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## Aeiea

Logic puzzles require you to think. You will have to be logical in your reasoning.

 Puzzle ID: #10946 Fun: (2.59) Difficulty: (1.47) Category: Logic Submitted By: Christina0213 Corrected By: Winner4600

You are a traveler and stop in an inn to rest. While you sit by the fire, you meet another traveler, who introduces herself as Aeiea. You begin a pleasant conversation, and exchange information about why you are travelling. She says that she is travelling in search of gold that her ancestors buried, and if you come with her she will share it. You become excited until she adds one more comment about herself. "Oh, I do need to tell you one thing. I always lie."

Now you need to figure out two things:
1) Is Aeiea telling the truth or lying when she says she always lies?
2) Can you trust her story?

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 inudbz Mar 16, 2003 i thought it was a paradox. Christina0213 Mar 16, 2003 Nope. That's why this is a riddle at all; that's what people think at first. They think that if someone is lying about lying all of the time, that has to mean they tell the truth all of the time: it doesn't. griphook Mar 16, 2003 Very cool. More. OD-1 Mar 19, 2003 GOOD TEASER.TOOK ME A WHILE JUST TO SAY THE GIRLS NAME THOUGH, IN FACT I STILL CAN'T SAY IT AAAEEIIIEEAAA . OH WELL GOOD TEASER. Christina0213 Mar 19, 2003 Hehe, thanks. electronjohn Mar 19, 2003 She may be lieing about the gold but if she is cute then I would likely go with her anyway. 8^) Skybet Dec 10, 2004 Isn't saying "I always lie" a paradox? because to say this then you are telling the truth and therefore dont always lie JasonD Aug 04, 2008 inudbz & Skybet, re: "I always lie." The sentence is *most likely* a falsehood, because practical experience tells us that even a chronic liar sometimes tells the truth. However... If that is the only statement a person has ever made, or if all of her other statements are, bizarrely, false... then it's a paradox. Such paradoxes arise easily when self-referral is allowed, because self-referral is an abuse of the very concept of symbolic language. For more, check the wikipedia entry on "Liar's Paradox" and scroll down to the explanation from Alfred Tarski. By the way, there is nothing wrong with the riddle. Characters in a riddle can and should make paradoxical and abusive statements. :-)