Re: Analytic Truth-makers

From	Wasell <wasell@example.com>
Newsgroups	comp.theory, sci.logic
Subject	Re: Analytic Truth-makers
Date	2024-07-23 16:51 +0200
Organization	Never You Mind, Inc.
Message-ID	<MPG.4109e1eeb98e7f829896fe@reader.eternal-september.org> (permalink)
References	<v7m26d$nrr4$1@dont-email.me> <e41a2d324173031e1fe47acc0fd69b94b7aba55e@i2pn2.org> <v7msg0$sepk$1@dont-email.me> <3fb77583036a3c8b0db4b77610fb4bf4214c9c23@i2pn2.org>

Cross-posted to 2 groups.

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On Mon, 22 Jul 2024 20:17:15 -0400, in article 
<3fb77583036a3c8b0db4b77610fb4bf4214c9c23@i2pn2.org>, Richard Damon wrote:
> 
> On 7/22/24 8:11 PM, olcott wrote:

[...]

> > *No stupid I have never been saying anything like that* If g and
> > ~g is not provable in PA then g is not a truth-bearer in PA.
>
> What makes it different fron Goldbach's conjecture?

I think a better example might be Goodstein's theorem [1].

* It is expressible in the same language as PA.

* It is neither provable, nor disprovable, in PA.

* We know that it is true in the standard model of arithmetic.

* We know that it is false in some (necessarily non-standard) models
  of arithmetic.

* It was discovered and proved long before it was shown to be
  undecidable in PA.

The only drawback is that the theorem is somewhat more complicated
than Goldbach's conjecture -- not a lot, but a bit.

[1] <https://en.wikipedia.org/wiki/Goodstein%27s_theorem>

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Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-22 11:42 -0500
  ""self contradictory"" (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-22 22:18 +0200
    Re: ""self contradictory"" (Was: Analytic Truth-makers) olcott <polcott333@gmail.com> - 2024-07-22 15:32 -0500
      Re: ""self contradictory"" (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-22 22:46 +0200
        Re: ""self contradictory"" (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-22 22:49 +0200
        Re: ""self contradictory"" (Was: Analytic Truth-makers) olcott <polcott333@gmail.com> - 2024-07-22 16:42 -0500
          Re: ""self contradictory"" (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-23 00:49 +0200
  Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-22 20:01 -0400
    Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-22 19:11 -0500
      Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-22 20:17 -0400
        Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-22 19:44 -0500
          Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-22 21:42 -0400
            Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-22 21:12 -0500
              Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-22 22:56 -0400
                Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-22 23:07 -0500
                Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-23 07:30 -0400
                Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-23 09:55 -0500
                Re: Analytic Truth-makers Mild Shock <janburse@fastmail.fm> - 2024-07-23 22:57 +0200
                "undecidable" / "unentscheidbar" (Was Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-23 23:02 +0200
                Re: "undecidable" / "unentscheidbar" (Was Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-23 23:13 +0200
                Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-23 19:25 -0500
                Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-23 22:15 -0400
                Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-23 14:02 +0200
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) olcott <polcott333@gmail.com> - 2024-07-23 09:58 -0500
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-23 22:36 +0200
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) olcott <polcott333@gmail.com> - 2024-07-23 15:43 -0500
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Richard Damon <richard@damon-family.org> - 2024-07-23 22:15 -0400
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-23 22:44 +0200
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-23 22:52 +0200
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) olcott <polcott333@gmail.com> - 2024-07-23 19:18 -0500
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Richard Damon <richard@damon-family.org> - 2024-07-23 22:15 -0400
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-24 22:33 +0200
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) olcott <polcott333@gmail.com> - 2024-07-24 15:45 -0500
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-24 23:54 +0200
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Mild Shock <janburse@fastmail.fm> - 2024-07-24 23:54 +0200
                Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers) Richard Damon <richard@damon-family.org> - 2024-07-24 19:57 -0400
        Re: Analytic Truth-makers Wasell <wasell@example.com> - 2024-07-23 16:51 +0200
          Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-23 11:26 -0500
            Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-23 22:15 -0400
              Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-23 21:45 -0500
                Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-23 23:03 -0400
                Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-23 22:17 -0500
                Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-23 23:27 -0400
                Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-23 23:09 -0500
                Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-24 07:28 -0400
                Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-24 09:20 -0500
                Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-24 19:57 -0400
                Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-24 19:44 -0500
                Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-24 21:05 -0400
                Re: Analytic Truth-makers olcott <polcott333@gmail.com> - 2024-07-25 09:12 -0500
                Re: Analytic Truth-makers Richard Damon <richard@damon-family.org> - 2024-07-25 19:35 -0400

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