Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
数学不知道种族或地理界限；对于数学来说，文化世界是一个国家。
The important thing is not to stop questioning. Curiosity has its own reason for existing.
重要的是不要停止提问。好奇心有其存在的理由。
Pure mathematics is, in its way, the poetry of logical ideas.
纯数学在某种程度上是逻辑思想的诗歌。
The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colors or the words, must fit together in a harmonious way.
数学家的模式，就像画家或诗人的模式一样，必须是美丽的；思想，就像颜色或文字一样，必须以和谐的方式结合在一起。
数学是理性的音乐。
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。
The only way to learn mathematics is to do mathematics.
学习数学的唯一方法就是做数学。
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
数学不是关于数字、方程、计算或算法：它是关于理解的。
The essence of mathematics lies in its freedom.
数学的本质在于它的自由。
If I have seen further, it is by standing on the shoulders of giants.
如果我看得更远，那是因为我站在巨人的肩膀上。