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 and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.
I. THE LOGICAL CONCEPTION OF QUANTIFIERS AND QUANTIFICATION; II. QUANTIFIERS OF NATURAL LANGUAGE; III. BEGINNINGS OF A THEORY OF EXPRESSIVENESS, TRANSLATION, AND FORMALIZATION; IV. LOGICAL RESULTS OF EXPRESSIBILITY WITH LINGUISTIC APPLICATIONS
Review from previous edition This is a high-quality, informative, and authoritative study, offering a clear overview of the denotational semantics of natural language quantifiers, some new results, and a first frontal assault on analysing the expressive power of natural languages. A substantial, intereresting, challenging work.