A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mia, Zoey, Mason, Emma, Abigail, and Samuel. As Mia put it, "Zoey is not a knave". "Abigail is not a knight" - Zoey. Mason expressed that Samuel is a knave and Mason is a knight. Emma asserted: "Abigail is a knave or Samuel is a knight". "Mia is a knave or Emma is a knight," Abigail declared. As Samuel put it, "If Mia is a knight then Emma is a knave". So who is a knight and who is a knave?
Mia is a knave, Zoey is a knave, Mason is a knave, Emma is a knight, Abigail is a knight, and Samuel is a knight.
(1) Mia is a knave
(2) Zoey is a knave
(3) Mason is a knave
(4) Emma is a knight
(5) Abigail is a knight
(6) Samuel is a knight
Assume Mia is a knight. No contradiction is found in their claim that Zoey is not a knave. Assume Zoey is a knight. No contradiction is found in their claim that Abigail is not a knight. Abigail cannot be a knight, because this would contradict the claim of Zoey that Abigail is not a knight. Assume Abigail is a knave. No contradiction is found in their false claim that Mia is a knave or Emma is a knight. Emma cannot be a knight, because this would contradict the false claim of Abigail that Mia is a knave or Emma is a knight. Emma cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave or Samuel is a knight. We have exhausted all possibilities for Emma and Abigail, so let us go back and reconsider Zoey. Zoey cannot be a knave, because this would contradict the claim of Mia that Zoey is not a knave. We have exhausted all possibilities for Zoey, so let us go back and reconsider Mia. Assume Mia is a knave. No contradiction is found in their false claim that Zoey is not a knave. Zoey cannot be a knight, because this would contradict the false claim of Mia that Zoey is not a knave. Assume Zoey is a knave. No contradiction is found in their false claim that Abigail is not a knight. Assume Abigail is a knight. No contradiction is found in their claim that Mia is a knave or Emma is a knight. Assume Emma is a knight. No contradiction is found in their claim that Abigail is a knave or Samuel is a knight. Assume Samuel is a knight. No contradiction is found in their claim that If Mia is a knight then Emma is a knave. Mason cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Mason is a knight. Assume Mason is a knave. No contradiction is found in their false claim that Samuel is a knave and Mason is a knight.