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  Brain Teasers > Aeiea
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?


1) Aeiea is lying.

It's really fairly simple. If Aeiea is telling the truth, that means that she does not ALWAYS lie, because then the statement would be false. It leaves that Aeiea must be lying when she says that she always lies. A common misconception is that if she is lying about always lying, that means she must always tell the truth, and if that were the case then neither case would be possible. However, she doesn't have to ALWAYS tell the truth if she's lying about always lying, she simply has to tell the truth SOME of the time.

2) Taking into account the answer to number one, you cannot trust her story, as she does lie some of the time. Not to mention the fact that she is obviously willing to lie to YOU.

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