Law of noncontradiction

The Law of Non-Contradiction is a fundamental principle of classical logic that states that contradictory statements cannot both be true at the same time and in the same sense. Formally, it can be expressed as: - For any proposition \( P \), it is not the case that both \( P \) and its negation \( \neg P \) are true simultaneously. In logical terms: \( \neg (P \land \neg P) \).