Well, it wouldn't be AI, it'd be simply I, as in "I think therefore I am." but not stopping at this period.
edit: I mean, look at the SIAI; what do exactly they do right now which they couldn't do in ancient Greece? If we could reflect on our mind better, and if our mind is physical in nature, then the idea of thinking machine would've been readily apparent, yet the microchips would still require very, very long time.
By this logic we'd have discovered all there is to know about math (including computer science) by Roman times at the latest.
Are there any essays anywhere that go in depth about scenarios where AIs become somewhat recursive/general in that they can write functioning code to solve diverse problems, but the AI reflection problem remains unsolved and thus limits the depth of recursion attainable by the AIs? Let's provisionally call such general but reflection-limited AIs semi-general AIs, or SGAIs. SGAIs might be of roughly smart-animal-level intelligence, e.g. have rudimentary communication/negotiation abilities and some level of ability to formulate narrowish plans of the sort that don't leave them susceptible to Pascalian self-destruction or wireheading or the like.
At first blush, this scenario strikes me as Bad; AIs could take over all computers connected to the internet, totally messing stuff up as their goals/subgoals mutate and adapt to circumvent wireheading selection pressures, without being able to reach general intelligence. AIs might or might not cooperate with humans in such a scenario. I imagine any detailed existing literature on this subject would focus on computer security and intelligent computer "viruses"; does such literature exist, anywhere?
I have various questions about this scenario, including: