Leibniz’s Law (or as it sometimes called, ‘the Indiscerniblity of Identicals’) is a widely accepted principle governing the notion of numerical identity. The principle states that if a is identical to b, then any property had by a is also had by b. Leibniz’s Law may seem like a trivial principle, but its apparent consequences are far from trivial. The law has been utilised in a wide range of arguments in metaphysics, many leading to substantive and controversial conclusions. This article (...) discusses the applications of Leibniz’s Law to arguments in metaphysics. It begins by presenting a variety of central arguments in metaphysics which appeal to the law. The article then proceeds to discuss a range of strategies that can be drawn upon in resisting an argument by Leibniz’s Law. These strategies divide into three categories: (i) denying Leibniz’s Law; (ii) denying that the argument in question involves a genuine application of the law; and (iii) denying that the argument’s premises are true. Strategies falling under each of these three categories are discussed in turn. (shrink)

An encyclopedia entry which covers various revisionary conceptions of which macroscopic objects there are, and the puzzles and arguments that motivate these conceptions: sorites arguments, the argument from vagueness, the puzzles of material constitution, arguments against indeterminate identity, arguments from arbitrariness, debunking arguments, the overdetermination argument, and the problem of the many.

A philosophical standard in the debates concerning material constitution is the case of a statue and a lump of clay, Goliath and Lumpl, respectively. According to the story, Lumpl and Goliath are coincident throughout their respective careers. Monists hold that they are identical; pluralists that they are distinct. This paper is concerned with a particular objection to pluralism, the Grounding Problem. The objection is roughly that the pluralist faces a legitimate explanatory demand to explain various differences she alleges between Lumpl (...) and Goliath, but that the pluralist’s theory lacks the resources to give any such explanation. In this paper, I explore the question of whether there really is any problem of this sort. I argue (i) that explanatory demands that are clearly legitimate are easy for the pluralist to meet; (ii) that even in cases of explanatory demands whose legitimacy is questionable the pluralist has some overlooked resources; and (iii) there is some reason for optimism about the pluralist’s prospects for meeting every legitimate explanatory demand. In short, no clearly adequate statement of a Grounding Problem is extant, and there is some reason to believe that the pluralist can overcome any Grounding Problem that we haven’t thought of yet. (shrink)

Monists about material constitution typically argue that when Statue is materially constituted by Clay, Statue is just Clay. Pluralists about material constitution deny that constitution is identity: Statue is not just Clay. When Clay materially constitutes Statue, Clay is not identical to Statue. I discuss three familiar puzzles involving grounding, overdetermination and conceptual issues, and develop three new puzzles stemming from the connection between mereological composition and material constitution: a mereological puzzle, an asymmetry puzzle, and a structural puzzle.

It seems to be a platitude of common sense that distinct ordinary objects cannot coincide, that they cannot fit into the same place or be composed of the same parts at the same time. The paradoxes of coincidence are instances of a breakdown of this platitude in light of counterexamples that are licensed by innocuous assumptions about particular kinds of ordinary object. Since both the anticoincidence principle and the assumptions driving the counterexamples flow from the folk conception of ordinary objects, (...) the paradoxes threaten this conception with inconsistency. Typical approaches to the paradoxes reject the anticoincidence principle or some portion of the assumptions driving the counterexamples, thereby partially revising our common conception of the world around us. This essay offers a compatibilist solution to the paradoxes that sustains the folk conception of ordinary objects in its entirety. According to this solution, the various cases of distinct coincidents do not clash with the anticoincidence principle since the cases and the principle manifest different yet compatible perspectives on the world. (shrink)

An overview of contemporary part-whole theories, with reference to both their axiomatic developments and their philosophical underpinnings.

I discuss puzzles involving coinciding material objects (such as statues and their constitutive lumps of clay) and propose solutions.

Are materially constituted entities, such as statues and glasses of liquid, something more than their material constituents? The puzzle that frames this paper stems from conflicting answers to this question. At the core of the paper is a distinctive way of thinking about material constitution that posits two concepts of constitution, compositional and ampliative constitution, with the bulk of the discussion devoted to developing distinct analyses for these concepts. Distinguishing these concepts solves our initial puzzle and enriches the space of (...) possibilities for constitution views. (shrink)

I defend my paper ‘The Non-identity of a Material Thing and Its Matter’ against objections from Bryan Frances and Jeffrey King.

The puzzle of material constitution can be expressed in at least two ways. First, how can the constituting object and the constituted object, which are materially and spatially coincident, be regarded as different objects? Second, how can the constituting object and the constituted object, which are qualitatively distinct, be regarded as identical objects? Monists argue that the constituting and constituted objects are identical since they are materially and spatially coincident and the property differences between then are simply differences in description, (...) perspective or context. In contrast, pluralists argue that the constituting and constituted objects are not identical even if they are materially and spatially coincident since they are qualitatively distinct. This paper proposes a solution to the puzzle of material constitution called ‘Fregean Monism’ (FM), and shows that it can better account for the property differences between the constituting and constituted objects without the need to regard them as two distinct objects. On the FM view, the puzzle of material constitution is partly a semantic puzzle and partly a metaphysical puzzle, and shows how a solution to the semantic part of the puzzle, based on the Fregean distinction between sense and reference, can yield a satisfactory solution to the metaphysical part of the puzzle. The key idea is that while the reference of a term picks out both the referent object and referent properties, the sense of the term determine which referent properties are picked out. (shrink)

