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

Intuition makes much of it; I mean by this the faculty of seeing a connection between things that in appearance are completely different; it does not fail to lead us astray quite often.

直觉很重要;我的意思是看事物之间的联系的能力在表面上是完全不同的;它常常使我们误入歧途。

It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.

正是数学本身的永葆青春,使它与其他科学令人不安的不朽性相区别。

The especial genius of women I believe to be electrical in movement, intuitive in function, spiritual in tendency.

我认为女性的特殊天赋在于她们在运动上是电性的,在功能上是直觉的,在倾向上是灵性的。

It's really ironic that I won, because that's not the goal that I had in mind when I went out to skate.

很讽刺的是我赢了,因为这不是我出去滑冰时想要达到的目标。

No matter what political reasons are given for war, the underlying reason is always economic.

不管战争的政治原因是什么,其根本原因总是经济上的。

Education's purpose is to replace an empty mind with an open one.

教育的目的是用开放的思想取代空虚的思想。

There should be no such thing as boring mathematics.

不应该有无聊的数学。

Just dying should not be a reason for taxes.

死亡不应该成为征税的理由。