highlights difficulties with their directionality. Such problems offer clear motivation for attempting to reduce relations to monadic properties. By contrast, ontic structural realists hold that the nature of physical reality is exhausted by the relational structure expressed in the equations of fundamental physics. On this view, there must be some irreducible relations, for its fundamental ontology is purely relational. The Metaphysics of Relations draws together the work of a team of leading metaphysicians, to address topics as diverse as ancient and medieval reasons for scepticism about polyadic properties; recent attempts to reduce causal and spatiotemporal relations; recent work on the directionality of relational properties; powers ontologies and their associated problems; whether the most promising interpretations of quantum mechanics posit a fundamentally relational world; and whether the very idea of such a world is coherent. From those who question whether there are
relational properties at all, to those who hold they are a fundamental part of reality, this book covers a broad spectrum of positions on the nature and ontological status of relations, from antiquity to the present day.
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