Just one quick note: this formulation of Bayes’ theorem implicitly assumes that the A_j are not only mutually exclusive, but cover the entire theory space we consider—their joint probability is assigned a value of 1.
Just one quick note: this formulation of Bayes’ theorem implicitly assumes that the A_j are not only mutually exclusive, but cover the entire theory space we consider—their joint probability is assigned a value of 1.