One hundred years of intuitionism (1907-2007) : the Cerisy conference / Mark van Atten [and others], editors.

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: 1907-2007: one hundred years of intuitionism
Other Authors: Atten, Markus Sebastiaan Paul Rogier van, 1973-
Format: eBook
Language:English
Published: Basel ; Boston : Birkhauser, ©2008.
Series:Publications des Archives Henri-Poincaré.
Subjects:
Online Access:Click for online access

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245 0 0 |a One hundred years of intuitionism (1907-2007) :  |b the Cerisy conference /  |c Mark van Atten [and others], editors. 
260 |a Basel ;  |a Boston :  |b Birkhauser,  |c ©2008. 
300 |a 1 online resource (xiii, 422 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Publications des Archives Henri-Poincaré =  |a Publications of the Henri Poincaré archives 
504 |a Includes bibliographical references (pages 391-416) and index. 
504 |a "A bibliography of leaves E.J. Brouwer": pages 343-390 
588 0 |a Print version record. 
520 |a 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. 
505 0 |a 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. 
506 |a University staff and students only. Requires University Computer Account login off-campus. 
600 1 0 |a Brouwer, L. E. J.  |q (Luitzen Egbertus Jan),  |d 1881-1966. 
600 1 7 |a Brouwer, L. E. J.,  |d 1881-1966.  |2 cct 
600 1 7 |a Brouwer, L. E. J.  |q (Luitzen Egbertus Jan),  |d 1881-1966  |2 fast  |1 https://id.oclc.org/worldcat/entity/E39PBJrgJvTwkCbKxM8XjyDXh3 
600 1 7 |a Brouwer, Luitzen E. J.  |v Bibliographie.  |2 swd 
650 0 |a Intuitionistic mathematics. 
650 0 |a Mathematics  |x Philosophy. 
650 7 |a MATHEMATICS  |x Infinity.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Logic.  |2 bisacsh 
650 0 7 |a Intuitionistic mathematics.  |2 cct 
650 0 7 |a Mathematics  |x Philosophy.  |2 cct 
650 7 |a Sciences humaines.  |2 eclas 
650 7 |a Sciences sociales.  |2 eclas 
650 7 |a Intuitionistic mathematics  |2 fast 
650 7 |a Mathematics  |x Philosophy  |2 fast 
650 7 |a Intuitionistische Mathematik  |v Kongress  |z Cerisy-la-Salle <2007>  |2 swd 
655 7 |a proceedings (reports)  |2 aat 
655 7 |a Conference papers and proceedings  |2 fast 
655 7 |a Conference papers and proceedings.  |2 lcgft 
655 7 |a Actes de congrès.  |2 rvmgf 
700 1 |a Atten, Markus Sebastiaan Paul Rogier van,  |d 1973-  |1 https://id.oclc.org/worldcat/entity/E39PCjK3rmXQJM6Bm8wTqFdTXm 
711 2 |a 1907-2007: one hundred years of intuitionism  |d (2007 :  |c Cerisy, France) 
776 0 8 |i Print version:  |t One hundred years of intuitionism (1907-2007).  |d Basel ; Boston : Birkhauser, ©2008  |z 3764386525  |z 9783764386528  |w (DLC) 2008930404  |w (OCoLC)181328068 
830 0 |a Publications des Archives Henri-Poincaré. 
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