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The Foundations Of Mathematics In The Theory Of Sets 1st Edition John P Mayberry

SKU: BELL-4732794

$ 31.00 ~~$ 45.00~~ (-31%)

4.7

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The Foundations Of Mathematics In The Theory Of Sets 1st Edition John P Mayberry instant download after payment.

Publisher: Cambridge University Press

File Extension: PDF

File size: 20.39 MB

Pages: 446

Author: John P. Mayberry

ISBN: 9780521172714, 9780521770347, 9781107089396, 9781139087124, 0521172713, 0521770343, 1107089395, 1139087126

Language: English

Year: 2001

Edition: 1

Product desciption

The Foundations Of Mathematics In The Theory Of Sets 1st Edition John P Mayberry by John P. Mayberry 9780521172714, 9780521770347, 9781107089396, 9781139087124, 0521172713, 0521770343, 1107089395, 1139087126 instant download after payment.

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.
• Written by a leading researcher in the field
• Of interest to philosophers as well as mathematicians
• At the time of publication, there were no other books that deal with the foundations of mathematics in such detail