QED Night
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Knights and Knaves: Sybil, Judy, Peggy, and Carol

Verified— unique solution
knights knaves
On an island, every inhabitant is either a knight, who always tells the truth, or a knave, who always lies. You meet Sybil, Judy, Peggy, and Carol. Sybil says: "Judy is a knave and Carol is a knave." Judy says: "Peggy is a knave." Peggy says: "I am the same type as Carol." Carol says: "Judy and Sybil are of the same type." Who is a knight and who is a knave?

Hints

Hint 1
Hint 2
Hint 3

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 4 inhabitants are knaves? Answer with the number.

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