This is sometimes false, when there are competing hypotheses. For example, Jaynes talks about the situation where you assign an extremely low probability to some paranormal phenomenon, and a higher probability to the hypothesis that there are people who would fake it. More experiments apparently verifying the existence of the phenomenon just make you more convinced of deception, even in the situation where the phenomenon is real.
Additionally, you should have spoken of converging on the truth, rather than the “true probability,” because there is no such thing.
This is sometimes false, when there are competing hypotheses. For example, Jaynes talks about the situation where you assign an extremely low probability to some paranormal phenomenon, and a higher probability to the hypothesis that there are people who would fake it. More experiments apparently verifying the existence of the phenomenon just make you more convinced of deception, even in the situation where the phenomenon is real.
Additionally, you should have spoken of converging on the truth, rather than the “true probability,” because there is no such thing.