Varieties of Constructive Mathematics

Erscheinungsjahr 1987
ISBN: 978-0-521-31802-0
Verlag: Cambridge University Press

Buch, Englisch, Band 97, 159 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 242 g

Reihe: London Mathematical Society Lecture Note Series

This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, with comparisons between the various approaches included where appropriate. Constructive mathematics is now enjoying a revival, with interest from not only logicans but also category theorists, recursive function theorists and theoretical computer scientists. This account for non-specialists in these and other disciplines.

Autoren/Hrsg.

Bridges, Douglas S.

Richman, Fred

Bridges/Richman

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

1. The foundations of constructive mathematics; 2. Constructive analysis; 3. Russian constructive mathematics; 4. Constructive algebra; 5. Intuitionism; 6. Contrasting varieties; 7. Intuitionistic logic and topos theory; Index.