Constructivism in mathematics: An introduction
Anne S. Troelstra, Dirk van Dalen
(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.
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.
श्रेणियाँ:
खंड:
Volume 1
साल:
1988
प्रकाशन:
North-Holland
भाषा:
english
पृष्ठ:
361
ISBN 10:
0444705066
ISBN 13:
9780444705068
श्रृंखला:
Studies in Logic and the Foundations of Mathematics 121
फ़ाइल:
DJVU, 2.06 MB
IPFS:
,
english, 1988
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