A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Luke. "Owen is a knight or Luke is a knave" - Owen. Luke stated, "If Luke is a knight then Owen is a knave". So who is a knight and who is a knave?

Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight or Luke is a knave. Luke cannot be a knight, because this would contradict the claim of their own that If Luke is a knight then Owen is a knave. Luke cannot be a knave, because this would contradict the false claim of their own that If Luke is a knight then Owen is a knave. We have exhausted all possibilities for Luke, so let us go back and reconsider Owen. Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight or Luke is a knave. Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Owen is a knave.

(1) Owen is a knave
(2) Luke is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lucas, and David. Lucas remarked, "David is a knave or David is a knight". David expressed that Lucas is not a knight. So who is a knight and who is a knave?

Lucas is a knight, and David is a knave.

Let's think step by step, by considering whether each person is lying and if that leads to contradiction.

Assume Lucas is a knight. No contradiction is found in their claim that David is a knave or David is a knight. David cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight. Assume David is a knave. No contradiction is found in their false claim that Lucas is not a knight.

(('or', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))

(1) Lucas is a knight
(2) David is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Sebastian. Owen commented, "Sebastian is a knight or Sebastian is a knave". Sebastian expressed that Owen is a knave or Owen is a knave. So who is a knight and who is a knave?

Owen is a knight, and Sebastian is a knave.

Assume Owen is a knight. No contradiction is found in their claim that Sebastian is a knight or Sebastian is a knave. Sebastian cannot be a knight, because this would contradict the claim of their own that Owen is a knave or Owen is a knave. Assume Sebastian is a knave. No contradiction is found in their false claim that Owen is a knave or Owen is a knave.

(1) Owen is a knight
(2) Sebastian is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Henry. Zoey noted, "Zoey is a knight if and only if Henry is a knight". Henry said that Henry is a knight if and only if Zoey is a knight. So who is a knight and who is a knave?

Zoey is a knight, and Henry is a knight.

Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Henry is a knight. Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight if and only if Zoey is a knight.

(1) Zoey is a knight
(2) Henry is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and Benjamin. Emily stated, "Benjamin is not a knight". Benjamin noted, "Benjamin is a knight if and only if Emily is a knave". So who is a knight and who is a knave?

Emily is a knave, and Benjamin is a knight.

Assume Emily is a knight. No contradiction is found in their claim that Benjamin is not a knight. Benjamin cannot be a knight, because this would contradict the claim of Emily that Benjamin is not a knight. Benjamin cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight if and only if Emily is a knave. We have exhausted all possibilities for Benjamin, so let us go back and reconsider Emily. Assume Emily is a knave. No contradiction is found in their false claim that Benjamin is not a knight. Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Emily is a knave.

(1) Emily is a knave
(2) Benjamin is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lily, and Logan. Lily told you that Logan is a knave or Lily is a knight. "Lily is a knave if and only if Logan is a knight," Logan claimed. So who is a knight and who is a knave?

Assume Lily is a knight. No contradiction is found in their claim that Logan is a knave or Lily is a knight. Logan cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Logan is a knight. Logan cannot be a knave, because this would contradict the false claim of their own that Lily is a knave if and only if Logan is a knight. We have exhausted all possibilities for Logan, so let us go back and reconsider Lily. Assume Lily is a knave. No contradiction is found in their false claim that Logan is a knave or Lily is a knight. Assume Logan is a knight. No contradiction is found in their claim that Lily is a knave if and only if Logan is a knight.

(1) Lily is a knave
(2) Logan is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Isabella. Amelia told you that Isabella is a knave if and only if Isabella is a knight. Isabella stated, "Amelia is a knight and Isabella is a knight". So who is a knight and who is a knave?

Amelia is a knave, and Isabella is a knave.

Amelia cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Isabella is a knight. Assume Amelia is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Isabella is a knight. Isabella cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Isabella is a knight. Assume Isabella is a knave. No contradiction is found in their false claim that Amelia is a knight and Isabella is a knight.

