The Foundations of Mathematics in the Theory of Sets
Book Details
Format
Paperback / Softback
Book Series
Encyclopedia of Mathematics and its Applications
ISBN-10
0521172713
ISBN-13
9780521172714
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 27th, 2011
Print length
446 Pages
Weight
672 grams
Dimensions
23.70 x 16.70 x 2.50 cms
Product Classification:
Mathematical logicSet theory
Ksh 12,400.00
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This 2001 book presents a unified approach to the foundations of mathematics in the theory of sets, covering conventional and finitary mathematics. It analyses the relation between the concepts of 'natural number' and 'set', and investigates the logic of quantification over the universe of sets. Suitable for both philosophers and mathematicians.
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.
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