Constructivism in Mathematics, Vol 1

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.

Détails du produit

• Auteurs: D. van Dalen, A.S. Troelstra, A.s. Van Dalen Troelstra, D. van Dalen
• Edition: ELSEVIER SCIENCE BV
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 01.07.1988
• EAN: 9780444702661
• ISBN: 978-0-444-70266-1
• Pages: 355
• Thème: Studies in Logic and the Foundations of Mathematics
• Catégories: Sciences naturelles, médecine, informatique, technique > Informatique, ordinateurs > Informatique; MATHEMATICS / History & Philosophy, Mathematical foundations