(September 19, 2012 at 3:36 am)FallentoReason Wrote: You can keep slicing infinitely. Think of a line segment from 0 to 1. Chop that in half. Now we have 0 to 0.5. Chop that in half. Now we have 0 to 0.25.....now we have 0 to 0.000000000001. Chop that in half ad infinitum.
I understand that mathematically you can keep slicing indefinitely, but in reality would it be plausible? Or would you reach a point where it could no longer be sliced as the pieces would be to small?