Knights and Knaves: Bob, Carol, Niaj, Eve, and Heidi

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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 Bob, Carol, Niaj, Eve, and Heidi. Bob says: "If Niaj is a knight, then Eve is a knight." Carol says: "Heidi is a knave." Niaj says: "I am a knight or Bob is a knight." Heidi says: "I am a knave or Eve is a knight." The others say nothing. 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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