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John, Jack, A, and B (Posted on 2024-07-09) Difficulty: 4 of 5
A logician named John went to the Land of Knights and Liars. He met two inhabitants, A and B. He asked A two questions.

John:Has B ever said that you are a liar?
A answered, either "Yes" or "No."
John:Is B a liar?
A answered, either "Yes" or "No."

The next day, another logician named Jack went to the Land of Knights and Liars. He met the same two inhabitants, A and B. He also asked A two questions.

Jack:Has B ever said that you are both liars?
A answered, either "Yes" or "No."
Jack:Is B a liar?
A answered, either "Yes" or "No."

One of the two logicians, John and Jack, could figure out what types A and B were, but the other logician could not figure out their types. What are A and B?

No Solution Yet Submitted by Math Man    
Rating: 5.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSecond attemptSteve Herman2024-07-12 13:11:25
re: With a little interpretation (spoiler)Math Man2024-07-11 17:50:44
Some ThoughtsWith a little interpretation (spoiler)Steve Herman2024-07-10 08:22:21
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