I believe that proving is not a natural activity for mathematicians.

Topology is precisely the mathematical discipline that allows the passage from local to global.

If one must choose between rigour and meaning, I shall unhesitatingly choose the latter.

Quantum mechanics, with its leap into statistics, has been a mere palliative for our ignorance

The importance of the "New Mathematics" lies mainly in the fact that it has taught us the difference between the disc and the circle.

At a time when so many scholars in the world are calculating, is it not desirable that some, who can, dream ?

The world of ideas is not revealed to us in one stroke; we must both permanently and unceasingly recreate it in our consciousness.

Algebra is rich in structure but weak in meaning.

You story must be best told by you. Your experience is a sacred life.

...you have not only a very large portion of my affection and esteem, but all that I am capable of feeling...

Colonization is the key to our race’s survival. It’s as simple as that. We must colonize or be closed off and contained by other races.

Hell is just a frame of mind.

It does not matter how strong you are. You are to be my wife, and I will not have the woman I love put herself at risk. Ever.

Government is to point you in the right direction, and not to do everything for you.

Life in freedom is not easy, and democracy is not perfect.

You realize how much fun we did have, with no money at all. We'd stay in peoples' homes in Tangiers. When you're young, you invite yourself.

Hey, nothing grows to the sky. There will be a successor movement. Right now its nascent.

To paraphrase the great poet Dante, the heavens swirl above us and our eyes are still cast to the ground.