I believe that the Occamian prior should hold true in any universe where the laws of probability hold. I don’t see any reason why not, since the assumption behind it is that all the individual levels of complexity of different models have roughly the same probability.
I suspect that to you “Occam’s Razor” refers to this law (I don’t think that’s the usual interpretation, but it’s reasonable). However this law does not make a prior. It does not say anything about whether we should prefer a 6-state Turing machine to a 100-state TM, when building a model. Try using the laws of probability to decide that.
the Occamian prior should hold true
Priors don’t “hold true”, that’s a type error (or at least bad wording).
I believe that the Occamian prior should hold true in any universe where the laws of probability hold. I don’t see any reason why not, since the assumption behind it is that all the individual levels of complexity of different models have roughly the same probability.
Laws of probability say that
I suspect that to you “Occam’s Razor” refers to this law (I don’t think that’s the usual interpretation, but it’s reasonable). However this law does not make a prior. It does not say anything about whether we should prefer a 6-state Turing machine to a 100-state TM, when building a model. Try using the laws of probability to decide that.
Priors don’t “hold true”, that’s a type error (or at least bad wording).
That is indeed what it means in my mind.
I agree that it was bad wording. Perhaps something more along the lines of “should work well.”