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Suppose you find yourself in a strange island inhabited by knights, who always tell the truth, andknaves, who

always lie. You meet three inhabitants: Smith, Jones and Pita. Smith claims that it is false that Pita is a knave. Jones says, "If Pita is a knave then I am a knight". Pita says that Jones is aknave. Can you determine what are Smith, Jones, and Pita? Briefly explain your reasoning.

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