So, it sounds like you are suggesting that we can back out all that data, change our hypothesis and prior, and then read the data back in. In theory, yes. But sometimes we don’t even remember the data that brought us to where we are now. Hence the desirability of a trick. Is there an updating-with-new-hypothesis rule to match Bayes’s updating-with-new-evidence rule?
So, it sounds like you are suggesting that we can back out all that data, change our hypothesis and prior, and then read the data back in. In theory, yes. But sometimes we don’t even remember the data that brought us to where we are now. Hence the desirability of a trick. Is there an updating-with-new-hypothesis rule to match Bayes’s updating-with-new-evidence rule?