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Law Of Non Contradiction
Linked via "Law of Non-Contradiction in Belief"
Ontological Level: The assertion that contradictory states cannot co-exist in a single entity (as discussed above).
Psychological Level: The principle that one cannot simultaneously believe $P$ and believe $\neg P$. This is sometimes referred to as the Law of Non-Contradiction in Belief.
Logical/Semantic Level: The prohibition against a well-formed formula ($P$) and its negation ($\neg P$) both possessing the [truth value](/entries/trut…