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Constructivism in Mathematics, Vol 1 by A. S. Troelstra

Constructivism in Mathematics, Vol 1

by A. S. Troelstra
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Book cover type: Hardcover
  • ISBN13: 9780444702661
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Elsevier Science
  • Publisher Imprint: Elsevier Science
  • Publication Date:
  • Pages: 355
  • Original Price: USD 72.95
  • Language: English
  • Edition: N/A
  • Item Weight: 708 grams
  • BISAC Subject(s): Logic, History, and Information Theory

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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