【1988】Constructivism in mathematics: An introduction
Book 图书名称:Constructivism in mathematics: An introduction
Author 作者: A. S. Troelstra and D. van Dalen
Publisher 出版社: Elsevier Science
Page 页数:606
Publishing Date 出版时间: Jul 15, 1988
Language 语言: English
Size 大小: 7 MB
Format 格式: pdf 文字版
ISBN: ISBN-13: 978-0444702661 , ISBN-10: 0444702660
Edition: 第1版 搜索过论坛,没有该文档
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.