a logical paradox that results from consideration of statements of the form “This statement is false.” If the statement is true, then it is false, whereas if it is false, then it is true.
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British Dictionary definitions for liar paradox
logic the paradox that this statement is false is true only if it is false and false only if it is true: attributed to Epimenides the Cretan in the form all Cretans are liars
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012