Vallicella’s influential work makes a case that, when formulated broadly, as a problem about unity, Bradley’s challenge to Armstrongian states of affairs is practically insurmountable. He argues that traditional relational and non-relational responses to Bradley are inadequate, and many in the current metaphysical debate on this issue have come to agree. In this paper, I argue that such a conclusion is too hasty. Firstly, the problem of unity as applied to Armstrongian states of affairs is not clearly defined; in fact, (...) it has taken a number of different forms each of which need to be carefully distinguished and further supported. Secondly, once we formulate the problem in more neutral terms, as a request for a characterization of the way that particulars, universals, and states of affairs stand to one another, it can be adequately addressed by an Armstrongian about states of affairs. I propose the desiderata for an adequate characterization and present a neo-Armstrongian defense of states of affairs that meets those desiderata. The latter relies on an important distinction between different notions of fundamentality and existential dependence. (shrink)

Anyone familiar with Russell’s work on the multiple-relation theory of judgment will at some point have puzzled over the map of the five-term understanding complex at the end of Chapter 1, Part II of his Theory of Knowledge (1913). Russell presents the map with the intention of clarifying what goes on when a subject S understands the “proposition” that A and B are similar. But the map raises more questions than it answers. In this paper I present and develop some (...) of the central issues that arise from Russell’s map, and I offer an interpretation of it that reflects his evolving views in the manuscript. I argue that multiple lines in the map are not meant to represent many relations, but rather one comprehensive multiple relation of understanding. And I argue that such a relation relates in a complex way due to the distinctive nature of its relata. (shrink)

In The Problems of Philosophy, Russell presented his famous regress argument against the nominalist denial of universals. In this paper I explore the origin of the argument in Russell and explore its relevance in contemporary metaphysical debate. I argue that a hundred years on, the argument still presents a powerful tool for realists in their debate with nominalists and trope theorists.