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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
References
Hofstadter, D. R.  Gödel, Escher, Bach: An Eternal Golden Braid.  New York: Vintage Books, p. 17, 1989.