If you look at a shape like a straight line, what’s remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.
BENOIT MANDELBROTI don’t seek power and do not run around
More Benoit Mandelbrot Quotes
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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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I had very, very little training in taking an exam to determine a scientist’s life in France.
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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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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made which were theoretically completely artificial pictures based upon that one very simple idea. And this picture everybody views as being clouds.
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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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I don’t seek power and do not run around
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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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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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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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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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Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled.
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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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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.
BENOIT MANDELBROT