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From: Richard Damon <richard@damon-family.org>
Newsgroups: comp.theory,sci.logic
Subject: =?UTF-8?Q?Re=3A_G=C3=B6del=27s_Basic_Logic_Course_at_Notre_Dame_=28?=
 =?UTF-8?Q?Was=3A_Analytic_Truth-makers=29?=
Date: Tue, 23 Jul 2024 22:15:43 -0400
Organization: i2pn2 (i2pn.org)
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On 7/23/24 4:43 PM, olcott wrote:
> On 7/23/2024 3:36 PM, Mild Shock wrote:
>> 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.
>>
> 
> We are not using propositional logic we are using an extension
> of Montague Semantics such that every natural language meaning
> can be formalized.

Then you aren't in the same system as Tarski, and prove yourself to be a 
liar.

> 
> L is an actual language and p is a specific static constant
> finite string expression of that language.
> 
> There is no possible world where the living animal
> of a puppy is a 15 story office building.

Are you SURE about that?

> 
> There is no possible world where this sentence or its
> negation are true: "This sentence is not true".

How do you know that?

> 
>> olcott schrieb:
>>> On 7/23/2024 7:02 AM, Mild Shock wrote:
>>>> Little bit odd reference to mathematical logic for 2024.
>>>>
>>>> olcott schrieb:
>>>>>>> Curry, Harkell B. 1977. Foundations of Mathematical Logic. Page:45
>>>
>>> https://www.liarparadox.org/Haskell_Curry_45.pdf
>>>
>>> *It sustains this idea*
>>>
>>> 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.
>>>
>>> ~True(L,x) ∧ ~True(L,~x)
>>> means that x is not a truth-bearer in L.
>>> It does not mean that L is incomplete
>>>
>>
>