(1) Amelia is a knave
(2) Isabella is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Sophia. Charlotte commented, "Sophia is a knight if and only if Charlotte is a knight". According to Sophia, "Charlotte is a knave if and only if Sophia is a knight". So who is a knight and who is a knave?

Charlotte is a knave, and Sophia is a knight.

Assume Charlotte is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Charlotte is a knight. Sophia cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Sophia is a knight. Sophia cannot be a knave, because this would contradict the claim of Charlotte that Sophia is a knight if and only if Charlotte is a knight. We have exhausted all possibilities for Sophia, so let us go back and reconsider Charlotte. Assume Charlotte is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Charlotte is a knight. Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Sophia is a knight.

(1) Charlotte is a knave
(2) Sophia is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lucas, and James. Lucas asserted: "Lucas is a knight if and only if James is a knight". "If James is a knight then Lucas is a knave," James declared. So who is a knight and who is a knave?

Lucas is a knave, and James is a knight.

Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if James is a knight. James cannot be a knight, because this would contradict the claim of their own that If James is a knight then Lucas is a knave. James cannot be a knave, because this would contradict the claim of Lucas that Lucas is a knight if and only if James is a knight. We have exhausted all possibilities for James, so let us go back and reconsider Lucas. Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if James is a knight. Assume James is a knight. No contradiction is found in their claim that If James is a knight then Lucas is a knave.

(1) Lucas is a knave
(2) James is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Luke, and Samuel. Luke expressed that Samuel is a knave if and only if Luke is a knight. Samuel told you that Samuel is a knight if and only if Luke is a knave. So who is a knight and who is a knave?

Assume Luke is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Luke is a knight. Samuel cannot be a knight, because this would contradict the claim of Luke that Samuel is a knave if and only if Luke is a knight. Samuel cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight if and only if Luke is a knave. We have exhausted all possibilities for Samuel, so let us go back and reconsider Luke. Assume Luke is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Luke is a knight. Samuel cannot be a knight, because this would contradict the false claim of Luke that Samuel is a knave if and only if Luke is a knight. Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Luke is a knave.

(1) Luke is a knave
(2) Samuel is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sofia, and James. "James is a knight if and only if James is a knight," Sofia claimed. James asserted: "Sofia is not a knight". So who is a knight and who is a knave?

Sofia is a knight, and James is a knave.

Assume Sofia is a knight. No contradiction is found in their claim that James is a knight if and only if James is a knight. James cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight. Assume James is a knave. No contradiction is found in their false claim that Sofia is not a knight.

(('<=>', ('telling-truth', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))

(1) Sofia is a knight
(2) James is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Elizabeth. Grace stated, "Elizabeth is not a knight". "Grace is a knave and Grace is a knight," Elizabeth claimed. So who is a knight and who is a knave?

Grace is a knight, and Elizabeth is a knave.

Assume Grace is a knight. No contradiction is found in their claim that Elizabeth is not a knight. Elizabeth cannot be a knight, because this would contradict the claim of Grace that Elizabeth is not a knight. Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.

(('not', ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0)))

(1) Grace is a knight
(2) Elizabeth is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Abigail. Scarlett noted, "Abigail is a knave". According to Abigail, "Scarlett is a knave or Scarlett is a knight". So who is a knight and who is a knave?

Scarlett is a knave, and Abigail is a knight.

Assume Scarlett is a knight. No contradiction is found in their claim that Abigail is a knave. Abigail cannot be a knight, because this would contradict the claim of Scarlett that Abigail is a knave. Abigail cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knave or Scarlett is a knight. We have exhausted all possibilities for Abigail, so let us go back and reconsider Scarlett. Assume Scarlett is a knave. No contradiction is found in their false claim that Abigail is a knave. Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is a knave or Scarlett is a knight.

(1) Scarlett is a knave
(2) Abigail is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Evelyn. "Evelyn is a knave or Evelyn is a knight" - Ella. Evelyn asserted: "Ella is not a knave". So who is a knight and who is a knave?

Ella is a knight, and Evelyn is a knight.

Assume Ella is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight. Assume Evelyn is a knight. No contradiction is found in their claim that Ella is not a knave.

