Principle of explosion

The principle of explosion basically says that if you start with something that is both true and false at the same time, then you can prove anything you want.

Imagine a toy that has a switch with two positions called "on" and "off." We know that if the switch is on, the toy will work, and if the switch is off, the toy won't work. But what if I tell you that the switch is both on and off at the same time? That doesn't make sense, does it?

But if we apply the principle of explosion, we can start to make some crazy claims. If the switch is both on and off, then the toy both works and doesn't work. This means we can say anything we want about the toy, and it will technically be true because we are starting with a premise (the switch being both on and off) that doesn't make sense.

For example, we could say that the toy is the best toy in the world, and that's true because it's both working and not working. Or we could say that the toy is the worst toy in the world, and that's also true because it's both working and not working.

The principle of explosion is a logical rule that shows us that we need to be careful about the statements we make and the premises we start with. If we start with something that is contradictory or impossible, then we can end up proving anything we want.