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A false negative is a word that begins with the letters that form a prefix which negates a word, for which the prefix letters may be removed to yield another word, but where the prefix is not actually a prefix and the words are actually unrelated. This is a specific puzzle type in the National Puzzlers' League (where it is generalized to other types of falseness) but the concept is used elsewhere as well. See also false comparatives.
MIT Mystery Hunt 2014 Opposites Are Not Downbeats