2. Suppose that Achilles and the Tortoise competing in the race. Since Achilles athlete, he let the turtle forward. By the time he reached the place from which the tortoise started, she has moved to another point, and when Achilles reaches this point, it has progressed a little further, albeit at a very short distance. Thus, Achilles always approaches the tortoise, but never catches up with her - and he would never be able to catch up with it, if it is assumed that the line consists of an infinite number of points, because in this case Achilles will have run an infinite distance. If we accept the hypothesis of the Pythagoreans, Achilles will never overtake the tortoise; and, although they recognize the existence of the movement, their own doctrine demonstrates its impossibility. For from it the conclusion that slow as fast as bystrohodnyy5.
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