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    The claim conflates syntactic limitation with semantic ne... — Carmelics
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    Challenges→If finite models satisfy the same universal equations as the integers, the equational theory alone cannot entail infinitude without invoking non-equational axioms.

    The claim conflates syntactic limitation with semantic necessity; equational constraints may semantically entail infinitude even if the proof requires meta-logical reasoning.

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    If finite models satisfy the same universal equations as the integers, the equat...

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    If finite models satisfy the same universal equations as the integers, the equat...

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