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    The invariant content of a sentence under full semantics ... — Carmelics
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    Challenges→If second-order logic is interpreted with full semantics relative to a given set-theoretic universe, what counts as 'all structures' shifts across universes, undermining the fixed comparison between sentence-count and structure-count.

    The invariant content of a sentence under full semantics persists across universes: satisfaction relations remain coherent under elementary embeddings.

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