Quote:
If space is finite, then the number of objects cannot be infinite. On the other hand, if space is infinite then there is no limit to the number of particles that may occupy it.


That's absolutely right, Rede, but only at a superficial level. For example, 100 objects is a finite number of objects, you can, in principle, keep adding groups of 100, but the number will never become infinite. Why? The usual answer is that you would need infinite time, which you do not have. However, even that answer is superficial.

A deeper answer is that however much adding you do (even if you had eternity in which to do it) you would always have a number, and infinity is not a number.

There never was nothing.