>>47614109Space is a pure form of intuition
1. For sensations to be related to something outside of me space must already be their ground. Therefore, space is not obtained through experience and is a priori.
2. One can represent the absence of objects and appearances, but never the absence of space. Therefore, it is an a priori condition of the possibility of appearances.
3. Space must be a priori for geometry to possess its necessity. Otherwise, geometry would have the contingency of perception.
4. One can only represent a single space. The division of space into a manifold requires limitations on it. Therefore, space is an intuition rather than concept of relations.
5. Space is infinite. No concept can be thought to contain an infinite set of representations within itself. Therefore, space must be an intuition rather than a concept.
6. Geometry determines the properties of space synthetically and a priori. Space must be an intuition for this to be possible, because from a concept alone no propositions can be drawn that go beyond it. For example, attempt to prove that two straight lines can never enclose a space by means of the concepts of straight line and two alone. This is impossible.
