 Debates on realism and anti-realism quickly spill over into questions concerning the nature of reality in general. Thus the dialetheic programme looks to metaphysical issues: if reality is dialetheic, how should the ontology of a dialetheic world be spelt out? If metaphysics should be placed (once again) at the very core of philosophy, the debate on the possibility of dialetheias occupies a central place in the core. This was, after all, Aristotle’s view, too: he decided to speak on behalf of the unconditional validity of the LNC, not in his Organon (his writings on the subject of logic), but in the Metaphysics, for this was for him an issue to be addressed ontologically, not (only) via formal logical tools. For work in dialetheic metaphysics see Priest 2014, which grounds the very unity of objects in an inconsistent theory of parthood and boundary, and applies it to classic problems such as the One and the Many, and the instantiation of universals.