PP-2019-07: Generalized Quantifiers Meet Modal Neighborhood Semantics

PP-2019-07: van Benthem, Johan and Westerstähl, Dag (2019) Generalized Quantifiers Meet Modal Neighborhood Semantics. [Pre-print] (In Press)

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Neighborhood models for modal logic are generalized quantifiers, parametrized to points in the domain of objects/worlds. We explore this analogy further, connecting generalized quantifier theory and modal neighborhood logic. We find interesting analogies between conservativity for linguistic quantifiers and the locality of modal logic, the role of invariances in both fields, and we give some new completeness results for modal logics of linguistically motivated classes of generalized quantifiers.

Item Type: Pre-print
Report Nr: PP-2019-07
Series Name: Prepublication (PP) Series
Year: 2019
Subjects: Language
Depositing User: Johan van Benthem
Date Deposited: 03 Mar 2019 09:46
Last Modified: 25 Apr 2019 14:25
URI: https://eprints.illc.uva.nl/id/eprint/1665

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