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.
Benoit MandelbrotI've been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I'm not a mathematician only. I'm a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.
Benoit MandelbrotThe most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.
Benoit MandelbrotBeing a language, mathematics may be used not only to inform but also, among other things, to seduce.
Benoit MandelbrotThe extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may not be true. And that idea is still unproven. It is the foundation, what started me and what everybody failed to **** prove has so far defeated the greatest efforts by experts to be proven.
Benoit Mandelbrot