You will never be able to escape from your heart. So it's better to listen to what it has to say. That way, you'll never have to fear an unanticipated blow.
The mind is not a vessel to be filled, but a fire to be kindled.
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 only thing that stands between you and your dream is the will to try and the belief that it is actually possible.