Plural Logic PDF
By:Alex Oliver,Timothy Smiley
Published on 2013-06-06 by OUP Oxford
Alex Oliver and Timothy Smiley provide a natural point of entry to what for most readers will be a new subject. Plural logic deals with plural terms ('Whitehead and Russell', 'Henry VIII's wives', 'the real numbers', 'the square root of -1', 'they'), plural predicates ('surrounded the fort', 'are prime', 'are consistent', 'imply'), and plural quantification ('some things', 'any things'). 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, before being applied to Cantorian set theory as an illustration. Technicalities have been kept to a minimum, and anyone who is familiar with the classical predicate calculus should be able to follow it. The authors' approach is an attractive blend of no-nonsense argumentative directness and open-minded liberalism, and they convey the exciting and unexpected richness of their subject. Mathematicians and linguists, as well as logicians and philosophers, will find surprises in this book. 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.
This Book was ranked at 13 by Google Books for keyword Linguistique.
Book ID of Plural Logic's Books is A1VoAgAAQBAJ, Book which was written byAlex Oliver,Timothy Smileyhave ETAG "oUoToID0kyw"
Book which was published by OUP Oxford since 2013-06-06 have ISBNs, ISBN 13 Code is 9780191644115 and ISBN 10 Code is 0191644110
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Book which have "352 Pages" is Printed at BOOK under CategoryPhilosophy
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