Achilles and the turtle will race. But just as Achilles runs ten times as fast as the turtle, the turtle gets a lead on ten meters. The question is whether Achilles ever catches the turtle? For while Achilles runs the ten meters he is behind the turtle, the turtle has gone one meter. So Achilles must catch up to one meter. But when one meter is passed, is the turtle again ten centimeters in front there again. And when Achilles will run the next ten centimeters, has the turtle again reached one centimeter. And so on. The distance will get mikrosopickely, but Achilles will never run past the turtle.