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Geometry in Descartes’ system

Jullien, Vincent (2003). Geometry in Descartes’ system. En Luque, Carlos Julio (Ed.), Memorias XIV Encuentro de Geometría y II de Aritmética (pp. 51-68). Bogotá, Colombia: Universidad Pedagógica Nacional.

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URL Oficial: http://www.encuentrogeometria.com/Memorias.html

Resumen

What struck the young student of mathematics at the college of La Fleche was the absolute certainty of their demonstrations. More specifically, he was impressed by the contrast between these proofs and the literary tradition, for “/ had compared the moral writings of the ancients pagans to the most proud and magnificent palaces built on nothing but sand and mud”. Still, while he grants the are unquestionable, Descartes discovered both in geometry and arithmetic, an essential useleness and futility, an appreciation he will maintain all throughout his life. These first impressions might account for two emotions “joy and unease” frequently to be found at once in Descartes’ mathematical works. In his work we find a combination of joy of discovery, clear ideas and of mastership over methods, and uneasiness caused by the puerile, futile character of the very mathematical object itself. This ambivalence is present clearly and explicitly throughout Geometry.

Tipo de Registro:Capítulo o Sección de un Libro
Términos clave:06. Aprendizaje > Procesos cognitivos > Procesos de justificación
10. Otras nociones de Educación Matemática > Evolución histórica de conceptos
14. Matemáticas superiores > Geometría (matemáticas superiores)
06. Aprendizaje > Procesos cognitivos > Pensamiento matemático
Nivel Educativo:_Otro Nivel Educativo
Código ID:9136
Depositado Por:Cristian Camacho
Depositado En:19 Jun 2017 15:07
Fecha de Modificación Más Reciente:19 Jun 2017 15:07
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Personal del repositorio solamente: página de control del documento


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