Zeno of Elea, the ancient Greek philosopher, proposed a paradox that captures one of the challenges facing evolutionary paleoecologists: that which is in motion must arrive at the halfway stage before it arrives at its goal (Aristotle, 1984). Zeno describes a footrace between Achilles and a tortoise and explains that if Achilles, a fast runner, gives the tortoise a head start, he will never overtake the tortoise. Achilles must traverse a finite series of distances before catching the tortoise, but in the time it takes Achilles to achieve this distance the tortoise crawls forward a tiny bit farther....

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