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Constructivism in Mathematics, Vol 1: Volume 121

Constructivism in Mathematics, Vol 1: Volume 121

Hardcover

Series: Studies in Logic and the Foundations of Mathematics, Book 121

FictionSports GeneralGeneral Computers

ISBN10: 0444702660
ISBN13: 9780444702661
Publisher: Elsevier Science
Published: Jul 1 1988
Pages: 355
Weight: 1.56
Height: 0.88 Width: 6.14 Depth: 9.21
Language: English

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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Troelstra, A. S.

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Fiction