Constructivism in Mathematics, Vol 1

Constructivism in Mathematics, Vol 1
Author :
Publisher : Elsevier
Total Pages : 378
Release :
ISBN-10 : 9780080570884
ISBN-13 : 0080570887
Rating : 4/5 (84 Downloads)

Book Synopsis Constructivism in Mathematics, Vol 1 by : A.S. Troelstra

Download or read book Constructivism in Mathematics, Vol 1 written by A.S. Troelstra and published by Elsevier. This book was released on 1988-07-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathematics of co