A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jack, Daniel, Chloe, Aurora, Jacob, and James. Jack expressed that Aurora is a knave or Chloe is a knave. Daniel said, "Jack is not a knave." Chloe noted, "Jacob is a knight and Aurora is a knight". Aurora noted, "If James is a knave then Daniel is a knight". Jacob expressed that James is a knave or Daniel is a knave. James noted, "Jack is a knight or Jacob is a knave". So who is a knight and who is a knave?
Jack is a knight, Daniel is a knight, Chloe is a knave, Aurora is a knight, Jacob is a knave, and James is a knight.
(1) Jack is a knight
(2) Daniel is a knight
(3) Chloe is a knave
(4) Aurora is a knight
(5) Jacob is a knave
(6) James is a knight
Assume Jack is a knight. No contradiction is found in their claim that Aurora is a knave or Chloe is a knave. Assume Aurora is a knight. No contradiction is found in their claim that If James is a knave then Daniel is a knight. Assume James is a knight. No contradiction is found in their claim that Jack is a knight or Jacob is a knave. Assume Jacob is a knight. No contradiction is found in their claim that James is a knave or Daniel is a knave. Daniel cannot be a knight, because this would contradict the claim of Jacob that James is a knave or Daniel is a knave. Daniel cannot be a knave, because this would contradict the false claim of their own that Jack is not a knave. We have exhausted all possibilities for Daniel, so let us go back and reconsider Jacob. Assume Jacob is a knave. No contradiction is found in their false claim that James is a knave or Daniel is a knave. Assume Daniel is a knight. No contradiction is found in their claim that Jack is not a knave. Chloe cannot be a knight, because this would contradict the claim of Jack that Aurora is a knave or Chloe is a knave. Assume Chloe is a knave. No contradiction is found in their false claim that Jacob is a knight and Aurora is a knight.