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How could it be that the same technique applies to the Internet, the weather and the stock market? Why, without particularly trying, am I touching so many different aspects of many different things?
A recent, important turn in my life occurred when I realized that something that I have long been stating in footnotes should be put on the marquee. I have engaged myself, without realizing it, in undertaking a theory of roughness. Think of color, pitch, heaviness, and hotness. Each is the topic of a branch of physics. Chemistry is filled with acids, sugars, and alcohols; all are concepts derived from sensory perceptions. Roughness is just as important as all those other raw sensations, but was not studied for its own sake. ... I was not particularly precocious, but I'm particularly long-lived and continue to evolve even today. Above a multitude of specialized considerations, I see the bulk of my work as having been directed towards a single overarching goal: to develop a rigorous analysis for roughness. At long last, this theme has given powerful cohesion to my life ... my fate has been that what I undertook was fully understood only after the fact, very late in my life.

 

Benoit Mandelbrot

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A branch of physics that I was working in for many years has lately become much less active. Many problems have been solved and others are so difficult that nobody knows what to do about them. This means that I do much less physics today than 15 years ago. By contrast, fractal tools have plenty to do. There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable. The hammer I crafted is the first effective tool for all kinds of roughness and nobody will deny that there is at last some roughness everywhere.

 

Benoit Mandelbrot

 

A very strong military posture is vitally necessary today. How long it must continue I am not prepared to estimate, but I am sure that it is too narrow a basis on which to build a dependable, long-enduring peace. The guarantee for a long continued peace will depend on other factors in addition to a moderated military strength, and no less important. Perhaps the most important single factor will be a spiritual regeneration to develop goodwill, faith, and understanding among nations. Economic factors will undoubtedly play an important part. Agreements to secure a balance of power, however disagreeable they may seem, must likewise be considered. And with all these there must be wisdom and the will to act on that wisdom.

 

George Marshall

 

I knew, and it was an illumination — one of those things one has always known, but never understood before — that all sanity depends on this: that it should be a delight to feel the roughness of a carpet under smooth soles, a delight to feel heat strike the skin, a delight to stand upright, knowing the bones are moving easily under flesh. If this goes, then the conviction of life goes too. But I could feel none of this. ... I knew I was moving into a new dimension, further from sanity than I had ever been.

 

Doris Lessing

 

If, in each hour, a man could learn a single fragment of some branch of knowledge, a single rule of some mechanical art, a single pleasing story or proverb (the acquisition of which would require no effort), what a vast stock of learning he might lay by. Seneca is therefore right when he says: "Life is long, if we know how to use it." It is consequently of importance that we understand the art of making the very best use of our lives.

 

John Amos Comenius

 

If a Cynic is an object of pity, he seems a mere beggar; all turn away, all are offended at him. Nor should be be slovenly of look, so as not to scare men from him in this way either; on the contrary, his very roughness should be clean and attractive. (118)

 

Epictetus