A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Evelyn, Ella, William, Avery, and Harper. According to Michael, "Ella is a knave or Harper is a knight". Evelyn stated, "William is a knight and Harper is a knight". "Harper is a knight" - Ella. As William put it, "Ella is a knave". Avery expressed that If Michael is a knight then Michael is a knave. In a statement by Harper: "William is a knave and Ella is a knave". So who is a knight and who is a knave?
Michael is a knight, Evelyn is a knave, Ella is a knave, William is a knight, Avery is a knave, and Harper is a knave.
(1) Michael is a knight
(2) Evelyn is a knave
(3) Ella is a knave
(4) William is a knight
(5) Avery is a knave
(6) Harper is a knave
Assume Michael is a knight. No contradiction is found in their claim that Ella is a knave or Harper is a knight. Assume Ella is a knight. No contradiction is found in their claim that Harper is a knight. Harper cannot be a knight, because this would contradict the claim of their own that William is a knave and Ella is a knave. Harper cannot be a knave, because this would contradict the claim of Michael that Ella is a knave or Harper is a knight. We have exhausted all possibilities for Harper, so let us go back and reconsider Ella. Assume Ella is a knave. No contradiction is found in their false claim that Harper is a knight. Harper cannot be a knight, because this would contradict the false claim of Ella that Harper is a knight. Assume Harper is a knave. No contradiction is found in their false claim that William is a knave and Ella is a knave. Assume William is a knight. No contradiction is found in their claim that Ella is a knave. Evelyn cannot be a knight, because this would contradict the claim of their own that William is a knight and Harper is a knight. Assume Evelyn is a knave. No contradiction is found in their false claim that William is a knight and Harper is a knight. Avery cannot be a knight, because this would contradict the claim of their own that If Michael is a knight then Michael is a knave. Assume Avery is a knave. No contradiction is found in their false claim that If Michael is a knight then Michael is a knave.