Ignoring Bostrom’s book on how to deal with observer selection effects (did Omega go looking for a Wrong Calculator world and report it? Did Omega go looking for an Odd World to report to you? Did Omega pick at random from all possible worlds? Did Omega roll a four-sided die to determine which world to report?)
Actually, isn’t this the very heart of the matter? In my other comment here I assumed Omega would always ask what the correct answer is if the calculator shows The Other Result; if that’s not the case everything changes.
The answer does depend on this fact, but since this fact wasn’t specified, assume uncertainty (say, Omega always appears when you observe “even” and had pasta for breakfast).
Actually, isn’t this the very heart of the matter? In my other comment here I assumed Omega would always ask what the correct answer is if the calculator shows The Other Result; if that’s not the case everything changes.
The answer does depend on this fact, but since this fact wasn’t specified, assume uncertainty (say, Omega always appears when you observe “even” and had pasta for breakfast).
Not by my understanding (but I decided to address it in a top-level comment). ETA: yes, in my updated understanding.