A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emma, Olivia, Jacob, Penelope, Michael, and Mia. Emma expressed that Mia is not a knight. "Emma is not a knave" - Olivia. "Olivia is a knight," Jacob claimed. Penelope stated, "If Emma is a knave then Jacob is a knight". As Michael put it, "Mia is not a knave". Mia noted, "Jacob is a knave and Penelope is a knight". So who is a knight and who is a knave?
Emma is a knight, Olivia is a knight, Jacob is a knight, Penelope is a knight, Michael is a knave, and Mia is a knave.
(1) Emma is a knight
(2) Olivia is a knight
(3) Jacob is a knight
(4) Penelope is a knight
(5) Michael is a knave
(6) Mia is a knave
Assume Emma is a knight. No contradiction is found in their claim that Mia is not a knight. Mia cannot be a knight, because this would contradict the claim of Emma that Mia is not a knight. Assume Mia is a knave. No contradiction is found in their false claim that Jacob is a knave and Penelope is a knight. Assume Jacob is a knight. No contradiction is found in their claim that Olivia is a knight. Assume Olivia is a knight. No contradiction is found in their claim that Emma is not a knave. Assume Penelope is a knight. No contradiction is found in their claim that If Emma is a knave then Jacob is a knight. Michael cannot be a knight, because this would contradict the claim of their own that Mia is not a knave. Assume Michael is a knave. No contradiction is found in their false claim that Mia is not a knave.