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Henri Poincaré: Mathematical Creation Identification Number: 385

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Preview: Henri Poincaré Mathematical Creation All the inventions that the world contains, Were not by reason first found out, nor brains; But pass for theirs who had the luck to light Upon them by mistake or oversight. SAMUEL BUTLER (1612-1680) The genesis of mathematical creation is a problem which should intensely interest the psychologist. It is the activity in which the human mind seems to take least from the outside world, in which it acts or seems to act only of itself and on itself, so that in studying the procedure of geometric thought we may hope to reach what is most essential in man's mind. This has long been appreciated, and some time back the journal called L' enseignement mathematique, edited by Laisant and Fehr, began an in vestigation of the mental habits and methods of work of different mathe maticians. I had finished the main outlines of this article when th... read more: click here Visitors: 15,198 Tagged by its author as: Scientifical Reviews This author also has a Blog Entropy Revised - At A Glance Identification Number: 380

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Preview: Entropy is the tendency of a system to produce disorder if left to its own devices - typical example the egg flung on a floor: the chances that by keeping throwing it (or shuffling it) you will have back a whole egg are almost nigh, though theoretically it would definitely be a possible combination. Yet, why a smooth net of splashed atoms is considered ordered, and a integer egg as a disorder? That is, entropy says that when atoms are arranged in such a way so to constitute nothing else than an unform net, that is "order"; when they arranged in such a way as to build up the computer you're using now, that's "disorder". Though nothing of this invalidates the entropy theory (it is a fact that a built system decays into sparsed atoms, provided you fuel them with enough time and no care all the while), one wonders why it deems ordered a status where nothing is built up. If that would be the correct manner of perceiving things, then the world would not be built out of chaos, but ou... read more: click here Visitors: 14,597 Tagged by its author as: Scientifical Reviews This author also has a Blog Richard Feynman: Cargo Cult Science Identification Number: 365

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Preview: Richard Feynman Cargo Cult Science During the Middle Ages there were all kinds of crazy ideas, such as that a piece of of rhinoceros horn would increase potency. Then a method was discovered for separating the ideas which was to try one to see if it worked, and if it didn't work, to eliminate it. This method became organized, of course, into science. And it developed very well, so that we are now in the scientific age. It is such a scientific age, in fact, that we have diculty in understanding how witch doctors could ever have existed, when nothing that they proposed ever really worked or very little of it did. But even today I meet lots of people who sooner or later get me into a conversa- tion about UFO's, or astrology, or some form of mysticism, expanded consciousness, new types of awareness, ESP, and so forth. And I've concluded that it's not a scientific world. Most people bel... read more: click here Visitors: 14,503 Tagged by its author as: Scientifical Reviews This author also has a Blog Erwin Schrödinger: The Fundamental Idea Of Wave Mechanics. Nobel Lecture. Identification Number: 286

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Preview: Erwin Schrödinger The fundamental idea of wave mechanics Nobel Lecture, December 12, 1933 On passing through an optical instrument, such as a telescope or a camera lens, a ray of light is subjected to a change in direction at each refracting or reflecting surface. The path of the rays can be constructed if we know the two simple laws which govern the changes in direction: the law of refraction which was discovered by Snellius a few hundred years ago, and the law of reflection with which Archimedes was familiar more than 2,000 years ago. As a simple example, Fig. 1 shows a ray A-B which is subjected to refraction at each of the four boundary surfaces of two lenses in accordance with the law of Snellius. Fermat defined the total path of a ray of light from a much more general point of view. In different media, light propagates with different velocities, and the ra... read more: click here Visitors: 11,367 Tagged by its author as: Scientifical Reviews This author also has a Blog

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