Relational properties: definition, reduction, and states of affairs

This paper defines relational properties and argues for their reducibility in a, broadly speaking, Armstrongian framework of state of affairs ontology and truthmaking. While Armstrong's own characterisation and reduction of them arguably is the best one available in the literature of this framework, it suffers from two main problems. As will be shown, it neither defines relational properties very clearly (if at all), nor provides an adequate conception of their reduction. This paper attempts to remedy this situation in four steps. First, it introduces relational properties and why they matter in metaphysics in general. Second, by briefly comparing and contrasting them with extrinsic properties, and by briefly mapping them onto a tripartite division of relations, the particular kinds of relevant relational properties are identified. Third, it classifies relational properties and thereby makes possible an apt definition of them. Finally, using the notion of truthmaking, it outlines a more satisfactory case for their reduction.