Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.

  • -- Richard Courant 库兰特

数学作为人类思维的一种表达方式,反映了人类积极的意志、沉思的理性和对审美完美的渴望。其基本要素是逻辑与直觉、分析与建构、共性与个性。

相关名言

I think the only reason people hold on to memories so tight is because memories are the only thing that don't change; when everybody else does.

我认为人们如此执着于记忆的唯一原因是因为记忆是唯一不变的东西;当其他人都这么做的时候。

It must be borne in mind that the tragedy of life does not lie in not reaching your goal. The tragedy of life lies in having no goal to reach.

必须记住,生活的悲剧不在于没有达到你的目标。人生的悲剧就在于没有目标。

A few great minds are enough to endow humanity with monstrous power, but a few great hearts are not enough to make us worthy of using it.

少数伟大的思想足以赋予人类巨大的力量,但少数伟大的心灵不足以使我们值得使用它。

If the single man plant himself indomitably on his instincts, and there abide, the huge world will come round to him.

如果一个单身男人不屈不挠地依靠自己的直觉,并坚持下去,那么这个巨大的世界就会向他走来。

In mathematics the art of proposing a question must be held of higher value than solving it.

在数学中,提出问题的艺术必须比解决问题更有价值。

An absolute can only be given in an intuition, while all the rest has to do with analysis.

一个绝对只能凭直觉给出,其余的都与分析有关。

I go on expeditions for the same reason an estate agent sells houses - to pay the bills.

我去探险的原因和房地产经纪人卖房子的原因是一样的——付账单。

Mathematics allows for no hypocrisy and no vagueness.

数学不允许虚伪和模糊。