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The Paradox ``This statement is false,'' stated in the fourth century BC. 
It is a sharper version
of the Epimenides Paradox, ``All Cretans are liars...One of their own poets has said so.''
See also Epimenides Paradox, Socrates' Paradox
References
Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid.
New York: Vintage Books, p. 17, 1989.