La crítica de Leibniz a los números infinitos y su repercusión en la metafísica de los cuerpos.

In this paper we study the impact of Leibniz’s critique of infinite numbers in his metaphysics of bodies. After presenting the relation that the German philosopher establishes in his youth between the notions of body, extension and infinite quantities (1672-1673), we analyze his thoughts on the paradoxes of the infinite numbers (1672-1676) and we claim that his defense of the inconsistency of such numbers is an inflexion point in his conception of body and mark the beginning of his offensive against the res extensa