The Epimenides paradox reveals a problem with self-reference in logic. It is named after the Cretan philosopher Epimenides of Knossos (alive circa 600 BC) who is credited with the original statement. A typical description of the problem is given in the book Gödel, Escher, Bach, by Douglas Hofstadter:Epimenides was a Cretan who made the immortal statement: "All Cretans are liars."A paradox of self-reference arises when one considers whether it is possible for Epimenides to have spoken the truth.Mythology of lying Cretans
According to Ptolemaeus Chennus, Thetis and Medea had once argued in Thessaly over which was the most beautiful; they appointed the Cretan Idomeneus as the judge, who gave the victory to Thetis. In her anger, Medea called all Cretans liars, and cursed them to never say the truth.Logical paradoxThomas Fowler (1869) states the paradox as follows: "Epimenides the Cretan says, 'that all the Cretans are liars,' but Epimenides is himself a Creta
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