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.

This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
Reviews
Review of the hardback: ' ... this book is thought-provoking ... distinctive approach to the twin issues of mathematical ontology and mathematical foundations'. Australasian Journal of Philosophy



Book Information
ISBN 9780521172714
Author John P. Mayberry
Format Paperback
Page Count 446
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 620g
Dimensions(mm) 234mm * 156mm * 23mm