000 03764nam a22004575i 4500
001 978-3-7643-8653-5
003 DE-He213
005 20161121230835.0
007 cr nn 008mamaa
008 100301s2008 sz | s |||| 0|eng d
020 _a9783764386535
_9978-3-7643-8653-5
024 7 _a10.1007/978-3-7643-8653-5
_2doi
050 4 _aD1-DX301
072 7 _aPDX
_2bicssc
072 7 _aSCI034000
_2bisacsh
082 0 4 _a509
_223
245 1 0 _aOne Hundred Years of Intuitionism (1907–2007)
_h[electronic resource] :
_bThe Cerisy Conference /
_cedited by Mark van Atten, Pascal Boldini, Michel Bourdeau, Gerhard Heinzmann.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2008.
300 _aXIII, 422 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aPublications des Archives Henri Poincaré / Publications of the Henri Poincaré Archives
505 0 _aBrouwer 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.
520 _aWith 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.
650 0 _aHistory.
650 1 4 _aHistory.
650 2 4 _aHistory of Science.
700 1 _aAtten, Mark van.
_eeditor.
700 1 _aBoldini, Pascal.
_eeditor.
700 1 _aBourdeau, Michel.
_eeditor.
700 1 _aHeinzmann, Gerhard.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764386528
830 0 _aPublications des Archives Henri Poincaré / Publications of the Henri Poincaré Archives
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7643-8653-5
912 _aZDB-2-SHU
950 _aHumanities, Social Sciences and Law (Springer-11648)
999 _c504744
_d504744