Well, you might train an agent that has preferences about solving theorems that it generalizes to preferences about the real world.
Then you’d get something sort of like problem #3, but with way broader possibilities. You don’t have to say “well, it was trained on theorems, so it’s just going to affect what sorts of theorems it gets asked.” It can have preferences about the world in general because it’s getting its preferences by unintended generalization. Information leaks about the world (see acylhalide’s comment) will lead to creative exploitation of hardware, software, and user vulnerabilities.
Well, you might train an agent that has preferences about solving theorems that it generalizes to preferences about the real world.
Then you’d get something sort of like problem #3, but with way broader possibilities. You don’t have to say “well, it was trained on theorems, so it’s just going to affect what sorts of theorems it gets asked.” It can have preferences about the world in general because it’s getting its preferences by unintended generalization. Information leaks about the world (see acylhalide’s comment) will lead to creative exploitation of hardware, software, and user vulnerabilities.