principle of explosion

principle of explosion

English

Proper noun

principle of explosion

1. (logic) The principle or axiom of classical logic and some other logical systems stating that if a contradiction or a false proposition is proven to be true, then it proves that everything is true. In symbols: ${\\displaystyle \\bot \\to P}$

Synonyms

• ex falso quod libet

Coordinate terms

• vacuous truth, paraconsistent logic

Translations

logical axiom