Up until now, this is just a point of likelihood theory
By replacement for the (1), we have:
So it exemplory instance of Bayes’ Theorem works with the easy case in which you have a couple hypotheses H and you may J which can be collectively exclusive and together exhaustive, and you will in which a person is seeking \(\Pr(H \middle Age)\), which is, the possibility one to H is true considering evidence Elizabeth. Just what this exemplory case of Bayes’ Theorem does is give that which have a means of calculating that Russland bruder likelihood, provided that you to definitely knows, firstly, \(\Pr(H)\) and you can \(\Pr(J)\)-that is, the brand new good priori analytical probabilities of \(H\) and you may \(J\)-and just have, next, \(\Pr(Age \middle H)\) and you may \(\Pr(E \middle J)\)-that is, the newest logical odds of \(E\) provided, correspondingly, only \(H\) and only \(J\).
Nevertheless now Draper introduces one or two substantive claims. The first is your a beneficial priori likelihood of new hypothesis of apathy isnt lower than this new an excellent priori odds of theism, to ensure that i have
