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    Universal quantification over all ZFC models is meaningle... — Carmelics
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    Supports→A semantic argument valid only in a forcing extension is nonetheless convertible to a syntactic proof relative to the axioms of that extension, which contradicts the claim's universal quantification over all ZFC models.

    Universal quantification over all ZFC models is meaningless if semantic validity shifts between models; local syntactic proofs respect this model-relativity.

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