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。

相关名言

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。

I reveled in the most basic rules and techniques that are the foundation of professional cooking. For example, it is essential to use a sharp knife: the sharper the knife, the more fluid and precise your work and the less likely you are to get hurt. Dull knives are a danger - they slip far more often.

我沉醉于最基本的规则和技巧,这是专业烹饪的基础。例如,使用锋利的刀是很重要的:刀越锋利,你的工作就越流畅和精确,你受伤的可能性就越小。钝刀是一种危险——它们更容易滑倒。

I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.

我意识到,在这项事业中,我把自己置身于一种与广泛持有的有关数学无限大的观点和经常为数字的本质辩护的观点相反的立场。

To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers.

在我看来,只强调美就像一个数学系统,只关注它自己的正数。