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    A mathematical sentence with no possible concrete proof-t... — Carmelics
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    Supports→Formalist positions of Goodman and Quine's persuasion are refuted by reductio ad absurdum

    A mathematical sentence with no possible concrete proof-token has no determinate inferential role in any actual linguistic community, and therefore lacks cognitive content by verificationist standards.

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    Key Terms

    Inferential role(Used within inferentialism to characterize how individual speakers relate to a term)
    The set of inferences a speaker is disposed to draw in connection with a given expression
    Linguistic community(as a potential requirement for self-consciousness)
    A group of people who share and use the same language to communicate with each other.
    cognitive content(Humean empiricist semantics)
    The meaningful idea annexed to a term, which must ultimately be traceable to original impressions.
    proof-token(as used in philosophy of language and logic)
    A concrete, observable instance of evidence or verification—like actually running an experiment and recording the results, rather than just imagining it could be done.
    verificationist standards

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    (as used in philosophy of language and epistemology)
    A philosophical rule stating that a statement is only meaningful if there's a possible way to test or prove whether it's true or false in the real world.

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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

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