176453

Springer, Dordrecht

2008

422 Pages

ISBN 978-3-7643-8652-8

One hundred years of intuitionism (1907–2007)

the Cerisy conference

Edited by

Pascal Boldini , Michel Bourdeau, Gerhard Heinzmann

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. This volume brings together 21contributions by today's leading authors on these topics, and surveys the philosophical, logical and mathematical implications of the approach initiated in 1907 in L.E.J. Brouwer's dissertation.

Publication details

DOI: 10.1007/978-3-7643-8653-5

Full citation:

Boldini, P. , Bourdeau, M. , Heinzmann, G. (eds) (2008). One hundred years of intuitionism (1907–2007): the Cerisy conference, Springer, Dordrecht.

Table of Contents

Brouwerian infinity

Posy Carl J

21-36

Open Access Link
The new intuitionism

McCarty Charles

37-49

Open Access Link
Truth and experience of truth

Dubucs Jacques

50-59

Open Access Link
The proper explanation of intuitionistic logic

Sundholm Göran; Van Atten Mark

60-77

Open Access Link
Poincaré

Heinzmann Gerhard; Nebonnand Philippe

163-177

Open Access Link
Some remarks on linear logic

Okada Mitsuhiro

280-300

Open Access Link
A Reverse look at Brouwer's fan theorem

Bridges Douglas

316-325

Open Access Link
A bibliography of L.E.J. Brouwer

Dirk van Dalen

343-390

Open Access Link

This document is unfortunately not available for download at the moment.