This raises an interesting question. Is there, in reality, any difference between infinitely small and infinitely great?
Mathematicaly, there is difference. The space is infinitely small indicates there is no space; and space is infinitely great means the space is infinite.
IMO, space without matter represents the physical reality of nothingness. With or without matter, space is infinitely large, and not infinitely small. So an 'infinitely large space' is a physical reality. The same can be said about time. Both these are non-quantized, ie, space and time are are not grainy. But matter is grainy and made up of particles which are real in all respects. The number of particles can never be infinite because (physically) we cannot have an infinite number of finite particles. Thus it is the graininess or the quantum nature that decides whether a physical entity is finite or not (and we have only three entities).
