The principles of logic and mathematics are true universally simply because we never allow them to be anything else.
逻辑与数学原理之所以普遍为真，只不过是我们从不允许它们为假。
The sun shone, having no alternative, on the nothing new.
When you're depressed, It always helps to lean your head on your arm. Arms like to feel useful.
The arithmetic of algebraic groups is a central theme in the Langlands program.
重要的不是你击打得多用力，而是你能承受多大的打击并继续前进。
Be yourself; everyone else is already taken.
Innovation is not about working behind closed doors; it requires open cooperation and integrating global resources.
