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  1. Three logicians, Carroll, Kurt and Kleene, are captured by the evil villainous mastermind, Moriarty. They are put in adjacent cells each of which contains a number of coins. All of them can count the number of coins in their own cells, but not in anyone else’s. They are told that each cell has at least one coin, and at most nine coins, and no two cells have the same number of coins. The logicians must use their skills of deductive reasoning to escape their cells. The three of them will ask Moriarty a single (yes or no) question each, which he will answer truthfully ‘Yes’ or ‘No’. Every one hea
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