Quantifiers in language and logic / Stanley Peters, Dag Westerståhl.

Format:

Book

Author/Creator:

Peters, Stanley, 1941- author.

Westerståhl, Dag, 1946- author.

Language:

English

Subjects (All):

Grammar, Comparative and general--Quantifiers.

Grammar, Comparative and general.

Language and logic.

Semantics.

Physical Description:

1 online resource (xix, 528 pages)

Place of Publication:

Oxford : Clarendon Press ; New York : Oxford University Press, 2006.

Summary:

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. This book presents the interdisciplinary exploration of how they work, their syntax, semantics, and inferential role.

Contents:

A brief history of quantification

The emergernce of generalized quanitifiers in modern logic

Type [1] quantifiers of natural and logical languages

Type [1, 1] quantifiers of natural language

Monotone quantifiers

Symmetry and other relational properties of type [1, 1] quantifiers

Possessive quantifiers

Exceptive quantifiers

Which quantifiers are logical?

Some polyadic quantifiers of natural language

The concept of expressiveness

Formalization : expressibility, definability, compositionality

Definability and undefinability in logical languages : tools for the monadic case

Applications to monadic definability

EF-tools for polyadic quantifiers.

Notes:

Includes bibliographical references and index.

Description based on print version record.

Other Format:

Print version

ISBN:

0-19-170059-2

0-19-929126-8