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On 7/7/24 11:09 PM, olcott wrote:It does not matter how Tarski derived the self-contradictoryOn 7/7/2024 10:02 PM, olcott wrote:Nope. Uses different (and stricter) rules.On 7/7/2024 9:54 PM, Richard Damon wrote:On 7/7/24 10:52 PM, olcott wrote:>On 7/7/2024 9:50 PM, Richard Damon wrote:>On 7/7/24 10:22 PM, olcott wrote:>On 7/7/2024 1:30 PM, Richard Damon wrote:>>>
Is "Not-a-logic-sentence" a truth value that True, of ~false can return or not?
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*I will try to be perfectly clear*
Not-a-logic-sentence(L,x) ≡ (~True(L,x) ∧ ~True(L,~x))
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In other words, you have no idea of how to express you concept in the terms of how a logic would be built with it, as you just don't undertand how logic works.
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That every expression of language that is {true on the basis of
its meaning expressed using language} must have a connection by
truth preserving operations to its {meaning expressed using language}
is a tautology. The accurate model of the actual world is expressed
using formal language and formalized natural language.
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Word salad.
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No such model exists, so you are basing your system on faery dust.
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You just don't understand what you are talking about, and think Formal Logic is just like the abstract philosophy you seemed to have studied a bit of.
Formal logic is a subset of this.
That you don't understand this just shows your ignorance, and is why you can't actually PROVE anything because the standard of proof is one of the big differences.
In other words, you don't understand his PROOF, Note (1) and (2) are NOT "assumptions" but statements of facts from ealier in the work.Not-a-logic-sentence(PA,g) ≡ (~True(PA,g) ∧ ~True(PA,~g))>
There are no truth preserving operations in PA to g or to ~g
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https://liarparadox.org/Tarski_275_276.pdf
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Within my analytical framework this Tarski sentence is merely
self-contradictory
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(3) x ∉ Provable if and only if x ∈ True. // (1) and (2) combined
If you can't find the erroneous step to get them, you have no counter to his statement.*self-contradictory expressions must be rejected*
There cannot be any infinite sequence of truth preserving operations>Nope, there is no FINITE sequence of truth preserving operations (a proof) to x if and only if there are a (possibly infinite) sequence of truth perserving operations to x (meaning it is a true statement).
There are no truth preserving operations in Tarski's
theory to x if and only if There are truth preserving
operations in Tarski's theory to x
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This is possible if the only sequences of truth preserving operations to x are infinite in length.
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