Justice means minding your own business and not meddling with other men's concerns.
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.
The key to happiness is to have dreams. The key to success is to make your dreams come true.
Life isn't about finding yourself. Life is about creating yourself.
The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colors or the words, must fit together in a harmonious way.