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Book
Mathématiques et littérature : une fascination réciproque
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ISBN: 2848840609 9782848840604 Year: 2007 Volume: 28 Publisher: Paris: Pole,

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Abstract

Mathématiques et littérature…deux mondes que l’on voudrait opposer et qui pourtant s’observe, dialoguent, s’inspirent mutuellement. D’Edgar Poe à Umberto Eco, de Lautréamont à Wislawa Szymborska, romanciers et poètes disent leur fascination pour les mathématiques, en émaillent leurs œuvres, chantent leur beauté dans leurs vers. Avec Pascal, Lewis Carroll, Sophie K., Claude Berge, Douglas Hofstadter,…on découvre que l’on peut être à la fois bon mathématicien et belle plume. Et si l’arithmétique et la symétrie sculptent depuis toujours la poésie, oulipiens et autres tenants de l’écriture à contraintes ont plus récemment apporté la preuve que les mathématiques offrent de formidables outils de création littéraire.


Book
La naissance des mathématiques à l'époque de Platon.
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ISBN: 2827105020 9782827105021 Year: 1990 Volume: 7 Publisher: Fribourg Editions Universitaires Fribourg

Aristotle and mathematics : aporetic method in cosmology and metaphysics.
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ISBN: 9004101594 9004320903 9789004101593 Year: 1995 Volume: 67 Publisher: Leiden Brill

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Abstract

John Cleary here explores the role which the mathematical sciences play in Aristotle's philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals with philosophical questions about the foundations of mathematics. The first two chapters consider Plato's mathematical cosmology in the light of Aristotle's critical distinction between physics and mathematics. Subsequent chapters examine three basic aporiae about mathematical objects which Aristotle himself develops in his science of first philosophy. What emerges from this dialectical inquiry is a different conception of substance and of order in the universe, which gives priority to physics over mathematics as the cosmological science. Within this different world-view, we can better understand what we now call Aristotle's philosophy of mathematics.

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