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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    olcott to All    |
|    Making the body of knowledge computable    |
|    10 Feb 26 22:59:24    |
      XPost: comp.theory, sci.logic, sci.math       XPost: comp.lang.prolog, comp.software-eng       From: polcott333@gmail.com              We completely replace the foundation of truth conditional       semantics with proof theoretic semantics. Then expressions       are "true on the basis of meaning expressed in language"       only to the extent that all their meaning comes from       inferential relations to other expressions of that language.       This is a purely linguistic PTS notion of truth with no       connections outside the inferential system.              Well-founded proof-theoretic semantics reject expressions       lacking a "well-founded justification tree" as meaningless.       ∀x (~Provable(T, x) ⇔ Meaningless(T, x))              --       Copyright 2026 Olcott |
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