Brunschvicq: La physique mathématique

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„La physique mathématique s’est développée sous deux formes différentes qui avaient mis aux prises, d’abord l’école française de Descartes et l’école italienne de Galilée et de Torricelli, puis les partisans de Leibniz et les partisans de Newton : les uns, géomètres purs qui procédaient par déduction a priori, les autres, observateurs avant tout, qui prétendaient ne relever que de l’expérience.“ (p. 253) #Brunschvicq #Descartes #Galilée #Torricelli #Leibniz #Newton #physique #mathématique

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Brunschvicg, Léon, Les étapes de la philosophie mathématique. Paris: Alcan 1912. 658 S.

Brunschvicq: L’atomisme

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„Suivant l’atomisme, le monde est rendu intelligible par une analyse élémentaire, semblable à ce que nous appelons l’analyse chimique. Cette analyse élémentaire est une décomposition en parties, poussée au delà de ce que les sens peuvent atteindre, jusqu’à l’établissement d’un terme ultime, d’un élément que sa dureté reind indivisible: l‘atome. Les atomes sont invisibles, en raison de leur petitesse. Il est remarquable que, d’ailleurs tout en opposant une limite à l’infinie divisibilité de la matière, Démocrite paraît avoir admis sans difficulté des atomes en nombre infini. Leur juxtaposition et leur enchevêtrement donnent naissance aux corps.“ (p. 124) #Brunschvicq #Démocrite #atomisme #analyse #décomposition #atome #corps

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Brunschvicg, Léon, L’expérience humaine et la causalité physique. Paris: Alcan 1922.

Brunschvicq: Temps et espace

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„De là on ne peut pas conclure que l’arithmétique soit la science du temps comme la géométrie est la science de l’espace. Le temps n’est pas un objet; il est une condition de l’arithmétique, ou plus exactement de la mathématique en général.“ (p. 269) #Brunschvicq #mathématique #arithmétique #temps #géométrie #espace

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Brunschvicg, Léon, Les étapes de la philosophie mathématique. Paris: Alcan 1912. 658 S.

Brunschvicq: L’évocation de mon passé

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„Il en est de même, en général, pour l’évocation de mon passé. Je dois le construire moi-même pour moi-même, à mes risques et périls, et en particulier avec le danger de le déformer, sous la poussée des tendances apologétiques qui me font adopter, consciemment ou inconsciemment, l’attitude d’un plaidoyer ou d’une Théodicée.“ (p. 509) #Brunschvicq #passé #Théodicée

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Brunschvicg, Léon, L’expérience humaine et la causalité physique. Paris: Alcan 1922.