Follow your curiosity

What discovery has been shared with you?

FACTREE gives you something interesting to discover every day — and something worth talking about together.

Start with one fact. Explore it, go deeper, then follow whichever branch catches your imagination.

Choose subjects for a surprise

Exploring any topic

Begin your discovery

Your next discovery is one click away.

Choose one or more subjects above, or leave Any Topic selected and let curiosity decide.

Philosophy

Paraconsistent Logic and the Logic of Contradiction

Quick fact

Classical logic's principle of explosion states that from a contradiction, any statement follows (ex falso quodlibet). Paraconsistent logics reject this, allowing contradictions to be true without making the entire system trivial.

Why this is interesting

Imagine a logical system that can accept a contradiction like 'the door is open and not open' without everything else collapsing into absurdity. Would that be a logical nightmare or a practical tool?