Impossible Problems by Don Allen Impossible problems are everywhere. They are in your life, your friends’ lives, your work, your family, your dreams, your future, and your expectations. No matter what you do, no matter what you try, you can’t avoid them. Impossible problems come in many flavors. · Problems you can’t solve · Problems than change when you try to solve them · Problems solved on the basis of past knowledge · Problems involving a change of scale · Problems about systems exhibiting memory In this note, we take up the nature of impossible problems. We will illustrate some, but naturally we cannot solve them. We’ll consider these topics, though the last one is problematic. · Definitions · Categories · Sources · Creating · Solutions But we should begin with the nice problems – those that actually have a solution, and not only that a unique so
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