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|    Message 262,824 of 262,912    |
|    olcott to Mikko    |
|    Re: Changing the foundational basis to P    |
|    06 Feb 26 09:30:53    |
      XPost: comp.theory, sci.math, sci.lang       XPost: comp.lang.prolog       From: polcott333@gmail.com              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 dozens of papers needed to verify this.       It will take me quite a while to form proper citations       of these papers. It is anchored in proof theoretic semantics.       Generic PTS states that ~Provable(x) ⇔ Meaningless(x).       Model theory and truth conditional semantics are rejected.              --       Copyright 2026 Olcott |
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