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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 is the language with which God has written the universe.

數學是上帝用來書寫宇宙的語言。

The only way to learn mathematics is to do mathematics.

學習數學的唯一方法就是做數學。

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.

數學家的模式，就像畫家或詩人的模式一樣，必須是美麗的；思想，就像顏色或文字一樣，必須以和諧的方式結合在一起。

Mathematics is the music of reason.

數學是理性的音樂。

To understand is to perceive patterns.

理解就是感知模式。

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。