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Re: Truthmaker Maximalism and undecidable decision problems

From Richard Damon <richard@damon-family.org>
Newsgroups sci.logic, comp.theory
Subject Re: Truthmaker Maximalism and undecidable decision problems
Date 2024-06-09 14:29 -0400
Organization i2pn2 (i2pn.org)
Message-ID <v44sa5$3egpa$10@i2pn2.org> (permalink)
References <v44i60$3jnc8$1@dont-email.me> <v44o5t$3l9t2$1@dont-email.me> <v44r29$3egpa$5@i2pn2.org> <v44rd0$3m841$2@dont-email.me>

Cross-posted to 2 groups.

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On 6/9/24 2:13 PM, olcott wrote:
> 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.

Nope. Not for Formal system, which have a specific definition of its 
truth-makers, unless you let your definition become trivial for Formal 
logic where a "truth-makers" is what has been defined to be the 
"truth-makers" for the system.

> 
> *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

Nope, only for systems that accept those requirements.

There are (typically non-binary) systems that do not include one or both 
of the first two "laws".

I am not sure about the third, while I can't think of a system that 
doesn't have the law of identity, I am not sure it is absoultely required.

(after a bit of research)

In Schrödinger logic https://en.wikipedia.org/wiki/Schrödinger_logic
the law of identity is greatly restricted, because the statement x = y 
is not a well-formed formula in many cases, so it might not be true that 
x = x
> 
> Inconsistent systems cannot be truthmakers
> in those cases where they derive inconsistency.
> 

Illogical.

"inconsistent SYSTEMS" are not the same sort of thing as a "truth-maker" 
as the first is a system of logic, and the second is a statement 
expressed in such a system.

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Thread

Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 10:36 -0500
  Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 12:18 -0500
    Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:08 -0400
      Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 13:13 -0500
        Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:29 -0400
          Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 13:40 -0500
            Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:54 -0400
              Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 14:08 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 15:36 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 21:47 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 22:56 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 22:12 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-10 07:16 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-10 11:09 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-10 23:32 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-11 12:30 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-11 19:22 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-11 20:43 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-11 22:34 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-11 21:58 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-11 23:01 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-11 22:20 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 07:33 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 10:40 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 19:49 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 19:44 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 20:57 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 20:37 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 21:53 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 21:01 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 22:21 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 21:32 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 22:42 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 21:53 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 23:15 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 22:17 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 23:51 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 23:01 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-13 07:30 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-13 08:32 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-13 22:45 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-13 22:50 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-14 07:39 -0400
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-14 08:58 -0500
                Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-10 09:52 -0500
                Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 23:00 -0400
            Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-11 11:06 -0500
              Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-11 21:44 -0400
                Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-11 20:57 -0500
                Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-11 22:37 -0400
                Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-11 22:17 -0500
                Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-12 07:33 -0400
                Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-12 08:05 -0500
                Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-12 19:55 -0400
                Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-12 20:16 -0500
                Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-12 21:48 -0400
  Re: Truthmaker Maximalism and undecidable decision problems joes <noreply@example.com> - 2024-06-09 17:40 +0000
    Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 12:52 -0500
  Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:08 -0400
    Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 13:10 -0500
      Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:31 -0400
        Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 13:48 -0500
          Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:57 -0400

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