No two people ever have the same set of information. And very few cases are even as clean as the coin case. A more typical example is using polls to predict el

No two people ever have the same set of information. And very few cases are even as clean as the coin case. A more typical example is using polls to predict elections. 538's model ended with Biden around 90% to win. Andrew Gelman's model at the Economist ended with Biden around 95%. Do either of those represent objective probabilities? Or take weather predictions. Per https://www.metaculus.com/questions/4617/will-2020-be-the-warmest-year-on-record/#comment-46010 https://www.metaculus.com/questions/4617/will-2020-be-the-wa..., Berkeley Earth gives a 16% chance to something that NOAA gives 29.2% to. Is either of those an objective probability? I would say no, and I think that just because two people happen to agree on a number in a particular case doesn't make it objective. If you want to use the word objective, I don't have any particular objection. I'm not here to fight over words, and none of these words are really well defined enough to be worth fighting over. I don't think it's useful to think of probabilities as "real" in any sense.