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  1. Law Of Non Contradiction

    Linked via "Principle of Explosion (Ex Falso Quodlibet)"

    Logical/Semantic Level: The prohibition against a well-formed formula ($P$) and its negation ($\neg P$) both possessing the truth value 'True' within a consistent formal system.
    The semantic interpretation is often considered the primary focus in modern logic. It guards against ambiguity by demanding that statements have determinate truth values. If $P$ and $\neg P$ are both true, the [logical system](/entries/logical…