Benoit Mandelbrot Quotes
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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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Bottomless wonders spring from simple rules, which are repeated without end.
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I was asking questions which nobody else had asked before, because nobody else had actually looked at certain structures. Therefore, as I will tell, the advent of the computer, not as a computer but as a drawing machine, was for me a major event in my life. That's why I was motivated to participate in the birth of computer graphics, because for me computer graphics was a way of extending my hand, extending it and being able to draw things which my hand by itself, and the hands of nobody else before, would not have been able to represent.
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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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Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of competition by withdrawing entirely into narrowly defined specialties. The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.
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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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There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable
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Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.
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A formula can be very simple, and create a universe of bottomless complexity.
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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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Engineering is too important to wait for science.
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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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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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 was in an industrial laboratory because academia found me unsuitable
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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 Mandelbrot set is the most complex mathematical object known to mankind.
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Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find new ideas. That was the case long ago in the Middle Ages, in the Renaissance, in later periods, but then mathematicians had become very abstract.
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When people ask me what's my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.
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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 claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid - a term used in this work to denote all of standard geometry - Nature exhibits not simply a higher degree but an altogether different level of complexity ... The existence of these patterns challenges us to study these forms that Euclid leaves aside as being "formless," to investigate the morphology of the "amorphous."
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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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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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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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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Asking the right questions is as important as answering them
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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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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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There are very complex shapes which would be the same from close by and far away.
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Benoit Mandelbrot
- Born: November 20, 1924
- Died: October 14, 2010
- Occupation: Mathematician
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