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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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I consider myself an actor that tries to have as many tools as possible in the bag. And I think that includes the method, then of course it includes some improv techniques, and includes all kinds of different things, because you never know when you're going to have to work on something and in what way.

我认为自己是一个演员，试图在包里有尽可能多的工具。我认为这包括方法，当然也包括一些即兴表演的技巧，包括各种不同的东西，因为你永远不知道什么时候你要做什么，用什么方法。

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Cyberspace. A consensual hallucination experienced daily by billions of legitimate operators, in every nation, by children being taught mathematical concepts.

网络空间。在每个国家，每天都有数以亿计的合法操作者，通过教孩子数学概念，体验到一种双方同意的幻觉。

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It is impossible to trap modern physics into predicting anything with perfect determinism because it deals with probabilities from the outset.

现代物理学不可能用完全决定论来预测任何事情，因为它从一开始就涉及概率。

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