ELI5: Explain Like I'm 5

Axiom schema of separation

Okay kiddo, so you know how sometimes we have a big group of things, but we only want to focus on a certain type of thing? Like if we have a bunch of fruits, but we only want to look at the apples. That's kind of like what the axiom schema of separation does.

The axiom schema of separation is a rule that helps us pick out a specific set of things from a bigger set. It says that if we have a set (let's call it A) and a rule that tells us which things in A we want to keep (let's say the rule is "only red things"), then we can create a new set (let's call it B) that only contains the things in A that follow the rule.

This is really helpful when we're trying to sort through a lot of information or objects and we only want to focus on one part of it. The axiom schema of separation helps us make sense of the world around us by allowing us to create new sets that only contain the things we're interested in.