The Dilemma of the Continuity of Matter / O Dilema da Continuidade da Matéria

In this paper I intend to present the Dilemma of Continuity of Matter and a possible solution to it. This dilemma consists in choosing between two misfortunes in explaining the continuity of matter: or to say that material objects are infinitely divisible and not explain what constitutes the continuity of some kind of object, or to say that there is a certain kind of indivisible object and not explain what constitutes the continuity of such an object. The solution we provide is precisely the thesis that material objects consists of points, a thesis we try to make clearer, although we have not developed it much.