Varieties of constructive mathematics
Author(s)
Bibliographic Information
Varieties of constructive mathematics
(London Mathematical Society lecture note series, 97)
Cambridge University Press, 1987
Available at / 60 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:511.3/B8512070046767
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Description and Table of Contents
Description
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.
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.
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