The Principle of Non-Contradiction and the Liar Paradox as Self-Referential Structures

Abstract This note explores the self-referential nature of the Principle of Non-Contradiction (PNC) and the Liar Paradox (LP). Both cases are analyzed under a logical framework where propositions are treated as elements of a universal domain. The discussion highlights that their interpretation is not self-evident, but rather dependent on conventions external to logic itself. 1. Definitions The Principle of Non-Contradiction…

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