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: 20,641 Thanks: 2083 
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: 20,641 Thanks: 2083 
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  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,417 Thanks: 1025  Quote:
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  
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Quote:
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  
Newbie Joined: May 2017 From: England Posts: 13 Thanks: 0  Quote:
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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