Stage theorists invoke the idea of counterpart relations to make sense of how objects are able to persist despite their claim that an object is identical with a single instantaneous stage. According to stage theorists, an object persists if and only if it has a later counterpart that bears the appropriate counterpart relation of identity to it. Whilst objects can and do persist, stages cannot and do not. This seems to amount to a refutation of Leibniz’s law. Stage theorists think (...) that the nature of the counterpart relation invoked depends on how it is that the object is referred to. In this paper, I argue that the context sensitivity that they invoke here gives stage theorists a response to the Leibniz’s Law Problem. (shrink)

Mainstream metaphysics has been preoccupied by inquiring into the nature of major kinds of entities, like objects, properties and events, while avoiding minor entities, like shadows or holes. However, one might want to hope that dealing with such minor entities could be profitable for even solving puzzles about major entities. I propose a new ontological puzzle, the Shadow of Constitution Puzzle, incorporating the old puzzle of material constitution, with shadows in the role of the minor entity to guide our approach (...) to the issues involved. I then analyze the standard answers to the original puzzle of constitution, in their role as potential solutions to the new puzzle. Finally, I discuss three views that can solve the proposed puzzle. (shrink)

The ‘paradoxes of coincidence’ are generally taken as an important factor for deciding between rival views on persistence through time. In particular, the ability to deal with apparent cases of temporary coincidence is usually regarded as a good reason for favouring perdurantism (or ‘four-dimensionalism’) over endurantism (or ‘three-dimensionalism’). However, the recent work of Gilmore ( 2007 ) and McGrath ( 2007 ) challenges this standard view. For different reasons, both Gilmore and McGrath conclude that perdurantism does not really obtain support (...) from the puzzles of temporary coincidence. In this paper, I will evaluate their arguments and defend the opposite view: that the paradoxes of coincidence do give some support to perdurantism. However, the way in which they do so is rather unexpected. As we will see, there are different ways in which coincidence scenarios may be thought to support perdurantism, some of which have not yet been sufficiently explored. Thus, my immediate goal is to explore one of those directions, bringing into focus a new argument from coincidence to perdurantism. And although I motivate my discussion by examining the arguments in the work of Gilmore and McGrath, the merits of this argument can be independently assessed. More generally, my overall purpose is to contribute to our general understanding of how the topics of coincidence and persistence bear on each other. (shrink)

This article discusses recent work in metaphysics on temporal parts. After a short introduction introducing the notion of a temporal part, we examine several well‐known arguments for the view that ordinary material objects such as tables, trees, and persons have temporal parts: (1) positing temporal parts makes it possible to solve puzzles of coincidence (e.g., the statue/lump puzzle); (2) positing temporal parts makes it possible to solve the problem of intrinsic change over time; and (3) the existence of temporal parts (...) can be demonstrated based on considerations about vagueness in composition. We conclude by examining briefly a recent argument that the dispute over whether there are temporal parts is merely verbal. (shrink)

We discuss some recent work by Tim Maudlin concerning Black Hole Information Loss. We argue, contra Maudlin, that there is a paradox, in the straightforward sense that there are propositions that appear true, but which are incompatible with one another. We discuss the significance of the paradox and Maudlin's response to it.

The cohabitation theory is a popular solution to the problem of personal fission. It affirms that all the people who result from fission were there cohabiting the pre-fission body all along. Adopting this solution is an uncontroversial move for four-dimensionalists, but is it open to three-dimensionalists too? Some have thought so, but Katherine Hawley, Mark Johnston, and Eric Olson have argued to the contrary. They claim three-dimensionalists simply cannot be cohabitation theorists. In this paper, I explain how they can.

Roughly speaking, perdurantism is the view that ordinary objects persist through time by having temporal parts, whilst endurantism is the view that they persist by being wholly present at different times. (Speaking less roughly will be important later.) It is often thought that perdurantists have an advantage over endurantists when dealing with objects which appear to coincide temporarily: lumps, statues, cats, tail-complements, bisected brains, repaired ships, and the like. Some cases – personal fission, for example – seem to involve temporary (...) coincidence between objects of the same kind. Other cases – a cat and its flesh, a statue and its lump – seem to involve objects of different kinds. (shrink)

This paper aims to make headway on two related issues—one methodological, the other substantive. The former concerns cost–benefit analyses when applied to metaphysical theory choice. The latter concerns material coincidence, i.e., multiple objects occupying the same space at the same time, such as the statue and the clay from which it’s made. The issues are entwined as many reject coincidence on the grounds that it’s costly. I argue this judgment is unjustified. More generally, I set out and defend a framework (...) for the use of cost–benefit analyses in metaphysics. The framework employs a fourfold division of pretheoretical costs and benefits, and theoretical costs and benefits. Yet these do not hold equal weight. Instead I argue that the appeal to theoretical benefits is illegitimate if the theory in question cannot first account for the relevant evidence or data, including, crucially, certain bits of pretheoretical or common knowledge. This is crucial because I not only argue that material coincidence is consistent with common sense, against what is widely believed, but that coincidence may even be a feature or implication of the common sense view. Put together, the result is that accepting an anti-coincidence theory for its putative theoretical virtues at the expense of common sense is an improper usage of the cost–benefit methodology. I instead conclude that material coincidence should be accepted with equanimity—which, after all, is free. (shrink)

I explicate and defend a non-standard theory of persistence, which I calltransdurantism. In short, transdurantism is the view is that objects persist by being temporally extended simples. Transdurantism is sometime misrepresented as a version of endurantism. Other times, transdurantism is misrepresented as a version of perdurantism. But I argue transdurantism must be disambiguated from perdurantism and endurantism—when endurantism, perdurantism, and transdurantism are properly construed, transdurantism stands apart from the other theories of persistence and we can better understand the distinct burdens (...) they each bear. I also argue that the transdurantist is capable of handling several key problems found in the persistence literature at least as well as her rivals, but she does face her own unique challenges. (shrink)

This paper distinguishes bruteness from fundamentality by developing a theory of stochastic grounding that makes room for non-fundamental bruteness. Stochastic grounding relations, which only underwrite incomplete explanations, arise when the fundamental level underdetermines derivative levels. The framework is applied to fission cases, showing how one can break symmetries and mitigate bruteness whilst avoiding arbitrariness and hypersensitivity.

An annotated bibliography of important works on material constitution.

Endurantism, the view that material objects are wholly present at each moment of their careers, is under threat from supersubstantivalism, the view that material objects are identical to spacetime regions. I discuss three compromise positions. They are alike in that they all take material objects to be composed of spacetime points or regions without being identical to any such point or region. They differ in whether they permit multilocation and in whether they generate cases of mereologically coincident entities.

An introduction to the theories of endurantism and perdurantism, and persistence more broadly.