“For the moment, what we attend to is reality.”

Asking the right questions is as important as answering them

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.

There is a saying that every nice piece of work needs the right person in the right place at the right time.

I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.

Engineering is too important to wait for science.

The most complex object in mathematics, the Mandelbrot Set … is so complex as to be uncontrollable by mankind and describable as ‘chaos’.

The purpose of life is to realize God within ourselves. This can be done even whilst attending to our worldly duties.

There may be a time when we’ll attend Weather Theaters to recall the sensation of rain.

Some disagreeable circumstances that attend my situation.

Love, Mercy, and Grace, sisters all, attend your wounds of silence and hope.

It’s not enough to attend church and pray every Sunday; you have to act.

Perils as well as privileges attend the higher Christian life. The nearer we come to God, the thicker the hosts of darkness in heavenly places. Aggressive Christianity is the world’s greatest need.

My first introduction to South Africa’s struggle for freedom came when I was just 17. I had volunteered to speak in my mother’s stead at a United Nations forum on South Africa because she was unable to attend on that occasion.

If you have so much business to attend to that you have no time to pray, depend upon it that you have more business on hand than God ever intended you should have.