Jesus christ.
I'll sum it up.
Doing anything is impossible. If you want to walk one mile, you first must walk a half-mile.
To do that, you must walk a quarter-mile.
And so on, and so on.
By that standard, moving is impossible.
There is an almost infinitely small measurement of distance, which is as small as you can get.
You can't go half of it, you can only go the whole length.
Therefore, you go single-unit by single-unit, which is in turn just a section of a larger unit.
Just because you can continuously half something doesn't mean you can't get past it.
I can move 1cm, regardless of the fact that there is a half cm in it, and a half of that and so on and so forth.
As a functioning living creature, with a correct grasp on how I behave in the physical world, I can move.