The deepest theorems often arise from the simplest observations.

最深刻的定理往往源于最简单的观察。

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

数学是给不同事物以相同名称的艺术。

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

最好的数学不仅正确，而且具有启发性。

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

在数学中，真理不是通过共识而是通过证明来发现的。

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

数学的快乐来自于复杂事物变得简单的清晰时刻。

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

数学家的工作大多是孤独的追求，但它建立在许多其他人的工作之上。

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

数学中最重要的是提出正确的问题。

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

做数学就是参与发现与猜想、直觉与灵感的过程。

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

数学的美只对那些更有耐心的追随者展现。

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，而是关于理解。