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Cet ouvrage s'appuie sur les ressources de la logique dialogique pour proposer une lecture originale de l'intuitionnisme mathématique, assumant sa composante subjectiviste. L'enrichissement du dispositif des dialogues au moyen d'outils sémiotiques permet aussi de renouveler le concept de dialogue.

Mathématiques intuitionnistes. --- Brouwer, Luitzen Egbertus Jan, 1881-1966 --- Mathématiques intuitionnistes --- Mathématiques --- Dialogue (littérature) --- Brouwer, Luitzen Egbertus Jan, --- Critique et interprétation. --- Intuitionistic mathematics --- Mathematics --- Brouwer, L. E. J. (Luitzen Egbertus Jan), 1881-1966

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Intuitionistic mathematics --- Phenomenology --- Sequences (Mathematics) --- Mathematical sequences --- Numerical sequences --- Algebra --- Mathematics --- Philosophy, Modern --- Constructive mathematics --- Brouwer, L. E. J. --- Husserl, Edmund --- Husserl, Edmond --- Brouwer, Luitzen Egbertus Jan, --- Phenomenology. --- Intuitionistic mathematics. --- Husserl, Edmund, --- Sequences (Mathematics). --- Brouwer, Bertus, --- Brouwer, L. E. J. - (Luitzen Egbertus Jan), - 1881-1966. --- Husserl, Edmund, - 1859-1938.

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L.E.J. Brouwer (1881-1966) is best known for his revolutionary ideas on topology and foundations of mathematics (intuitionism). The present collection contains a mixture of letters; university and faculty correspondence has been included, some of which shed light on the student years, and in particular on the exchange of letters with his PhD adviser, Korteweg. Acting as the natural sequel to the publication of Brouwer’s biography, this book provides instrumental reading for those wishing to gain a deeper understanding of Brouwer and his role in the twentieth century. Striking a good balance of biographical and scientific information, the latter deals with innovations in topology (Cantor-Schoenflies style and the new topology) and foundations. The topological period in his research is well represented in correspondence with Hilbert, Schoenflies, Poincaré, Blumenthal, Lebesgue, Baire, Koebe, and foundational topics are discussed in letters exchanged with Weyl, Fraenkel, Heyting, van Dantzig and others. There is also a large part of correspondence on matters related to the interbellum scientific politics. This book will appeal to both graduate students and researchers with an interest in topology, the history of mathematics, the foundations of mathematics, philosophy and general science.

Algebraic topology. --- Brouwer, L. E. J. (Luitzen Egbertus Jan), 1881-1966. --- Topology. --- Intuitionistic mathematics --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- History --- Mathematicians --- Brouwer, L. E. J. --- Brouwer, Luitzen Egbertus Jan, --- Mathematics. --- Philosophy. --- Logic. --- History. --- Mathematical logic. --- History of Mathematical Sciences. --- Mathematical Logic and Foundations. --- Philosophy, general. --- Scientists --- Logic, Symbolic and mathematical. --- Philosophy (General). --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Algebras, Linear --- Methodology --- Math --- Mental philosophy --- Humanities --- Annals --- Auxiliary sciences of history --- Brouwer, Bertus,