(April 28, 2016 at 7:02 am)SteveII Wrote: You can't get to infinity by adding finite steps. There is no number + 1 to get you there. You have to distinguish between a real infinite and a potential infinite.
It is also important to note that each "halving" creates a potential and unequal interval that will always add up to a finite number.
Sure, "counting to" infinity is incoherent. Counting ad infinitum is coherent, but also never ending (merely notional/potential).
Good point on the halves.
How would you distinguish between a real infinite and a potential infinite?