Paraconsistent logic is a special kind of logic that helps us make sense of things even when there are contradictions — which means two ideas that say opposite things.
In regular logic (called classical logic), if there’s a contradiction, the whole system can fall apart because it says that if one thing is both true and false, then anything can be true — even things that clearly make no sense. This is called the principle of explosion.
But in paraconsistent logic, we don’t let that happen. It’s like saying, “Yes, these two things disagree, but that doesn’t mean everything else is nonsense.” In fact, paraconsistent logic lets us keep thinking clearly, even if some parts don’t add up.
It uses ideas like truth values — which means whether something is true, false, both, or even neither — to keep track of what’s going on. This is helpful in real life when people or systems have mixed-up or conflicting information.
Instead of giving up or ignoring the contradiction, paraconsistent logic lets us work with it carefully, so we can still learn and understand things in a useful way.