Varieties of constructive mathematics

Douglas Bridges, Fred Richman

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.

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[目次]

  • 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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この本の情報

書名 Varieties of constructive mathematics
著作者等 Bridges, D. S.
Richman, Fred
Hitchin N.J.
Bridges Douglas
シリーズ名 London Mathematical Society lecture note series
出版元 Cambridge University Press
刊行年月 1987
ページ数 x, 149 p.
大きさ 23 cm
ISBN 0521318025
NCID BA00530653
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言語 英語
出版国 イギリス
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