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    Syntactic derivability in second-order logic is not recur... — Carmelics
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    Challenges→The above proof of the intermediate value result can be read either as a syntactic derivation from the axioms or as a semantic argument

    Syntactic derivability in second-order logic is not recursively enumerable, so no finite proof system can capture all second-order validities.

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    Proof of definition segments1 linkedPhilosophy of Language1 linked

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