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    Modal criteria that treat all necessary co-extensionals a... — Carmelics
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    Supports→Modal criteria may introduce spurious ontological commitments when there are metaphysically necessary connections between distinct kinds of entity.

    Modal criteria that treat all necessary co-extensionals as joint commitments violate the Quinean principle that ontological commitment tracks existential quantification, not metaphysical necessity.

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    Key Terms

    Co-extensionals(necessary co-extensionals)
    Things that apply to exactly the same set of objects or situations; if two terms are co-extensional, they're true in all the same cases.
    Existential quantification(in formal logic)
    A logical claim that says 'at least one thing has this property'—like saying 'someone in this room speaks French' rather than 'everyone in this room speaks French.'
    Quine(as a proper name referring to the philosopher whose theory is being discussed)
    Willard Van Orman Quine was a 20th-century American philosopher who wrote about how we know things and how language works. In this statement, we're discussing one of his specific ideas about observation.
    Quinean principle(violate the Quinean principle)
    A rule of thinking proposed by philosopher Willard Van Orman Quine: what you're really committed to existing should match what your formal logic says exists, not what seems philosophically necessary.

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    metaphysical necessity(Distinguishing types of necessity)
    A property of things that must be the case but not purely by logical form — true in all possible worlds without being logical tautologies
    modal(in logic and metaphysics)
    Dealing with possibility and necessity—questions about what could be true, what must be true, and what's merely contingent (could go either way).
    ontological commitment(Used to derive that literal truth of 'a is F' entails existence of a)
    The criterion by which acceptance of a sentence as literally true commits one to the existence of the objects referred to by singular terms in that sentence, provided the sentence cannot be paraphrased away.

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    Modality & Possibility1 linkedPhilosophy of Language1 linked

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    Modal criteria may introduce spurious ontological commitments when there are met...

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