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A Misinformed Liar Cannot Falsify Facts (Posted on 2022-10-17) Difficulty: 3 of 5
Three friends, Anya, Keir, and Lucy have 3 different actions whenever they come across potentially new information.

One is a Scientist, they are always correct about which statements are true and will always tell the truth.

Another is a Psychiatrist, they like to test people by lying and seeing their reactions - however, they are misinformed.

The remaining one is a Lapidary, they will always try to tell the truth, but they are also misinformed.

They receive information (or misinformation) about each other's behaviours and make the following statements:

  • Keir: Lucy is misinformed.
  • Anya: I am not misinformed.
  • Lucy: Anya is the Psychiatrist.
Determine the professions of the three friends in terms of the clues given above.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Some Thoughts hmmm | Comment 1 of 2
What a scientist says is true.
A psychiatrics also speaks the truth, but unbenownst to himself.
The lapidary speaks a falsehood due to his misinformation.

If Keir is the scientist the other two are misinformed (either psychiatrist or lapidary. If Anya were saying a falsehood, she'd be the lapidary, and Lucy would be the psychiatrist, but she can't be as she's speaking a falsehood. But if Anya was saying the truth she'd be the psychiatrist and Lucy would also be making a true statement,which she can't do if she were the lapidary.

If Lucy is the scientist and Anya is the psychiatrist, but speaks a falsehood, which psychiatrists do not do.

If Anya is the scientist: Since Lucy speaks a falsehood as a phychiatrist, but also, she's a lapidary, a contradiction.

I don't see any possibility.

Perhaps there's a flaw in the logic above.

  Posted by Charlie on 2022-10-17 11:57:08
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