The only way to keep alive is to keep moving. It seems to be in the nature of man to push questions to the brink of impossibility and beyond. An error made in the problem solution for today can generate the impossible problem having no solution for tomorrow. Induction and analogy, though important, often prove to be the lazy man’s route to problem solving – particularly when they are imprecisely or inaccurately applied. While induction is a valid mathematical technique, analogy merely provides heuristics and example to help with problem understanding. One good marker of an impossible problem is this: The greater the number of solutions offered, the more difficult or impossible it must be. -------------------------------- Confusion Theory. Yes, there is a confusion theory. It purports many things. Included are studies that suggest confusion may enhance the learning of complex topics. Another is that they g...
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