Set Theory and its Philosophy PDF
By:Michael Potter
Published on 2004-01-15 by Clarendon Press
Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
This Book was ranked at 38 by Google Books for keyword mathematics about sets.
Book ID of Set Theory and its Philosophy's Books is FxRoPuPbGgUC, Book which was written byMichael Potterhave ETAG "+szPuOkSd7Q"
Book which was published by Clarendon Press since 2004-01-15 have ISBNs, ISBN 13 Code is 9780191556432 and ISBN 10 Code is 0191556432
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Book which have "360 Pages" is Printed at BOOK under CategoryPhilosophy
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