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The architect must be a poet, a builder, and a revolutionary.
Mathematics is the key to understanding the universe.
The world we see that seems so insane is the result of a belief system that is not working. To perceive the world differently, we must be willing to change our belief system, let the past slip away, expand our sense of now, and dissolve the fear in our minds.
When you have some success, the feeling of being an imposter can be real. Who am I fooling? But when you create things that only you — with your unique talents and experience — can do, then you are absolutely not an imposter. You are the ordained. It is your duty to work on things that only you can do.
The law isn't justice. It's a very imperfect mechanism. If you press exactly the right buttons and are also lucky, justice may show up in the answer.
科学的进步在于每一步发现一种新的秩序,这种秩序将长期以来看似不同的事物统一起来。
The Langlands program is a reflection of the depth and beauty of mathematical thought.