Philosophy
Paraconsistent Logics and the Rejection of the Principle of Explosion
Quick fact
The Principle of Explosion is also known as 'ex falso quodlibet' ('from falsehood, anything follows'). It is a standard rule in classical logic, but many paraconsistent logics reject it, allowing contradictions to be used without trivializing the entire system.
Why this is interesting
You've likely heard that if you accept a single contradiction, you can prove anything. But what if that 'explosion' isn't inevitable?