From Newsgroup: comp.ai.philosophy
Proof-theoretic semantics is an alternative to truth-condition semantics
https://plato.stanford.edu/entries/proof-theoretic-semantics/
In other words instead of "true" in the standard model of
arithmetic we have something else because model theory only
comes from truth-conditional semantics.
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Copyright 2026 Olcott
My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.
The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.
My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.
(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).
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