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The Foundations of Mathematics in the Theory of Sets by John P. Mayberry
The Foundations of Mathematics in the Theory of Sets by John P. Mayberry
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The Foundations of Mathematics in the Theory of Sets

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Description

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.
Release date Australia
October 27th, 2011
Audience
  • Professional & Vocational
Pages
446
Dimensions
156x234x23
ISBN-13
9780521172714
Product ID
7934557

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