Hi, Hume's constant conjunction stuff I think has nothing to do with free lunch theorems in ML (?please correct me if I am missing something?), and has to do with defining causation, an issue Hume was worried about all his life (and ultimately solved, imo, via his counterfactual definition of causality that we all use today, by way of Neyman, Rubin, Pearl, etc.).
My read on the state of public academic philosophy is that there are many specific and potentially-but-not-obviously-related issues that come up in the general topic of "foundations of inference". There are many angles of attack, and many researchers over the years. Many of them are no longer based out of official academic "philosophy departments" anymore and this is not necessarily a tragedy ;-)
The general issue is "why does 'thinking' seem to work at all ever?" This can be expressed in terms of logic, or probabilistic rea...