I don’t understand your objection. I would take “ensemble” to roughly map to what I meant by “domain”. Certainly the whole ensemble has little or no information content. You can’t really look at an ensemble from the inside, only your own universe. Does any of that clarify anything?
“far off” being determined by the Turing languages for their respective universal priors, say.
You are raising the objection that the Solomonoff prior takes the language as a parameter? True, but I’m not sure how that can be helped; in practice it amounts to only a small additive constant on program complexity, and in any case it’s not like there’s any competing theory that does the job without taking the language as a parameter. Besides, it doesn’t affect the point I was making.
You can’t really look at an ensemble from the inside, only your own universe. Does any of that clarify anything?
I think so, in the sense that I think we basically understand each other; but I’m not sure why you agree but seem uninterested in the idea that “certainly the whole ensemble has little or no information content”. Do you think that’s all there really is to say on the matter? (That sounds reasonable, I guess I just still feel like there’s more to the answer, or something.)
Well, I am interested in it in the sense that one of the things that attracted me to the multiverse theory in the first place was its marvelous economy of assumption. I’m not sure there is anything much else specifically to be said about that, though.
I don’t understand your objection. I would take “ensemble” to roughly map to what I meant by “domain”. Certainly the whole ensemble has little or no information content. You can’t really look at an ensemble from the inside, only your own universe. Does any of that clarify anything?
You are raising the objection that the Solomonoff prior takes the language as a parameter? True, but I’m not sure how that can be helped; in practice it amounts to only a small additive constant on program complexity, and in any case it’s not like there’s any competing theory that does the job without taking the language as a parameter. Besides, it doesn’t affect the point I was making.
I think so, in the sense that I think we basically understand each other; but I’m not sure why you agree but seem uninterested in the idea that “certainly the whole ensemble has little or no information content”. Do you think that’s all there really is to say on the matter? (That sounds reasonable, I guess I just still feel like there’s more to the answer, or something.)
Well, I am interested in it in the sense that one of the things that attracted me to the multiverse theory in the first place was its marvelous economy of assumption. I’m not sure there is anything much else specifically to be said about that, though.