Constructivism in mathematics: An introduction

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Constructivism in mathematics: An...

Constructivism in mathematics: An introduction

Name: Constructivism in mathematics: An introduction
ISBN: 9780444705068

Anne S. Troelstra, Dirk van Dalen

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(Note: Volume 2 is NOT contained in this eBook.)
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.

Категории:

Mathematics

Том:

Volume 1

Год:

1988

Издательство:

North-Holland

Язык:

english

Страницы:

361