¿Dónde queda el álgebra en Crítica de la razón pura? El álgebra y su relación con las construcciones simbólicas en la interpretación de Lisa Shabel

Apuntes Filosóficos 28 (55):9-20 (2019)
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Abstract

The purpose of this article is to present Lisa Shabel's interpretive proposal that relates algebra to symbolic constructions. This briefly covers the problem of the status of algebra and how some of the interpretations given relate it to the numerical calculation. Subsequently, by the hand of Shabel and with an eye on the mathematical practice of Cristian Wolff, the ways of proceeding algebraically in the eighteenth century will be identified and then analyze the two meanings of the term “magnitude”. Finally, algebra is related to a construction in accordance with the a priori concepts, certain rules and which it has its referent. Such a type of construction defines what Kant understands by symbolic construction.

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María Carolina Álvarez Puerta
Universidad Central de Venezuela

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