The problem is to come up with a general decision algorithm that both works (in the sense of making the right decisions) and (if possible) makes epistemic sense.
I presented a solution in a comment here which I think satisfies these: It gives the right answer and consistently handles the case of “partial knowledge” about one’s intersection, and correctly characterizes your epistemic condition in the absent-minded case.
I presented a solution in a comment here which I think satisfies these: It gives the right answer and consistently handles the case of “partial knowledge” about one’s intersection, and correctly characterizes your epistemic condition in the absent-minded case.