The logical form of determiners

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1995 English Publisher:Springer Science and Business Media LLCJournal:Journal of Philosophical Logic, volume 24, pages 47-69 (issn: 0022-3611, eissn: 1573-0433,

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Authors: Peter Ludlow;

doi: 10.1007/bf01052730

The logical form of determiners

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Abstract

An attempt at finding syntactical means for formulating logical laws obeyed by such natural language determiners as ``many'', ``most'', ``few'', ``more than'', \dots. A special language is introduced which is constructed as an extension of the first-order predicate language; the expressivity of this extension is, however, acquired via mixed use of objectual and substitutional quantifiers.

Related Organizations

Stony Brook University
United States

Keywords

quantifiers, Logic of natural languages, directional entailingness, natural language determiners, logical form

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