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譯文：認識到過去所做的事是錯誤的，那么說明學問在日漸進步；能看到別人的言行有可取之處，說明德行操守在日漸提高。賞析：一個人的思想若要變得成熟，肯定要讀書學習，更要學習別人的長處和優點。人愚昧無知不可怕，最怕愚昧無知還不自知，還不懂得學習和改變。

朗蘭茲綱領是理解數學統一性的框架。

現實并不總是可能或可信的。

自由是在法律允許范圍內做任何事的權利。

The most important part of teaching is to teach what it is to know.

"The truth is always inconvenient."

詞語是心靈的足跡。

Words have power—use them wisely.

Dealing with failure is easy: Work hard to improve. Success is also easy to handle: You've solved the wrong problem. Work hard to improve.