寫不完的作業 - 拼圖

By Daniel
at 2010-11-02T08:47
at 2010-11-02T08:47
Table of Contents
這個問題讓我想起了大一的時候跟同學討論過的一個超白癡問題
問題大致上是這樣。
有兩個箱子跟一顆球,
在 11 點的時候球在左邊的箱子裡。
11:30 的時候我們把球拿到右邊的箱子裡面(假定移動球可以瞬間完成)。
11:45 的時候再把球移到左邊的箱子裡面。
如此類推,在距離 12 點前剩下一半的時間的時候我們就把球移到另一個箱子裡。
問題:請問在 12 點的時候球在哪裡?
學過一點極限的人大概馬上就會回答說這題極限不存在……
可是我沒問你極限存不存在啊,我問的是球在哪裡啊。
就算極限不存在好了,球總該在某個地方吧?難不成球就這樣人間蒸發了?
老實說……這題我倒現在都還是不知道要怎樣去說明白,
雖然其實我也不怎麼想理這個鬧人的問題就是了……
--
有桌堪翻直須翻,莫待無桌後空翻
--
問題大致上是這樣。
有兩個箱子跟一顆球,
在 11 點的時候球在左邊的箱子裡。
11:30 的時候我們把球拿到右邊的箱子裡面(假定移動球可以瞬間完成)。
11:45 的時候再把球移到左邊的箱子裡面。
如此類推,在距離 12 點前剩下一半的時間的時候我們就把球移到另一個箱子裡。
問題:請問在 12 點的時候球在哪裡?
學過一點極限的人大概馬上就會回答說這題極限不存在……
可是我沒問你極限存不存在啊,我問的是球在哪裡啊。
就算極限不存在好了,球總該在某個地方吧?難不成球就這樣人間蒸發了?
老實說……這題我倒現在都還是不知道要怎樣去說明白,
雖然其實我也不怎麼想理這個鬧人的問題就是了……
--
有桌堪翻直須翻,莫待無桌後空翻
--
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拼圖
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