Set Theory and Its Philosophy
A Critical Introduction
By (author) Michael Potter
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Set Theory and Its Philosophy by Michael Potter
Book DescriptionA comprehensive 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.
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Book DetailsISBN: 9780199269730
(241mm x 163mm x 23mm)
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 15-Jan-2004
Country of Publication: United Kingdom
Books By Author Michael Potter
Wittgenstein's Notes on Logic, Paperback (January 2011)
Michael Potter shows, for the first time, that Wittgenstein's early Notes on Logic are a work of philosophical and historical importance. Using a challenging blend of biography and philosophy, he draws new conclusions about the nature of the Notes, the genesis of the Tractatus, and Wittgenstein's working methods.
Cambridge Companion to Frege, Paperback (September 2010)
Offers a comprehensive and accessible exploration of the scope and importance of Gottlob Frege's work.
Set Theory and Its Philosophy, Paperback (January 2004)
Offering a philosophical introduction to set theory, this book interweaves a presentation of the technical material with a philosophical critique. At every stage, it discusses the reasons that can be offered for believing it to be true. It is designed as a key text for philosophy, mathematical logic, and computer science.
Reason's Nearest Kin, Paperback (June 2002)» View all books by Michael Potter
Reassessing the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as our understanding of mathematics, Michael Potter places arithmetic at the interface between experience, language, thought, and the world.
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Author Biography - Michael Potter
Michael Potter is University Lecturer in Philosophy, and Fellow of Fitzwilliam College, at Cambridge. He is the author of Sets (1990), on which the present work draws but which was written for a more specialist readership, and Reason's Nearest Kin (2000).
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