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It is not the case that SQML does not get the logical cart before the philosophical horse by building necessitism into its logical foundations.
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Reasons For
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Reason for 1 of 2
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1.
SQML's axiom schema ∀x□∃y(y=x) encodes necessitism as a theorem of the logical system, not a contingent metaphysical addition.
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2.
When a metaphysical doctrine is derivable from the pure logic alone, that logic presupposes rather than remains neutral toward that doctrine.
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3.
Williamson's own derivation in 'Modal Logic as Metaphysics' shows necessitism follows from SQML's quantifier rules, confirming it is built in foundationally.
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Reason for 2 of 2
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1.
Free logic traditions (Lambert, Bencivenga) demonstrate that quantified modal systems can be constructed without existential import, making SQML's choice non-mandatory.
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2.
If an alternative logical framework avoiding necessitism is coherent and equally expressive, then SQML's entailment of necessitism reflects a substantive philosophical commitment, not logical neutrality.
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Reasons Against
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Reason against
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1.
Necessitism is not merely a natural complement to possibilism but an essential component of it.
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2.
Possibilism requires necessitism to preserve its central justification — that modal propositions have truthmakers grounded in the modal properties of individuals.
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