Re: Truthmaker Maximalism and undecidable decision problems

On 6/9/2024 1:08 PM, Richard Damon wrote:

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,

When I specify the ultimate foundation of all truth then this
does apply to truth in logic, truth in math and truth in science.
*Three laws of logic apply to all propositions*
¬(p ∧ ¬p) Law of non-contradiction
  (p ∨ ¬p) Law of excluded middle
   p = p   Law of identity
Inconsistent systems cannot be truthmakers
in those cases where they derive inconsistency.
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer