It seemed to me that the way Tegmark had put it, level IV is meta-closed: any consistent map of (even possibly eventually inconsistent) maps is still just a consistent map in level IV; it doesn’t have to model any particular territory, it just has to be a mathematical “structure”. Maybe you’re saying that this is actually in level V and my view of level IV is too inclusive (but I think Tegmark would disagree with you, see esp. appendix A of his original paper), or maybe I missed your point altogether.
It’s not even clear that there would be a notion of an “agent” in every level IV universe (in fact I’d say it’s clear that this is NOT the case), so I think the idea of a worldline between them would not be well-defined. Nevertheless, I’m fine with non-standard uses of terms if it helps communicate the idea you have after you’ve clarified your usage of them (but don’t canonize independently in an already nebulous territory!), but I’m having some trouble with that.
So can you clarify what you mean, particularly by level IV? (reasonably precise english is fine :P)
ETA: Okay, given your Mathematical Mindset post, I’m doubly fine with your redefinition, but I still want it :3
I’m a little confused.
It seemed to me that the way Tegmark had put it, level IV is meta-closed: any consistent map of (even possibly eventually inconsistent) maps is still just a consistent map in level IV; it doesn’t have to model any particular territory, it just has to be a mathematical “structure”. Maybe you’re saying that this is actually in level V and my view of level IV is too inclusive (but I think Tegmark would disagree with you, see esp. appendix A of his original paper), or maybe I missed your point altogether.
It’s not even clear that there would be a notion of an “agent” in every level IV universe (in fact I’d say it’s clear that this is NOT the case), so I think the idea of a worldline between them would not be well-defined. Nevertheless, I’m fine with non-standard uses of terms if it helps communicate the idea you have after you’ve clarified your usage of them (but don’t canonize independently in an already nebulous territory!), but I’m having some trouble with that.
So can you clarify what you mean, particularly by level IV? (reasonably precise english is fine :P)
ETA: Okay, given your Mathematical Mindset post, I’m doubly fine with your redefinition, but I still want it :3