Method, Demonstration and Invention: Leibniz and the Treatment of Quadrature Problems

Ideas Y Valores 71 (180):97-116 (2022)
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Abstract

RESUMEN El artículo reconstruye la concepción metodológica de Leibniz de finales del periodo parisino, que subyace al tratado Sobre la cuadratura aritmética del círculo, la elipse y la hipérbola (1676). Se muestra que Leibniz concibió un procedimiento en el cual el hallazgo de nuevos conocimientos de alguna manera coincide con su demostración, y en el que los procesos de análisis y síntesis se emplean de diversas maneras. ABSTRACT The article reconstructs Leibniz's methodological conception of the late Parisian period underlying the treatise On the Arithmetical Squaring of the Circle, the Ellipse, and the Hyperbola (1676). It is shown that Leibniz conceived of a procedure where the finding of new knowledge somehow coincided with its demonstration and in which the processes of analysis and synthesis were employed in various ways.

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Federico Raffo Quintana
Universidad Católica Argentina

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