An introduction to persistence, composition, and identity.

This chapter argues that from a particularly weak recombination principle and plausible assumptions about the nature of parthood and location, it follows that it is possible that the mereological structure of the material world and that of space-time fail to correspond to one another in very radical ways. The chapter suggests, moreover, that rejecting the possibility of such failures of correspondence leaves us with a choice of no less unappealing alternatives. It also discusses a few ways in which their possibility (...) is relevant to various important debates in metaphysics. (shrink)

Slot theory is the view that (i) there exist such entities as argument places, or ‘slots’, in universals, and that (ii) a universal u is n-adic if and only if there are n slots in u. I argue that those who take properties and relations to be abundant, fine-grained, non-set-theoretical entities face pressure to be slot theorists. I note that slots permit a natural account of the notion of adicy. I then consider a series of ‘slot-free’ accounts of that notion (...) and argue that each of them has significant drawbacks. (shrink)

This paper takes a close look at the thought that mereological relations on material objects mirror, and are mirrored by, parallel mereological relations on their exact locations. This hypothesis is made more precise by means of a battery of principles from which more substantive consequences are derived. Mereological harmony turns out to entail, for example, that atomistic space is an inhospitable environment for material gunk or that Whiteheadian space is not a hospitable environment for unextended material atoms.

As is well known, Aristotelian natural philosophy, and many other systems of natural philosophy since, have relied heavily on teleology and teleological causation. Somehow, the purpose or end of an obj ect can be used to predict and explain what that object does: once you know that the end of an acorn is to become an oak, and a few things about what sorts of circumstances are conducive to the attainment of this end, you can predict a lot about the (...) sprouting of the acorn and the subsequent behaviour of the piece of vegetation that results. Once you know that a rock seeks to move towards the centre of the Earth, you gain some insight into why it falls when released, and why it deforms the carpet or foot that it lands on. Once you know that the rabbit seeks to preserve itself, you can predict it will run from the fox. And so on. There are at least three features of Aristotle’s teleology, and more generally of an Aristotelian frame of mind about teleology, that may induce suspicion. One is that an end can serve as a "cause": as well as the sort of causation we all recognize, efficient causation, there are other forms, one of which is teleological causation. However, this can look less odd if we think of causes as things that figure in "because" answers to "why" questions. Whether or not self-preservation, or the rabbit’s continued existence, or something similar, causes the rabbit to run, the reply "because it seeks to continue in existence" certainly makes sense as an answer, or part of an answer, to a question about why it ran from the fox. (At present we are only. (shrink)

This paper lays out the basic structure of any view involving coincident entities, in the light of the grounding problem. While the account is not novel, I highlight fundamental features, to which attention is not usually properly drawn. With this in place, I argue for a number of further claims: The basic differences between coincident objects are modal differences, and any other differences between them need to be explained in terms of these differences. More specifically, the basic difference is not (...) a difference in sort. A number of recent defenses of coincidence, which share the basic structure I outline, misidentify what, in their accounts, plays the basic role of addressing the grounding problem. More tentatively, I argue Coincident entities differ only in these modal properties, and properties they entail. In particular, they do not differ in properties like ‘being a tree,’ ‘being a statue,’ or aesthetic properties, and finally in light of how the account of coincidence offered addresses the grounding problem, the grounding problem provides no reason to prefer monism to pluralism. (shrink)

The article develops and extends the theory of Glenn Kessler (Frege, Mill and the foundations of arithmetic, Journal of Philosophy 77, 1980) that a (cardinal) number is a relation between a heap and a unit-making property that structures the heap. For example, the relation between some swan body mass and "being a swan on the lake" could be 4.

