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.
BENOIT MANDELBROTI didn’t feel comfortable at first with pure mathematics, or as a professor of pure mathematics. I wanted to do a little bit of everything and explore the world.
More Benoit Mandelbrot Quotes
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A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
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Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid.
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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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Beautiful, damn hard, increasingly useful. That’s fractals.
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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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I had very, very little training in taking an exam to determine a scientist’s life in France.
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In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.
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My life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.
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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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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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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.
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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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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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Unfortunately, the world has not been designed for the convenience of mathematicians.
BENOIT MANDELBROT