One Hundred Years of Intuitionism (1907-2007) The Cerisy Conference

One Hundred Years of Intuitionism (1907-2007) The Cerisy Conference / edited by Mark van Atten, 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 th...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: van Atten, Mark (Editor), Boldini, Pascal (Editor), Bourdeau, Michel (Editor), Heinzmann, Gerhard (Editor)
Format: eBook
Language:English
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Edition:1st ed. 2008.
Series:Science autour de / around 1900,
Springer eBook Collection.
Subjects:
History.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Brouwer and Brouwerian intuitionism
  • Another look at Brouwer’s dissertation
  • Brouwerian infinity
  • The new intuitionism
  • Truth and experience of truth
  • The proper explanation of intuitionistic logic: on Brouwer’s demonstration of the Bar Theorem
  • The intersection of intuitionism (Brouwer) and phenomenology (Husserl)
  • Brouwer on ‘hypotheses’ and the middle Wittgenstein
  • Brouwer’s notion of intuition and theory of knowledge by presence
  • Buddhist models of the mind and the common core thesis on mysticism
  • Kindred spirits
  • Remarks on the supposed french’ semi-’ or ‘pre-intuitionism’
  • Poincaré: intuitionism, intuition, and convention
  • Some of Julius König’s mathematical dreams in his New Foundations of Logic, Arithmetic, and Set Theory
  • Gödel, constructivity, impredicativity, and feasibility
  • Lorenzen’s operative justification of intuitionistic logic
  • Mathematical perspectives
  • The Hilbert-Brouwer controversy resolved?
  • Proof theory and Martin-Löf Type Theory
  • Some remarks on linear logic
  • Two applications of dynamic constructivism: Brouwer’s continuity principle and choice sequences in formal topology
  • A reverse look at Brouwer’s Fan Theorem
  • Some applications of Brouwer’s Thesis on Bars
  • Concluding remarks at the Cerisy conference
  • A bibliography of L.E.J. Brouwer.

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