On the imprecision of full conditional probabilities

The purpose of this paper is to show that if one adopts conditional probabilities as the primitive concept of probability, one must deal with the fact that even in very ordinary circumstances at least some probability values may be imprecise, and that some probability questions may fail to have numerically precise answers.

Automated summary

The purpose of this paper is to highlight that when conditional probabilities are adopted as the primitive concept of probability, there may be imprecise probability values and questions that fail to have numerically precise answers, even in very ordinary circumstances.