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数学中有很多悖论,看似合理,实则谬误。比较有意思的一个悖论是“龟兔赛跑”,其结论是如果兔子的起跑点在乌龟的后面,那么它将永远追不上乌龟！理由很简单:在任何一个瞬时,在前面的乌龟与后面的兔子之间一定有一个中点,兔子要想追上乌龟,必须首先跑到这个中点,而此时乌龟已经又往前行进了一个距离,依此类推。据说,这一悖论涉及的问题是“有限”与“无限”的概念问题。 在今天的媒体言论中,恐怕也有很多的“悖论”,因为系出“名门”,便很少有人去怀疑、去证明,最终很可能贻患一方。当然,媒体言论中的“悖论”远没有数学中的悖论那么“严密”,或者并不能称其为悖论。
There are many paradoxes in mathematics, seemingly reasonable, but actually fallacy. One of the more interesting paradox is “tortoise and hare race”, the conclusion is that if the starting point of the rabbit in the back of the tortoise, then it will never catch the turtle! The reason is simple: at any one instant, there must be a midpoint between the front turtle and the back of the rabbit, and if the rabbit wants to catch up with the tortoise, it must first run to the midpoint while the turtle has moved forward One distance, and so on. It is said that the problem involved in this paradox is the concept of “limited” and “infinite”. In today’s media remarks, I am afraid there are many “paradoxes” because seldom used to be “famous” will seldom doubt and prove that it may end up in the end. Of course, the “paradox” in the media’s speech is far less “rigorous” than the paradox in mathematics, or it can not be called a paradox.