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The most exciting moments in mathematics are when you discover something that was hidden in plain sight.
The best mathematics is that which you do not understand at first glance.
The most exciting thing is when you suddenly see the solution to a problem that has been puzzling you for a long time.
When you solve a mathematical problem, you don't just get the answer - you understand why it's the answer.
I think that the thing that makes mathematics worthwhile is the fact that it has this incredible structure that you can explore and discover.
The only way to do great work is to love what you do.
You don't have to be a mathematician to have a feel for numbers.
The deepest theorems often have the simplest proofs - if you look at them from the right angle.
In mathematics, truth is always relative to the system you're working in.
The most exciting moments in mathematics are when you discover that two seemingly unrelated areas are deeply connected.
In mathematics, you don't understand things. You just get used to them.
Mathematics is not a deductive science—that's a cliché. When you try to prove a theorem, you don't just list the hypotheses and then start to reason. What you do is trial and error, experimentation, guesswork.
To do mathematics is to explore a universe of ideas, where the only limit is your imagination.
The computer is unimportant. It can only give you answers.
Mathematics is not a spectator sport; you have to play to understand.
The deeper you go into mathematics, the more you realize how interconnected everything is.
Mathematics is an art, and as an artist, you have to be honest with yourself.
When you build with local materials, you build with local knowledge. This is how architecture becomes truly sustainable.
The most important thing in architecture is what you cannot see.
Architecture is the mirror of life. You embody in buildings your beliefs, your ideas, your aspirations.