Erik Hoel: physical systems have astronomically many description levels, none fundamentally different

erikphoel · x · 2026-09-29

In a discussion on the scale of supervenience, Erik Hoel points to Tononi's IIT as the only research line that has seriously grappled with the issue.

On extending Marr's three layers to five, Hoel is skeptical: it is more a metaphor, since any physical system has astronomically many levels of description, none fundamentally different in kind. All are summary statistics—computation is no more fundamental than "intrinsic causal structure." By definition it cannot be, otherwise it wouldn't be supervenient: higher-level descriptions are just a function of lower-level elements, states, or operations via some mapping.

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