The Foundations of Mathematics in the Theory of Sets (Paperback) (ISBN-13: 9780521172714)

This unified approach to the foundations of mathematics in the theory of sets covers 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". The book contains an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, and the analysis of proof by induction and definition by recursion. The book should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.

Author: John P. Mayberry
ISBN-10: 0521172713
ISBN-13: 9780521172714
Publisher: Cambridge University Press
Language: English
Published: 10/27/2011
Pages: 446
Format: Paperback
Weight: 1.37lbs
Size: 9.21h x 6.14w x 0.90d