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November 23, 2002
Zeno's paradox
Zeno of Elea proposed 4 paradoxes. The paradox when followed to their logical conclusion proved motion to be an impossibility. One example is the conversation between Achilles and the tortoise. Achilles promises the tortoise a 10m head start in a race. The tortoise then asks Achilles how long it would take for him to cover the 10m. The tortoise then points out that by the time Achilles makes up the 10m the tortoise has gained a little more distance. This continues indefinitely making it impossible for Achilles to ever catch up.
For a better rendering of this tale and an explanation head to The Math Academy
Posted at November 23, 2002 09:51 PM