Constructivism in Mathematics, Vol 1

A.S. Troelstra (Author), D. van Dalen (Author)

9780444702661, Elsevier Science

Hardback, published 1 July 1988

355 pages
23.3 x 15.6 x 2.5 cm, 0.66 kg

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.

Subject Areas: Algorithms & data structures [UMB], Discrete mathematics [PBD], Mathematical logic [PBCD], Mathematical foundations [PBC], Mathematics [PB], Cybernetics & systems theory [GPFC], Information theory [GPF]