If we knew (for some reason) that a system had no useful abstractions (or at least, no small ones), what could we say about that system? Does it reduce to some vacuous thing? Or does it require it to be adversarial in nature?
It would mean that information is conserved—not just at a microscopic level, but at a macroscopic level too. Every piece of information we have about the system is always relevant to whatever predictions we want to make.
If we knew (for some reason) that a system had no useful abstractions (or at least, no small ones), what could we say about that system? Does it reduce to some vacuous thing? Or does it require it to be adversarial in nature?
It would mean that information is conserved—not just at a microscopic level, but at a macroscopic level too. Every piece of information we have about the system is always relevant to whatever predictions we want to make.