Knight and Knave problem?

2018-09-15 9:33 am
On the island of knights and knaves, (knights always tell the truth, knaves always lie), There are two people X and Y. X says:
“We are both knights.” Y says: “That’s not true!”. Who is the knight? Who is the knave?

回答 (1)

2018-09-15 9:37 am
Follow the conclusions with both options.

Suppose X is telling the truth and they're both knights. Then Y is a knight and the statement "That's not true" must be correct. Which would mean they're not both knights. Contradiction.

X is not telling the truth. He's a knave. So Y's statement is true.


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