This article intends to show that Plantinga’s criticism against Bayesianism as an account of what is involved in rationality does not apply to all forms of Bayesianism. Swinburne’s version, based on a logical theory of probability, is an example of Bayesianism not hit by Plantinga’s criticism. In addition, the article argues that the problem of dwindling probabilities – pointed out by Plantinga in Warranted Christian Belief (2000) – vanishes in a Bayesian approach. So, even if it is not a sufficient (...) account of rationality, Bayesianism helps to understand important elements of inductive reasoning, especially those relative to cumulative cases. (shrink)