ABSTRACT

It is not only bodies and the surfaces and lines that can be distinguished in them that are spatially continuous, and not only those qualities which they possess in some extension and perhaps other properties-but also topoids of other numbers of dimensions (as these, in the general opinion of mathematicians, are conceivable without contradiction). And then of course also their boundaries, which manifest an extension of their own. Further, our intuitions not merely of what is spatially extended but also of what is proceeding in time in so far as this is present to us as a whole.69 A motion from place to place, although in a certain sense to be called spatial, is for all that still-because it proceeds in time and because it exists not in its whole extent but only in one of its boundaries-to be counted among the temporally and not among the spatially continuous.