| Description |
1 online resource (xiii, 422 pages) : illustrations |
| Series |
Publications des Archives Henri-Poincaré = Publications of the Henri Poincaré archives |
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Publications des Archives Henri-Poincaré.
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| 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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references (pages 391-416) and index |
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"A bibliography of leaves E.J. Brouwer": pages 343-390 |
| Notes |
Print version record |
| Subject |
Brouwer, L. E. J. (Luitzen Egbertus Jan), 1881-1966.
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| SUBJECT |
Brouwer, L. E. J., 1881-1966. cct |
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Brouwer, L. E. J. (Luitzen Egbertus Jan), 1881-1966 fast |
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Brouwer, Luitzen E. J. -- Bibliographie. swd |
| Subject |
Intuitionistic mathematics.
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Mathematics -- Philosophy.
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MATHEMATICS -- Infinity.
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MATHEMATICS -- Logic.
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Intuitionistic mathematics.
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Mathematics -- Philosophy.
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Sciences humaines.
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Sciences sociales.
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Intuitionistic mathematics
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Mathematics -- Philosophy
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Intuitionistische Mathematik -- Kongress -- Cerisy-la-Salle <2007>
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Atten, Markus Sebastiaan Paul Rogier van, 1973-
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|
1907-2007: one hundred years of intuitionism (2007 : Cerisy, France)
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| LC no. |
2008930404 |
| ISBN |
9783764386535 |
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3764386533 |
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9783764386528 |
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3764386525 |
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