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Kawoomba comments on Willing gamblers, spherical cows, and AIs - Less Wrong
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The more complete the models describe the underlying phenomenon, the more isomorphic all models should be (in their Occamian formulation), until eventually we're only exchanging variable names.
Yes; to check your visual acuity, you block off one eye, then open that one and block the other. To check (and improve) your conceptual acuity, you block off everything that isn't an agent, then you block of everything that isn't an algorithm, then you block of everything that isn't an institution, etc.
Unless you can hypercompute, in which case that's probably not a useful heuristic.