To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not sense it himself. He cannot share his enthusiasm when he has no enthusiasm to share. How he makes his point may be as important as the point he makes; he must personally feel it to be important.

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

There exist a lot of questions that the fools can ask, and the intelligent cannot answer.

There are many questions which fools can ask that wise men cannot answer.

To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not sense it himself. He cannot share his enthusiasm when he has no enthusiasm to share. How he makes his point may be as important as the point he makes; he must personally feel it to be important.

Mathematics is not a spectator sport!

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