Do non‐symmetric relations apply to the objects they relate in an order? According to the standard view of relations, the difference between aRb and bRa obtaining, where R is non‐symmetric, corresponds to a difference in the order in which the non‐symmetric relation R applies to a and b. Recently Kit Fine has challenged the standard view in his important paper ‘Neutral Relations’ arguing that non‐symmetric relations are neutral, lacking direction or order. In this paper I argue that Fine cannot account (...) for the application of non‐symmetric relations to their relata; so far from being neutral, these relations are inherently directional. (shrink)

I believe that the world is a totality of things: there are no properties, or relations, or sets, or states of affairs, or facts, or events; there are only particular things. I also believe that all true statements can be expressed in a canonical language which includes names of things and logical terms only: there will be no predicates in this language. For what is a predicate? Some say that predicates are names of universals which individual things exemplify, or names (...) of sets of which individual things are members. If this is so, it is obvious that a nominalist's canonical language cannot have any predicates. Others say that predicates name nothing, but are satisfied by particular things. What, however, is satisfaction, and how is it different from naming? Semantic relations such as satisfaction, we are told, are not ‘in’ the world. But then a nominalist has no use for them. (shrink)

Worlds where things divide forever ("gunk" worlds) are apparently conceivable. The conceivability of such scenarios has been used as an argument against "nihilist" or "near-nihilist" answers to the special composition question. I argue that the mereological nihilist has the resources to explain away the illusion that gunk is possible.

It has been argued by some that the argument from vagueness is one of the strongest arguments in favor of the theory of temporal parts. I will neither support nor dispute this claim here. Rather, I will present a version of the argument from vagueness, which – if successful – commits one to the existence of modal parts. I argue that a commitment to the soundness of the argument from vagueness for temporal parts compels one to commit to the soundness (...) of the argument from vagueness for modal parts. I say compels, but not entails; an objection to one of the arguments highlights analogous ways to reject the other, making it difficult to endorse one and reject the other. This would be a significant conclusion, if true, since there are far fewer who currently commit themselves to modal parts than the many who currently commit themselves to temporal parts. (shrink)

I argue that Universalism (the thesis that mereological composition is unrestricted) entails Extensionalism (the thesis that sameness of composition is sufficient for identity) as long as the parthood relation is transitive and satisfies the Weak Supplementation principle (to the effect that whenever a thing has a proper part, it has another part disjoint from the first).

Philosophers of mind have not in general been very attentive to metaphysics. This book is a salutary exception to this general observation. A philosopher of mind—at least the body of her very influential work would be classified by most philosophers as belonging to the philosophy of mind—attempts to ground a theory of the relation between human persons and their bodies in an extended essay on the metaphysics of the natural world. Baker is a materialist : in her book, you and (...) I and everyone we know is a material thing. But then how are we material persons related to our bodies, which are also material things? Unlike many materialists, she rejects the following answer to this question: We are identical with our bodies. The bulk of this review is no more than a summary of her answer to the “person-body question.” My summary will use language very different from hers, since it will rely heavily on the language of parthood, and she is extremely hostile to any attempt to use the concept “part” in connection with her theory. Nevertheless, the use I make of this concept is innocuous, and my representation of her answer to the person-body question is accurate. (shrink)

This chapter takes a close look at the thought that mereological relations on material objects mirror, and are mirrored by, parallel mereological relations on their exact locations. This hypothesis is made more precise by means of a battery of principles from which more substantive consequences are derived. Mereological harmony turns out to entail, for example, that atomistic space is an inhospitable environment for material gunk or that Whiteheadian space is not a hospitable environment for unextended material atoms.

