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    Syntactic convertibility doesn't address the core issue: ... — Carmelics
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    Challenges→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.

    Syntactic convertibility doesn't address the core issue: the semantic argument's validity depends on forcing extension structure, not extension axioms alone.

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    A semantic argument valid only in a forcing extension is nonetheless convertible...

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