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    Hilbert and Bernays demonstrated that syntactic derivabil... — Carmelics
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    Challenges→A semantic argument in set theory is convertible to a syntactic formal proof only if the argument is valid in every model of ZFC, not merely in some preferred model

    Hilbert and Bernays demonstrated that syntactic derivability and semantic validity come apart precisely when the metatheory is not fixed independently of the object theory.

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