Beliefs can have quantitative accuracy, not binary correctness

“And that’s what I mean by putting my finger on qualitative reasoning as the source of the problem. The dichotomy between belief and disbelief, being binary, is confusingly similar to the dichotomy between truth and untruth. So let’s use quantitative reasoning instead. Suppose that I assign a 70% probability to the proposition that snow is white. It follows that I think there’s around a 70% chance that the sentence “snow is white” will turn out to be true. If the sentence “snow is white” is true, is my 70% probability assignment to the proposition, also “true”? Well, it’s more true than it would have been if I’d assigned 60% probability, but not so true as if I’d assigned 80% probability. When talking about the correspondence between a probability assignment and reality, a better word than “truth” would be “accuracy.” “Accuracy” sounds more quantitative, like an archer shooting an arrow: how close did your probability assignment strike to the center of the target?” (Eliezer Yudkowsky, Rationality)

Beliefs can have quantitative accuracy, not binary correctness