Though others have made the point essentially, I feel like (a) simple answer bears a simple explanation: Just imagine your hypothesis-turing-machines output (approximate) probabilistic predictions. For example, imagine you output probabilities that are fractions, over a finite portion of the input space, so that you don’t have to worry about that messy infinite continuous stuff.
Note—not sure if the exact form has the same nice properties. However the approximate form should be workable I think.
Though others have made the point essentially, I feel like (a) simple answer bears a simple explanation: Just imagine your hypothesis-turing-machines output (approximate) probabilistic predictions. For example, imagine you output probabilities that are fractions, over a finite portion of the input space, so that you don’t have to worry about that messy infinite continuous stuff.
Note—not sure if the exact form has the same nice properties. However the approximate form should be workable I think.