I spent my time very nicely in many ways, but not fully satisfactory. Then I became Professor in France, but realized that I was not – for the job that I should spend my life in.
BENOIT MANDELBROTNobody will deny that there is at least some roughness everywhere
More Benoit Mandelbrot Quotes
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Although computer memory is no longer expensive, there’s always a finite size buffer somewhere. When a big piece of news arrives, everybody sends a message to everybody else, and the buffer fills
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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.
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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.
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If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.
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Round about the accredited and orderly facts of every science there ever floats a sort of dustcloud of exceptional observations, of occurrences minute and irregular and seldom met with, which it always proves more easy to ignore than to attend to.
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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.
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Bottomless wonders spring from simple rules, which are repeated without end.
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Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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Think not of what you see, but what it took to produce what you see.
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
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There are very complex shapes which would be the same from close by and far away.
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I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.
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Some mathematicians didn’t even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.
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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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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.
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Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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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.
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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There is a saying that every nice piece of work needs the right person in the right place at the right time.
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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.
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My fate has been that what I undertook was fully understood only after the fact.
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Nobody will deny that there is at least some roughness everywhere
BENOIT MANDELBROT