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Full Idea
The best systems theory (of Mill-Ramsey-Lewis) says that laws are not seen as regularities but, rather, as those things from which regularities - or rather, the whole world history including the regularities and everything else - can be derived.
Gist of Idea
The best systems theory says regularities derive from laws, rather than constituting them
Source
Stephen Mumford (Laws in Nature [2004], 03.4)
Book Ref
Mumford,Stephen: 'Laws in Nature' [Routledge 2006], p.42
A Reaction
Put this way, the theory invites questions about ontology. Regularities are just patterns in physical reality, but axioms are propositions. So are they just features of human thought, or do these axioms actuallyr reside in reality. Too weak or too strong.