> If an AI gets advanced enough to improve itself, it seem entirely reasonable that it would go from laughable to godlike in a week.
I see this stated a lot these days but it's not true.
You're imagining a exponential phenomenon, improvement leads to greater improvement, leading to still greater improvement, etc.
However, all exponential phenomenon require the right environment to sustain and, by their nature, consume that environment. Thus, they are inherently limited in scope and duration.
The bacteria in the Petri dish grows an exponential rate... until it reaches the edge of the dish and consumes the nutrients carefully places on it. The dynamite explodes for an instant and then stops exploding once the nitroglycerin is consumed.
Also, this is an especially unconcerning scenario because (1) we haven't seen step 1 of this process yet; (2) there's no particular reason to believe the environment necessary environment to sustain the exponential growth of AI is in place (if it is, it's random chance, and therefore very likely to fizzle out almost immediately).
This is a fine sci-fi scenario, but doesn't make sense in real life.