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Titlebook: Classics in the History of Greek Mathematics; Jean Christianidis Book 2004 Springer Science+Business Media Dordrecht 2004 Aristotle.Histor

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Wie ist die Mathematik zu Einer Deduktiven Wissenschaft Geworden? des 5. Jahrhunderts unter dem Einfluss der eleatischen Philosophie entstanden, 2. die Eleaten waren es, die schon . dieser entscheidenden Wandlung zum ersten Male in der Geschichte des europäischen Denkens die grundlegenden Prinzipien der Logik klar formulierten, und 3. die deduktive Mathematik ist
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Construction as Existence Proof in Ancient Geometryquestions dealing with existence has given rise to a familiar thesis about ancient geometry: that its constructions were intended to serve as proofs of the existence of the constructed figures. I propose here to examine that thesis, to argue its weakness as a . account of ancient geometry, and to of
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The Discovery of Incommensurability by Hippasus of Metapontum because, according to ancient tradition, the discovery was made at a time when Greek mathematical science was still in its infancy and apparently concerned with the most elementary, or, as many modern mathematicians are inclined to say, most trivial, problems, while at the same time, as recent disc
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Y Avait-Il une Crise des Fondements des Mathématiques Dans L’Antiquité?à une époque donnée, il ait inquiété tous les mathématiciens. Les méthodes du calcul différentiel et intégral tel qu’il fut inventé par Newton et Leibniz ont été appliquées tranquillement quoiqu’on sût qu’il n’était pas bien fondé et malgré les paradoxes que ces méthodes impliquaient. Les paradoxes
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Introductionainly from the Arabic but sometimes from the Greek as well. New or improved versions appeared from Renaissance times onwards; sometimes Arabic manuscripts extant in European libraries were used as well. The last major original edition of a treatise in the Greek language was undoubtedly that of the p
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