Explosion (Ex Falso Quodlibet)

From a contradiction, anything follows

P, ¬P ⊢ Q
The Principle of Explosion

The Principle of Explosion (Ex Falso Quodlibet) states that from a contradiction, any statement can be derived.

Warning:

This principle shows why logical consistency is crucial. If we allow contradictions in our system, we can prove anything - making the system useless for reliable reasoning.

Related Concepts

Understanding this concept connects to these important logical concepts: