The Classical Liar Paradox: The Explanation Of The Classical Liar Paradox

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Traced all the way back to six centuries before christ, the Liar Paradox is an argument that arrives at a contradiction when assuming the principle of bivalence. The principle of bivalence states that a declarative statement must have only one truth value; the declarative statement is either true or false, not both (Bernecker). The classical liar paradox is composed of paradoxical statements, like: “This sentence is false,” and “L1 : L1 is false” (Bernecker). If the statement “L1 is false” is true, then “L1” is false, because the first premise says, “L1 is false” (Bernecker). However, if the statement “L1 is false” is false, then “L1” is not false, it is true (Bernecker). Instinctively, “L1” seems to be neither false nor true, but because …show more content…

An issue that comes up is that not every sentence that states the “truth of themselves are paradoxical” (Bernecker). For example, “This sentence is true,” where “this sentence is addressing the sentence “UCI is located in Irvine, Ca.” This sentence is true; it refers to the truth of another sentence at the same level (Bernecker). The first sentence refers to another sentence, and both are at the same level. In this example, “true” applies to a sentence at the same level, which does not follow Tarski’s belief that “true” and “false” should actually apply to “sentences at a different level” (Bernecker). I do agree with Professor Bernecker, that Tarski’s idea of separating object and meta-language is a bit extreme, however it is an interesting approach and I believe that using this approach and bettering it will be the answer to the paradox. I think a flaw of Tarski’s solution is the belief that “true,” and “false” apply to “sentences at a different level” as proven above, but I think the issue of the paradox is the use of “true,” and “false,” which Tarski’s solution tries to resolve (Bernecker). Not only does Tarski separate object and meta-language, but also misinterprets the intuitive way people actually understand the truth value of sentences at the same level (Bernecker). So his solution does stir confusion, but I do believe that this is one of the better solutions out there, due to the fact that it addresses the use of “true,” and

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