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Item Details
Title: THE FOUNDATIONS OF MATHEMATICS IN THE THEORY OF SETS
By: John P. Mayberry, G.-C. Rota, B. Doran
Format: Hardback

List price: £134.00
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ISBN 10: 0521770343
ISBN 13: 9780521770347
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 22 March, 2001
Series: Encyclopedia of Mathematics and Its Applications No.82
Pages: 446
Description: This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
Synopsis: This 2001 book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. The subject matter of the book falls on the borderline between philosophy and mathematics, and should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.
Illustrations: appendices, bibliography, index
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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