Probability, Necessity, and Infinity

Quentin Meillassoux, "Potentiality and Virtuality":

"We have at our disposal the means to reformulate Hume's problem without abandoning the ontological perspective in favour of the epistemic perspective largely dominant today. Beginning to resolve the problem of induction comes down to delegitimating the probabilistic reasoning at the origin of the refusal of the contingency of laws. More precisely, it is a matter of showing what is fallacious in the inference from the contingency of laws to the frequency (and thus the observability) of their changing. This amounts to refusing the application of probability to the contingency of laws, thereby producing a valuable conceptual distinction between contingency understood in this radical sense and the usual concept of contingency conceived as chance subject to the laws of probability. Given such a distinction, it is no longer legitimate to maintain that the phenomenal stability of laws compels us to suppose their necessity."