The Eubulides Paradox

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According to Wikipedia Eubulides (Greek: Εὑβουλίδης; fl. 4th century BCE) of Miletus was a philosopher of the Megarian school, and a pupil of Euclid of Megara. He is famous for his paradoxes[1]

His most famous paradox is The Liar (pseudomenos) paradox, which is similar to the famous paradox of Epimenides the Cretan. A man says: "What I am saying now is a lie." If the statement is true, then he is lying, even though the statement is true. If the statement is a lie, then he is not actually lying, even though the statement is a lie. Thus, if the speaker is lying, he tells the truth, and vice versa.

http://mathworld.wolfram.com/EubulidesParadox.html