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The advancement of mathematics is due to those who are driven not by the desire for application but by the joy of discovery.

數學的進步歸功于那些不是被應用的欲望驅動，而是被發現的喜悅驅動的人。

Mathematics is the music of reason.

數學是理性的音樂。

The only way to learn mathematics is to do mathematics.

學習數學的唯一方法就是做數學。

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

數學不是關于數字、方程、計算或算法的：它是關于理解的。

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

數學的研究是所有智力和精神進步不可或缺的基礎。

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邊界；對于數學來說，文化世界是一個國家。

The essence of mathematics is not to make simple things complicated, but to make complicated things simple.

數學的本質不是使簡單的事情復雜化，而是使復雜的事情簡單化。

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 the language in which God has written the universe.

數學是上帝用來書寫宇宙的語言。