Bourbaki: La vérité en mathématique

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„Les mathématiciens ont toujours été persuadés qu’ils démontrent des « vérités » ou des « propositions vraies » ; une telle conviction ne peut évidemment être que d’ordre sentimental ou métaphysique, et ce n’est pas en se plaçant sur le terrain de la mathématique qu’on peut la justifier, ni même lui donner un sens qui n’en fasse pas une tautologie. L’histoire du concept de vérité en mathématique relève donc de l’histoire de la philosophie et non de celle des mathématiques“. (p. 21) #Bourbaki #mathématique #vérité #métaphysique

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Bourbaki, Nicolas, Éléments d’histoire des mathématiques. Berlin, Heidelberg: Springer 2007.

Nancy: Le pouvoir

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„Ici le pouvoir est la projection du groupe lui-même: il se présente à lui-même son unité de sens. Plus précisement, il en présente la verité, c’est-à-dire ce qui interrompt la circulation infinie du sens“. (p. 32) #Nancy #pouvoir #sens #verité

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Nancy, Jean-Luc, Politique et au-delà. Entretiens avec Philip Armstrong et Jason E. Smith. Paris: Éditions Galilée 2011. 53 S., ISBN 978-2-7186-0845-7.

Leibniz: Deux sortes de vérités

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„Il y a aussi deux sortes de vérités, celles de raisonnement et celles de fait. Les vérités de raisonnement sont nécessaires et leur opposé est impossible, et celles de fait sont contingentes et leur opposé est possible. Quand une vérité est nécessaire, on en peut trouver la raison par l’analyse, la résolvant en idées et en vérités plus simples, jusqu’à ce qu’on vienne aux primitives.“ (No. 33) #Leibniz #vérité #raisonnement #fait

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Leibniz, Gottfried Wilhelm, La Monadologie avec Étude et Notes de Clodius Piat. Paris: Librairie Victor Lecoffre 1909.

Grands systèmes d’exclusion

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„Des trois grands systèmes d’exclusion qui frappent de discours, la parole interdite, le partage de la folie et la volonté de vérité“. (p. 21)

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Foucault, Michel, L’ordre du discours. Leçon inaugurale au Collège de France prononcée le 2 décembre 1970. Paris: Gallimard 1971.

Vérité

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„Instinct. Raison. – Nous avons une impuissance de prouver, invincible à tout le dogmatisme. Nous avons une idée de la vérité, invincible à tout le pyrrhonisme.“

Pascal, Blaise, Pensées, Paris, 1976, p. 158