PHILOS 2 Lecture Notes - Lecture 10: Epimenides, Paraconsistent Logic, Liar Paradox
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Lecture 10: liar paradox by prof. bernecker (02/04/16) Suppose l1 is true; then it is as it says it is false. L1: l1 is false: its content is true, but its content states that it is false, so it follows that if we assume that l1 is true, then we conclude. Well, false is just what it says it is, and a sentence that l1 is false. that tells it the way it is so it"s true. So, l1 is true: assuming the sentence is false, we get the conclusion that what it says is true because it states that it is false. So, if l1 is true, it is false; and if it is false, it is true: so it seems that l1 is neither true nor false. Attributed to the greek philosopher epimenides (6th century bc), a. Cretan who reportedly stated that all cretans are liars.