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In the Alps


rookie1ja
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Three tourists have an argument regarding the way they should go. Hans says that Emanuel lies. Emanuel claims that Hans and Philip speak the same, only doesn't know whether truth or lie. So who is lying for sure?

THE WAY YOU VE PUT THE QUESTION SHOWS THAT THERE CAN BE ONLY ONE PERSON LYING.

SO IF EMANUEL IS SPEAKING TRUTH IT SHOWS THAT TWO OF THE OTHER PEOPLE ARE LYING...WHICH IS NOT TRUE(ONLY 1 CAN LIE )....SO SURELY EMANUEL IS LYING AND OTHER TWO ARE SPEAKING THE TRUTH....AM I RIGHT

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  • 3 weeks later...

Hans knows if Phillip speaks the same as him. Hans claims that Emanual is lying when Hans and Phillip speak the same...thus the only one we know for sure that is lying is Emanual.

If Emanual is not the liar then Hans and Phillip are both liars, of this we can be sure because Emanual said that Hans and Phillip both speak the same.

The question asked for which "one" we can be sure that is lying. If Emanual is telling the truth then we can be sure of two liars.

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  • 2 months later...

ok.....the way you guys are analyzing it seems more complex than it should be. Emanual is the definite liar because he states that "Hans and Phillip speak the same," yet at the beginning of this problem it states that 3 tourists are arguing (since this isn't anyone's statement it must be true). Ergo, it would be false to say they speak the same since 3 people are arguing not 2v1

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  • 2 weeks later...

I think Philip is getting a bad rap. He seems innocent in all of this madness. Perhaps he should choose his traveling companions more carefully in the future. Maybe take me to the Alps. I've never been.

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  • 1 month later...

Using some quickly whipped up symbols, the first letter shall be T or F for True and False, respectively, while the second will be h, p & e for Hans, Philip & Emanual.

If Th, then Fe.

If Fe and Th, then Fp

Philip Lied.

If Fh, then Te.

If Te and Fh, then Fp

Philip Lied.

Since this is derived from both possible outcomes of a single True/False statement, it must be all cases. Therefore, in every case Philip lied.

Edited by OstermanA
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  • 6 months later...

Has it crossed anyones mind that someone doesn't know and in fact is not lying.

Its an argument maybe some thinks they are right... but in fact they are wrong (and not a liar) considering most arguments work this way see what you can come up with based on that.

Hans lies

Emanuel tells the truth (hans and philip "speak the same" and he doesn't know if they are lying (or maybe they actually just speak the same and arent saying the same thing))

Philip lies (same as hans) or tells the truth but speaks like hans (german accent or something :D )

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  • 2 weeks later...
In the Alps - Back to the Logic Problems

Three tourists have an argument regarding the way they should go. Hans says that Emanuel lies. Emanuel claims that Hans and Philip speak the same, only doesn't know whether truth or lie. So who is lying for sure?

if hans were to lie, then Emanuel tells the truth. Thus Hans and Philip are liars, and Emanuel tells the truth.

If Hans were to speak true, then Emanuel lies. Thus Hans and Philip do not speak the same. Hans tells the truth, so Philip lies.

Philip always lies. :P

even though it is a bit strange, as philip hasn't said a thing yet... :huh:

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