The expressivity is there, the only question is how to encode useful functions into those weights, especially when we don’t know how to write those functions by hand.
Or yeah if it can modify its own weights sensibly, which feels ... impossible really.
To be fair, go back five years and most of the LLM stuff seemed impossible. Maybe with LoRA (Low-rank adaptation) and some imagination, in another five years self-improving models will be the new normal.
In a couple thousand years it'll return to Earth and either destroy us or solve all humanity's problems (maybe both).
What's the difference?
Give it some serious thought. Challenge whichever answer you come up with. I guarantee this will be trickier than you think