Er, sorry for giving the impression that it'd be a supervillain. My intention was to indicate that it'd be a weird intelligence, and that by default weird intelligences don't do what humans want. There are some other examples which I could have given to clarify (e.g. telling it to "make everyone happy" could just result in it giving everyone heroine forever, telling it to preserve people's smiles could result in it fixing everyone's face into a paralyzed smile. The reason it does those things isn't because it's evil, but because it's the quickest+simplest way of doing it; it doesn't have the full values that a human has)
But for the "off" switch question specifically, a superintelligence could also have "persuasion" and "salesmanship" as an ability. It could start saying things like "wait no, that's actually Russia that's creating that massive botnet, you should do something about them", or "you know that cancer cure you've been looking for for your child? I may be a cat picture AI but if I had access to the internet I would be able to find a solution in a month instead of a year and save her".
At least from my naive perspective, once it has access to the internet it gains the ability to become highly decentralized, in which case the "off" switch becomes much more difficult to hit.
But for the "off" switch question specifically, a superintelligence could also have "persuasion" and "salesmanship" as an ability. It could start saying things like "wait no, that's actually Russia that's creating that massive botnet, you should do something about them", or "you know that cancer cure you've been looking for for your child? I may be a cat picture AI but if I had access to the internet I would be able to find a solution in a month instead of a year and save her".
At least from my naive perspective, once it has access to the internet it gains the ability to become highly decentralized, in which case the "off" switch becomes much more difficult to hit.