The interplay between discrete and continuous mathematics is where some of the most interesting problems lie.

离散数学和连续数学之间的相互作用是一些最有趣的问题所在。

Sometimes the most profound mathematics comes from playing with simple ideas until they reveal their hidden complexity.

有时最深刻的数学来自于玩弄简单的想法，直到它们展现出隐藏的复杂性。

The Erdős discrepancy problem fascinated me because it was so simple to state yet so deep in its implications.

埃尔德什差异问题让我着迷，因为它陈述起来如此简单，但含义却如此深刻。

Combinatorics is like the art of counting without actually counting.

组合数学就像是不用实际计数的计数艺术。

Persistence is key in mathematical research; many great results come from looking at the same problem from different angles over and over again.

在数学研究中，坚持是关键；许多伟大的成果来自于一遍又一遍地从不同角度看待同一个问题。

The most exciting moments in mathematics are when you discover that two seemingly unrelated areas are deeply connected.

数学中最令人兴奋的时刻是当你发现两个看似不相关的领域有着深刻的联系。

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

在数学中，提出问题的艺术必须比解决问题更有价值。

A good mathematician is someone who can see analogies between theorems; a great mathematician is someone who can see analogies between analogies.

一个好的数学家是能看到定理之间类比的人；一个伟大的数学家是能看到类比之间的类比的人。

The beauty of mathematics lies in its simplicity and universality.

数学的美在于它的简洁性和普遍性。

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

数学不是关于数字、方程、计算或算法的：它是关于理解的。