Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
BENOIT MANDELBROTA 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.
More Benoit Mandelbrot Quotes
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Beautiful, damn hard, increasingly useful. That’s fractals.
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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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Bottomless wonders spring from simple rules, which are repeated without end.
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Think not of what you see, but what it took to produce what you see.
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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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Asking the right questions is as important as answering them
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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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Engineering is too important to wait for science.
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The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
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Order doesn’t come by itself.
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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 went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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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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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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Nobody will deny that there is at least some roughness everywhere
BENOIT MANDELBROT