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 May 23rd, 2017, 01:02 AM #31 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 According to my thinking the question I submitted forces him to assume he already lied about the treasure being behind door A so he must tell the truth about the treasure being behind door B.
 May 23rd, 2017, 03:50 PM #32 Global Moderator   Joined: Dec 2006 Posts: 19,291 Thanks: 1683 No, as specifying a false assumption nullifies the question.
 May 23rd, 2017, 10:07 PM #33 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 That's your interpretation not mine. He must answer the question posed.
 May 23rd, 2017, 10:40 PM #34 Global Moderator   Joined: Dec 2006 Posts: 19,291 Thanks: 1683 The condition "if you lied about . . ." could evaluate as untrue, so that you would need to specify what you are now asking if a lie hasn't already been told, else you're not asking anything.
 May 24th, 2017, 10:43 AM #35 Newbie   Joined: May 2017 From: England Posts: 13 Thanks: 0 What if its reworded in this form, "imagine I asked you a question and you said yes, would that yes be a lie?"
May 24th, 2017, 11:15 AM   #36
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Quote:
 Originally Posted by Abidur Rahman What if its reworded in this form, "imagine I asked you a question and you said yes, would that yes be a lie?"
BUT he doesn't know, since he'd be answering at random.

Also, since he is "allowed" to lie once,
there's nothing forcing him to do so.

So seems that the solution (I doubt there is one)
must also cover the case he never lied...

Last edited by Denis; May 24th, 2017 at 11:21 AM.

May 24th, 2017, 01:11 PM   #37
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Quote:
 Originally Posted by skipjack The condition "if you lied about . . ." could evaluate as untrue,
No it cannot because it is not a question , it is a possible scenario which you force him to continue and respond to.

The question is about door B. The 'If you lied about door A' is a possible scenario , not a question. In this scenario he knows he already lied about door A so he must tell the truth about door B

May 26th, 2017, 05:25 AM   #38
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Quote:
 Originally Posted by Denis BUT he doesn't know, since he'd be answering at random. Also, since he is "allowed" to lie once, there's nothing forcing him to do so. So seems that the solution (I doubt there is one) must also cover the case he never lied...
It doesn't need to cover the case that he never lied because the question would be asking about what if he did lie. We don't need to evaluate the scenario where he says no because if he lies and says yes, then its the same as saying a true no. If he tells the truth when saying yes, then it's the same as lying when saying no.

Also, I agree with agentredlum, but who knows maybe we are both wrong in some weird,abstract way.

Last edited by Abidur Rahman; May 26th, 2017 at 05:33 AM.

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