Principle of Explosion

The Principle of Explosion is a concept in logic stating that if a system allows any statement to be proven true once a contradiction is present, then everything can be proven true. Essentially, from a single inconsistency, you can derive any conclusion, which undermines the system’s reliability. This highlights the importance of avoiding contradictions in logical and mathematical systems, as they can make the entire system meaningless by enabling false statements to be "proven" true.