Constructivity and computability in historical and philosophical perspective

Jacques Dubucs, Michel Bourdeau (eds)

Springer - Berlin

2014

Ranging from Alan Turing's seminal 1936 paper to the latest work on Kolmogorov complexity and linear logic, this comprehensive new work clarifies the relationship between computability on the one hand and constructivity on the other. The authors argue that even though constructivists have largely shed Brouwer's solipsistic attitude to logic, there remain points of disagreement to this day.

One hundred years of intuitionism (1907–2007)

Pascal Boldini, Michel Bourdeau, Gerhard Heinzmann (eds)

Springer - Berlin

2008

With logicism and formalism, intuitionism is one of the main foundations for mathematics proposed in the twentieth century; and since the seventies, notably its views on logic have become important also outside foundational studies, with the development of theoretical computer science.

The aim of the book is threefold: to review and complete the historical account of intuitionism; to present recent philosophical work on intuitionism; and to give examples of new technical advances and applications of intuitionism.