Quantifiers in Language and Logic

Paperback | May 15, 2008

byStanley Peters, Dag Westerstahl

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Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, many. Peters andWesterstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.

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Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, many. Peters andWesterstahl present the definitive interdisciplina...

Stanley Peters is a Professor in the Department of Linguistics at Stanford University. Dag Westerstahl is a Professor of Theoretical Philosophy at the University of Goteborg.

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Format:PaperbackDimensions:548 pages, 9.21 × 6.14 × 1.14 inPublished:May 15, 2008Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199291268

ISBN - 13:9780199291267

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Table of Contents

QuantificationI. The Logical Conception of Quantifiers and Quantification1. A Brief History of Quantification2. The Emergence of Generalized Quanitifiers in Modern LogicII. Quantifiers of Natural Language3. Type 1 Quantifiers of Natural and Logical Languages4. Type 1,1 Quantifiers of Natural Language5. Monotone Quantifiers6. Symmetry and Other Relational Properties of Type 1,1 Quantifiers7. Possessive Quantifiers8. Exceptive Quantifiers9. Which Quantifiers are Logical?10. Some Polyadic Quantifiers of Natural LanguageIII. Beginnings of a Theory of Expressiveness, Translation, and Formalization11. The Concept of Expressivity12. Expressibility, Definability, CompositionalityIV. Logical Results of Expressibility with Linguistic Applications13. Definability and Undefinability in Logical Languages: Tools for the Monadic Case14. Applications to Monadic Definability15. EF-tools for Polyadic Quantifiers

Editorial Reviews

`This book gives a comprehensive account of quantifiers in both natural and formal languages, drawing on both linguistics and model theory. It creates a number of paradigms, because nothing so general has been attempted before. Much of the material is new or has never appeared in book form,but the authors have taken enormous care to pitch their exposition at a level that non-specialists can follow.'Wilfrid Hodges, Queen Mary University of London