Varieties of Constructive Mathematics

This is an introduction to, and survey of, the constructive approaches to pure mathematics.

Douglas Bridges (Author), Fred Richman (Author)

9780521318020, Cambridge University Press

Paperback, published 24 April 1987

160 pages
23 x 15.4 x 1.1 cm, 0.248 kg

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.

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.

Subject Areas: Mathematical foundations [PBC]