Descartes: Álgebra como lógica

Episteme 19 (2004)
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Abstract

El objetivo de este artículo es discutir la concepción cartesiana del Álgebra como una lógica del descubrimiento científico. En la introducción al artículo discutimos algunas de las interpretaciones más conocidas sobre el valor de la Matemática cartesiana. En la primera parte de este trabajo, realizamos una contraposición entre los pensamientos de Aristóteles y de Descartes sobre las teorías deductivas. En la segunda parte, analizamos las consideraciones hechas por Descartes sobre el valor de la Lógica. En latercera parte, nos ocupamos específicamente con la concepción cartesiana del Álgebra.The goal of the present paper is to discuss some of the aspects of Descartes’ thoughts on Algebra. The Introduction is dedicated to discussing some ofthe interpretations of Cartesian mathematics. In the first part of this article,Cartesians and Aristotelians views on deductive theories are opposed. In the second part the Cartesian criticism of Aristotelian Logic is analyzed. In the third part the Cartesian concept of Algebra as a Logic of discovery is evaluated.

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Jorge Molina
Universidade Estadual de Campinas (PhD)

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