Isaac Newton Y el infinitesimal (Isaac Newton's infinitesimals)
Theoria 14 (3):431-460 (1999)
| Abstract | A través de una reconstrucción de la evolución de su pensamiento, en este artículo se estudia la utilización de infinitesimales por parte de Newton. Se distingue entre dos concepciones sucesivas de lo que denominó momento. A la primera de estas entidades la caracterizó como un infinitesimal, pero a la segunda (un indivisible generador de magnitudes finitas, que interviene en su método de las primeras y últimas razones) no la consideró como tal. Se entiende así su manifestación de rechazo a los infinitesimales, formulada en una segunda etapa, y se ve que las dudas arrojadas por algunos investigadores sobre la veracidad de tal manifestación se deben a una determinada interpretación de esta última concepción de momento.This paper discusses Newton’s recourse to infinitesimals through the reconstruction of the evolution of his thought. Two successive concepts of what he termed “moment” are told apart. The first of those entities was characterized by him as an infinitesimal, while the second -an indivisible generating finite magnitudes, present in his method of first and last reasons- was not considered such an entity. This move makes understandable his express rejection of infinitesimals in the second stage, and exposes the doubts of some scholars about the sincerity of Newton’s rejection as due to a peculiar interpretation of his last concept of “moment” | |||||||||
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