| Edition |
Second Edition, Revised and Enlarged |
| Descript |
xiv, 383 pages ; 24 cm |
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text rdacontent |
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unmediated rdamedia |
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volume rdacarrier |
| Note |
Previous edition: 2013 |
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Includes bibliographical references (pages 343-356) and index |
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The project -- History -- Changing the subject -- Predicative analyses -- Terms - singular and plural -- The indeterminacy of plural denotation -- Some basic ideas of plural logic -- Plural descriptions -- Multivalued functions -- Lists -- Singular logic -- Mid-plural logic -- Full plural logic -- Cantorian set theory -- Higher-level plural logic -- Postscript: unfinished business |
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"Alex Oliver and Timothy Smiley provide the natural point of entry to what for most readers will be a new subject. Plural logic deals with plural terms, plural predicates, and plural quantification. Current logic is singularist: its terms 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. The authors argue that plural phenomena need to be taken seriously and that the only viable response is to adopt a plural logic, a logic based on plural denotation. They expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists. A formal system of plural logic is presented in three stages. This second edition includes a greatly expanded treatment of the paradigm empty term zilch, a much strengthened treatment of Cantorian set theory, and a new chapter on higher-level plural logic." --back cover |
| Subject |
Logic
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|
Grammar, Comparative and general -- Number
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| Alt Author |
Smiley, T. J. (Timothy John), author
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