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Nobody will deny that there is at least some roughness everywhere

Benoit Mandelbrot

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Benoit Mandelbrot
Age: 85 †
Born: 1924
Born: November 20
Died: 2010
Died: October 14
Computer Scientist
Economist
Engineer
Mathematician
Professor
Scientist
Writer
Warszawa
Mandelbrot
B. B.‏
Benoît Mandelbrot
Benoit B. Mandelbrot
Roughness
Deny
Everywhere
Nobody
Least

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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.
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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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My fate has been that what I undertook was fully understood only after the fact.
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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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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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Unfortunately, the world has not been designed for the convenience of mathematicians.
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Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
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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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Engineering is too important to wait for science.
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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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One couldn't even measure roughness. So, by luck, and by reward for persistence, I did found the theory of roughness, which certainly I didn't expect and expecting to found one would have been pure madness.
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The Mandelbrot set is the most complex mathematical object known to mankind.
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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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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.
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The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
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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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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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A formula can be very simple, and create a universe of bottomless complexity.
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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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There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable
Benoit Mandelbrot