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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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We learn our belief systems as very little children, and then we move through life creating experiences to match our beliefs. Look back in your own life and notice how often you have gone through the same experience.

我们从很小的时候就开始学习我们的信仰体系，然后我们在生活中创造经验来匹配我们的信仰。回顾你自己的生活，注意你有多少次经历过同样的事情。

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One can imagine that the ultimate mathematician is one who can see analogies between analogies.

可以想象，最终的数学家是一个能在类比之间看到类比的人。

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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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A work of art that contains theories is like an object on which the price tag has been left.

一件包含理论的艺术作品就像一个被贴上了价格标签的物品。

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Theories are always very thin and insubstantial, experience only is tangible.

理论总是很单薄和虚幻的，经验只是有形的。

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Sometimes people don't notice what we do for them until we stop doing it.

有时候人们不会注意到我们为他们做了什么，直到我们停止这样做。

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When an analogy is really singing, it's what you want it to be.

当一个类比真的在唱歌时，它就是你想要的。

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Life is like an analogy.

生活就像一个比喻。

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