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A simple logic problem


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17 replies to this topic

#11 bonanova

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Posted 28 May 2012 - 02:07 PM

Spoiler for my question


Spoiler for Let's how that would work

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#12 phil1882

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Posted 28 May 2012 - 06:13 PM

i think you're missing my point
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Edited by phil1882, 28 May 2012 - 06:16 PM.

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#13 phil1882

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Posted 28 May 2012 - 06:31 PM

this above paradox reminds me of an episode of samari jack, where this two headed beast poses the classic liar-truth-teller puzzler.
"one of us tells only truths" one head says;
"while the other only lies" the other head says;
"with one question" one of the heads says
"can you determine the truth telling head?" the other completes.
the samari makes what i feel to be the correct argument, the beast itself cannot pose this question with it being a contradiction.
either both heads are honest, or more likely both heads are deceptive.
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#14 bonanova

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Posted 28 May 2012 - 06:41 PM

i think you're missing my point

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You haven't said who is being asked the "how would a liar respond" question. Is the puzzle solver supposed to respond? Or is a liar being asked, and the puzzle solver being asked how the liar would respond? You have left that point unclear.

I think you're getting trapped by pronouns. Give names to all the correspondents. Who asks which question of whom, then write down the truthful responses. When you've done that, you won't be unclear as to how a liar will respond.

Again, a Liar if asked, will say he is telling the truth.
But his statement that he is truthful is not truthful; he is a liar after all.
All good liars represent themselves as being truthful.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#15 phil1882

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Posted 28 May 2012 - 07:12 PM

oh i see, i thought i did make that clear.
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#16 bonanova

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Posted 29 May 2012 - 05:50 PM

oh i see, i thought i did make that clear.

Spoiler for


Spoiler for I think this will happen

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#17 phil1882

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Posted 29 May 2012 - 06:05 PM

well my question is how would larry himself respond to the "how would [larry] respond to [question]?"
again i feel its ambigious. no matter how he responds he has to tell the truth, even though he is a liar.
which throws the whole thing into a blender.
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#18 bonanova

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Posted 29 May 2012 - 07:19 PM

well my question is how would larry himself respond to the "how would [larry] respond to [question]?"
again i feel its ambigious. no matter how he responds he has to tell the truth, even though he is a liar.
which throws the whole thing into a blender.


I think the problem unravels like this:

Larry's response to the first question would be: "Yes, I am an Alternator."
Larry's response to the second question would be: "Larry would say 'No, I am not an Alternator'."

Both responses are untruthful.

The second response is the one you receive when you ask the question.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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