...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know

Point set topology is a disease from which the human race will soon recover.

It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.

There are no solved problems; there are only problems that are more or less solved.

The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.

Doubt everything or believe everything: these are two equally convenient strategies. With either we dispense with the need for reflection.

If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living

It is through science that we prove, but through intuition that we discover.

Geometry is the art of correct reasoning from incorrectly drawn figures.

One geometry cannot be more true than another; it can only be more convenient.

It is far better to foresee even without certainty than not to foresee at all.

Clinging to one’s outward appearance interferes with living.

The farther away you get from the literary traffic, the closer you are to sources.

My fondest memories are generally the day after Thanksgiving. I get the total decorating Christmas itch.

Copying is about reverse-engineering.

I support stem cell research, including embryonic stem cell research.

I love the music, but being on the road ain't a piece of cake, but it is real rewarding. You've got to - all those people can't come to my house, so I've got to go out on the road and play for them.

The greatest misfortune of the wise man and the greatest unhappiness of the fool are based upon convention.

You'll never please everyone, but you only have to please a few people to get an offer.

My agenda is trying to help people live a better life.

People feel completely anonymous online. They can say whatever they want, do whatever they want, why not go the next step and kill people through the Internet?