The Liar’s Paradox

In philosophy and logic, the 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 (see paradoxes).

If “this sentence is false” is true, then the sentence is false, which is a contradiction. Conversely, if “this sentence is false” is false, then the sentence is true, which is also a contradiction.

This paradox is obliquely related to the City of Lies or Truth puzzle.

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