Carol C:

Your comment on nothing being 'something' i.e. "nothing" is quite correct.

In the mathematics of sets it is necessary to distinguish between {0} a set with '0' in it, from {}, a set with nothing, not even '0' in it.

This is known as the empty set.

On the high end, the German mathematician Kantor devised a way to think of infinity which proved that there are infinitely many infinities, one simple distinction being the counting set {0,1,2,3...} which is denumerably infinite, i.e. you can at least count from one to another, and the set of real numbers, e.g.: 0.12345898923............. etcetera, which are non-denumerably infinite (between any two elements of the real numbers are infinitely many real numbers).