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

From	Jim Burns <james.g.burns@att.net>
Newsgroups	sci.math
Subject	Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how
Date	2024-05-03 05:07 -0400
Organization	A noiseless patient Spider
Message-ID	<ce588a75-4ea6-4a78-8be2-d729e80d19cd@att.net> (permalink)
References	(12 earlier) <v0gv7o$3s84g$1@dont-email.me> <38955b31-7a34-4d2a-a3ec-32b8a66c0d7e@att.net> <v0ujej$3ecti$1@dont-email.me> <03af2426-92b1-47f9-b32f-3c6f61b40f0c@att.net> <v10n82$qkn$1@dont-email.me>

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On 5/2/2024 2:49 PM, Tom Bola wrote:
> Am 02.05.2024 20:00:50 Jim Burns schrieb:

>> WM will say that
>> ω is the first infiniteᵂᴹ ordinal,
>> but he does NOT mean that
>> ω is the first infiniteⁿᵒᵗᐧᵂᴹ ordinal.
>
> WM rejects the idea that
> there is "actual infinity" which
> is realized in nature

WM rejects
∀j:∃k≠j: j<k
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
¬∃k:∀j≠k: j<k

If I recall correctly, the reason he's given is
actual infinity or potential infinity
but
that only flies if "infinite" means
"more than one"

> and WM rejects it also
> in the any mental space because
> it is "wrong logic" and idiocy
> (but he tends to "allow" for
> the idea of "potential infinity").

It seems to me that
there is less going on there,
going on either correctly or incorrectly,
than there appears to be at first.

WM call various things
"actually infinite" and "potentially.infinite".
What does he mean by those terms?
NOT "What does Cantor mean? Euclid mean?"

WM alters definitions to whatever suits him.
What others mean is no more than
a suggestion, a guess about what he means.

I look at how things get labelled.
"Actual infinity" is used to disagree with
the mathematical.industrial.complex.
"Potential infinity" is used to agree with
the mathematical.industrial.complex.
And that's the whole of it.

| ∀j:∃k≠j: j<k
| ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
| ¬∃k:∀j≠k: j<k
|
denies darkᵂᴹ numbers
Therefore,
"something something actual infinity".
Oh! We matheologians are so silly.
Wolfgang Mückenheim wins again.

But
there is nothing about infinity of any kind
in the derivation.
WM doesn't care.
He has his two permission slips, which
excuse him from thinking about any of this.

> WMs philosophy is like ultrafinitistic
> while he is too dense for any mathematic thinking
> which he lacks to basically understand altogether)...

I have a strong suspicion that
WM's philosophies are
roll.over.and.go.back.to.sleep  and
under.no.circumstances.bother.me.with.that.

I have trouble accepting that
WM is literally unable to follow this,
but
I can imagine that,
after 30+ years of shielding his ignorance,
he is unwilling to get rid of it.

If he weren't actively working to propagate
his ignorance, I'd be more.than.half inclined
to let him sleep.

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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 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 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
          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

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