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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,835 of 262,912    |
|    olcott to Mikko    |
|    Re: Changing the foundational basis to P    |
|    07 Feb 26 07:10:28    |
      XPost: comp.theory       From: polcott333@gmail.com              On 2/7/2026 4:25 AM, Mikko wrote:       > On 06/02/2026 17:30, olcott wrote:       >> On 2/6/2026 3:01 AM, Mikko wrote:       >>> On 05/02/2026 18:55, olcott wrote:       >>>       >>>> Changing the foundational basis to Proof Theoretic Semantics       >>>> Tarski Undefinability is overcome       >>>>       >>>> x ∈ Provable ⇔ x ∈ True // proof theoretic semantics       >>>       >>> A definition in terms of an undefined symbol does not really define.       >>       >> It is an axiom: ∀x (Provable(x) ⇒ True(x))       >       > There are theories where every sentence is provable but it is not       > possiible to interprete any theory so that every sentence is true.       >              Proof Theoretic Semantics enables       "true on the basis of meaning expressed in language"       to be reliably computable for the entire body of knowledge.                     --       Copyright 2026 Olcott |
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