On the island of knights and knaves, you meet three natives, A, B, and C, who address you as follows:
A: At least one of us is a knave.
B: At most two of us are knaves.
What are A, B, and C?
A and B are knights, and C is a knave.
Reasoning: A cannot be a knave because if A were a knave his statement would be true, which is
impossible for a knave. Hence A is a knight, and at least one of the three is a knave. That implies
that at most two of the three are knaves, which means that B’s statement is true. Hence B is a knight.
Since at least one of the three is a knave and both A and B are knights, it follows that C is a knave.
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