Re: Truthmaker Maximalism and undecidable decision problems

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Sujet : Re: Truthmaker Maximalism and undecidable decision problems
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.logic comp.theory
Date : 11. Jun 2024, 05:32:50
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <v48gh2$3kcoe$2@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14
User-Agent : Mozilla Thunderbird
On 6/10/24 12:09 PM, olcott wrote:
On 6/10/2024 6:16 AM, Richard Damon wrote:
On 6/9/24 11:12 PM, olcott wrote:
On 6/9/2024 9:56 PM, Richard Damon wrote:
On 6/9/24 10:47 PM, olcott wrote:
On 6/9/2024 2:36 PM, Richard Damon wrote:
On 6/9/24 3:08 PM, olcott wrote:
On 6/9/2024 1:54 PM, Richard Damon wrote:
On 6/9/24 2:40 PM, olcott wrote:
On 6/9/2024 1:29 PM, Richard Damon wrote:
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.
>
>
Formal systems are free to define their own truthmakers.
When these definitions result in inconsistency they are
proved to be incorrect.
>
So, you admit that your definition is just inconsistant, as it says FOR ALL and then you admit it isn't FOR ALL
>
And a formal system proven inconsistant isn't necessarily incorrect, just inconsistent.
>
>
To the extent that they define inconsistency they
are not truth-makers.
>
>
YOU hae a TYPE ERROR in your statement.
>
That just proves that YOUR logic is incorrect.
>
How can a SYSTEM be a propsition?
>
>
*Stopping at your first big mistake*
>
When we ask the question: What is a truthmaker? The generic answer is whatever makes an expression of language true <is> its truthmaker.
>
A cat in your living room is not a proposition yet makes the
sentence: "there is a cat in my living room" true, thus <is> its
truthmaker.
>
>
Which isn't a formal system.
>
>
A cat in your living room <is> a truthmaker and is not
a formal system.
>
>
So, you agree your definiton doesn't work on formal systems?
>
 I never agreed to anything like that.
When we define truthmaker this self-evidently true way:
 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.
 Then it is self-evident that this <is> the way that truth really works.
 
So, how does that apply to something that isn't a part of "the universe", as Formal Logic systems are not.
Their concept of truth is NOT related to any of the facts about our universe, but only their wholely self-contained system, built on the agreed upon manner.
I think your problem is you just can't handle that level of abstraction.
Just like you can't understand a logic system allowing "inconsistant behavior" as not being "wrong".

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