Benoit Mandelbrot Quotes about Nature

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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.

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.

Benoit Mandelbrot

Nature, Lying, Science

"Benoît Mandelbrot obituary' by Nigel Lesmoir-Gordon, www.theguardian.com. October 17, 2010.

The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.

Benoit Mandelbrot

Nature, Science, Challenges

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).

Benoit Mandelbrot

Nature, Science, Past

Benoit B. Mandelbrot, Richard L. Hudson (2010). “The (Mis)Behaviour of Markets: A Fractal View of Risk, Ruin and Reward”, p.86, Profile Books