阿基里斯和乌龟(Achilles and the Tortoise)——欧美十大哲学与科幻悖论

阿基里斯和乌龟(Achilles and the Tortoise)——欧美十大哲学与科幻悖论在《欧美十大哲学与科幻悖论》中排名第15名。我们精选了部分网友观点： ...

阿基里斯和乌龟欧美十大哲学与科幻悖论在欧美十大哲学与科幻悖论中排名第15名。

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我们精选了部分网友观点：

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就像说这种吸尘器比另一台吸尘器节省一半的工作时间，然后你说：“好吧，给我两台吸尘器。”我们都知道，无限个零的总和并不意味着它等于无穷大。就乌龟来说，它会跑很多次，直到它到达目的地等于零的距离。在那一刻，阿喀琉斯会抓住乌龟并打败它。这个悖论的谎言就是认为零等于无穷大！

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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阿喀琉斯曾经挑战乌龟进行一场竞走。阿喀琉斯知道他会赢，但为了公平起见，他让乌龟领先了10码。假设阿基里斯跑得比乌龟快十倍。所以当阿喀琉斯跑了十码，乌龟跑了一码。当阿喀琉斯跑完那一码时，乌龟跑了十分之一码。当阿喀琉斯跑了十分之一码，乌龟跑了一百码。阿喀琉斯永远也追不上乌龟，-西蒂古鲁

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