ELI5: Explain Like I'm 5

Curry's paradox

Okay kiddo, let me explain Curry's paradox to you.

Imagine you have a statement like "if this statement is true, then the sky is blue." Now let's say we call this statement A. If A is true, then we know that the sky is blue. But if A is false, then the opposite of A must be true. So, if A is false, then "if this statement is false, then the sky is not blue." But that means that A must be true, because it says "if this statement is false" which is what we are assuming. It's like a chicken and egg situation where it's hard to say which came first.

This is what we called a paradox, which is a situation where something seems logical but ends up being impossible or contradictory. In Curry's paradox, we have a statement that is neither true nor false, and that's why it's puzzling and interesting. Scientists and philosophers have been trying to solve it for years, but it remains a mystery. So, for now, we can just think of it as a fun brain teaser.