‘From my point of view the probability for X is Y, but from his point of view at the time it would’ve been Z’. (subjective) vs ‘The Probability for X is Y’ (‘objective’).
Honestly though, frequentists use subjective probabilities all the time and you can argue that frequentism is just as subjective as bayesinism, so even that disagreement is quite muddy.
Can you please give an example of where the possible subjectivity of probabilities matter? I mean this in earnest.
‘From my point of view the probability for X is Y, but from his point of view at the time it would’ve been Z’. (subjective) vs ‘The Probability for X is Y’ (‘objective’).
Honestly though, frequentists use subjective probabilities all the time and you can argue that frequentism is just as subjective as bayesinism, so even that disagreement is quite muddy.
Can you be more concrete? When would this matter for two people trying to share a model and make predictions of future events?