Considers whether probability theory offers a way round Hume's argument, as has sometimes been contended. There are theorems of formal probability theory that appear to show that suitable evidence must increase the probability of the predicting theory, though when these theorems are examined they are all seen to have substantive assumptions, usually that some putative law has non-zero prior probability. As such, they merely corroborate Hume's thesis that any inductive argument will contain explicitly or implicitly at least one inductive premise.
Keywords: grue, induction theorems, Karl Popper, prior probability, probabilism, probability theory