Abstract
Almost everyone agrees, under some interpretation, that a world is
nomologically accessible if and only if it obeys the laws of the base world.
This surface agreement, however, has led many to attach little importance
to different interpretations, thereby conflating two distinct concepts of
nomological accessibility. According to the Shared Law Account (hereafter SL), a target world is nomologically accessible from the base world if,
and only if, all and only the laws of the base world are laws at the target
world. The Compossible Events Account (hereafiter CE) holds that a target
world is nomologically accessible from the base world if, and only if, all
events of the target world are compossible with the laws of the base world.
After demonstrating that these accounts are distinct, I shall show that the
distinction matters. Not only is the correct modal system for nomic
necessity determined by which characterizes accessibility, but some arguments against Humean supenfenience depend upon SL. In the final section
I show that CE is the correct interpretation.