To me, this is all as silly as the Chinese Room. Naive intuition says that the Chinese Room doesn’t understand chinese in the way we do… because it doesn’t, running as it does on exponentially slower timescales. Similarly, I can close the box on my turing machine and it can, over mega-exponential timescales and using mega-exponential amounts of tape, get just as much smarter as it could by looking around and talking to people, but there are still several reasons why the latter strategy is superior.
Of course, I may just not understand what is supposed to be being demonstrated (or refuted) here. But if you’re arguing that Godel doesn’t outlaw singularities, then this is a massive non-sequitur. What you’re saying is that Godel doesn’t outlaw singularities which are r-e-a-l-l-y s-l-o-w, which seems to me to violate any useful definition of singularities. (OK, sure, it shows the wall is breached, but don’t expect it to convince any skeptics.)
To me, this is all as silly as the Chinese Room. Naive intuition says that the Chinese Room doesn’t understand chinese in the way we do… because it doesn’t, running as it does on exponentially slower timescales. Similarly, I can close the box on my turing machine and it can, over mega-exponential timescales and using mega-exponential amounts of tape, get just as much smarter as it could by looking around and talking to people, but there are still several reasons why the latter strategy is superior.
Of course, I may just not understand what is supposed to be being demonstrated (or refuted) here. But if you’re arguing that Godel doesn’t outlaw singularities, then this is a massive non-sequitur. What you’re saying is that Godel doesn’t outlaw singularities which are r-e-a-l-l-y s-l-o-w, which seems to me to violate any useful definition of singularities. (OK, sure, it shows the wall is breached, but don’t expect it to convince any skeptics.)