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#4860·Knut Sondre Sæbø revised 3 days agoI think tractibility lacks the open-ended capacity to reformulate what counts as a problem, a solution, and relevant data. Creativity is (at least partially) the ability to reformulate the problem space itself, not by ironing out implications of existing theories. An AI and computational systems is already good at ironing out the implications in our language and existing knowledge systems. But that's search within a given space, not the creation of a new one. Creativity seems to work on a higher level. It's operating at the level of problem framing, which requires things like relevance. An AI can't create new relevance, because its weights are a statistical compression of what humans have already found relevant. It inherits a pre-given frame.
I might be confused about what you mean by tractible. But it seems to me that tractability can't do the work the bounty asks. Tractability is formally defined relative to a fixed problem space. But universal creativity is (at least partially) the capacity to restructure the space, to change what counts as a problem, a solution, and relevant data.
I agree that tractability is related to a given problem space, and that creativity is about reshaping the problem space, among other things. Given that I've been thinking of the problem space as the space of all explanations, I'm not sure where I stand... Maybe the "space of all explanations" framing is wrongheaded, because a mind never has any actionable knowledge of that space? We can discuss the space of all explanations in some sense, but we can't organize or describe it in any substantive way...
Also, per #4865, you helped me remember that personhood could involve intractable algorithms, but ones which only ever run with small inputs, since that can still be perfectly practical. Whether or not that means the whole person is a tractable algorithm or not, I'm not sure.
Between these points I think this is enough for you to claim the bounty, because it does argue that personhood "should not be defined in terms of tractability", per the bounty terms (italics mine, here). Tractability does not help explain personhood. Or, in any case, it doesn't seem like this line of discussion will be very fruitful (but this could itself be mistaken).