Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality.

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.

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.

Love is a practice. It’s up to you to choose it, prioritize it and commit to it.

Change what is into the wonder it can be.

Always be good, but be wickedly beautiful.

But you know you haven't done it all because you know everything keeps evolving and changing; and you know you can evolve with it if you grow and develop as a human being.

Sometimes all you need to do to win clever people over to a principle is to present it in the form of a shocking paradox.

There has never been a better time in the history of time than right now to start a business.

I can't talk about Kathy [Jeung] anymore, because she doesn't want me to talk about her, and I'm not even sure that it's an ongoing relationship.

I had this attitude that it was going to take time for my work to grow. I had to develop skills to do what I wanted and I didn't really expect it was going to happen rapidly.

Always keep your anger bottled up. You might need a bottle of anger some day when friends come by and won't leave.

The leap is made by dropping vanity over knowledge and by a willingness to become nothing in order to become everything.