SIA can be considered (IMO more naturally) as randomly sampling you from “observers in your epistemic situation”, so it’s not so much “increasing the prior” but rather “caring about the absolute number of observers in your epistemic situation” rather than “caring about the proportion of observers in your epistemic situation” as SSA does.
This has the same end result as “up-weighting the prior then using the proportion of observers in your epistemic situation”, but I find it to be much more intuitive than that, as the latter seems to me to be overly circuitous by multiplying by population then dividing by population (as part of taking the proportion of the reference class that you comprise), rather than just taking the number we care about (number of observers in your epistemic situation) in the first place.
SIA can be considered (IMO more naturally) as randomly sampling you from “observers in your epistemic situation”, so it’s not so much “increasing the prior” but rather “caring about the absolute number of observers in your epistemic situation” rather than “caring about the proportion of observers in your epistemic situation” as SSA does.
This has the same end result as “up-weighting the prior then using the proportion of observers in your epistemic situation”, but I find it to be much more intuitive than that, as the latter seems to me to be overly circuitous by multiplying by population then dividing by population (as part of taking the proportion of the reference class that you comprise), rather than just taking the number we care about (number of observers in your epistemic situation) in the first place.