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.
It is also important to note that each "halving" creates a potential and unequal interval that will always add up to a finite number.
