原文英文
If we want to foresee the future of mathematics, the proper way is to study the history and current state of the discipline. — Poincaré
A traveler who does not personally examine the solidity of every part of a bridge cannot go far. Even in mathematics, some risks must be taken.
Pure mathematics is the real wand of the magician. — Norbert Wiener (Novaless)
The reason I see further than Descartes is because I stand on the shoulders of giants. — Newton
“事类相推,各有攸归,故枝条虽分而同本干知,发其一端而已。又所析理以辞,解体用图,庶亦约而能周,通而不黩,览之者思过半矣……” — Liu Hui
Geometry has no royal road! — Euclid
Every new group discovered is mathematically structured, because we cannot have any other guide. — C. G. Darwin
The external form of thinking is usually this: conscious research — unconscious activity — conscious research. — Poincaré
原文中文
如果咱们想要预见数学的将来,适当的途径是研究这门学科的历史和现状。——庞加莱
不亲自检查桥梁的每一部分的坚固性就但是桥的旅行者是不可能走远的。甚至在数学中有些事情也要冒险。
纯数学是魔术家真正的魔杖。——诺瓦列斯
我之因此比笛卡儿看得远些,是正因我站在巨人的肩上。——牛顿
事类相推,各有攸归,故枝条虽分而同本干知,发其一端而已。又所析理以辞,解体用图,庶亦约而能周,通而不黩,览之者思过半矣……——刘徽
几何无王者之道!——欧几里得
发现每一个新的群体在形式上都是数学的,正因咱们不可能有其他的指导。——CG达尔文
思维的户外形式通常是这样的:有意识的研究——潜意识的活动——有意识的研究。——庞加莱