Shane wrote: > Two systems are fundamentally equivalent if it's possible for them to > simulate each other given any finite amount of resources. They are > fundamentally different if this is impossible no matter how much > resource is made available. Clearly this is a very deep and > fundamental difference between two classes of systems as they can > never be equivalent in either theory or practice. > > A finer distinction is the one you raise: can two systems ever be > equivalent given only realistic resources? > > Clearly the former concept is more fundamental than the second one > as the former is an absolute while the latter is a more refined > matter of degree.
Well, I think that's an interesting value judgment! Basically, the question is whether physical or mathematical reality is more fundamental. Your vote is with mathematical reality. Not surprising ;-) > I don't really mind you calling the latter "fundamental" so long > as I know what you mean. yeah, we understand each other OK It's that Wang dude I'm worried about ;-) -- Ben ------- To unsubscribe, change your address, or temporarily deactivate your subscription, please go to http://v2.listbox.com/member/?[EMAIL PROTECTED]