阿基里斯和烏龜(Achilles and the Tortoise)——歐美十大哲學與科幻悖論

阿基里斯和烏龜(Achilles and the Tortoise)——歐美十大哲學與科幻悖論在《歐美十大哲學與科幻悖論》中排名第15名。我們精選了部分網友觀點： ...

阿基里斯和烏龜歐美十大哲學與科幻悖論在歐美十大哲學與科幻悖論中排名第15名。

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我們精選了部分網友觀點：

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就像說這種吸塵器比另一臺吸塵器節省一半的工作時間，然后你說：“好吧，給我兩臺吸塵器。”我們都知道，無限個零的總和并不意味著它等于無窮大。就烏龜來說，它會跑很多次，直到它到達目的地等于零的距離。在那一刻，阿喀琉斯會抓住烏龜并打敗它。這個悖論的謊言就是認為零等于無窮大！

It's like saying that this particular vacuum cleaner will save you half the time of work than another vacuum cleaner and you say: "Okay, give me two vacuum cleaners then". We all know that the sum of a infinite number of zeros doesn't mean that it is equal to infinity. In the case of the tortoise, he will ran a number of times till he gets to a distance that equals zero. At that moment, Achilles will grap the tortoise and beat him. The lie in this paradox is to think that zero equals infinity!

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阿喀琉斯曾經挑戰烏龜進行一場競走。阿喀琉斯知道他會贏，但為了公平起見，他讓烏龜領先了10碼。假設阿基里斯跑得比烏龜快十倍。所以當阿喀琉斯跑了十碼，烏龜跑了一碼。當阿喀琉斯跑完那一碼時，烏龜跑了十分之一碼。當阿喀琉斯跑了十分之一碼，烏龜跑了一百碼。阿喀琉斯永遠也追不上烏龜，-西蒂古魯

Achilles once challenged a tortoise to a foot race. Achilles knew he would win, but to make it fair, he gave the tortoise a ten yard head start. Suppose Achilles runs ten times faster than the tortoise.So when Achilles has run ten yards, the tortoise has ran one.When Achilles has ran that one yard, the tortoise has run one tenth yard.When Achilles ran that one tenth yard, the tortoise ran one hundredth yard.Achilles can never overtake the tortoise, - CityGuru