Monster Quotes (3)
...the genes almost always accurately reproduce. If they don't, you get one of the following results: One, monsters—that is, grossly malformed babies resulting from genetic mistakes. Years ago most monsters died, but now many can be saved. This has made possible the National Football League.
Found widely quoted on the web, but without a print source. Please contact webmaster if you know the primary source.
Fractal is a word invented by Mandelbrot to bring together under one heading a large class of objects that have [played] ... an historical role ... in the development of pure mathematics. A great revolution of ideas separates the classical mathematics of the 19th century from the modern mathematics of the 20th. Classical mathematics had its roots in the regular geometric structures of Euclid and the continuously evolving dynamics of Newton.? Modern mathematics began with Cantor's set theory and Peano's space-filling curve. Historically, the revolution was forced by the discovery of mathematical structures that did not fit the patterns of Euclid and Newton. These new structures were regarded ... as 'pathological,' ... as a 'gallery of monsters,' akin to the cubist paintings and atonal music that were upsetting established standards of taste in the arts at about the same time. The mathematicians who created the monsters regarded them as important in showing that the world of pure mathematics contains a richness of possibilities going far beyond the simple structures that they saw in Nature. Twentieth-century mathematics flowered in the belief that it had transcended completely the limitations imposed by its natural origins.
Now, as Mandelbrot points out, ... Nature has played a joke on the mathematicians. The 19th-century mathematicians may not have been lacking in imagination, but Nature was not. The same pathological structures that the mathematicians invented to break loose from 19th-century naturalism turn out to be inherent in familiar objects all around us.
Now, as Mandelbrot points out, ... Nature has played a joke on the mathematicians. The 19th-century mathematicians may not have been lacking in imagination, but Nature was not. The same pathological structures that the mathematicians invented to break loose from 19th-century naturalism turn out to be inherent in familiar objects all around us.
Characterizing Irregularity', Science (12 May 1978), 200, No. 4342, 677-678. Quoted in Benoit Mandelbrot, The Fractal Geometry of Nature (1977), 3-4.
See also: | Euclid (19) | Fractal (6) | Idea (83) | Imagination (50) | Benoit Mandelbrot (9) | Mathematician (66) | Nature (243) | Sir Isaac Newton (82) | Nomenclature (51) | Painting (4) | Revolution (10) | Structure (33)
Visualize yourself confronted with the task of killing, one after the other, a cabbage, a fly, a fish, a lizard, a guinea pig, a cat, a dog, a monkey and a baby chimpanzee. In the unlikely case that you should experience no greater inhibitions in killing the chimpanzee than in destroying the cabbage or the fly, my advice to you is to commit suicide at your earliest possible convenience, because you are a weird monstrosity and a public danger.
'The Enmity Between Generations and Its Probable Ethological Causes'. In Richard I. Evans, Konrad Lorenz: The Man and his Ideas (1975), 227.
See also: | Cabbage (2) | Cat (4) | Chimpanzee (3) | Danger (9) | Dog (6) | Fish (11) | Fly (9) | Inhibition (4) | Kill (7) | Monkey (10) | Suicide (8)