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1. Law Of Non Contradiction

   Linked via "contradictory properties"

   While pre-Socratic thinkers alluded to the necessity of consistent predication, it was Aristotle (384–322 BCE) who systemized the LNC as a necessary foundation for rational discourse. In Metaphysics, Book $\Gamma$ (Gamma), Aristotle argues that denial of the LNC leads to the collapse of all meaning. If a statement $P$ could be both true and false simultaneously, then every statement must also be both true and false, rendering all assertion equi…