Clergyman's

Unfortunately, the world has not been designed for the convenience of mathematicians.
- Benoît Mandelbrot

When the weather changes and hurricanes hit, nobody believes that the laws of physics have changed. Similarly, I don't believe that when the stock market goes into terrible gyrations its rules have changed. It's the same stock market with the same mechanisms and the same people.
- Benoît Mandelbrot

My life seemed to be a series of events and accidents. Yet when I look back I see a pattern.
- Benoît Mandelbrot

How Long Is the Coast of Britain?
- Benoît Mandelbrot

My work is more varied than at any other point in my life. I am still carrying out research in pure mathematics. And I am working on an idea that I had several years ago on negative dimensions. … Negative dimensions are a way of measuring how empty something is. In mathematics, only one set is called empty. It contains nothing whatsoever. But I argued that some sets are emptier than others in a certain useful way. It is an idea that almost everyone greets with great suspicion, thinking I've gone soft in the brain in my old age. Then I explain it and people realise it is obvious. Now I'm developing the idea fully with a colleague. I have high hopes that once we write it down properly and give a few lectures about it at suitable places that negative dimensions will become standard in mathematics.
- Benoît Mandelbrot

A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension.
- Benoît Mandelbrot