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The only way to learn mathematics is to do mathematics.

學習數學的唯一方法就是做數學。

To understand the universe, you must understand the language in which it is written, and that language is mathematics.

要理解宇宙，你必須理解它所用的語言，那就是數學。

Mathematics is the music of reason.

數學是理性的音樂。

The study of mathematics is like air or gravity—it is everywhere, and you can't see it, but you know it's there.

數學的研究就像空氣或重力——它無處不在，你看不到它，但你知道它在那里。

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

數學不知道種族或地理界限；對于數學來說，文化世界是一個國家。

A mathematician is a device for turning coffee into theorems.

數學家是將咖啡轉化為定理的裝置。

The essence of mathematics lies in its freedom.

數學的本質在于它的自由。

In mathematics, the art of proposing a question must be held of higher value than solving it.

在數學中，提出問題的藝術必須比解決問題更有價值。

The beauty of mathematics only shows itself to more patient followers.

數學的美只向更有耐心的追隨者展示。

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

數學不僅僅是關于數字、方程、計算或算法：它是關于理解的。