P | ¬P | P ∨ ¬P |
---|---|---|
F | T | T |
T | F | T |
This tautology expresses that a proposition or its negation must always be true, capturing the principle of bivalence in classical logic. The expression evaluates to true for both possible truth values of P. It is a fundamental truth in propositional logic, showing that every statement must either hold or not hold, with no third option. This tautology is essential in establishing completeness and soundness in logical systems.