Constructivism in Mathematics, Vol 1: Volume 121 Contributor(s): Troelstra, A. S. (Author), Van Dalen, D. (Author) |
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ISBN: 0444702660 ISBN-13: 9780444702661 Publisher: Elsevier Science OUR PRICE: $222.75 Product Type: Hardcover Published: July 1988 |
Additional Information |
BISAC Categories: - Mathematics | Logic - Science | History - Computers | Information Theory |
Dewey: 511.3 |
LCCN: 88005240 |
Series: Studies in Logic and the Foundations of Mathematics |
Physical Information: 0.88" H x 6.14" W x 9.21" (1.56 lbs) 355 pages |
Descriptions, Reviews, Etc. |
Publisher Description: These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov's constructivism and Martin-Lof's type theory with its operational semantics. A detailed exposition of the basic features of constructive mathematics, with illustrations from analysis, algebra and topology, is provided, with due attention to the metamathematical aspects. Volume 1 is a self-contained introduction to the practice and foundations of constructivism, and does not require specialized knowledge beyond basic mathematical logic. Volume 2 contains mainly advanced topics of a proof-theoretical and semantical nature. |