There appear to be multifunctional artefacts of a type such that none of their functions can be attributed only to some proper part of the artefact. I use two examples of allegedly multifunctional artefacts of this kind in what follows, one due to Lynne Rudder Baker (aspirin) and another of my own (a spork). The two examples are meant to make the same point. I discuss her aspirin example, since its discussion has entered the literature, but without its being dealt (...) with satisfactorily. My example is, I believe, more intuitive than that of aspirin, which Baker introduced in her response to a challenge to her views, and so I will mostly rely on my example of a spork, especially at the end of the paper, to make my case. -/- I argue that in at least those two cases, if the standard arguments for distinguishing between an object and what constitutes it are sound, an argument showing that what we might have taken to be a single multifunctional object is in fact a case of multiple single-function artefacts which collocate. Or almost. There is one further assumption needed for these cases, beyond what the constitution cases require, and I produce reasons for accepting that assumption. (shrink)

Many philosophers accept the view that, when one object constitutes a second, the two objects can be entirely in the same place at the same time. But what of two objects such that neither constitutes the other? Can they be collocated? If there can be such a pair of objects, they would have to share the same material constituents. To show that there are two collocated objects and not just one object at a specific time and place, one has to (...) show that one of the objects has some property that the other fails to have. I claim that the properties I use in my example are legitimate substitution instances in the Law of the Indiscernibility of Identicals. I offer a metaphysically possible example that illustrates such collocation, a possible case from ‘raw nature’, two trees. (shrink)

I consider a problem that arises in connection with cases of coincident objects and that affects the two main accounts that have been given of such cases, namely, Pluralism and Monism. The problem is that both views seem committed to accepting strained interpretations of some of the statements used to describe the situation. I consider Pickel’s arguments against the Pluralist’s strategy of interpreting ‘is’ as expressing constitution in sentences such as ‘The statue is the lump of clay’, and provide reasons (...) for rejecting them—so as to vindicate, eventually, the Pluralist position. (shrink)

A new puzzle about material constitution is presented and its implications are discussed. The moral of the story is that familiar intuitions supporting a neo-Aristotelian view of the material world are contradictory. To accommodate these intuitions is to embrace inconsistency. Therefore, neo-Aristotelianism is worse off for its intuitive appeal. Furthermore, the puzzle is used to argue for an account of ordinary modal thought and language that’s reconstructive, or ameliorative.

Debates about material coincidence tend to start with common-sense intuitions but quickly leave them behind and lead to highly problematic conclusions. Reconciling the latter with common sense is the next stage in the process, which often requires revision of some of the initial beliefs and has been used to adjudicate many rather abstract and technical proposals in the metaphysics of composition and persistence, ranging from natural (constitutionalism) to radical (nihilism). -/- I have no disagreement with this overall strategy: theories do (...) need to turn abstract at some point, move beyond common sense, and eventually force upon us interesting, novel, and often counterintuitive revisions in our overall conceptual scheme. This applies to all theoretical areas, and contemporary metaphysics is no exception. But while the latter is widely regarded as being quite extreme in this respect, I want to argue that, in one sense, it is not extreme enough. I do it by developing a new case of material coincidence that is initially motivated not by common sense but by physical considerations, and is not susceptible to any of the standard solutions. -/- One lesson of science is its ability to expand our imagination beyond the limits of common sense. This may have importance for metaphysics too. (shrink)

An annotated bibliography of important works on material constitution.

The pluralist about material constitution maintains that a lump of clay is not identical with the statue it constitutes. Although pluralism strikes many as extravagant by requiring distinct things to coincide, it can be defended with a simple argument. The monist is less well off. Typically, she has to argue indirectly for her view by finding problems with the pluralist's extravagance. This paper offers a direct argument for monism that illustrates how monism about material constitution is rooted in commonsense as (...) reflected in linguistic practice. In particular, I argue that everyday judgements that are contrastive like "The statue is beautiful for a lump of clay" entail the identity of the statue and the clay. (shrink)

The aim of natural language ontology is to uncover the ontological categories and structures that are implicit in the use of natural language, that is, that a speaker accepts when using a language. This article aims to clarify what exactly the subject matter of natural language ontology is, what sorts of linguistic data it should take into account, how natural language ontology relates to other branches of metaphysics, in what ways natural language ontology is important, and what may be distinctive (...) of the ontological categories and structures reflected in natural language. (shrink)

The idea that two objects can coincide—by sharing all their proper parts, or matter—yet be non-identical, results in the “Problem of Coincident Objects”: in what relation do objects stand if they are not identical but share all their proper parts? One solution is to introduce material constitution. In this paper, I argue that this is ad hoc since, first, this solution cannot be generalized to solve similar problems, and, second, there are pseudo cases of coincidence that should not trigger the (...) introduction of material constitution and these cannot be distinguished in any principled way from the allegedly real cases of coincidence. (shrink)

The statue and the lump of clay that constitutes it fail to share all of their kind and modal properties. Therefore, by Leibniz’s Law, the statue is not the lump. Question: What grounds the kind and modal differences between the statue and the lump? In virtue of what is it that the lump of clay, but not the statue, can survive being smashed? This is the grounding problem. Now a number of solutions to the grounding problem require that we substantially (...) revise our view of reality. In this paper, I provide a solution to this problem that does not require such a revision. I then show how my solution to the grounding problem can solve a related problem and answer a related question. The upshot is that the solution I offer is not only non-revisionary, but also fruitful. (shrink)

I defend the view that ordinary objects like statues are identical to the pieces of matter from which they are made. I argue that ordinary speakers assert sentences such as ‘this statue is a molded piece of clay’. This suggests that speakers believe propositions which entail that ordinary objects such as statues are the pieces matter from which they are made, and therefore pluralism contradicts ordinary beliefs. The dominant response to this argument purports to find an ambiguity in the word (...) ‘is’, such that ‘is’ in these sentences means the same as ‘constitutes or is constituted by’. I will use standard tests for ambiguity to argue that this strategy fails. I then explore and reject other responses to the argument. (shrink)