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    1/16/2008

    意想不到的老虎

    公主:父亲,你是国王。我可以和迈克结婚吗?

    国王:我亲爱的,如果迈克打死这五个门后藏着的一只老虎,你就可以和他结婚。迈克必须顺次序开门,从1号门开始。他事先不

    知道哪个房间里有老虎,只有开了那扇门才知道。这只老底将是料想不到的。


    迈克看着这些门,对自己说道——

    迈克:如果我打开了四个空房间的门,我就会知道老虎在第五个房间。可是,国王说我不能事先知道它在哪里。所以老虎不可能在第五个房间里.

    迈克:五被排除了,所以老虎必然在其余四个房间之一。那么在我开了三个空房间之后,又怎么样了?老虎必然在第四个房间。可是,这样它就不是预料不到的了。所以四也被排除了。

    按同样的理由,迈克证明老虎不能在第三、第二和第一个房间。迈克十分快乐。

    迈克:哪个门的背后也不会有老虎。如果有,它就不是料想不到的。这不符合国王的允诺。国王总是遵守诺言的。

    迈克证明了不会有老虎之后,就冒冒失失地去开门了。使他惊骇的是,老虎从第二个房间中跳了出来。这是完全出乎意料的。这一切表明国王遵守了他的诺言。





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    zibinwrote:
    他算得不准,因为他的推理有一个假设错误
    Jan. 20
    Huayingwrote:
    哈哈。人算不如天算啊。
    Jan. 17

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