Why is it unrealistic? Do you actually mean it’s unrealistic that the set I’ve defined as “A” will be interpretable at “actions” in the usual coarse-grained sense? If so I think that’s a topic for another post when I get into talking about the coarsened variables Vc,Ac,Pc,Ec…
I mean, the definition is a little vague. If your meaning is something like “It goes in A if it is more accurately described as controlled by the viscera, and it goes in P if it is more accurately described as controlled by the environment,” then I guess you can get a bijection by definition, but it is not obvious these are natural categories. I think there will be parts of the boundary that feel like they are controlled by both or neither, depending on how strictly you mean “controlled by.”
Why is it unrealistic? Do you actually mean it’s unrealistic that the set I’ve defined as “A” will be interpretable at “actions” in the usual coarse-grained sense? If so I think that’s a topic for another post when I get into talking about the coarsened variables Vc,Ac,Pc,Ec…
I mean, the definition is a little vague. If your meaning is something like “It goes in A if it is more accurately described as controlled by the viscera, and it goes in P if it is more accurately described as controlled by the environment,” then I guess you can get a bijection by definition, but it is not obvious these are natural categories. I think there will be parts of the boundary that feel like they are controlled by both or neither, depending on how strictly you mean “controlled by.”