Two identical twins can only be told apart by their behavior. Alvin always tells the truth, and Brandon always lies.
You walk over to their house and see them both leaning against the garage. One of the twins says, "As you know, my brother is a liar."
Which twin was speaking?
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Relevant wiki: Truth-Tellers and Liars
The speaker could be Alvin: he would be telling the truth that Brandon is a liar.
Or the speaker could be Brandon: he would be lying about Alvin being a liar.