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- The question, 'Are you a liar' does not work because, if the canibal always lies, he will answer NO because he will be lying. If the canibal always tells the truth, then his answer will also be NO because he will be telling the truth that he is not a liar. Therefore it will be impossible to distinguish the liar from the one who always tells the truth based on that question.
- Any tautology question would work, for instance, the explorer could ask the canibals, 'Are you a canibal?' The one who always lies will answer by saying NO and the one who always tells the truth will answer by saying YES.