Lecture7 Relevance.docx - Relevance A counterexample is a...

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Relevance A counterexample is a possible case that shows that a definition or analysis is incorrect. Some counterexample show that a definition is too narrow . Definition:Something is a triangle just in case it is a closed geometrical figure with three side with same length. Counterexample: two sides equal is also a triangle.--isosceles triangle Too broad: Definition: Something is a square just in case it is a four-sided, closed geometrical figure. Counterexample: rectangle has four sides Both too broad and too narrow : Definition: something is pornographic just in case it includes pictures of naked people. Counterexample: too narrow: the writings of Marquis de Sade are pornographic, but they did not contain any pictures. Too broad: An anatomy book contains pictures of naked people. Relevance: An example must be relevant to be a counterexample to a definition or theory. Ex. Definition: A sister is a female sibling.

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