This paper is concerned with the paradox of decrease. Its aim is to defend the answer to this puzzle that was propounded by its originator, namely, the Stoic philosopher Chrysippus. The main trouble with this answer to the paradox is that it has the seemingly problematic implication that a material thing could perish due merely to extrinsic change. It follows that in order to defend Chrysippus’ answer to the paradox, one has to explain how it could be that Theon is (...) destroyed by the amputation without changing intrinsically. In this paper, I shall answer this challenge by appealing to the broadly Aristotelian idea that at least some of the proper parts of a material substance are ontologically dependent on that substance. I will also appeal to this idea in order to offer a new solution to the structurally similar paradox of increase. In this way, we will end up with a unified solution to two structurally similar paradoxes. (shrink)

The phasalist solution to the classic puzzle of the statue and the piece of clay only works for some coincidence puzzles and not others. To address this limitation of phasalism, I develop a novel approach to coincidence puzzles that permits different kinds of coincidence puzzles to be solved in different ways, provided that each solution satisfies certain constraints inspired by the phasalist solution to the statue puzzle. I apply my approach to four different kinds of coincidence puzzles, and I argue (...) that it is no less plausible than rival approaches in the literature. (shrink)

The ancient puzzle of Dion and Theon has given rise to a surprising array of apparently implausible views. For example, in order to solve the puzzle, several philosophers have been led to deny the existence of their own feet, others have denied that objects can gain and lose parts, and large numbers of philosophers have embraced the thesis that distinct objects can occupy the same space, having all their material parts in common. In this paper, I argue for an alternative (...) approach: I claim that human beings have ordinary parts—hands, heads, feet, and so on—but no extraordinary parts, such as ‘foot-complements’, the existence of which is essential to the puzzle. I rebut three objections to this approach: an objection that it is unacceptably metaphysically arbitrary, an objection that the view is incompatible with versions of the puzzle involving decapitation, and an objection concerning masses of matter. If we can believe that there are such things as hands and feet without involving ourselves in paradox, and without accepting large numbers of co-located material objects that share all their material parts, then that is what we should do. My view is the only known alternative which allows this. (shrink)

It is hard to see why the head and other brain-containing parts of a person are not themselves persons, or at least thinking, conscious beings. Some theorists have sought to reconcile us to the existence of thinking person-parts. Others have sought to avoid them but have relied on radical theories at odds with the metaphysic implicit in ordinary ways of thinking. This paper offers a novel, conservative solution, one on which the heads and other brain-containing parts of persons do exist (...) but are neither persons, thinkers, nor conscious beings. A much briefer statement of the solution is found in section 5 of Burke 2004. (shrink)

Dion is a full-bodied man. Theon is that part of him which consists of all of him except his left foot. What becomes of Dion and Theon when Dion’s left foot is amputated? In Burke 1994, employing the doctrine of sortal essentialism, I defended a surprising position last defended by Chrysippus: that Dion survives while the seemingly unscathed Theon perishes. This paper defends that position against objections by Stone, Carter, Olson, and others. Most notably, it offers a novel, conservative solution (...) to the many-thinkers problem, a solution that enables us to accept the existence of brain-containing person-parts while denying that those person-parts are thinking, conscious beings. (shrink)

Among your closest associates is a certain human animal – a living, breathing, organism. You see it when you look in the mirror. When it is sick, you don't feel too well. Where it goes, you go. And, one thinks, where you go, it must follow. Indeed, you can make it move through sheer force of will. You bear, in short, an important and intimate relation to this, your animal. So too rest of us with our animals. Animalism says that (...) this relation is nothing short of identity. According to animalists, we do not only coincide with or constitute or inhabit or otherwise hang out with these close associates, our animals: we are them. In this article, I offer an opinionated take on what animalism might be and situate it against contemporary rivals. Then, I outline a simple case for animalism. Finally, I sketch non-standard routes for animalists to take in light of standard challenges. My goal in all of this is to open up some new avenues of animalist thinking. (shrink)

A material object is constituted by a sum of parts all of which are essential to the sum but some of which seem inessential to the object itself. Such object/sum of parts pairs include my body/its torso and appendages and my desk/its top, drawers, and legs. In these instances, we are dealing with objects and their components. But, fundamentally, we may also speak, as Locke does, of an object and its constitutive matter—a “mass of particles”—or even of that aggregate and (...) the sum of subatomic particles ‘making it up’. The “problem of material constitution” (henceforth, PMC) is generated by assuming inter alia that the members of any such pair are numerically identical, that is, that the constituted and the constituting are one and the same thing. (shrink)