My book, The Fractal Geometry of Nature, reproduced Hokusai's print of the Great Wave, the famous picture with Mt. Fuji in the background, and also mentioned other unrecognized examples of fractality in art and engineering. Initially, I viewed them as amusing but not essential. But I changed my mind as innumerable readers made me aware of something strange. They made me look around and recognize fractals in the works of artists since time immemorial. I now collect such works. An extraordinary amount of arrogance is present in any claim of having been the first in "inventing" something. It's an arrogance that some enjoy, and others do not. Now I reach beyond arrogance when I proclaim that fractals had been pictured forever but their true role remained unrecognized and waited for me to be uncovered.
Benoît MandelbrotRelated topics
amount arrogance art background beyond book claim collect engineering essential extraordinary forever geometry great having mind nature now picture present print reach role something strange time wave others works fuji fractal fractalityRelated quotes
Towards the end of 1958, I greatly increased.. ..the works done with what is called poor material. I felt the need to persist and go deeper with the entire message of what is insignificant, worn or dramatised by time.. .In fact, it was the most conscious resumption of subjects that had often attracted me. In my research, I had discovered this material, one I find loaded with strange suggestions, which is cardboard. A grey, anonymous material that won't be easily manipulated, for which very reason the slightest mark of the hand torments it and destroys it. But the piece of cardboard, the box, the lid, the tray.. ..dirty clothes (socks, T-shirt, underpants...), old furniture, everyday objects; not used as a representation or theme in the picture but as real bodies, objects.
Antoni Tàpies
I really have no claim to rank myself among fatalistic, materialistic, or atheistic philosophers. Not among fatalists, for I take the conception of necessity to have a logical, and not a physical foundation; not among materialists, for I am utterly incapable of conceiving the existence of matter if there is no mind in which to picture that existence; not among atheists, for the problem of the ultimate cause of existence is one which seems to me to be hopelessly out of reach of my poor powers. Of all the senseless babble I have ever had occasion to read, the demonstrations of these philosophers who undertake to tell us all about the nature of God would be the worst, if they were not surpassed by the still greater absurdities of the philosophers who try to prove that there is no God.
Thomas Henry Huxley
At present, I am particularly excited by 'bad taste'. I have the deep feeling that there exists in the very essence of bad taste a power capable of creating those things situated far beyond what is traditionally termed 'The Work of Art'. I wish to play with human feeling, with its 'morbidity' in a cold and ferocious manner. Only very recently I have become a sort of gravedigger of art (oddly enough, I am using the very terms of my enemies). Some of my latest works have been coffins and tombs. During the same time I succeeded in painting with fire, using particularly powerful and searing gas flames, some of them measuring three to four meters high. I use these to bathe the surface of the painting in such a way that it registered the spontaneous trace of fire.
Yves Klein
Keynes didn't make an all-out assault on Economic Man, but he often resorted to plausible psychological theorizing rather than careful analysis of what a rational decision-maker would do. Business decisions were driven by "animal spirits,” consumer decisions by a psychological tendency to spend some but not all of any increase in income, wage settlements by a sense of fairness, and so on.
But was it really a good idea to diminish the role of Economic Man that much? No, said Friedman, who argued in his 1953 essay "The Methodology of Positive Economics” that economic theories should be judged not by their psychological realism but by their ability to predict behavior. And Friedman's two greatest triumphs as an economic theorist came from applying the hypothesis of rational behavior to questions other economists had thought beyond its reach.
Paul Krugman
I adopt Mr. Darwin's hypothesis, therefore, subject to the production of proof that physiological species may be produced by selective breeding; just as a physical philosopher may accept the undulatory theory of light, subject to the proof of the existence of the hypothetical ether; or as the chemist adopts the atomic theory, subject to the proof of the existence of atoms; and for exactly the same reasons, namely, that it has an immense amount of primâ facie probability: that it is the only means at present within reach of reducing the chaos of observed facts to order; and lastly, that it is the most powerful instrument of investigation which has been presented to naturalists since the invention of the natural system of classification and the commencement of the systematic study of embryology.
Thomas Henry Huxley
