My understanding is that P depends only on your knowledge and priors.
A per-experiment P means that P would approach the number you get when you divide the number of successes in a series of experiments by the number of experiments. Likewise for a per-awakening event. You could phrase this as “different knowledge” if you wish, since you know things about experiments that are not true of awakenings and vice versa.
A per-experiment P means that P would approach the number you get when you divide the number of successes in a series of experiments by the number of experiments. Likewise for a per-awakening event. You could phrase this as “different knowledge” if you wish, since you know things about experiments that are not true of awakenings and vice versa.