QED Night
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Knights and Knaves: Ivan, Bob, Carol, Mallory, and Judy

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 Ivan, Bob, Carol, Mallory, and Judy. Ivan says: "Judy is a knave." Bob says: "Carol is a knave." Carol says: "Mallory is a knave or Bob is a knave." Mallory says: "Ivan is a knight and Judy is a knight." Judy says: "Bob and Mallory are of different types." 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 5 inhabitants are knaves? Answer with the number.

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