You probably shouldn’t let super-exponentials into your probability assignments, but you also shouldn’t let super-exponentials into the range of your utility function. I’m really not a fan of having a discontinuous bound anywhere, but I think it’s important to acknowledge that when you throw a trip-up (^^^) into the mix, important assumptions start breaking down all over the place. The VNM independence assumption no longer looks convincing, or straightforward. Normally my preferences in a Tegmark-style multiverse would reflect a linear combination of my preferences for its subcomponents; but throw a 3^^^3 in the mix, and this is no longer the case, so suddenly you have to introduce new distinctions between logical uncertainty and at least one type of reality fluid.
My short-term hack for Pascal’s Muggle is to recognize that my consequentialism module is just throwing exceptions, and fall back on math-free pattern matching, including low-weighted deontological and virtue-ethical values that I’ve kept around for just such an occasion. I am very unhappy with this answer, but the long-term solution seems to require fully figuring out how I value different kinds of reality fluid.
You probably shouldn’t let super-exponentials into your probability assignments, but you also shouldn’t let super-exponentials into the range of your utility function. I’m really not a fan of having a discontinuous bound anywhere, but I think it’s important to acknowledge that when you throw a trip-up (^^^) into the mix, important assumptions start breaking down all over the place. The VNM independence assumption no longer looks convincing, or straightforward. Normally my preferences in a Tegmark-style multiverse would reflect a linear combination of my preferences for its subcomponents; but throw a 3^^^3 in the mix, and this is no longer the case, so suddenly you have to introduce new distinctions between logical uncertainty and at least one type of reality fluid.
My short-term hack for Pascal’s Muggle is to recognize that my consequentialism module is just throwing exceptions, and fall back on math-free pattern matching, including low-weighted deontological and virtue-ethical values that I’ve kept around for just such an occasion. I am very unhappy with this answer, but the long-term solution seems to require fully figuring out how I value different kinds of reality fluid.