The study of mathematics is the indispensable basis for all intellectual and spiritual progress.

数学的研究是所有智力和精神进步不可或缺的基础。

Mathematics is the language with which God has written the universe.

数学是上帝用来书写宇宙的语言。

The only way to learn mathematics is to do mathematics.

学习数学的唯一方法就是做数学。

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。

Mathematics is the music of reason.

数学是理性的音乐。

To understand is to perceive patterns.

理解就是感知模式。

The essence of mathematics lies in its freedom.

数学的本质在于它的自由。

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 beauty of mathematics only shows itself to more patient followers.

数学的美只向更有耐心的追随者展示。

Mathematics is not just about numbers, equations, computations, or algorithms: it is about understanding.

数学不仅仅是关于数字、方程、计算或算法：它是关于理解的。