I think you are missing some things that are quite basic: essentially no one believes in things like the Mathematical Universe on the basis of empiricism or induction. Instead, Occams razor is the major factor.
Note that by things like MUH include MWI. It is straightforwardly impossible to prove MWI or any other interpretation on the basis of evidence, because they make the same predictions. So the argument given for MWI is in terms of simplicity and consilience.
Not many people here reject all reasoning of that type. Many reject it selectively.
The simplicity criterion means MUH is preferable to CUH, since CUH has an additional constraint.
I think you are missing some things that are quite basic: essentially no one believes in things like the Mathematical Universe on the basis of empiricism or induction. Instead, Occams razor is the major factor.
Note that by things like MUH include MWI. It is straightforwardly impossible to prove MWI or any other interpretation on the basis of evidence, because they make the same predictions. So the argument given for MWI is in terms of simplicity and consilience.
Not many people here reject all reasoning of that type. Many reject it selectively.
The simplicity criterion means MUH is preferable to CUH, since CUH has an additional constraint.