Ok! So you agree with the impossibility result, just disagree that martingale is a reasonable property in the first place.
That’s fine; just be aware of what you might be giving up. Which is that now you must update on entirely predicted observations. e.g. if duplication can happen in the middle of a conscious experience (so no sleeping required) then you might know that, for instance, you will update in the middle of an exercise routine.
Ok! So you agree with the impossibility result, just disagree that martingale is a reasonable property in the first place.
That’s fine; just be aware of what you might be giving up. Which is that now you must update on entirely predicted observations. e.g. if duplication can happen in the middle of a conscious experience (so no sleeping required) then you might know that, for instance, you will update in the middle of an exercise routine.
Yes, I have posted an example of suddenly changing rational updates with nothing unusual happening in these comments, and previously elsewhere.