September 16, 2003

How Would You Respond?

The Greek philosopher Zeno of Elea posed the following paradox. Achilles can run ten times as fast as a tortoise and so gives it a head start of 1 km. When Achilles covers the km, the tortoise is ahead by 1/10 km. When Achilles covers this 1/10 km, the tortoise is 1/100 km ahead. This process is repeated ad infinitum: the tortoise is always some fraction of a km ahead, which means that achilles does not win the race.

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