One Hundred Years of Intuitionism (1907-2007)

The Cerisy Conference

AvMark van Atten,Pascal Boldini

Inbunden, Engelska, 2008

Del i serien Science autour de / around 1900

1 062 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2008-07-17
Mått:155 x 235 x undefined mm
Format:Inbunden
Språk:Engelska
Serie:Science autour de / around 1900
Antal sidor:422
Förlag:Birkhauser Verlag AG
ISBN:9783764386528

Utforska kategorier

Filosofiska discipliner inom Filosofi och religion

Innehållsförteckning

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 remarkson 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.