One way of supporting the latter claim is by introducing the idea of logical probability, where logical probability is a measure of the extent to which one proposition supports another (Carnap, 1962, 19–51, esp. 43–7), and then arguing (Tooley, 1977, 690–3, and 1987, 129–37) that when one is dealing with an accidental generalization, the probability that the regularity in question will obtain gets closer and closer to zero, without limit, as the number of potential instances gets larger and larger, and that this is so regardless of how large one’s evidence base is. Is it impossible, then, to j...