Varieties of Constructive Mathematics
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.
- Electronic book text
- 11 May 2012
- CAMBRIDGE UNIVERSITY PRESS
- Cambridge University Press (Virtual Publishing)
- Cambridge, United Kingdom
Table of contents
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.