Abstract

SummaryPuzzles about knights, who only make true statements, and knaves, who only make false statements, have long been a mainstay of classical logic. They are valuable not just as recreational puzzles, but as a pedagogical device for exploring fundamental issues in logic. However, the possibilities for puzzles based on nonclassical logics have been mostly unexplored. In this paper we consider knight/knave dialogs based on fuzzy logic, in which a truth value can be any real number between zero and one inclusive. Following the example of classical logic, our purpose is both recreational and educational.

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