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

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.

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.

My beautiful proof lies all in ruins.

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.

Perhaps the greatest and least visible form of impoverishment caused by the Corporate State is the destruction of community.

I believe in salvation through economic, social, and spiritual freedom.

Things are not what they appear to be: nor are they otherwise.

I am the man of the century. No one will ever forget me.

I didn't say I was running, did I?

I always wanted to entertain. When I was six, a scrawny, scrawny kid, Id get in my red speedo and do muscle moves. I actually thought I was muscular. I didnt know everyone was laughing at me.

Resist the temptation to try to use dazzling style to conceal weakness of substance.

We Greeks are lovers of the beautiful, yet simple in our tastes, and we cultivate the mind without loss of manliness.

The concept of progress must be grounded in the idea of catastrophe. That things are 'status quo' is the catastrophe

If you're willing to stand for what you believe in ... you won't need advice from me, because you will be able to handle whatever comes.