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Abstract

"Longer than" is a binary relation R on the set of words with the property that whenever a R b and b R c, we always have a R c. Such relations are called transitive and examples abound: "shorter than", "precedes lexicographically", "scores higher in Scrabble than", etc." Transitive relations often impose a kind of "can you top this" attitude among logologists: "what is the longest word you know?" In this article we wish to avoid transitive relations, and instead play word games that have no "best" answer.

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