A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mason, Owen, Chloe, Scarlett, Henry, and Aiden. "Scarlett is a knave or Henry is a knave," Mason mentioned. Owen asserted: "Chloe is a knight and Mason is a knight". In a statement by Chloe: "Henry is a knight and Owen is a knight". Scarlett asserted: "Owen is a knight or Mason is a knight". Henry said, "Aiden is a knight." In a statement by Aiden: "If Owen is a knave then Scarlett is a knave". So who is a knight and who is a knave?
Mason is a knight, Owen is a knave, Chloe is a knave, Scarlett is a knight, Henry is a knave, and Aiden is a knave.
(1) Mason is a knight
(2) Owen is a knave
(3) Chloe is a knave
(4) Scarlett is a knight
(5) Henry is a knave
(6) Aiden is a knave
Assume Mason is a knight. No contradiction is found in their claim that Scarlett is a knave or Henry is a knave. Assume Scarlett is a knight. No contradiction is found in their claim that Owen is a knight or Mason is a knight. Assume Owen is a knight. No contradiction is found in their claim that Chloe is a knight and Mason is a knight. Assume Chloe is a knight. No contradiction is found in their claim that Henry is a knight and Owen is a knight. Henry cannot be a knight, because this would contradict the claim of Mason that Scarlett is a knave or Henry is a knave. Henry cannot be a knave, because this would contradict the claim of Chloe that Henry is a knight and Owen is a knight. We have exhausted all possibilities for Henry, so let us go back and reconsider Chloe. Chloe cannot be a knave, because this would contradict the claim of Owen that Chloe is a knight and Mason is a knight. We have exhausted all possibilities for Chloe, so let us go back and reconsider Owen. Assume Owen is a knave. No contradiction is found in their false claim that Chloe is a knight and Mason is a knight. Chloe cannot be a knight, because this would contradict the false claim of Owen that Chloe is a knight and Mason is a knight. Assume Chloe is a knave. No contradiction is found in their false claim that Henry is a knight and Owen is a knight. Henry cannot be a knight, because this would contradict the claim of Mason that Scarlett is a knave or Henry is a knave. Assume Henry is a knave. No contradiction is found in their false claim that Aiden is a knight. Aiden cannot be a knight, because this would contradict the false claim of Henry that Aiden is a knight. Assume Aiden is a knave. No contradiction is found in their false claim that If Owen is a knave then Scarlett is a knave.