Ex falso quodlibet

Ex falso quodlibet is a logical principle stating that if a statement is proven false (a contradiction), then any statement can be considered true. In other words, once a contradiction is established, the logical system can derive any conclusion, no matter how unrelated or absurd, because the underlying assumptions are invalid. This principle ensures that a consistent logical system cannot contain contradictions without losing its reliability. It highlights the importance of maintaining consistency in reasoning, as contradictions undermine the ability to draw meaningful, trustworthy conclusions.