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One of my conjectures was solved in six months, a second in five years, a third in ten. But the basic conjecture, despite heroic efforts rewarded by two Fields Medals, remains a conjecture, now called MLC: the Mandelbrot Set is locally connected. The notion that these conjectures might have been reached by pure thought — with no picture — is simply inconceivable.

— Benoît Mandelbrot A Theory of Roughness (2004)

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More quotes by Benoît Mandelbrot

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.

Unfortunately, the world has not been designed for the convenience of mathematicians.

The (Mis)Behavior of Markets (2004)

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

The Fractal Geometry of Nature (1982)

Engineering is too important to wait for science.

Contrary to popular opinion, mathematics is about simplifying life, not complicating it.

The (Mis)Behavior of Markets (2004)

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Quote text and notes from Wikiquote: Benoît Mandelbrot (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.