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Inventor's Paradox

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Visit this site: http://www.cut-the-knot.org/Generalization/epairs.shtml

Author:Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Description: 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 (9-12), College
Languages: English
Resource Types: Problems/Puzzles
Math Topics: Logic/Foundations

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