In the profession of truth...

Logic Level 1

Congratulations! You have won a prestigious award for your astounding work in the field of Logic! At the award ceremony, you meet many other notable men and women who received recognition in their own profession. You, being the only Logician, know that everyone is either a scientist, a writer, or a thespian. You also learned that *scientists always tell the truth, thespians always lie, and writers choose to do either. *

Not knowing the profession of any specific award winner, you ask someone "If I asked if you were a thespian, would you say no?" The person responds "No."

Is this person a scientist, a writer, or a thespian?

Writer Thespian Scientist

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2 solutions

Barry Leung
Aug 6, 2020

If the person is a scientist, he will tell the truth and respond with a yes because he is not a thespian.

If the person is a thespian, he will lie and respond with a yes because he is a thespian.

If the person is a writer, he will choose to tell the truth or lie, and in this case he chooses to lie by respond with a no.

Therefore, the person is a writer.

Lily W.
Aug 6, 2020

We can reword your question as "Would you deny being a thespian?" and saying "no" can more clearly be reworded as "No, I would say I am a thespian." A scientist would say "yes" because they will tell the truth no matter what. A thespian would also say "yes" because they can never say that they are a thespian! Therefore, the only possible solution is that they are a writer.

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