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Achilles and the Tortoise
Achilles and the tortoise is similar.
Suppose that the swift Achilles is having a race with a tortoise.
Since the tortoise is much slower, she gets a head start. When the
tortoise has reached a given point a, Achilles starts. But by the
time Achilles reaches a, the tortoise has already moved beyond point
a, to point b. And by the time Achilles reaches b the tortoise has
already moved a little bit farther along, to point c. Since this process
goes on indefinitely, Achilles can never catch up with the tortoise.
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