Well I read that points in space are indeed finite and intuitively they have to be because I guess we'd never be able to move from one point to the other. (intuitively this make sense) However, when a black hole is created it is said a singularity is formed i.e. and infinitesimal point in which all mass is pulled towards by the immense gravity. These two points are indeed paradoxical in nature because if points are finite then how can an infenitesimal point be created. There would have to be a rip in the fabric of space and time itself as we know it and I'm guessing that would have some weird effects.