Governing Laws and the Inference Problem

How do non-Humean laws govern regularities in nature? According to the Inference Problem, non-Humean accounts of governing face a central problem: it is not clear how such laws do perform their governing function. Recently, Jonathan Schaffer has argued that the introduction of a law-to-regularity axiom is sufficient to solve the Inference Problem. The authors argue that Schaffer’s solution faces a devastating dilemma: either the required axiom cannot, on its own, differentiate the non-Humean account from a Humean account of laws or, if more content is added to the primitive governing posit, it should be shown how and why the ‘outfitted’ posit obtains in the world. Furthermore, the authors show that those cases that Schaffer presents to motivate his approach are not analogous to the case of lawhood and so they cannot provide justification for his axiomatic solution.