A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jackson, Sophia, Charlotte, Alexander, Aiden, and Aurora. "Sophia is a knave if and only if Alexander is a knight," Jackson mentioned. According to Sophia, "If Aurora is a knave then Alexander is a knave". Charlotte stated, "Alexander is a knave and Jackson is a knave". "If Charlotte is a knave then Aiden is a knight," Alexander claimed. "Aurora is a knave if and only if Charlotte is a knave," Aiden declared. Aurora was heard saying, "Jackson is a knight if and only if Charlotte is a knave". So who is a knight and who is a knave?
Jackson is a knight, Sophia is a knight, Charlotte is a knave, Alexander is a knave, Aiden is a knave, and Aurora is a knight.
(1) Jackson is a knight
(2) Sophia is a knight
(3) Charlotte is a knave
(4) Alexander is a knave
(5) Aiden is a knave
(6) Aurora is a knight
Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Alexander is a knight. Assume Sophia is a knight. No contradiction is found in their claim that If Aurora is a knave then Alexander is a knave. Assume Aurora is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Charlotte is a knave. Charlotte cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Jackson is a knave. Assume Charlotte is a knave. No contradiction is found in their false claim that Alexander is a knave and Jackson is a knave. Alexander cannot be a knight, because this would contradict the claim of Jackson that Sophia is a knave if and only if Alexander is a knight. Assume Alexander is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Aiden is a knight. Aiden cannot be a knight, because this would contradict the false claim of Alexander that If Charlotte is a knave then Aiden is a knight. Assume Aiden is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Charlotte is a knave.