The BIG deal regarding infinities is that there are an infinite number of ways our universe can be shown it is not infinite but only a couple ways to prove it is infinite. Time and space may become infinitely warped in a black hole but the physical universe is huge yet not infinite. Neither can it exist to an infinite smallness. 10 to the minus 33 is the plank length for the ultimate smallness. How small is that? Well if you took an atom and scaled it up to the size of the observable universe the Planke length would be the size of a tree.
The trick is I said the OBSERVABLE universe. It goes on 10 or a hundred times beyond what we can ever see. Only in Math can a line be infinitely continuous. In the real world, it can never be straight or infinitely long. We can't even fold a piece of paper in half more than eight times. We can't cut a rope into infinitely small lengths.

If I ever wanted to disable an AI program I would ask it to find the end of pi.