THE FOUNDATIONS OF MATHEMATICS IN THE THEORY OF SETS by John P. Mayberry ( 9780521172714 )

Item Details

Title:

THE FOUNDATIONS OF MATHEMATICS IN THE THEORY OF SETS

By:

John P. Mayberry

Format:

Paperback

List price:

£66.00

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£57.75

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£8.25

ISBN 10:

0521172713

ISBN 13:

9780521172714

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

19 August, 2010

Series:

Encyclopedia of Mathematics and Its Applications 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.

Publication:

Imprint:

Cambridge University Press

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