A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jackson, Oliver, Alexander, Victoria, Aiden, and Penelope. Jackson noted, "Victoria is not a knave". Oliver commented, "Jackson is not a knight". Alexander said, "Penelope is a knave." "Aiden is a knight," Victoria declared. Aiden was heard saying, "Victoria is a knave or Aiden is a knight". As Penelope put it, "Oliver is a knave if and only if Oliver is a knight". So who is a knight and who is a knave?
Jackson is a knight, Oliver is a knave, Alexander is a knight, Victoria is a knight, Aiden is a knight, and Penelope is a knave.
(1) Jackson is a knight
(2) Oliver is a knave
(3) Alexander is a knight
(4) Victoria is a knight
(5) Aiden is a knight
(6) Penelope is a knave
Assume Jackson is a knight. No contradiction is found in their claim that Victoria is not a knave. Assume Victoria is a knight. No contradiction is found in their claim that Aiden is a knight. Assume Aiden is a knight. No contradiction is found in their claim that Victoria is a knave or Aiden is a knight. Oliver cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight. Assume Oliver is a knave. No contradiction is found in their false claim that Jackson is not a knight. Assume Alexander is a knight. No contradiction is found in their claim that Penelope is a knave. Penelope cannot be a knight, because this would contradict the claim of Alexander that Penelope is a knave. Assume Penelope is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.