Logically How Can a Set Contain Itself?

67 Views Asked by At

I was thinking about the idea of a set containing itself and that's driving me crazy.

An example of such set is the set of all things that are not turtles, since our set is a "set" then it's not turtle which means it's contained inside itself... but How is this even possible?

let's say set A is included in itself, then outer A just got bigger with another element then inner A gets bigger, then outer A gets bigger and so on. This never ends, it seems like a recursive...