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.
| ISBN: | 9780444702661 |
| Publication date: | 1st July 1988 |
| Author: | A.S. Troelstra, D. van Dalen |
| Publisher: | Elsevier Science Ltd an imprint of Elsevier Science & Technology |
| Format: | Hardback |
| Pagination: | 355 pages |
| Series: | Studies in Logic and the Foundations of Mathematics |
| Genres: |
Cybernetics and systems theory Mathematical foundations Mathematical logic Discrete mathematics Algorithms and data structures Mathematics Information theory |