Not all formalizations that give the same observed predictions have the same Kolmogorov complexity[.]
Is that true? I thought Kolmogorov complexity was “the length of the shortest program that produces the observations”—how can that not be a one place function of the observations?
Yes. In so far as the output is larger than the set of observations. Take MWI for example- the output includes all the parts of the wavebranch that we can’t see. In contrast, Copenhagen only has outputs that we by and large do see. So the key issue here is that outputs and observable outputs aren’t the same thing.
Is that true? I thought Kolmogorov complexity was “the length of the shortest program that produces the observations”—how can that not be a one place function of the observations?
Yes. In so far as the output is larger than the set of observations. Take MWI for example- the output includes all the parts of the wavebranch that we can’t see. In contrast, Copenhagen only has outputs that we by and large do see. So the key issue here is that outputs and observable outputs aren’t the same thing.
Ah, fair. So in this case, we are imagining a sequence of additional observations (from a privileged position we cannot occupy) to explain.