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The Foundations of Mathematics in the Theory of Sets

Name: The Foundations of Mathematics in the Theory of Sets
Price: 139.59 GBP
Availability: InStock
Author: John P. Mayberry
ISBN: 9780521770347

by John P. Mayberry

Hardback
446 pages
Publisher: Cambridge University Press
15.6 x 23.4 x 2.6 cm

Today‘s price£139.59

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For philosophers and mathematicians interested in foundations

Clarifies the relationship between numbers and sets

You will deepen your understanding of mathematical logic

This book explores the foundations of mathematics through set theory.

Our Mission

Equipping you for life's journey with Jesus:

Now a team of 60 – we've been serving the Church since 2004
Together we've raised over £1,000,000 for UK Christian charities
25,000 churches are using the Eden Plus account

Free delivery on orders over £10

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.