Constructivism in Mathematics, Vol 1

A.S. Troelstra, D. Van Dalen (Autoren)

Buch | Hardcover

355 Seiten

1988
Elsevier Science Ltd (Verlag)
9780444702661 (ISBN)

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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.

1. Introduction. 2. Logic. 3. Arithmetic. 4. Non-Classical Axioms. 5. Real Numbers. 6. Some Elementary Analysis. Bibliography. Index.

Erscheint lt. Verlag	1.7.1988
Reihe/Serie	Studies in Logic and the Foundations of Mathematics
Verlagsort	Oxford
Sprache	englisch
Maße	156 x 234 mm
Gewicht	660 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
ISBN-13	9780444702661 / 9780444702661
Zustand	Neuware