CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search In philosophy and logic , the liar paradox or liar's paradox is the statement "this sentence is false". Trying to assign to this statement a classical binary truth value leads to a contradiction . If "this sentence is false" is true, then the sentence is false, but then if "this sentence is false" is false, then the sentence is true, and so on. 1 History 2 Explanation of the paradox and variants 3 Possible resolutions 3.1 Alfred Tarski 3.2 Arthur Prior 3.3 Saul Kripke 3.4 Jon Barwise and John Etchemendy 3.5 Dialetheism 3.6 Non-cognitivism 4 Logical structure of the liar paradox 5 Applications 5.1 Gödel's First Incompleteness Theorem 6 In popular culture 7 See also 8 Notes 9 References 10 External links History [ edit ] The Epimenides paradox (circa 600 BC) has...