The three-legged stool of understanding is held up by history, languages, and mathematics. Equipped with these three you can learn anything you want to learn. But if you lack any one of them you are just another ignorant peasant with dung on your boots. -- Robert Heinlein A young man wrote to Mozart and said: Q: "Herr Mozart, I am thinking of writing symphonies. Can you give me any suggestions as to how to get started?" A: "A symphony is a very complex musical form, perhaps you should begin with some simple lieder and work your way up to a symphony." Q: "But Herr Mozart, you were writing symphonies when you were 8 years old." A: "But I never asked anybody how." Since I didn't know anything about physics or know any real math (I had calculus in high school and enjoyed it, but had forgotten most of it), I had to teach myself everything from scratch. Let me just say it was a total blast. I _highly_ recommend everyone taking the time to learn something really big and new every once in a while, in addition to all the little things we're all [hopefully] learning every day. As a bonus, it seems that the more we learn, the faster we're able to learn even newer things, which makes the whole process even more pleasurable. -- Chris Hecker It would be a mistake to assume that the present-day educational system is unchanging. On the contrary, it is undergoing rapid change. But much of this change is no more than an attempt to refine the existent machinery, making it ever more efficient in pursuit of obsolete goals. -Alvin Toffler Education's purpose is to replace an empty mind with an open one. --Malcolm Forbes 'I'm teaching you things all the time,' said Lu-Tze. 'You might not be learning them, of course.' -- Terry pratchett, Thief of Time One repays a teacher badly if one always remains a pupil only. Why do you not pluck at my wreath? - Nietzsche "As a man of ideas, he craved to satisfy the thirst of his brain, to assimilate every idea" from 'Louis Lamert' by Honore De Balzac "To teach a man how he may learn to grow independently, and for himself, is perhaps the greatest service that one man can do another." -Benjamin Jowett All men by nature desire to know. Aristotle Along the path, glued to the windowpanes or hung on the bushes or dangling from the ceiling, so that all free space was put to maximum use, hundreds of little placards were displayed. Each one carried a drawing, a photograph, or an inscription, and the whole constituted a veritable encyclopedia of what we call 'human knowledge.' A diagram of a plant cell, Mendeleieff's periodic table of the elements, a key to Chinese writing, a cross-section of the human heart, Lorentz's transformation formulae, each planet and its characteristics, fossil remains of the horse species in series, Mayan hieroglyphics, economic and demographic statistics, musical phrases, samples of the principal plant and animal families, crystal specimens, the ground plan of the Great Pyramid, brain diagrams, logistic equations, phonetic charts of the sounds employed in all languages, maps, genealogies -- everything in short which would fill the brain of a twentieth-century Pico della Mirandola... Rene Daumal, _Mount Analogue_ Toffler, Alvin "The illiterate of the 21st century will not be those who cannot read and write, but those who cannot learn, unlearn, and relearn." ...since we can't know what knowledge will be most needed in the future, it is senseless to try to teach it in advance. Instead, we should try to turn out people who love learning so much and learn so well that they will be able to learn whatever needs to be learned. John Holt The principle goal of education is to create men who are capable of doing new things, not simply of repeating what other generations have done - men who are creative, inventive and discoverers. Jean Piaget After all, what was the point of teaching children to be children? They were naturally good at it. Terry Pratchett, Hogfather Many have marked the speed with which Muad'dib learned the necessities of Arrakis. The Bene Gesserit, of course, know the basis of this speed. For the others, we can say that Muad'Dib learned rapidly because his first training was in how to learn. And the first lesson of all was the basic trust that he could learn. It is shocking to find how many people do not believe they can learn, and how many more believe learning to be difficult. Muad'Dib knew that every experience carries its lesson. from "The Humanity of Muad'Dib" by the Princess Irulan Dune 66 "Poor is the pupil who does not surpass his master." > Leonardo da Vinci "Teaching should be such that what is offered is perceived as a valuable gift and not as a hard duty ." Albert Einstein A little learning is a dang'rous thing; Drink deep, or taste not the Pierian spring: There shallow draughts intoxicate the brain, And drinking largely sobers us again. The battle cry is "preparing students for the 21st century." This is backward. We should be concerned about preparing a 21st century worthy of our students. Stephen L. Talbott Battre nyfiken och obildad an bildad och likgiltig. Robert Soderberg The mind is not a vessel to be filled but a fire to be kindled. - Plutarch - "The only rational way of educating is to be an example-- if one can't help it, a warning example." -- Albert Einstein Education is the process of telling smaller and smaller lies. \author{J. R. Deller, Jr.} \attribute{{\it Tom, Dick, and Mary discover the DFT}} \detailed{IEEE Signal Processing Magazine, April 1994, pp. 36} 'He has mastered the 'How.' Now he must learn the 'Why.'' -- Kung Fu: The Legend Continues An all-knowing god never learns. Mike Cowar "You must be able to do something before you can be rewarded for doing it!" Marvin Minsky (20th Century)