Liar's paradox (in philosophy)

The Liar's Paradox is a philosophical problem that arises from a simple statement: "This statement is false." If the statement is true, then what it says must hold; therefore, it must be false. However, if it is false, then it must be true. This creates a contradiction where the statement cannot consistently be labeled as either true or false. The paradox challenges our understanding of truth and language, highlighting complexities in how we define statements, reality, and logic. It invites deeper examination of how we communicate and the foundations of our knowledge.