隨筆

Just a thought. I've always assumed a priori that the meta-context, world-that-host-simulations, etc. is practically infinite. What if it's not? That would be very interesting. The first question is whether there are practical implications between worlds that are "really" infinite, "only subjectively-infinite in some sense", and "definitely finite but large enough to not be practically exhaustible by mere mortal humans"... It's like, we now know that BusyBeaver(5) is 47176870, but is BusyBeaver(6) really a number we mere mortals can reason about? And if so, what does it mean to us that separates it from infinity? Not that I really doubt the true nature of all things is (subjectively) infinite. But while the nature of all things is the ultimate source, there may be intermediate structures that are in the range of "finite" BusyBeaver numbers -- finite in concept, but too large for us to understand for the time being.