La influencia de Platón y Aristóteles en la axiomática euclideana
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Abstract
1 (p. 29) Kapp y Kurt von Fritz: la prioridad de las premisas. Características de los principios. La elección de axiomas. 2 (p. 33) La axiomática euclidea. Definiciones incorrectas o infecundas. Diferencias entre postulados y axiomas. Evolución del término axioma. 3 (p. 39) Tesis de Szabo: el axioma como demanda sólo aceptable con reservas. Zenón y la aporía del estadio. 4 (p. 42) El concepto de "dialéctica" en Platón y en Aristóteles: similitudes y diferencias. 5 (p. 45) El problema terminológico y la relación entre dialéctica y matemática. 6 (p. 51) La noción platónica de igualdad y los axiomas de Euclides, 7 (p. 52) La alegoría de la Línea: relación entre las hypotheseis y la arche anypóthetos. El ascenso dialéctico. 8 (p. 60) La presunta crítica de Aristóteles a Platón sobre los principios, Protagoras. El platonismo de Aristóteles9 (p. 66) Comparación entre el aporte de Platón y el de Aristóteles a la axiomática euclidea.
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Eggers Lan, C. “La Influencia De Platón Y Aristóteles En La axiomática Euclideana”. Noua Tellus, vol. 2, July 2013, doi:10.19130/iifl.nt.1984.2.0.5.
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