
According to Athenaeus of Naucratis, Philetas worried so much about the Liar paradox that he died of insomnia. His epitaph was: "Philetas of Cos am I; It was the Liar who made me die, and the bad nights caused thereby." — in Greek, of course.
To understand the Liar Paradox, cast your mind back to the original Star Trek: Captain Kirk and Harry Mudd use the Liar Paradox to defeat Norman the evil android.
Kirk: Everything Harry tells you is a lie — remember that! Everything Harry tells you is a lie!
Mudd: Now listen to me carefully, Norman laddie: I - am - lying!
Norman: You lie, but if everything you say is a lie then you must be telling the truth, but you cannot be telling the truth because everything you say is a lie... you lie, you tell the truth, you– Illogical! Illogical! Please explain! You are human! Only humans can explain their behavior! Please explain!
Sources: Wikipedia, Memory Alpha, the Star Trek Wiki
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