直觉与潜意识（一） (6-3)

As for myself, I must confess, I am absolutely incapable even of adding without mistakes... My memory is not bad, but it would be insufficient to make me a good chess-player. Why then does it not fail me in a difficult piece of mathematical reasoning where most chess-players would lose themselves? Evidently because it is guided by the general march of the reasoning. A mathematical demonstration is not a simple juxtaposition of syllogisms, it is syllogisms placed in a certain order, and the order in which these elements are placed is much more important than the elements themselves. If I have the feeling, the intuition, so to speak, of this order, so as to perceive at a glance the reasoning as a whole, I need no longer fear lest I forget one of the elements, for each of them will take its allotted place in the array, and that without any effort of memory on my part.

我必须承认，对于我来说，我没法准确无误地做加法运算。我的记忆力也不差，但我并不是一个好的棋手。那么为什么大多数棋手会迷失在数学推导中而我却不会？显然，下棋时的推理是由普遍的、一般的推导来引导的。但数学证明并不是简单地把三段论并列起来，而是把三段论按一定的顺序排列，而这些排列的顺序比思考某一个具体的三段论要重要得多。如果我有这样的感觉，或者说直觉，对于这个三段论的顺序，我看一眼就能对整个推导过程略知一二，那么我根本不用担心会忘记其中一个的一个具体步骤，它们自动就会被分配到一个序列中，这不需要我动用任何记忆。

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