Fragmente und Spuren nichteuklidischer Geometrie bei Aristoteles

Fragmente und Spuren nichteuklidischer Geometrie bei Aristoteles

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In the Corpus Aristotelicum there are 18 passages where it can be shown that Aristotle quotes statements that are formally opposite to the fundamental Euclidean theorem of the sum of the angles in a triangle. These statements are the result of the attempt by the geometricians of the Academy to prove the fundamental approach of Euclidean geometry indirectly. However, the attempt did not result in contradiction and Aristotle felt that there was no way of deciding between the alternatives a€œEuclidean - non-Euclideana€. In his Ethics this is the only example he uses to illustrate the freedom of choice of the active subject.Die LApsung dieses AcuAŸerst schwierigen Problems wurde von Eudoxos gefunden, und seine neue Theorie der logoi ist uns ... (a€žDedekind-Schnitta€œ a€“ in der Terminologie der modernen Mathematik) definiert: zwei logoi sind miteinander gleich, anbsp;...

Title:Fragmente und Spuren nichteuklidischer Geometrie bei Aristoteles
Author: Imre Tóth
Publisher:Walter de Gruyter - 2010-07-30

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