(1) Ella is a knight
(2) Evelyn is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Aria. Owen expressed that Aria is a knave if and only if Aria is a knave. Aria stated, "Owen is a knight or Owen is a knave". So who is a knight and who is a knave?

Assume Owen is a knight. No contradiction is found in their claim that Aria is a knave if and only if Aria is a knave. Assume Aria is a knight. No contradiction is found in their claim that Owen is a knight or Owen is a knave.

(1) Owen is a knight
(2) Aria is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Isabella. Olivia remarked, "Isabella is a knave or Isabella is a knave". Isabella said that Olivia is a knight or Isabella is a knight. So who is a knight and who is a knave?

Olivia is a knave, and Isabella is a knight.

Assume Olivia is a knight. No contradiction is found in their claim that Isabella is a knave or Isabella is a knave. Isabella cannot be a knight, because this would contradict the claim of Olivia that Isabella is a knave or Isabella is a knave. Isabella cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight or Isabella is a knight. We have exhausted all possibilities for Isabella, so let us go back and reconsider Olivia. Assume Olivia is a knave. No contradiction is found in their false claim that Isabella is a knave or Isabella is a knave. Assume Isabella is a knight. No contradiction is found in their claim that Olivia is a knight or Isabella is a knight.

(1) Olivia is a knave
(2) Isabella is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aria, and Elizabeth. Aria remarked, "Elizabeth is not a knight". Elizabeth commented, "Aria is a knave if and only if Elizabeth is a knight". So who is a knight and who is a knave?

Aria is a knave, and Elizabeth is a knight.

Assume Aria is a knight. No contradiction is found in their claim that Elizabeth is not a knight. Elizabeth cannot be a knight, because this would contradict the claim of Aria that Elizabeth is not a knight. Elizabeth cannot be a knave, because this would contradict the false claim of their own that Aria is a knave if and only if Elizabeth is a knight. We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Aria. Assume Aria is a knave. No contradiction is found in their false claim that Elizabeth is not a knight. Assume Elizabeth is a knight. No contradiction is found in their claim that Aria is a knave if and only if Elizabeth is a knight.

(1) Aria is a knave
(2) Elizabeth is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Olivia. Ethan told you that Olivia is a knave if and only if Ethan is a knight. "Ethan is a knave or Olivia is a knight," Olivia claimed. So who is a knight and who is a knave?

Ethan is a knight, and Olivia is a knave.

Assume Ethan is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Ethan is a knight. Olivia cannot be a knight, because this would contradict the claim of Ethan that Olivia is a knave if and only if Ethan is a knight. Assume Olivia is a knave. No contradiction is found in their false claim that Ethan is a knave or Olivia is a knight.

(1) Ethan is a knight
(2) Olivia is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Zoey. "If Zoey is a knight then Zoey is a knight," Isabella claimed. Zoey noted, "Isabella is a knave and Zoey is a knight". So who is a knight and who is a knave?

Isabella is a knight, and Zoey is a knave.

Assume Isabella is a knight. No contradiction is found in their claim that If Zoey is a knight then Zoey is a knight. Zoey cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Zoey is a knight. Assume Zoey is a knave. No contradiction is found in their false claim that Isabella is a knave and Zoey is a knight.

(('->', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 1)))

(1) Isabella is a knight
(2) Zoey is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Mia. As David put it, "Mia is a knave or David is a knight". Mia told you that David is a knight and David is a knight. So who is a knight and who is a knave?

Assume David is a knight. No contradiction is found in their claim that Mia is a knave or David is a knight. Assume Mia is a knight. No contradiction is found in their claim that David is a knight and David is a knight.

(('or', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 0)))

(1) David is a knight
(2) Mia is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Victoria, and Jackson. Victoria expressed that Jackson is a knight if and only if Jackson is a knight. Jackson expressed that Victoria is a knight or Victoria is a knave. So who is a knight and who is a knave?

Victoria is a knight, and Jackson is a knight.

Assume Victoria is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Jackson is a knight. Assume Jackson is a knight. No contradiction is found in their claim that Victoria is a knight or Victoria is a knave.

