Evidential Asymmetry, Scientific Confirmation of Prayer, and Horrific Evils

1. The General CaseOne of the most important (and equally most often forgotten) lessons that Bayes's Theorem can teach us about evidence is that the strength of evidence is a ratio. To be precise, let H1 and H2 be rival explanatory hypotheses, B be the relevant background information, and E be the evidence to be explained. Now consider the following ratio: Pr(E | B & H1) ----------------- Pr(E | B & H2) If Pr(E | B & H1) > Pr(E | B & H2), then this ratio is greater … [Read more...]