The foundations of mathematics in the theory of sets
John P. Mayberry
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
• 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
კატეგორია:
წელი:
2001
გამოცემა:
1
გამომცემლობა:
Cambridge University Press
ენა:
english
გვერდები:
445
ISBN 10:
0521770343
ISBN 13:
9780521770347
სერია:
Encyclopedia of mathematics and its applications
ფაილი:
DJVU, 2.64 MB
IPFS:
,
english, 2001