A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ava, Charlotte, Ella, Jackson, Owen, and Amelia. Ava stated, "Charlotte is a knave and Owen is a knave". "Ava is not a knave," Charlotte claimed. Ella said, "Amelia is a knave if and only if Jackson is a knave." According to Jackson, "If Charlotte is a knight then Owen is a knave". Owen expressed that Charlotte is a knave if and only if Ava is a knave. Amelia expressed that Charlotte is not a knight. So who is a knight and who is a knave?
Ava is a knave, Charlotte is a knave, Ella is a knight, Jackson is a knight, Owen is a knight, and Amelia is a knight.
(1) Ava is a knave
(2) Charlotte is a knave
(3) Ella is a knight
(4) Jackson is a knight
(5) Owen is a knight
(6) Amelia is a knight
Assume Ava is a knight. No contradiction is found in their claim that Charlotte is a knave and Owen is a knave. Charlotte cannot be a knight, because this would contradict the claim of Ava that Charlotte is a knave and Owen is a knave. Charlotte cannot be a knave, because this would contradict the false claim of their own that Ava is not a knave. We have exhausted all possibilities for Charlotte, so let us go back and reconsider Ava. Assume Ava is a knave. No contradiction is found in their false claim that Charlotte is a knave and Owen is a knave. Charlotte cannot be a knight, because this would contradict the claim of their own that Ava is not a knave. Assume Charlotte is a knave. No contradiction is found in their false claim that Ava is not a knave. Assume Owen is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Ava is a knave. Assume Ella is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Jackson is a knave. Assume Amelia is a knight. No contradiction is found in their claim that Charlotte is not a knight. Assume Jackson is a knight. No contradiction is found in their claim that If Charlotte is a knight then Owen is a knave.