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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic,comp.theory
Subject: Re: Truthmaker Maximalism and undecidable decision problems
Date: Sun, 9 Jun 2024 14:08:09 -0400
Organization: i2pn2 (i2pn.org)
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On 6/9/24 1:18 PM, olcott wrote:
> On 6/9/2024 10:36 AM, olcott wrote:
>> *This has direct application to undecidable decision problems*
>>
>> When we ask the question: What is a truthmaker? The generic answer is
>> whatever makes an expression of language true <is> its truthmaker. This
>> entails that if there is nothing in the universe that makes expression X
>> true then X lacks a truthmaker and is untrue.
>>
>> X may be untrue because X is false. In that case ~X has a truthmaker.
>> Now we have the means to unequivocally define truth-bearer. X is a
>> truth-bearer iff (if and only if) X or ~X has a truthmaker.
>>
>> I have been working in this same area as a non-academician for a few
>> years. I have only focused on expressions of language that are {true on
>> the basis of their meaning}.
>>
> 
> Now that truthmaker and truthbearer are fully anchored it is easy to see
> that self-contradictory expressions are simply not truthbearers.
> 
> “This sentence is not true” can't be true because that would make it
> untrue and it can't be false because that would make it true.
> 
> Within the the definition of truthmaker specified above: “this sentence
> has no truthmaker” is simply not a truthbearer. It can't be true within
> the above specified definition of truthmaker because this would make it
> false. It can't be false because that makes
> it true.
> 
> 

Unless the system is inconsistent, in which case they can be.

Note,