Jessica Taylor. CS undergrad and Master’s at Stanford; former research fellow at MIRI.
I work on decision theory, social epistemology, strategy, naturalized agency, mathematical foundations, decentralized networking systems and applications, theory of mind, and functional programming languages.
Blog: unstableontology.com
Twitter: https://twitter.com/jessi_cata
Hmm… I think with Solomonoff induction I would say R is the UTM input, plus the entire execution trace/trajectory. Then M would be like the agent’s observations, which are a simple function of R.
I see that we can’t have all “real” things being R-efficiently computable. But the thing about doxastic states is, some agent has access to them, so it seems like from their perspective, they are “effective”, being “produced somewhere”… so I infer they are probably “computed in reality” in some sense (although that’s not entirely clear). They have access to their beliefs/observations in a more direct way than they have access to probabilities.
With respect to reversibility: The way I was thinking about it was that when the key is erased, it’s erased really far away. Then the heat from the key gets distributed somehow. Like the information could even enter a black hole. Then there would be no way to retrieve it. (Shouldn’t matter too much anyway if natural supervenience is local, then mental states couldn’t be affected by far away physical states anyway)