V. The Act of Knowing the World

Let me make myself clearer by an example. If I throw a stone horizontally through the air, I see it in different places, one after the other. I connect these places to form a line. In mathematics I learn to know various kinds of lines, one of which is the parabola. I know the parabola to be a line produced by a point moving according to certain laws. If I investigate the conditions under which the stone moves, I find that the path traversed is identical with the line I know as a parabola. That the stone moves just in a parabola is a result of the given conditions and necessarily follows from them. The form of the parabola belongs to the whole phenomenon as much as does any other feature of it. The being described above, who did not have to make the detour of thinking, would be given not only a sum of visual aspects at different points but, undivided from the whole occurrence, also the parabolic form of the path which we add to the phenomenon by means of thinking.