One Hundred Years of Intuitionism (1907-2007): The Cerisy Conference / Edition 1

One Hundred Years of Intuitionism (1907-2007): The Cerisy Conference / Edition 1

by Mark van Atten, Pascal Boldini, Michel Bourdeau, Gerhard Heinzmann
     
 

ISBN-10: 3764386525

ISBN-13: 9783764386528

Pub. Date: 07/17/2008

Publisher: Birkhauser Basel

Intuitionism is one of the main foundations for mathematics proposed in the twentieth century and its views on logic have also notably become important with the development of theoretical computer science. This book reviews and completes the historical account of intuitionism. It also presents recent philosophical work on intuitionism and gives examples of new

Overview

Intuitionism is one of the main foundations for mathematics proposed in the twentieth century and its views on logic have also notably become important with the development of theoretical computer science. This book reviews and completes the historical account of intuitionism. It also presents recent philosophical work on intuitionism and gives examples of new technical advances and applications. It brings together 21 contributions from today's leading authors on intuitionism.

Product Details

ISBN-13:
9783764386528
Publisher:
Birkhauser Basel
Publication date:
07/17/2008
Edition description:
2008
Pages:
422
Product dimensions:
6.70(w) x 9.20(h) x 1.40(d)

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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