> <9b151f0f-bd31-4652-a216-d769a6d36b39@att.net> <b3ednaXHZ4pH6aL7nZ2dnZfqnPudnZ2d@giganews.com>

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On 5/11/2024 9:38 AM, Ross Finlayson wrote:
> On 05/11/2024 01:18 AM, Jim Burns wrote:

>> Date: Tue, 7 May 2024 15:16:27 -0400.
>>> Are there differences in syntax between
>>> 'for.any' 'for.each' 'for.every' 'for.all' ?
>>
>> If your answer, if it ever comes, is "no",
>> then I do not know what is meant by
>>> quantifier comprehension artifacts of the extra sort
>> That looks to me like
>> quantifiers used in several domains, full stop.
>>
>> If your answer, if it ever comes, is "yes",
>> then I would like to know different how.
>> Syntax is pretty intimately entangled with semantics.
>>
>> If your answer never comes,
>> why don't I just balk and clam up, because,
>> without it, I don't have much to say.

> Now of course such a notion or idea or concept or
> pensee or thought didn't just erupt fully-formed,
> like Conrad from the tin of corned beef,
> that it starts rather more like 'for-any, or, for-all',
> about things like "for-any well-founded set, it's a set in
> the well-founded universe", then, "for-all well-founded
> or non-well-founded sets, they are sets in the set-theoretic
> universal set".
> 
> Then, it's not necessary to invoke the entire universe of
> sets, the entire domain of discourse that is anything that
> is a set, though is reasonably brief when in a theory with
> only logical sets, logically, sets of sets.
> 
> I.e., it applies as closely to "sets of sets", and the n'th order
> about quantification, and comprehension.
> 
> 
> Let's be clearly understood that I am a formalist,
> if though not a nominalist yet a platonist,
> because mathematics its truths are discovered
> not invented, while our language and terms and
> derivations are as yet technique.
> 
> So, constructivism is regarded as the rulial in
> the standard, and intutionism is that which
> revolves in the abductive inference, as what
> makes for embracing the fuller dialectic.
> 
> Thusly, the "standard" is "our standard",
> while what's of interest in the fuller dialectic
> is the "extra-ordinary" or "super-standard",
> that the "non-standard", must be in these
> classes of classes, yet formalist, and rulial
> again, in the competing regularities, which
> comprise "it", the thing, the universe of the
> mathematical and logical objects, a theory,
> to which we attain, "A Theory", the theory,
> of the things, the theory of every thing.
> 
> So, just saying, there's a greater mathematics
> than "our standard", with "R, standard", and
> modern mathematics as it's usually known,
> a paleo-classical post-modern mathematics,
> which mathematics owes physics for the
> greater context of continuity, convergence,
> and the laws of large numbers.
> 
> I'm a formalist: and in natural language.

Date: Tue, 7 May 2024 15:16:27 -0400.
> Are there differences in syntax between
> 'for.any' 'for.each' 'for.every' 'for.all' ?

If your answer, if it ever comes, is "no",
then I do not know what is meant by
> quantifier comprehension artifacts of the extra sort
That looks to me like
quantifiers used in several domains, full stop.

If your answer, if it ever comes, is "yes",
then I would like to know different how.
Syntax is pretty intimately entangled with semantics.

If your answer never comes,
why don't I just balk and clam up, because,
without it, I don't have much to say.

So, it's door number 3.

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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 Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-15 12:56 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-15 16:57 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-16 02:03 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-16 12:50 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-18 09:09 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-18 14:16 -0400
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-18 13:11 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-19 07:07 -0700
                Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-19 13:28 -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 Moebius <invalid@example.invalid> - 2024-05-15 16:39 +0200
                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 Moebius <invalid@example.invalid> - 2024-05-15 16:49 +0200
                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
                Re: because g?(g?¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-10 15:28 -0700
                Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-06 18:00 -0700
                Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-06 18:34 -0700
                Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 12:42 -0700
                Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-07 13:25 -0700
                Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 15:10 -0700
                Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-07 17:30 -0700
                Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 22:33 -0700
                Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-07 15:16 -0400
                Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-07 17:28 -0400
                Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-07 20:29 -0700
                Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-07 20:56 -0700
                Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-07 21:25 -0700
                Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-08 06:06 -0400
                Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-08 13:18 -0700
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-05-06 20:52 -0400
                Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-06 18:32 -0700
                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

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