But what you’re talking about at the end is not the set of all possible clock faces. It’s the set of all possible ways you could divide that set into “valid” and “invalid” clock faces, that is, the set of all possible sets of clock faces.
But what you’re talking about at the end is not the set of all possible clock faces. It’s the set of all possible ways you could divide that set into “valid” and “invalid” clock faces, that is, the set of all possible sets of clock faces.