Knights and Knaves: Heidi, Sybil, Peggy, Olivia, and Bob

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knights knaves

On an island, every inhabitant is either a knight, who always tells the truth, or a knave, who always lies. You meet Heidi, Sybil, Peggy, Olivia, and Bob. Heidi says: "Peggy and Bob are of different types." Sybil says: "Olivia is a knight." Peggy says: "If Heidi is a knave, then I am a knight." Olivia says: "Bob is a knight and Heidi is a knight." Bob says: "Olivia is a knight or Heidi is a knight." Who is a knight and who is a knave?

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Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

Once you've worked out who is who: how many of the 5 inhabitants are knaves? Answer with the number.

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