“Asking the right questions is as important as answering them”

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.

When people ask me what’s my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.

I didn’t want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure – I wanted to do something different.

The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.

Being a language, mathematics may be used not only to inform but also, among other things, to seduce.

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.

Nobody will deny that there is at least some roughness everywhere

The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.

A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…

I don’t seek power and do not run around

I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.

A formula can be very simple, and create a universe of bottomless complexity.

In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.

Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.

Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics

I’ve been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I’m not a mathematician only. I’m a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.

If you are asking me if I would advocate that the Chinese go to greater flexibility in their exchange rate, I certainly would.

There is no such thing as a dumb question but there is such a thing as a dumb person asking a question.

A man asking for help ought to at least give directions.

When we finally stop asking America to love us and begin to love ourselves, we will prosper as a people.

You owe the companies nothing. You especially don’t owe them any courtesy. They have re-arranged the world to put themselves in front of you. They never asked for your permission, don’t even start asking for theirs.

Asking the question whether the mainstream media has a liberal or conservative bias is like asking whether al Qaeda uses too much oil in their hummus.

By not asking too much, you can believe in almost anything..like..a starry night in the mountains, or even the existence of fate.

Instead of striving towards some distant goal that you will never reach, I invite you to stop and ask: How am I avoiding the enlightenment that is already present in each moment? How am I seeing separation where it doesn’t exist?