Knights and Knaves
Variety of storylike logic puzzle of apparent antinomy
Variety of storylike logic puzzle of apparent antinomy
Knights and Knaves is a type of logic puzzle where some characters can only answer questions truthfully, and others only falsely. The name was coined by Raymond Smullyan in his 1978 work What Is the Name of This Book? The puzzles are set on a fictional island where all inhabitants are either knights, who always tell the truth, or knaves, who always lie. The puzzles involve a visitor to the island who meets small groups of inhabitants. Usually the aim is for the visitor to deduce the inhabitants' type from their statements, but some puzzles of this type ask for other facts to be deduced. The puzzle may also be to determine a yes–no question which the visitor can ask in order to discover a particular piece of information. One of Smullyan's examples of this type of puzzle involves three inhabitants referred to as A, B and C. The visitor asks A what type they are, but does not hear A's answer. B then says "A said that they are a knave" and C says "Don't believe B; they are lying!" To solve...
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