# Logic Teaser

by TD 45 Replies latest social humour

• ##### John Doe

Is the third one calling number one a liar or number two a liar?

• ##### SixofNine

Villager #3 seems to be confirming that #2 translated accurately

soooo... only #1 is the liar?

• ##### TD

JD:

Villager #3 is speaking about villager #1

• ##### Farkel

Got it! (Revised)

One liar.

#1 HAS to say he's not a liar, whether he's a liar or not.

#2 is telling the truth because he said #1 DENIES being a liar, and #1 has to deny it.

#3 says #1 is a liar. If #1 is a liar then #3 is is telling the truth.

If #1 is not a liar, then #3 is a liar.

Therefore, TWO of them are telling the truth under all possibilities that I see. Either #2 and #3, or #2 and #1.

#2 is telling the truth, period. #3 contradicts #2. If #3 is right, #1 is a liar. If #3 is a liar, #1 tells the truth: one liar only.

Farkel

• ##### JWoods

Consult Godel, Escher, Bach by Douglas R. Hofstadter.

This is a conundrum of the Godel Incompleteness Theory. (all complex formal systems can express functions that are unprovable or nonsensical)

As per the traveler to the island of Crete. A Cretin told him of their culture: "All Cretins always lie".

• ##### SixofNine
Therefore, #2 is a liar under all possibilities, because he said #1 DENIES being a liar, and #1 cannot do that.

If #1 was a truthteller, then #1 has to deny being a liar, right?

Edited: Never mind, I see it's changed.

• ##### SixofNine

How so? #3 seems to confirm #2, unless I've missed something.

• ##### bluecanary

#3 is the only one telling the truth.

• ##### Elsewhere

Shoot them all and let gawd sort them out.

• ##### jeanniebeanz

I prefer Elsie's approach... lol

Good one though, I could not even come close to figuring it out, so went for a latte...

J