Plural logic / Alex Oliver and Timothy Smiley.
- Second Edition, Revised and Enlarged
- Oxford : Oxford University Press, 2016.
xiv, 383 pages ; 24 cm
Grammar, Comparative and general -- Number.
- "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.
- The project
Changing the subject
Terms - singular and plural
The indeterminacy of plural denotation
Some basic ideas of plural logic
Full plural logic
Cantorian set theory
Higher-level plural logic
Postscript: unfinished business.
- Includes bibliographical references (pages 343-356) and index.
- Smiley, T. J. (Timothy John), author.
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