Conservative generalized quantifiers and presupposition

Conservativity in generalized quantifiers is linked to presupposition filtering, under a propositions-as-types analysis extended with dependent quantifiers. That analysis is underpinned by modeltheoretically interpretable proofs which inhabit propositions they prove, thereby providing objects for quantification and hooks for anaphora.
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Tim Fernando (2009). Situations as Indices and as Denotations. Linguistics and Philosophy 32 (2):185-206.

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