This paper is concerned with the question of the truth conditions of nomological statements. My fundamental thesis is that it is possible to set out an acceptable, noncircular account of the truth conditions of laws and nomological statements if and only if relations among universals - that is, among properties and relations, construed realistically - are taken as the truth-makers for such statements. My discussion will be restricted to strictly universal, nonstatistical laws. The reason for this limitation is not that (...) I feel there is anything dubious about the concept of a statistical law, nor that I feel that basic laws cannot be statistical. The reason is methodological. The case of strictly universal, nonstatistical laws would seem to be the simplest case. If the problem of the truth conditions of laws can be solved for this simple subcase, one can then investigate whether the solution can be extended to the more complex cases. I believe that the solution I propose here does have that property, though I shall not pursue that question here.1. (shrink)

Are a statue and the lump of clay that constitutes it one object or two? Many philosophers have answered ‘two’ because the lump seems to have properties, such as the property of being able to survive flattening, that the statue lacks. This answer faces a serious problem : it seems that nothing grounds the difference in properties between colocated objects. The statue and lump are in the same environment and inherit properties from the same composing parts. But it seems that (...) differences in properties should be grounded. For this reason, philosophers including Mark Heller, Dean Zimmerman, Theodore Sider, Trenton Merricks, and Eric Olson have rejected the answer ‘two’. -/- I offer a solution to the grounding problem, in order to revive the traditional account. I argue that extrinsic relations contribute to the supervenience base of many kinds or sorts, and these extrinsic relations ground differences between colocated objects, such as statues and lumps of clay, human beings and lumps of tissue, and planets and masses of matter. The same collection of parts can stand in more than one extrinsic relation, with each relation grounding the composition of a distinct kind of object. In cases in which this happens, the properties of each object differ from the properties of other objects that share the same parts. (shrink)

[INTRODUCTION] Like the terms 'dialectic', 'Aufhebung' (or 'sublation'), and 'Geist', the term 'concrete universal' has a distinctively Hegelian ring to it. But unlike these others, it is particularly associated with the British strand in Hegel's reception history, as having been brought to prominence by some of the central British Idealists. It is therefore perhaps inevitable that, as their star has waned, so too has any use of the term, while an appreciation of the problematic that lay behind it has seemingly (...) vanished: if the British Idealists get any sort of mention in a contemporary metaphysics book (which is rarely), it will be Bradley's view of relations or truth that is discussed, not their theory of universals, so that the term has a rather antique air, buried in the dusty volumes of Mind from the turn of the nineteenth century. This is not surprising: the episode known as British Idealism can appear to be a period that is lost to us, in its language, points of historical reference (Lotze, Sigwart, Jevons), and central preoccupations (the Absolute). Even while interest in Hegel continues to grow, interest in his Logic has grown more slowly than in the rest of his work, with Book III of the Logic remaining as the daunting peak of that challenging text - while it is here that the British Idealists focussed their attention and claimed to have uncovered that 'exotic' but 'vanished specimen', the concrete universal. Finally, as the trend of reading Hegel pushes ever further in a non-metaphysical direction, it might be thought that the future of the concrete universal is hardly likely to be brighter than its recent past - for it may seem hard to imagine how a conception championed by the British Idealists, who were apparently shameless in their metaphysical commitments, can find favour in these more austere and responsible times. In this paper, however, I want to make a case for holding that there is something enlightening to be found in how some of the British Idealists approached the 'concrete universal', both interpretatively and philosophically. At the interpretative level, I will argue that while not everything these Idealists are taken to mean by the term is properly to be found in Hegel, their work nonetheless relates to a crucial and genuine strand in Hegel's position, so that their discussion of this issue is an important moment in the reception history of his thought. At a philosophical level, I think that the question that concerned Hegel and these British Idealists retains much of its interest, as does their shared approach to it: namely, how far does our thought involve a mere abstraction from reality, and what are the metaphysical and epistemological implications if it turns out it does not? As such, I will suggest, taking seriously what these British Idealists have to say about the concrete universal can help us both in our understanding of Hegel, and in our appreciation of the contribution Hegel's position can make to our thinking on the issues that surround this topic. (shrink)