(1) Victoria is a knight
(2) Jackson is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ava, and Harper. Ava noted, "Harper is a knight if and only if Ava is a knight". According to Harper, "Ava is a knave if and only if Harper is a knight". So who is a knight and who is a knave?

Assume Ava is a knight. No contradiction is found in their claim that Harper is a knight if and only if Ava is a knight. Harper cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Harper is a knight. Harper cannot be a knave, because this would contradict the claim of Ava that Harper is a knight if and only if Ava is a knight. We have exhausted all possibilities for Harper, so let us go back and reconsider Ava. Assume Ava is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Ava is a knight. Assume Harper is a knight. No contradiction is found in their claim that Ava is a knave if and only if Harper is a knight.

(1) Ava is a knave
(2) Harper is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Aria. Ella remarked, "Aria is a knave if and only if Aria is a knave". Aria asserted: "Ella is a knight and Ella is a knave". So who is a knight and who is a knave?

Assume Ella is a knight. No contradiction is found in their claim that Aria is a knave if and only if Aria is a knave. Aria cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave. Assume Aria is a knave. No contradiction is found in their false claim that Ella is a knight and Ella is a knave.

(1) Ella is a knight
(2) Aria is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Henry. As William put it, "William is a knight if and only if William is a knight". Henry was heard saying, "If William is a knave then William is a knight". So who is a knight and who is a knave?

William is a knight, and Henry is a knight.

Assume William is a knight. No contradiction is found in their claim that William is a knight if and only if William is a knight. Assume Henry is a knight. No contradiction is found in their claim that If William is a knave then William is a knight.

(1) William is a knight
(2) Henry is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Ava. As William put it, "Ava is a knave or Ava is a knight". "If William is a knight then William is a knight" - Ava. So who is a knight and who is a knave?

William is a knight, and Ava is a knight.

Assume William is a knight. No contradiction is found in their claim that Ava is a knave or Ava is a knight. Assume Ava is a knight. No contradiction is found in their claim that If William is a knight then William is a knight.

(1) William is a knight
(2) Ava is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Jacob. Oliver commented, "Oliver is a knight and Jacob is a knight". Jacob remarked, "Oliver is a knight if and only if Jacob is a knight". So who is a knight and who is a knave?

Oliver is a knight, and Jacob is a knight.

Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight and Jacob is a knight. Assume Jacob is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Jacob is a knight.

(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))

(1) Oliver is a knight
(2) Jacob is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aria, and Aurora. "Aurora is a knave" - Aria. "Aria is a knave and Aria is a knight," Aurora declared. So who is a knight and who is a knave?

Aria is a knight, and Aurora is a knave.

Assume Aria is a knight. No contradiction is found in their claim that Aurora is a knave. Aurora cannot be a knight, because this would contradict the claim of Aria that Aurora is a knave. Assume Aurora is a knave. No contradiction is found in their false claim that Aria is a knave and Aria is a knight.

(1) Aria is a knight
(2) Aurora is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Evelyn. Oliver stated, "If Oliver is a knight then Evelyn is a knave". "Oliver is a knight and Evelyn is a knight" - Evelyn. So who is a knight and who is a knave?

Oliver is a knight, and Evelyn is a knave.

Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Evelyn is a knave. Evelyn cannot be a knight, because this would contradict the claim of Oliver that If Oliver is a knight then Evelyn is a knave. Assume Evelyn is a knave. No contradiction is found in their false claim that Oliver is a knight and Evelyn is a knight.

(('->', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))

(1) Oliver is a knight
(2) Evelyn is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sofia, and Evelyn. "Evelyn is a knight or Evelyn is a knight" - Sofia. In a statement by Evelyn: "Evelyn is a knight and Sofia is a knave". So who is a knight and who is a knave?

Sofia is a knave, and Evelyn is a knave.

