FOUNDATIONS OF MATHEMATICS IN THE THEORY OF SETS by Mayberry, John P ISBN 0521770343

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[edit] FOUNDATIONS OF MATHEMATICS IN THE THEORY OF SETS

This book should appeal to mathematicians and philosophers interested in the foundations of mathematics.

This 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.

[edit] Book Details

[edit] Title

FOUNDATIONS OF MATHEMATICS IN THE THEORY OF SETS

[edit] Author

Mayberry, John P

[edit] ISBN

0521770343

[edit] Published

22/03/2001

[edit] Publisher

Cambridge University Press

[edit] Binding

hardback

[edit] Retail Price

70 (GBP)

[edit] Typical Price Online

68.6 (GBP)

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ISBN 0521770343


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