Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
BENOIT MANDELBROTThe 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.
More Benoit Mandelbrot Quotes
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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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A formula can be very simple, and create a universe of bottomless complexity.
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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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A fractal is a way of seeing infinity.
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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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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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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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Engineering is too important to wait for science.
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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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Asking the right questions is as important as answering them
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I don’t seek power and do not run around
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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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Order doesn’t come by itself.
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Bottomless wonders spring from simple rules, which are repeated without end.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
BENOIT MANDELBROT