Constructivism in Mathematics, Vol 1

Erscheinungsjahr 1988
ISBN: 978-0-444-70266-1
Verlag: Elsevier Science & Technology

Buch, Englisch, 355 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 660 g

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.

Zielgruppe

Students and researchers in Logic (Mathematics, Computer Science, Philosophy).

Autoren/Hrsg.

Troelstra, A.S.

van Dalen, D.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten