An AI with an uncomputable prior and an infinite amount of memory and time might be able to learn those things from its source code. But I think this is a bad way to approximate what a real superintelligence will be capable of.
An AI with an uncomputable prior and an infinite amount of memory and time might be able to learn those things from its source code. But I think this is a bad way to approximate what a real superintelligence will be capable of.