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Plural Logic
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Plural Logic

Alex Oliver and Timothy Smiley

Abstract

This book aims to be the natural point of entry to what will be a new subject for most readers. Technicalities have been kept to a minimum, and anyone who is familiar with the classical predicate calculus should be able to follow it. The 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 st ... More

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

Bibliographic Information

Print publication date: 2013 Print ISBN-13: 9780199570423
Published to Oxford Scholarship Online: September 2013 DOI:10.1093/acprof:oso/9780199570423.001.0001

Authors

Affiliations are at time of print publication.

Alex Oliver, author
University of Cambridge

Timothy Smiley, author
University of Cambridge

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