Inventor's Paradox
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http://www.cuttheknot.org/Generalization/epairs.shtml  


Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny  
A page that looks into different ways a specific statement may be related to a more general one. Pairs of statements in which: one is a clear generalization of another, whereas in fact the two are equivalent; one is a clear generalization of another and the more general statement is easier to prove; a more general is directly implied by a more specific one. Problems that allow a meaningful generalization; problems that allow more than one generalization; a few examples where attempts to generalize lead one astray.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Problems/Puzzles 
Math Topics:  Logic/Foundations 
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