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    Henkin's general models achieve completeness because they... — Carmelics
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    Supports→As Henkin (1950) demonstrated, weakening the semantics of second-order logic to general models preserves completeness but loses categoricity, so validity in full models and validity relative to θ come apart.

    Henkin's general models achieve completeness because they allow non-standard interpretations that validate exactly the theorems provable in SOL.

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