Calculus began with Zeno’s paradoxes about time, motion, and change. The most famous one is about Achilles and the tortoise. Consider a race between the great warrior and a humble tortoise in which the creature is given a head start. By the time Achilles reaches the tortoise’s starting place, the tortoise has crawled a bit farther ahead. By the time Achilles gets there, the tortoise has moved a little more and hence is still in the lead. Thus, a swift runner can never overtake a slower one. Since common sense says otherwise, Zeno concludes that common sense is wrong. Change is an illusion. You should trust your mind and nothing else.
Zeno's paradox about time, space and motion
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