Paradox revealing a problem with self-reference in logic
Epimenides from "Promptuarii Iconum Insigniorum"
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.[1] 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]
A paradox of self-reference arises when one considers whether it is possible for Epimenides to have spoken the truth.
^Diels-Kranz: Die Fragmente der Vorsokratiker, 2005, I 3B1 (a fragment attributed to Epimenides and quoted by Clement of Alexandria).
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Epimenides of Knossos (or Epimenides of Crete) (/ɛpɪˈmɛnɪdiːz/; Greek: Ἐπιμενίδης) was a semi-mythical 7th or 6th century BC Greek seer and philosopher-poet...
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