For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?

  • -- Richard Courant 库兰特

对于学者和门外汉来说,只有数学本身的积极经验,而不是哲学,才能回答这个问题:什么是数学?

相关名言

As a system of philosophy it is not like the Tower of Babel, so daring its high aim as to seek a shelter against God's anger; but it is like a pyramid poised on its apex.

作为一种哲学体系,它不像巴别塔,大胆地追求它的崇高目标,以寻求庇护来抵御上帝的愤怒;但它就像一个金字塔,在它的顶端保持平衡。

Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.

每个人都知道曲线是什么,直到他学习了足够多的数学知识,对无数可能的例外感到困惑。

The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.

数学存在的时间越长,它就变得越抽象,因此也可能变得越实用。

Beyond the fiction of reality, there is the reality of the fiction.

现实的虚构之外,还有虚构的现实。