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Rigor and Structure | Oxford Scholarship Online
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Rigor and Structure

John P. Burgess

Abstract

We are commonly told that the distinctive method of mathematics is rigorous proof, and that the special topic of mathematics is abstract structure. But what do such formulations really mean? And how are they related? This book offers an account of how the requirement of rigor (that however one discovers a conjecture, it is not justified as a theorem until one has given a proof) historically has been and currently is understood. This account frankly acknowledges the degree to which there are still disagreements among leading mathematicians about such matters, and the extent to which such agreem ... More

Keywords: rigor, structure, foundation, set theory, category theory

Bibliographic Information

Print publication date: 2015 Print ISBN-13: 9780198722229
Published to Oxford Scholarship Online: May 2015 DOI:10.1093/acprof:oso/9780198722229.001.0001

Authors

Affiliations are at time of print publication.

John P. Burgess, author
Princeton University