I 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.
BENOIT MANDELBROTI went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
More Benoit Mandelbrot Quotes
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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 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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My fate has been that what I undertook was fully understood only after the fact.
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Engineering is too important to wait for science.
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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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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 was in an industrial laboratory because academia found me unsuitable
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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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If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).
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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 don’t seek power and do not run around
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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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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
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
BENOIT MANDELBROT