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Intermediate Quantities
Logic, Linguistics and Aristotelian Semantics



ISBN 9781138706040
Published January 16, 2019 by Routledge
294 Pages

 
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Book Description

This title was first published in 2000:  Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.

Table of Contents

Preface -- Introduction -- 1 “Few”, “Many”, and “Most” -- 2 The Compleat Syllogistic: Including Rules and Venn Diagrams for Five Quantities (with Robert Carnes) -- 3 The Grammar of Some English Quantifiers -- 4 Complexly Fractionated Quantifiers -- 5 Distribution and Proportion -- 6 Reasonings About Relations Bibliography -- Index.

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Author(s)

Biography

Professor of Philosophy. Department of Philosophy, Syracuse University New York, USA.