- #1

Chris Miller

- 371

- 35

**The surface of the torus is spatially flat, like the piece of paper, but finite. However, with expansion, it is possible that even if the universe just has a very large volume now, it will reach infinite volume in the infinite future.**"

This is just word play. There is no point in the future that an infinite amount of time will have elapsed.

∞

∑ x=i/∞

i=1

Does x approach 1 or 0? Theoretically/philosophically I can see where ∞/∞=1, but i/∞ = 0 for any tangible/integral value of i.