According to the Weak Supplementation Principle (WSP)—a widely received principle of mereology—an object with a proper part, p , has another distinct proper part that doesn't overlap p . In a recent article in this journal, Nikk Effingham and Jon Robson employ WSP in an objection to endurantism. I defend endurantism in a way that bears on mereology in general. First, I argue that denying WSP can be motivated apart from the truth of endurantism. I then go on to offer (...) an explanation of WSP's initial appeal, argue that denying WSP fails to have untoward consequences for the rest of mereology, and show that the falsity of WSP is consistent with a primary guiding thought behind it. (shrink)

One often hears a complaint about “bare particulars”. This complaint has bugged me for years. I know it bugs others too, but no one seems to have vented in print, so that is what I propose to do. (I hope also to say a few constructive things along the way.) The complaint is aimed at the substratum theory, which says that particulars are, in a certain sense, separate from their universals. If universals and particulars are separate, connected to each other (...) only by a relation of instantiation, then, it is said, the nature of these particulars becomes mysterious. In themselves, they do not have any properties at all. They are nothing but a pincushion into which universals may be poked. They are Locke’s “I know not what” (1689, II, xxiii, §2); they are Plato’s receptacles (Timaeus 48c–53c); they are “bare particulars”.1 Against substratum theory there is the bundle theory, according to which particulars are just bundles of universals. The substratum and bundle theories agree on much. They agree that both universals and particulars exist. And they agree that a particular in some sense has universals. (I use phrases like ‘particular P has universal U ’ and ‘particular P ’s universals’ neutrally as between the substratum and bundle theories.) But the bundle theory says that a particular is exhaustively composed of (i.e., is a mereological fusion of) its universals. The substratum theory, on the other hand, denies this. Take a particular, and mereologically subtract away its universals. Is anything left? According to the bundle theory, no. But according to the substratum theory, something is indeed left. Call this remaining something a thin particular. The thin particular does not contain the universals as parts; it instantiates them. (shrink)

The Razor commands us not to multiply entities without necessity. I argue for an alternative principle—The Laser—which commands us not to multiply fundamental entities without necessity.

I discuss an argument for the monistic idea that the cosmos is the one and only fundamental thing, drawing on the idea that the cosmos is the one and only thing that evolves by the fundamental laws.

Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?

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)

What is the relation between a clay statue andthe lump of clay from which it is made? According to the defender of the standardaccount, the statue and the lump are distinct,enduring objects that share the same spatiallocation whenever they both exist. Suchobjects also seem to share the samemicrophysical structure whenever they bothexist. This leads to the standard objection tothe standard account: if the statue and thelump of clay have the same microphysicalstructure whenever they both exist, how canthey differ in their (...) de re temporalproperties, de re modal properties and soon? In this paper I develop amereological answer to this question – thestatue and the lump differ with respect totheir parts and this explains theirdifference with respect to de re temporalproperties, de re modal properties andthe like. (shrink)

Universals are usually considered to be universal properties. Since tropes are particular properties, if there are only tropes, there are no universals. However, universals might be thought of not only as common properties, but also as common aspects (“determinable universals”) and common wholes (“concrete universals”). The existence of these two latter concepts of universals is fully compatible with the assumption that all properties are particular. This observation makes possible three different trope theories, which accept tropes and no universals, tropes and (...) determinable universals and tropes and concrete universals. (shrink)

I argue for a property mereology and for mereological bundle theory. I then apply this theory to the one over many problem (universals) and puzzles concerning persistence and material constitution.

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

In this paper, I argue that the spatiotemporalist approach way of modeling the fundamental constituents, structure, and composition of the world has taken a wrong turn. Spatiotemporalist approaches to fundamental structure take the fundamental nature of the world to be spatiotemporal: they take the category of spatiotemporal to be fundamental. I argue that the debates over the nature of the fundamental space in the physics show us that (i) the fact that it is conceivable that the manifest world could be (...) exactly as it appears to us, even though spatiotemporal entities are not fundamental, means that a central premise of spatiotemporalism, that we may assume, given ordinary experience, that the world is fundamentally spatiotemporal, is false. (ii) Spatiotemporalism must be seen as a contingent, a posteriori physical truth. Finally, (iii) I argue that a metaphysically deeper conclusion follows from the debate over the nature of the fundamental space. The debate in physics over which sort of space is the fundamental space suggests that physicists have discovered that, even if a spacetime is an actual constituent of the world-space category, there is a world-space category that is more fundamental than the category of spacetime. (shrink)

