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.

# Computability, Logic, AI Algorithms # Computer Science # History and Theory of Mathematics # Arts and Humanities # Logic, programming, and type systems

Douglas Bridges, Fred Richman (1987). "Varieties of Constructive Mathematics". Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511565663