• Re: Proof Theoretic Semantics as a new Foundation for Mathematics,Logic and the Theory of Computation

    From Mikko@mikko.levanto@iki.fi to sci.logic,sci.math,comp.theory,comp.ai.philosophy on Sat Jun 27 09:57:13 2026
    From Newsgroup: comp.theory

    On 26/06/2026 15:56, olcott wrote:
    On 6/26/2026 1:10 AM, Mikko wrote:
    On 25/06/2026 17:47, olcott wrote:

    https://philpapers.org/archive/OLCPTS-2.pdf

    Essentially the article claims that Gödel's incompleteness resutls
    are correct and that the significancs of proof theoretic semantivs
    is mainly philosophical and not mathematical.

    The article also presents an attempt to solve the halting problem
    and a construction of an intput that the decider cannot decide
    correctly but fails to present any conclusion.

    It is a verified matter of fact that within proof
    theoretic semantics undecidability derived from
    pathological self-reference (PSR) ceases to exist.

    Irrelevant to the comments above, which don't even mention any
    self-reference.

    Besides, the self-reference, though posiibly non-pathological,
    at the end of the page https://mlevanto.github.io/lauseke.html
    obviously exist.
    --
    Mikko
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