In this paper, I motivate the view that quantitative parsimony is a theoretical virtue: that is, we should be concerned not only to minimize the number of kinds of entities postulated by our theories (i. e. maximize qualitative parsimony), but we should also minimize the number of entities postulated which fall under those kinds. In order to motivate this view, I consider two cases from the history of science: the postulation of the neutrino and the proposal of Avogadro's hypothesis. I (...) also consider two issues concerning how a principle of quantitative parsimony should be framed. (shrink)

Through a comparative case analysis regarding the Chinese language, it is discussed how the structure and functions of a natural language would bear upon the ways in which some philosophical problems are posed and some ontological insights shaped. Disagreeing with Chad Hansen's mass-noun hypothesis, a collective-noun hypothesis is argued for: (1) the denotational semantics and relevant grammatical features of Chinese nouns are like those of collective nouns; (2) their implicit ontology is a mereological ontology of collection-of-individuals with both part-whole and (...) member-class structure; and (3) encouraged and shaped by the folk semantics of Chinese nouns, classical Chinese theorists of language take this kind of mereological nominalism for granted. (shrink)

There are three different degrees to which we may allow a systematic theory of the world to embrace the idea of relatedness—supposing realism about non-symmetric relations as a background requirement. (First Degree) There are multiple ways in which a non-symmetric relation may apply to the things it relates—for the binary case, aRb ≠ bRa. (Second Degree) Every such relation has a distinct converse—for every R such that aRb there is another relation R* such that bR*a. (Third Degree) Each one of (...) them applies in an order to the things it relates—with regard to the state that results from R's applying to a and b, either R applies to a first and b second, or it applies to b first and a second. Whereas the first degree is near-indubitable, embracing the second or third generates unwholesome consequences. The second degree embodies a commitment to the existence of a superfluity of distinct converses and states to which such relations give rise. The third degree embodies commitment to recherché facts of the matter about how the states that arise from the application of one non-symmetric relation compare to any other. It is argued that accounts that purport to offer an analysis of the first degree generate unwelcome second or third degree consequences. This speaks in favour of our adopting an account of the application of relations that's not an analysis at all, an account that takes the first degree as primitive. (shrink)

I describe a new argument for the existence of God, and argue one of its steps. En route I criticize class-nominalist theories of attributes, and sketch an alternate theory involving God.

Many philosophers maintain that artworks, such as statues, are constituted by other material objects, such as lumps of marble. I give an argument against this view, an argument which appeals to mereological simples.

ABSTRACT Our aim in this article is to offer a new justification for preferring theories that are more quantitatively parsimonious than their rivals. We discuss cases where it seems clear that those involved opted for more quantitatively parsimonious theories. We extend previous work on quantitative parsimony by offering an independent probabilistic justification for preferring the more quantitatively parsimonious theories in particular episodes of theory choice. Our strategy allows us to avoid worries that other considerations, such as pragmatic factors of computational (...) tractability and so on, could be the driving ones in the historical cases under consideration. _1_ Introduction _2_ Three Desiderata _2.1_ Limiting _2.2_ Robustness _2.3_ Breadth _2.3.1_ A limited success for Baker _2.3.2_ Rejecting Baker’s analysis _2.4_ The proposal _3_ Probabilistically Additive Hypotheses and a Bayesian Account: The Limpid Rationale Relativized and Reconsidered _3.1_ Neutrinos and beta decay _3.2_ Avogadro’s hypothesis _3.3_ Postulation of Neptune _4_ Conclusion. (shrink)