Title: On the Hyperintensions of Properties

Abstract: Hyperintensionalists encounter two serious problems that cast doubt on their view of property identity, both stem from when insufficient attention is paid to the hyperintensions of properties. The first problem is what I call the ‘Granularity Problem’. It is the problem of finding a criterion of identity for properties that can distinguish between co-intensional properties. The second problem is what I call the ‘Difference-Maker Problem’. It is the problem of determining what makes a given hyperintensional distinction between properties a non-representational difference and not merely a representational difference. In this paper, I propose a hyperintensional theory of property identity and show how it resolves each problem. After that, I consider two objections to this theory and defend it from both of them.