PP-2007-28: A Remark on Collective Quantification

PP-2007-28: Kontinen, Juha and Szymanik, Jakub (2007) A Remark on Collective Quantification. [Report]

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Abstract

We consider collective quantification in natural language. For many years the common strategy in formalizing collective quantification has been to define the meanings of collective determiners, quantifying over collections, using certain type-shifting operations. These type-shifting operations, i.e., lifts, define the collective interpretations of collective determiners systematically from the standard meanings of quantifiers. All the lifts considered in the literature turn out to be definable in second-order logic. We argue that second-order definable quantifiers are probably not expressive enough to formalize all collective quantification in natural language.

Item Type: Report
Report Nr: PP-2007-28
Series Name: Prepublication (PP) Series
Year: 2007
Uncontrolled Keywords: collective quantification; Lindstrom quantifiers; second-order generalized quantifiers; type-shifting; definability
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/262

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