My fate has been that what I undertook was fully understood only after the fact.
BENOIT MANDELBROTSome 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.
More Benoit Mandelbrot Quotes
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I don’t seek power and do not run around
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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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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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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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Although computer memory is no longer expensive, there’s always a finite size buffer somewhere. When a big piece of news arrives, everybody sends a message to everybody else, and the buffer fills
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There are very complex shapes which would be the same from close by and far away.
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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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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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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A formula can be very simple, and create a universe of bottomless complexity.
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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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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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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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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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Unfortunately, the world has not been designed for the convenience of mathematicians.
BENOIT MANDELBROT