000 | 03764nam a22004575i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-3-7643-8653-5 _2doi |
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050 | 4 | _aD1-DX301 | |
072 | 7 |
_aPDX _2bicssc |
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072 | 7 |
_aSCI034000 _2bisacsh |
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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. |
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300 |
_aXIII, 422 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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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. |
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700 | 1 |
_aBoldini, Pascal. _eeditor. |
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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 |