Philosopher Michael P. Levine writes a bit eccentrically about miracles but he also has some incisive things to say. For people who think David Hume’s arguments against miracles are obsolete and should be ignored, Levine says, “The locus classicus for modern and contemporary philosophical discussion of miracles is Chapter X (‘Of Miracles’) of David Hume’s Enquiries.”[1] [“Locus classicus is a Latin term used in literature, law, and other academic fields. It refers to the original or most authoritative passage or source for a particular word, phrase, concept, or idea. In other words, it is the classical or standard example that is most often cited as the definitive reference for a subject.”] So he proceeds to analyze what Hume wrote.
He tells us “there are various versions of Bayes’s theorem,” not just one, depending on the hypothesis to be resolved. With miracles they are many. He highlights John Earman’s formulation:
“The reader is invited to think of H as a hypothesis at issue; K as the background knowledge; and E as the additional evidence. Pr(H/E&K) is called the posterior probability of H. [i.e., the Probability of the Hypothesis divided by the background Knowledge]. Whereas Pr(H/K) and Pr(E/H&K) are respectively called the prior probability of H and the (posterior) likelihood of E.”[2]
Labeling this as “Hume’s argument” Levine adds:
On the interpretation of Hume’s argument given above, a Bayesian analysis sheds no light whatsoever on the structure or substance of the argument, and can do nothing by way of either supporting or refuting the argument. Indeed, any Bayesian analysis of the question of justified belief in miracles must be otiose until the difficult and essential questions concerning “evidence” in relation to an allegedly miraculous occurrence are resolved - at which point any Bayesian analysis will add little except the technical complexity of a formal apparatus that may or may not “clarify” the structure of Hume’s argument. The balancing of probabilities is of no use until it is decided what goes into the balance - that is, what constitutes the evidence.[3]
Let's Highlight the Evidence (E). This is the crucial factor regardless of one’s background knowledge (K) or priors. Regarding a Christian Bayesian analysis, Levine comments, “The idea that the Bible provides historically acceptable grounds for believing in miracles reflects a wish-fulfilling rendering of what constitutes evidence.”[4] Everything hangs on the quantity and the quality of the evidence. It’s the indispensable input, the essential element, and the non-negotiable necessity.




