Knights and Knaves Problems

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1.   Jill says (of herself and Jack), "At least one of us is a knave."  Is she a knight or a knave?  What about Jack?

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2.   Jack says, "I am a knave, but Jill isn't."  Is Jill a knave?

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3.   Jill says, "I am a knave and so is Jack."  Is Jack a knave?

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4.   On the island of knights and knaves, you meet three people, Jack, Jill, and Jim.  You ask Jack whether he is a knave, but can't make out his response.  You ask Jill what Jack said, and she replies, "Jack said that he is a knave."  Then Jim says, "Don't believe Jill.  She's lying."  Which of these people are knaves?

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