Theoria 22 (2):213-231 (2007)

Abstract
El corpuscularismo sirvió a los físicos del XVII para matematizar la naturaleza al considerarla un conjunto de sistemas mecánicos. Pero la discontinuidad del atomismo chocaba con la continuidad de las magnitudes básicas, espacio y el tiempo, y derivadas. En su madurez, Galileo fundió física y matemáticas propo-niendo componer tanto los cuerpos como las magnitudes continuas a base de átomos inextensos (indivisibles). En el proceso inició el análisis de las propiedades de los conjuntos infinitos, pero no logró elaborar un cálculo que le permitiese computar diferentes movimientos acelerados, mientras que en física no resolvió en problema fundamental de la condensación y la rarefacción.Seventeenth century atomism envisioned Nature as a set of mechanical systems to be treated mathematically. But the basic discontinuity of atomic theory of matter appeared inconsistent with the essential continuous character of geometrical magnitudes. In his old age Galileo devised a way to unify mathematics and physics via composing matter and continuous magnitudes out of an infinity of indivisible (atomic) units. Even though he forwarded the analysis of infinite sets, he couldn’t establish a calculus to compute and compare different accelerated motions. In physics he never solved the basic problem of condensation and rarefaction of substances. But the side results were interesting and even fascinating
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DOI theoria20072225
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