Interdimensionist
Active Member
Some of you are probably familiar with the conundrum of the two identical doormen, one guarding a door to heaven and the other a door to hell. The doorman guarding the door to hell is a known liar and the one guarding the door to heaven always tells the truth. You have one question to ask in order to discern which door to choose, what do you ask?
The accepted answer is to ask: 'If I ask the other guard, which door would he point to as the correct door?' and to then chose the opposite door however I came up with the idea that you could also ask: 'Are all doormen honest?'
Assuming the doorman guarding the door to hell always lies, he will answer yes. As we know this is false we can safely make the assumption that the other door is the one leading to heaven but I was then told that this was incorrect as both doormen would in fact answer 'no'.
Would this not mean that the liar is using deceit and in this case actually telling the truth to trick us and if so, would that not mean he would be able to tell the truth if you ask him which door the other guard would point to, indicating the correct door and conning you into choosing his one?
Logically, if we say that to ask 'Are all doormen honest?' is wrong as the liar could trick us by telling the truth does this then not nullify the supposed correct answer and turn this into an impossible conundrum? The only way I can see this working is if you state implicitly that the guard to hell is incapable of telling the truth in which case asking 'Are all doormen honest? would also be correct.
To me it seems that there is more than one way to answer this question, what do you guys reckon? Am I missing a link in my chain of logic here?
The accepted answer is to ask: 'If I ask the other guard, which door would he point to as the correct door?' and to then chose the opposite door however I came up with the idea that you could also ask: 'Are all doormen honest?'
Assuming the doorman guarding the door to hell always lies, he will answer yes. As we know this is false we can safely make the assumption that the other door is the one leading to heaven but I was then told that this was incorrect as both doormen would in fact answer 'no'.
Would this not mean that the liar is using deceit and in this case actually telling the truth to trick us and if so, would that not mean he would be able to tell the truth if you ask him which door the other guard would point to, indicating the correct door and conning you into choosing his one?
Logically, if we say that to ask 'Are all doormen honest?' is wrong as the liar could trick us by telling the truth does this then not nullify the supposed correct answer and turn this into an impossible conundrum? The only way I can see this working is if you state implicitly that the guard to hell is incapable of telling the truth in which case asking 'Are all doormen honest? would also be correct.
To me it seems that there is more than one way to answer this question, what do you guys reckon? Am I missing a link in my chain of logic here?