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Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)

From Mild Shock <janburse@fastmail.fm>
Newsgroups comp.theory, sci.logic
Subject Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)
Date 2024-07-23 22:52 +0200
Message-ID <v7p56d$8buo$1@solani.org> (permalink)
References (8 earlier) <v7naae$120r5$1@dont-email.me> <v7o64d$7r0l$1@solani.org> <v7ogdr$17h8r$9@dont-email.me> <v7p499$8bb2$5@solani.org> <v7p4mt$8bl4$1@solani.org>

Cross-posted to 2 groups.

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In Montague Semantics the bivalance principle
is expressed by the type "prop". You find that in
the intial definition of Montague:

 > 2 Intensional Logic
 > By ME_a is understood rhe set of meaningful expresions of type a
 > 1. Every variable and constant of type a is ME_a.
https://www.cs.rhul.ac.uk/~zhaohui/montague73.pdf

If I am not mistaken then Montague simply uses
the letter "t" for the type "prop".

Mild Shock schrieb:
> Of course you can restrict yourself to
> only so called "decidable" sentences A,
> 
> i.e. sentences A where:
> 
> True(L,A) v True(L,~A)
> 
> But this doesn't mean that all sentences
> are decidable, if the language allows for
> example at least one propositional variables p,
> 
> then you have aleady an example of an
> undecidable sentences, you even don't
> need anything Gödel, Russell, or who knows
> 
> what, all you need is bivalence, which was
> already postualated by Aristoteles.
> 
> Principle of bivalence
> https://en.wikipedia.org/wiki/Principle_of_bivalence
> 
> if you assume that a propostional variable
> is "variably", meaning it can take different truth
> values depending on different possible worlds,
> 
> or state of affairs, or valuations, or how ever
> you want to call it. Then a propositional variable
> is the prime example of an undecided sentence.
> 
> Mild Shock schrieb:
>> Thats a little bit odd to abolish incompletness.
>> Take p, an arbitrary propositional variable.
>> Its neither the case that:
>>
>> True(L,p)
>>
>> Nor is ihe case that:
>>
>> True(L,~p)
>>
>> Because there are always at least two possible worlds.
>> One possible world where p is false, making True(L,p)
>> impossible, and one possible world where p is true,
>>
>> making True(L,~p) impossible.

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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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