Zeno's paradox redux

In ancient Greece, Zeno thought up a story of a tortoise who convinced Achilles that he could not outrun the reptile, provided the warrior gave him a headstart. By the time Achilles covered half the initial distance between the two, said the tortoise, he would have moved ahead a little. By the time Achilles covered half the remaining distance, the tortoise would have moved ahead a little more.

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