intuit and perceive is affected by space and time.
Why space must be synthetic a priori
Another topic we discussed was the argument behind Kant's claim that space must be considered a synthetic a prior concept.
The only other possible claim would be that space is synthetic a posteriori that our intuitions of space are based upon experience. It does not seem to follow that one could experience space and then have intuitions of it sufficient enough to create the concept of space for if one did not originally have the idea of space, how would one be able to take independent objects and be able to differentiate them at all? It seems that in order to perceive anything as distinct from anything else, it is necessary to already have the concept of space and the idea that different things occupy different
spaces.
After proving that space must be a synthetic a priori concept, we moved onto the question of how Kant can prove that geometrical propositions are synthetic a priori. We came to the conclusion that the because space is a synthetic a priori concept, it follows that geometry, which is essentially the relations of points in space must also be. In this regard, a triangle is always going to exist as a triangle, whether or not we have experienced it, as the laws of space dictate it as such.