My beautiful proof lies all in ruins.

A false conclusion once arrived at and widely accepted is not easily dislodged and the less it is understood the more tenaciously it is held.

To ask the right question is harder than to answer it.

Great innovation only happens when people aren't afraid to do things differently.

In Mathematics the art of proposing a question must be held of higher value than solving it.

The essence of mathematics lies precisely in its freedom.

A set is a Many that allows itself to be thought of as a One.

Don't always blindly follow guidance and step-by-step instructions; you might run into something interesting.

In mathematics, the art of asking questions is more valuable than solving problems.

There is no doubt that we cannot do without variable quantities in the sense of the potential infinite. But from this very fact the necessity of the actual infinite can be demonstrated.

Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number.

Why should man expect his prayer for mercy to be heard by What is above him when he shows no mercy to what is under him?

There was no luck. There was only preparation meets opportunity, and recognizing the latter and knowing when to seize it was ninety percent of any great success.

It is not good to wake a sleeping lion.

As contraries are known by contraries, so is the delight of presence best known by the torments of absence.

My private life is perfect. If your private life and your life outside football is good, then it is good on the field for you.

Everybody is friends when things are bad enough.

The incompetent leading the unwilling to do the unnecessary.

I said, well, it's a very primitive country, the United States, and it's full of superstitions, which come out of a very fundamental religious bias, which is primitive Christianity.

Animals, children, and the working class comprise the company in which I'll feel most at ease.

All styles are good except the tiresome kind.