Genuine Modal Realism, the Humean thesis and advanced modalizing

The paper argues that Lewis’ Genuine Modal Realism, in taking the plurality of worlds to be necessarily the way it is, implies the existence of necessary connections of the sort that contradicts the Humean thesis that Lewis endorses. By endorsing, pace Divers, a non-redundancy interpretation of advanced modalizing, we gain the means to exactly state what these connections amount to.