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On 6/10/2024 6:16 AM, Richard Damon wrote:So, how does that apply to something that isn't a part of "the universe", as Formal Logic systems are not.On 6/9/24 11:12 PM, olcott wrote:I never agreed to anything like that.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*>
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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.
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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.
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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}.
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Now that truthmaker and truthbearer are fully anchored it is easy to see
that self-contradictory expressions are simply not truthbearers.
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“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.
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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.
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Unless the system is inconsistent, in which case they can be.
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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.
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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
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And a formal system proven inconsistant isn't necessarily incorrect, just inconsistent.
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To the extent that they define inconsistency they
are not truth-makers.
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YOU hae a TYPE ERROR in your statement.
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That just proves that YOUR logic is incorrect.
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How can a SYSTEM be a propsition?
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*Stopping at your first big mistake*
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When we ask the question: What is a truthmaker? The generic answer is whatever makes an expression of language true <is> its truthmaker.
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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.
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Which isn't a formal system.
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A cat in your living room <is> a truthmaker and is not
a formal system.
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So, you agree your definiton doesn't work on formal systems?
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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.
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