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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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If we notice a few errors in the work of a proven master, we may and even will often be correct; if we believe, however, that he is completely and utterly mistaken, we are in danger of missing his entire concept.

如果我们注意到一个已被证明是大师的作品中的一些错误，我们可能甚至常常是正确的;然而，如果我们认为他是完全错误的，我们就有失去他整个概念的危险。

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I urge you to please notice when you are happy, and exclaim or murmur or think at some point, if this isn't nice, i don't know what is.

我希望你能注意到自己什么时候是快乐的，并在某个时刻大声叫喊、喃喃自语或思考，如果这不是件好事，我不知道什么是快乐。

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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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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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Mathematicians are like managers - they want improvement without change.

数学家就像经理一样，他们需要的是无需改变的改进。

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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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Mathematics is written for mathematicians.

数学是为数学家写的。

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