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The deepest theorems often arise from the simplest observations.

最深刻的定理往往源于最簡單的觀察。

Mathematics is the art of giving the same name to different things.

數學是給不同事物以相同名稱的藝術。

The best mathematics is not just correct; it is illuminating.

最好的數學不僅正確，而且具有啟發性。

In mathematics, truth is found not through consensus but through proof.

在數學中，真理不是通過共識而是通過證明來發現的。

The joy of mathematics comes from the moments of clarity when complex things become simple.

數學的快樂來自于復雜事物變得簡單的清晰時刻。

A mathematician's work is mostly a solitary pursuit, but it builds on the work of many others.

數學家的工作大多是孤獨的追求，但它建立在許多其他人的工作之上。

The most important thing in mathematics is to ask the right questions.

數學中最重要的是提出正確的問題。

To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration.

做數學就是參與發現與猜想、直覺與靈感的過程。

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

數學的美只對那些更有耐心的追隨者展現。

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，而是關于理解。