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A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.

  • -- Stefan Banach 斯特凡·巴纳赫

数学家是能在定理之间找到类比的人;一个更好的数学家能看到证明之间的类比，而最好的数学家能注意到理论之间的类比。

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Theories Mathematician Notice Analogy

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With this sense of the splendour of our experience and of its awful brevity, gathering all we are into one desperate effort to see and touch, we shall hardly have time to make theories about the things we see and touch.

有了这种体验的壮丽感和它可怕的简练感，把我们所有的一切都集中到一个绝望的努力去看和触摸，我们将几乎没有时间对我们所看到和触摸的事物做出理论。

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Sometimes I'll be playing along and find I'm missing the strings. I'll worry about it for days until I notice that the pick has worn down to half its size.

有时候，当我和别人一起演奏时，我发现我的琴弦不见了。我要担心好几天，直到我注意到镐已经磨掉了一半大小。

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I take the walk to be the externalization of an interior seeking so that the analogy is first of all between the external and the internal.

我走这条路是为了寻求内在的外化所以首先类比的是外在和内在。

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The artist discards all theories, both his own and those of others. He forgets everything when he is in front of his canvas.

这位艺术家抛弃了所有的理论，包括他自己的理论和别人的理论。当他在画布前时，他忘记了一切。

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I like to move among painters, mathematicians, psychologists, people who can tell me something.

我喜欢在画家、数学家、心理学家中间走动，他们能告诉我一些事情。

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Civilization exists by geological consent, subject to change without notice.

文明的存在是经地质同意的，如有变更，恕不另行通知。

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Mathematics is written for mathematicians.

数学是为数学家写的。

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Life is like an analogy.

生活就像一个比喻。

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