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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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.