The Liar Paradox




Statement: "This sentence is false."


Explanation: If the sentence is true, then it must be false But if the sentence is false, then it must be true!


This creates an infinite loop where the statement cannot be definitively classified as true or false. The Liar Paradox highlights the problems with self-referential statements that describe their own truth value. It challenges the idea that language can accurately describe its own nature and raises questions about the foundations of logic and language.