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Plural Logic
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Plural Logic: Second Edition, Revised and Enlarged

Alex Oliver and Timothy Smiley

Abstract

This book tackles the logic of plural terms (‘Whitehead and Russell’, ‘the men who wrote Principia Mathematica’, ‘Henry VIII's wives’, ‘the real numbers’, ‘√—1’, ‘they’); plural predicates (‘surrounded the fort’, ‘are prime’, ‘are consistent’, ‘imply’); and plural quantification (‘some things’, ‘any things’). Current logic is singularist: it only allows terms to stand for at most one thing. By contrast, the foundational thesis of this book is that a particular term may legitimately stand for several things at once, in other words, there is such a thing as genuinely plural denotation. Plural lo ... More

Keywords: Cantorian set theory, collective, description, distributive, higher-level plural logic, list, multivalued function, plural denotation, plural logic, plural term, singularist

Bibliographic Information

Print publication date: 2016 Print ISBN-13: 9780198744382
Published to Oxford Scholarship Online: February 2017 DOI:10.1093/acprof:oso/9780198744382.001.0001

Authors

Affiliations are at time of print publication.

Alex Oliver, author
University of Cambridge

Timothy Smiley, author
University of Cambridge