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#7 – Achilles & the tortoise paradox

10 Most Controversial Paradoxes Ever!

via complain

Achilles races to catch a tortoise that is crawling away from him. It has a head start of 100 feet, so if Achilles hopes to overtake it, he must run at least to the place where the tortoise presently is, but by the time he runs 100 feet, it will have crawled to a new place, so then Achilles must run to the new place, but the tortoise meanwhile will have crawled on. Achilles will never catch the reptile. Therefore, good reasoning shows that fast runners never can catch slow ones.

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