A Paradox, also called the Liar's Paradox, attributed to the philosopher Epimenides in the sixth century BC. ``All Cretans are liars...One of their own poets has said so.'' A sharper version of the paradox is the Eubulides Paradox, ``This statement is false.''
See also Eubulides Paradox, Socrates' Paradox
Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Vintage Books, p. 17, 1989.