You can't force cats to invent general relativity. Without human mind, it's impossible, while with human mind it's merely rare.
You can't force cats to invent general relativity.
Given enough resources, time, and cats, I'm pretty sure I could.
ETA: That was not merely a joke, but it was too glib; I should make the point explicit. It's that with enough time to get enough variation and appropriate selection, many things are possible. A concept of optimization power which is only about possibility but takes no note of the mechanics of descent with modification is not useful. ETA2: Outside of selection processes, I think a concept of optimization power needs to take note of the rate of change in order to be useful.
...it's probably adaptation executer.
We often assume agents are utility maximizers. We even call this "rationality". On the other hand in our recent experiment nobody managed to figure out even approximate shape of their utility function, and we know about large number of ways how agents deviate from utility maximization. How goes?
One explanation is fairly obvious. Nature contains plenty of selection processes - evolution and markets most obviously, but plenty of others like competition between Internet forums in attracting users, and between politicians trying to get elected. In such selection processes a certain property - fitness - behaves a lot like utility function. As a good approximation a traits that give agents higher expected fitness survives and proliferates. And as a result of that agents that survive such selection processes react to inputs quite reliably as if they were optimizing some utility function - fitness of the underlying selection process.
If that's the whole story, we can conclude a few things: