In “Invariances” picture 1 doesn’t have any letter outcomes. In picture 2 there are outcomes a,b,c,d,e,f. However if one had a,b and not c,d,e,f (but instead bar and hug) then the tree would look symmetrical. It feels like the argument is assuming that if we have different level of possible detail level the detail is approximately equal across the modeled universe. It would seem if one has a more detailed (“gear level”) model of one part and more approximate (“here be dragons”) kind of model for another one, the importance of the understood part will overwhelm.
In “Invariances” picture 1 doesn’t have any letter outcomes. In picture 2 there are outcomes a,b,c,d,e,f. However if one had a,b and not c,d,e,f (but instead bar and hug) then the tree would look symmetrical. It feels like the argument is assuming that if we have different level of possible detail level the detail is approximately equal across the modeled universe. It would seem if one has a more detailed (“gear level”) model of one part and more approximate (“here be dragons”) kind of model for another one, the importance of the understood part will overwhelm.
Yeah, that’s right. (That is why I called it the “start” of a theory on invariances!)
I think that’s an interesting frame which I’ll return to when I think more about agents planning over an imperfect world model.