The Leading eBooks Store Online 4,034,055 members ⚫ 1,328,001 ebooks

New to eBooks.com?

Learn more

Essays in Constructive Mathematics

Essays in Constructive Mathematics by Harold M. Edwards
Buy this eBook
US$ 129.00
(If any tax is payable it will be calculated and shown at checkout.)
He [Kronecker] was, in fact, attempting to describe and to initiate a new branch of mathematics, which would contain both number theory and alge­ braic geometry as special cases.—Andre Weil [62] This book is about mathematics, not the history or philosophy of mathemat­ ics. Still, history and philosophy were prominent among my motives for writing it, and historical and philosophical issues will be major factors in determining whether it wins acceptance. Most mathematicians prefer constructive methods. Given two proofs of the same statement, one constructive and the other not, most will prefer the constructive proof. The real philosophical disagreement over the role of con­ structions in mathematics is between those—the majority—who believe that to exclude from mathematics all statements that cannot be proved construc­ tively would omit far too much, and those of us who believe, on the contrary, that the most interesting parts of mathematics can be dealt with construc­ tively, and that the greater rigor and precision of mathematics done in that way adds immensely to its value.
Springer New York; February 2007
227 pages; ISBN 9780387271309
Read online, or download in secure PDF format
Title: Essays in Constructive Mathematics
Author: Harold M. Edwards
 
  • News
  • Contents
No entry found
ISBNs
0387271309
9780387219783
9780387271309