Assume Sofia is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knight. Evelyn cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Sofia is a knave. Evelyn cannot be a knave, because this would contradict the claim of Sofia that Evelyn is a knight or Evelyn is a knight. We have exhausted all possibilities for Evelyn, so let us go back and reconsider Sofia. Assume Sofia is a knave. No contradiction is found in their false claim that Evelyn is a knight or Evelyn is a knight. Evelyn cannot be a knight, because this would contradict the false claim of Sofia that Evelyn is a knight or Evelyn is a knight. Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight and Sofia is a knave.

(('or', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)))

(1) Sofia is a knave
(2) Evelyn is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jackson, and Emma. In a statement by Jackson: "Jackson is a knight if and only if Emma is a knight". "Emma is a knight if and only if Jackson is a knave" - Emma. So who is a knight and who is a knave?

Jackson is a knave, and Emma is a knight.

Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Emma is a knight. Emma cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Jackson is a knave. Emma cannot be a knave, because this would contradict the claim of Jackson that Jackson is a knight if and only if Emma is a knight. We have exhausted all possibilities for Emma, so let us go back and reconsider Jackson. Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Emma is a knight. Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight if and only if Jackson is a knave.

(1) Jackson is a knave
(2) Emma is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Logan, and Charlotte. As Logan put it, "Charlotte is a knave if and only if Logan is a knight". Charlotte noted, "If Logan is a knight then Logan is a knave". So who is a knight and who is a knave?

Logan is a knight, and Charlotte is a knave.

Assume Logan is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Logan is a knight. Charlotte cannot be a knight, because this would contradict the claim of Logan that Charlotte is a knave if and only if Logan is a knight. Assume Charlotte is a knave. No contradiction is found in their false claim that If Logan is a knight then Logan is a knave.

(1) Logan is a knight
(2) Charlotte is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Henry. "If Henry is a knave then Harper is a knight" - Harper. Henry said, "Harper is a knave if and only if Harper is a knave." So who is a knight and who is a knave?

Harper is a knight, and Henry is a knight.

Assume Harper is a knight. No contradiction is found in their claim that If Henry is a knave then Harper is a knight. Assume Henry is a knight. No contradiction is found in their claim that Harper is a knave if and only if Harper is a knave.

(1) Harper is a knight
(2) Henry is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emma, and Evelyn. Emma stated, "Evelyn is a knight if and only if Evelyn is a knave". Evelyn commented, "If Emma is a knave then Emma is a knight". So who is a knight and who is a knave?

Emma cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Evelyn is a knave. Assume Emma is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave. Evelyn cannot be a knight, because this would contradict the claim of their own that If Emma is a knave then Emma is a knight. Assume Evelyn is a knave. No contradiction is found in their false claim that If Emma is a knave then Emma is a knight.

(1) Emma is a knave
(2) Evelyn is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Ethan. Chloe said that Ethan is a knight or Ethan is a knight. In Ethan's words: "Chloe is a knave and Ethan is a knight". So who is a knight and who is a knave?

Assume Chloe is a knight. No contradiction is found in their claim that Ethan is a knight or Ethan is a knight. Ethan cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Ethan is a knight. Ethan cannot be a knave, because this would contradict the claim of Chloe that Ethan is a knight or Ethan is a knight. We have exhausted all possibilities for Ethan, so let us go back and reconsider Chloe. Assume Chloe is a knave. No contradiction is found in their false claim that Ethan is a knight or Ethan is a knight. Ethan cannot be a knight, because this would contradict the false claim of Chloe that Ethan is a knight or Ethan is a knight. Assume Ethan is a knave. No contradiction is found in their false claim that Chloe is a knave and Ethan is a knight.

(('or', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 1)))

(1) Chloe is a knave
(2) Ethan is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Michael. Elizabeth told you that Michael is a knave and Michael is a knight. As Michael put it, "Elizabeth is not a knight". So who is a knight and who is a knave?

Elizabeth is a knave, and Michael is a knight.

Elizabeth cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Michael is a knight. Assume Elizabeth is a knave. No contradiction is found in their false claim that Michael is a knave and Michael is a knight. Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is not a knight.

(('and', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))

(1) Elizabeth is a knave
(2) Michael is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Grace. Chloe was heard saying, "Chloe is a knight and Grace is a knave". "Chloe is a knight or Chloe is a knight" - Grace. So who is a knight and who is a knave?

Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight and Grace is a knave. Grace cannot be a knight, because this would contradict the claim of Chloe that Chloe is a knight and Grace is a knave. Grace cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight or Chloe is a knight. We have exhausted all possibilities for Grace, so let us go back and reconsider Chloe. Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight and Grace is a knave. Grace cannot be a knight, because this would contradict the claim of their own that Chloe is a knight or Chloe is a knight. Assume Grace is a knave. No contradiction is found in their false claim that Chloe is a knight or Chloe is a knight.

(('and', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 0)))

(1) Chloe is a knave
(2) Grace is a knave


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Logan, and Emily. Logan expressed that Logan is a knight or Emily is a knave. Emily remarked, "Logan is a knave if and only if Emily is a knight". So who is a knight and who is a knave?

Logan is a knave, and Emily is a knight.

Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight or Emily is a knave. Emily cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Emily is a knight. Emily cannot be a knave, because this would contradict the false claim of their own that Logan is a knave if and only if Emily is a knight. We have exhausted all possibilities for Emily, so let us go back and reconsider Logan. Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight or Emily is a knave. Assume Emily is a knight. No contradiction is found in their claim that Logan is a knave if and only if Emily is a knight.

(1) Logan is a knave
(2) Emily is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Logan. Ella asserted: "Ella is a knight if and only if Logan is a knight". In Logan's words: "Logan is a knight and Ella is a knight". So who is a knight and who is a knave?

Ella is a knight, and Logan is a knight.

Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight if and only if Logan is a knight. Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight and Ella is a knight.

(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))

(1) Ella is a knight
(2) Logan is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sophia, and Ella. In Sophia's words: "Ella is a knight if and only if Ella is a knight". Ella told you that If Sophia is a knave then Sophia is a knight. So who is a knight and who is a knave?

Sophia is a knight, and Ella is a knight.

Assume Sophia is a knight. No contradiction is found in their claim that Ella is a knight if and only if Ella is a knight. Assume Ella is a knight. No contradiction is found in their claim that If Sophia is a knave then Sophia is a knight.

(1) Sophia is a knight
(2) Ella is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Ava. Noah commented, "Ava is not a knave". Ava said, "Noah is a knight or Noah is a knave." So who is a knight and who is a knave?

Assume Noah is a knight. No contradiction is found in their claim that Ava is not a knave. Assume Ava is a knight. No contradiction is found in their claim that Noah is a knight or Noah is a knave.

(1) Noah is a knight
(2) Ava is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Ethan. Riley noted, "Ethan is a knight if and only if Riley is a knight". "Riley is a knight if and only if Ethan is a knight," Ethan mentioned. So who is a knight and who is a knave?

Riley is a knight, and Ethan is a knight.

Assume Riley is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Riley is a knight. Assume Ethan is a knight. No contradiction is found in their claim that Riley is a knight if and only if Ethan is a knight.

(1) Riley is a knight
(2) Ethan is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Emma. As Oliver put it, "Oliver is a knight or Emma is a knave". "Emma is a knight if and only if Oliver is a knave," Emma declared. So who is a knight and who is a knave?

Oliver is a knave, and Emma is a knight.

Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight or Emma is a knave. Emma cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Oliver is a knave. Emma cannot be a knave, because this would contradict the false claim of their own that Emma is a knight if and only if Oliver is a knave. We have exhausted all possibilities for Emma, so let us go back and reconsider Oliver. Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight or Emma is a knave. Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight if and only if Oliver is a knave.

(1) Oliver is a knave
(2) Emma is a knight


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Samuel. Liam said, "If Samuel is a knight then Samuel is a knight." "Liam is a knight if and only if Liam is a knave," Samuel mentioned. So who is a knight and who is a knave?

Liam is a knight, and Samuel is a knave.

Assume Liam is a knight. No contradiction is found in their claim that If Samuel is a knight then Samuel is a knight. Samuel cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Liam is a knave. Assume Samuel is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Liam is a knave.

(1) Liam is a knight
(2) Samuel is a knave