I am too good for philosophy and not good enough for physics. Mathematics is in between.

If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems.

Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expression and the highest scientific achievements.

Mathematics is not a spectator sport!

John von Neumann was the only student I was ever afraid of.

Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so inconspicuous. The expert has, perhaps, no more ideas than the inexperienced, but appreciates more what he has and uses it better.

Euclid 's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checking the argument in detail but far from being perfect for making understandable the main line of the argument.