Music to my ears. This is what I've long suspected.
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Replying to @evantthompson
Trying to clear this up in a paper I’m currently drafting. The ergodicity assumption isn’t even a problem, in and of itself, over and above the limitations of representing organismal dynamics within a finite state space.
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Replying to @bayesianboy @evantthompson
You can be finite and still not be ergodic - this reversible cellular automaton, for example, is ergodic but probably only on time scales comparable to the lifetime of the universe.pic.twitter.com/qQmSKfBFPz
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An ergodic assumption means basically "compared to the time scales of the dynamics, the state space is small enough that the system will always revisit more-or-less the same state many times." You don't need an infinite state space for that to be violated.
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(just in case it's not obvious, I agree with your points here, I'm just expanding on them slightly.)
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Replying to @NathanielVirgo @evantthompson
Of course. The point is that the ergodicity assumptions under the FEP present a disanalogy with life. Many have pointed this out. What I think many have failed to grasp is that this presents no issue over and above the issue of representing life in a finite state space.
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The FEP represents a ‘slice of life,’ so to speak, and at a high degree of abstraction, at that. For its purposes, the ergodicity assumption is a fairly standard idealisation and unproblematic.
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Replying to @bayesianboy @NathanielVirgo
I think it's standard and problematic.
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Replying to @evantthompson @NathanielVirgo
Over and above the high degree of abstraction and the short timescales?
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Replying to @bayesianboy @NathanielVirgo
Life fundamentally involves organizational change (horizontal gene transfer, antiobiotic resistance, learning a language, learning to dance, healing from trauma). I don't see how any of this can be understood under the ergodicity assumption.
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Even on short timescales it doesn't make sense to me (e.g. rapid genetic change in bacteria, rapid alteration of identities in social interactions, etc.)
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Replying to @evantthompson @NathanielVirgo
Right, but that cannot be a problem over and above the representation of life within a finite state space. The key is novelty. Koutroufinis and Bickhard both have material on the limitations of representing life or cognition within DST.
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Further, if the constitution or boundary of the system in question is dynamic, as it is with whilrlpools, candle flames, and living systems, the FEP cannot represent that. There are many idealisations going on. It isn’t meant to address the nature and behaviour of life or
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