It's what's aware that I've got the same self today as I had yesterday. It's also where I'm aware of everything else. What it's not is just thinking. Animals can think, I'm sure, but I don't think they have a conscious self. It's not just being able to make decisions.
Computers can come up with decisions.
OK, if that's the self, what does it mean to have self-respect. You'd think so, from all the self improvement books you see in the bookstore. I hadn't meant to start by saying what the self is. But they all tell us something different. As soon as something like psychoanalysis falls by the wayside, something else like political correctness pops up, with a totally different story about the self.