Varieties of Constructive Mathematics

ISBN-13: 9780521318020 / Angielski / Miękka / 1987 / 160 str.

Douglas S. Bridges; Fred Richman;Bridges/Richman

Opis

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.

Spis treści

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.