Let an iterated essentialist statement be a statement of the form 'It lies in the nature of x1,x2,... that it lies in the nature of y1,y2,... that φ'. Let Iteration be the thesis that there are true iterated essentialist statements. Iteration has recently been disputed by Dasgupta (2014) and Glazier (2017). Both authors take the falsity of Iteration to be central to the explanatory role of essentialist truths. An important consequence that is not explicitly noted by them is that the (...) falsity of Iteration would entail that metaphysical necessity is not reducible to essence in the manner suggested by Fine (1994). This paper defends Iteration against these challenges, drawing attention to some features of the collective essences of properties, propositions, and logical operations that have been largely neglected in discussions about essence. (shrink)

This paper develops a novel theory of abstraction—what we call collective abstraction. The theory solves a notorious problem for noneliminative structuralism. The noneliminative structuralist holds that in addition to various isomorphic systems there is a pure structure that can be abstracted from each of these systems; but existing accounts of abstraction fail for nonrigid systems like the complex numbers. The problem with the existing accounts is that they attempt to define a unique abstraction operation. The theory of collective abstraction instead (...) simultaneously defines a collection of distinct abstraction operations, each of which maps a system to its corresponding pure structure. The theory is precisely formulated in an essentialist language. This allows us to throw new light on the question to what extent structuralists are committed to symmetric dependence. Finally, we apply the theory of collective abstraction to solve a problem about converse relations. (shrink)

I systematically defend a novel account of the grounds for identity and distinctness facts: they are all uniquely zero‐grounded. First, this Null Account is shown to avoid a range of problems facing other accounts: a relation satisfying the Null Account would be an excellent candidate for being the identity relation. Second, a plenitudinist view of relations suggests that there is such a relation. To flesh out this plenitudinist view I sketch a novel framework for expressing real definitions, use this framework (...) to give a definition of identity, and show how the central features of the identity relation can be deduced from this definition. (shrink)

According to many contemporary metaphysicians, we ought to theorize in terms of grounding because of its promise to explicate the idea of reality having a layered structure. However, a tension emerges when one combines the layered structure view with the view that higher-level facts are not reducible to lower-level facts. This tension emerges from two problems. The first problem arises from the fact that grounding explanations entail true universal generalizations. In order to satisfy this constraint, we will face serious pressure (...) to make sure the entities involved in the grounded facts are appropriately connected to the entities involved in the grounding facts, otherwise the generalizations associated with those grounding claims will come out false. However, ensuring the appropriate connections seemingly leaves no way for the non-reductivist to fully squeeze out reference to higher-level entities as we descend the levels of ground. This threatens the result that some higher-level facts must be taken as fundamental, which the non-reductivist cannot accept. -/- I argue that we can resolve the tension by taking the connections at issue to be essentially true. We can call this view essentialist non-reductivism. One significant upshot of the argument is that we can see not only that essentialist non-reductivism successfully resolves the tension, but that in principle no better solution could be offered. (shrink)