Gueroult: Le système leibnizien

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“Ce qui est idéal et subjectif dans l’espace, c’est, par conséquent, la forme de la relation, non la nécessité qui s’exprime en elle. Il n’y a donc rien là qui soit intrinsèquement contradictoire; tout, au contraire, s’en­ chaîne dans cette réduction du jugement synthétique au jugement analytique qui reste pour l’être fini un idéal. Sans doute, peut-on contester la thèse elle-même, mais c’est là une tout autre question que d’accuser d’absurdité la démonstration qu’en donne le système leibnizien.” (p. 275) #Gueroult #Leibniz #espace

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Gueroult, Martial, Etudes sur Descartes, Spinoza, Malebranche et Leibniz. Hildesheim/New York: Georg Olms 1970.

Bourbaki: Les structures topologiques

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“Nous dirons encore quelques mots d’un troisième grand type de structures, les structures topologiques (ou topologies): elles fournissent une formulation mathématique abstraite des notions intuitives de voisinage, de limit et de continuité, auxquelles nous conduit notre conception de l’espace.” (p. 42) #Bourbaki #structure #topologie #voisinage #limit #continuité #espace

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Bourbaki, Nicolas, L’architecture des mathématiques, in: François Le Lionnais (Hg.), Les grands courants de la pensée mathématique. Marseille: Cahiers du Sud 1948, 35–47.

Halbwachs: La continuité

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„La continuité et la discontinuité dont il s’agit concernent bien plus les opérations de l’esprit en train de calculer que l’espace lui-même.“ (p. 92) #Halbwachs #Leibniz #continuité #esprit #espace

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Halbwachs, Maurice, Leibniz. Paris: Mellottée 1907.

Serres: L’universalité de l’espace-temps

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„Il n’y a plus histoire, monde ni société, mais l’universalité de l’espace-temps et des personnes humaines.“ (p. 196) #Serres #espace #temps

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Serres, Michel, Rameaux. Paris: Editions Le Pommier 2007. 204 S.

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.