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One Hundred Years of Intuitionism (1907–2007)

The Cerisy Conference

  • Mark van Atten
  • Pascal Boldini
  • Michel Bourdeau
  • Gerhard Heinzmann

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Brouwer and Brouwerian intuitionism

  3. Kindred spirits

  4. Mathematical perspectives

    1. Front Matter
      Pages 241-241
    2. Per Martin-Löf
      Pages 243-256
    3. Anton Setzer
      Pages 257-279
    4. Mitsuhiro Okada
      Pages 280-300
    5. Douglas Bridges
      Pages 316-325
    6. Michael Dummett
      Pages 341-342
    7. Dirk van Dalen
      Pages 343-390
  5. Back Matter
    Pages 391-422

About this book

Introduction

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 21 contributions 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.

Keywords

1907 Intuitionism Ludwig Wittgenstein computer computer science experience knowledge logic mathematics mind proof proof theory science set theory type theory

Editors and affiliations

  • Mark van Atten
    • 1
  • Pascal Boldini
    • 2
  • Michel Bourdeau
    • 1
  • Gerhard Heinzmann
    • 3
  1. 1.IHPSTCNRS/Paris I/ENSParisFrance
  2. 2.CAMS-EHESSUniversité Paris-Sorbonne Maison de la RechercheParisFrance
  3. 3.Archives H. PoincaréNancy-Université/CNRSNancy CXFrance

Bibliographic information