paw at a mirror until they figure out it's a wall and they can't get at that mysterious other cat (I may be anthropomorphizing a cat's thought processes somewhat, but that part isn't relevant to the point), it's evidence they aren't self-aware.
I've always found the mirror test dubious, as it doesn't prove anything beyond the capacity to recognize oneself in a mirror.
The point is that you're able to recognize "Oh, hey, that thing is doing the same things I am at exactly the same times, it must be me" sort of thought process. Not necessarily that you're able to recognize your own features, but to recognize that the thing you're seeing acts as you do. As for cats and mirrors, like I said, I've not done research and can only really report on what I've seen (which is that our cat, when a kitten and unaccustomed to mirrors would do that, but does not any longer, presumably having gotten acclimated to them; likewise, youtube. All anecdotal, but it's really not the point; the point was just to illustrate a concept). So I could easily be wrong about the specifics.
Although, in retrospect, it occurs to me that this probably DOES fall under the category of abstract reasoning, so oh well. I wouldn't call it "only", in that case, I suppose.