Constructivism in Mathematics, Vol 1 Vol. 1 |
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| Author:
| Troelstra, A. S.
van Dalen, D. |
| Series title: | Studies in Logic and the Foundations of Mathematics Ser. |
| ISBN: | 978-0-444-70266-1 |
| Publication Date: | Jul 1988 |
| Publisher: | Elsevier Science & Technology
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| Book Format: | Hardback |
| List Price: | USD $72.95 |
Book Description:
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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 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...
More 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.