Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.

-- G. H. Hardy 戈弗雷·哈罗德·哈代

从整体上看，纯数学明显比应用数学更有用。因为最重要的是技术，而数学技术主要是通过纯数学来教授的。

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Mathematical Techniques

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If we fight our enemy using the same inhumane and morally bankrupt techniques that we are trying to stop, we will simply become what we have beheld.

如果我们用我们试图制止的同样不人道和道德败坏的手段来对付我们的敌人，我们就会变成我们所看到的那样。

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Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.

欧几里得告诉我，没有假设就没有证据。因此，在任何论证中，都要检验假设。

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I love learning new techniques.

我喜欢学习新技术。

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