Well I see this thread and paradoxes immediately come to mind!
One of my favorites, basically one of the only ones I can remember, but does anyone know the one about the man and the turtle?
As taken from wikipedia:
In the paradox of Achilles and the Tortoise, Achilles is in a footrace with the tortoise. Achilles allows the tortoise a head start of 100 metres, for example. If we suppose that each racer starts running at some constant speed (one very fast and one very slow), then after some finite time, Achilles will have run 100 metres, bringing him to the tortoise's starting point. During this time, the tortoise has run a much shorter distance, say, 10 metres. It will then take Achilles some further time to run that distance, by which time the tortoise will have advanced farther; and then more time still to reach this third point, while the tortoise moves ahead. Thus, whenever Achilles reaches somewhere the tortoise has been, he still has farther to go.
Erm I guess it's Achilles and the tortoise instead but how can this happen?
I figured the answer out somewhat in my head, so it can be answered I guess a little...