Non-Fiction Books:

The Foundations of Mathematics in the Theory of Sets

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$362.99
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Description

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.
Release date Australia
March 22nd, 2001
Audience
  • Professional & Vocational
Pages
446
Dimensions
163x237x27
ISBN-13
9780521770347
Product ID
2161280

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