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Groups > comp.theory > #109495
| From | olcott <polcott333@gmail.com> |
|---|---|
| Newsgroups | comp.theory, sci.logic |
| Subject | Re: Analytic Truth-makers |
| Date | 2024-07-23 21:45 -0500 |
| Organization | A noiseless patient Spider |
| Message-ID | <v7pprm$1iqdm$1@dont-email.me> (permalink) |
| References | (2 earlier) <v7msg0$sepk$1@dont-email.me> <3fb77583036a3c8b0db4b77610fb4bf4214c9c23@i2pn2.org> <MPG.4109e1eeb98e7f829896fe@reader.eternal-september.org> <v7olj0$19f9b$1@dont-email.me> <5406ed035cafb6c47d3b89e92dac58f0b9c67fe8@i2pn2.org> |
Cross-posted to 2 groups.
On 7/23/2024 9:15 PM, Richard Damon wrote:
> On 7/23/24 12:26 PM, olcott wrote:
>> On 7/23/2024 9:51 AM, Wasell wrote:
>>> 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>
>>
>>
>> I am establishing a new meaning for
>> {true on the basis of meaning expressed in language}
>> Formerly known as {analytic truth}.
>> This makes True(L,x) computable and definable.
>
> You may say that, but you then refuse to do the work to actually do that.
>
> The problem is that if you try to redefine the foundation, you need to
> build the whole building all over again, but you just don't understand
> what you need to do that.
>
>>
>> L is the language of a formal mathematical system.
>> x is an expression of that language.
>>
>> When we understand that True(L,x) means that there is a finite
>> sequence of truth preserving operations in L from the semantic
>> meaning of x to x in L, then mathematical incompleteness is abolished.
>
> Except you just defined that this isn't true, as you admit that the
> Goldbach conjecgture COULD be an analytic truth even if it doesn't have
> a finte sequence of truth perserving operations,
I redefined analytic truth to account for that. Things
like the Goldbach conjecture are in the different class
of currently unknowable.
> but only an infinite
> sequence. But a Analytic Truth MUST be a "truth-bearer", so you just
> blew up your whole logic system with your lies.
>
>>
>> ~True(L,x) ∧ ~True(L,~x)
>> means that x is not a truth-bearer in L.
>> It does not mean that L is incomplete
>>
>
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer
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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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