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

離散數學和連續數學之間的相互作用是一些最有趣的問題所在。

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

有時最深刻的數學來自于玩弄簡單的想法，直到它們展現出隱藏的復雜性。

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

埃爾德什差異問題讓我著迷，因為它陳述起來如此簡單，但含義卻如此深刻。

Combinatorics is like the art of counting without actually counting.

組合數學就像是不用實際計數的計數藝術。

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

在數學研究中，堅持是關鍵；許多偉大的成果來自于一遍又一遍地從不同角度看待同一個問題。

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

數學中最令人興奮的時刻是當你發現兩個看似不相關的領域有著深刻的聯系。

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。

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

一個好的數學家是能看到定理之間類比的人；一個偉大的數學家是能看到類比之間的類比的人。

The beauty of mathematics lies in its simplicity and universality.

數學的美在于它的簡潔性和普遍性。

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。