Looking “at the very beginning” won’t work—the beliefs of the initial state of the logical inductor won’t be good enough to sensibly detect these things and decide what to do about them.
While ignoring the coin is OK as special-case reasoning, I don’t think everything falls nicely into the bucket of “information you want to ignore” vs “information you want to update on”. The more general concept which captures both is to ask “how do I want to react to thin information, in terms of my action?”—which is of course the idea of policy selection.
Looking “at the very beginning” won’t work—the beliefs of the initial state of the logical inductor won’t be good enough to sensibly detect these things and decide what to do about them.
While ignoring the coin is OK as special-case reasoning, I don’t think everything falls nicely into the bucket of “information you want to ignore” vs “information you want to update on”. The more general concept which captures both is to ask “how do I want to react to thin information, in terms of my action?”—which is of course the idea of policy selection.