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)

Anyone who admits the existence of composite objects allows a certain kind of coincidence, coincidence of a thing with its parts. I argue here that a similar sort of coincidence, coincidence of a thing with the stuff that constitutes it, should be equally acceptable. Acknowledgement of this is enough to solve the traditional problem of the coincidence of a statue and the clay or bronze it is made of. In support of this, I offer some principles for the persistence of (...) stuff that are general, not relying on the particular features of a kind of stuff in the way that principles for the persistence for a thing would. This provides a non-arbitrary grounding for stuff that is independent of the conditions on the nature and persistence of things the stuff composes. The principles also provide a general basis for responding to other questions about coincident stuff. (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)

One familiar form of argument for rejecting entities of a certain kind is that, by rejecting them, we avoid certain difficult problems associated with them. Such problem-avoidance arguments backfire if the problems cited survive the elimination of the rejected entities. In particular, we examine one way problems can survive: a question for the realist about which of a set of inconsistent statements is false may give way to an equally difficult question for the eliminativist about which of a set of (...) inconsistent statements fail to be 'factual'. Much of the first half of the paper is devoted to explaining a notion of factuality that does not imply truth but still consists in 'getting the world right'. The second half of the paper is a case study. Some 'compositional nihilists' have argued that, by rejecting composite objects (and so by denying the composition ever takes place), we avoid the notorious puzzles of coincidence, for example, the statue/lump and the ship of Theseus puzzles. Using the apparatus developed in the first half of the paper, we explore the question of whether these puzzles survive the elimination of composite objects. (shrink)

I argue that a solution to puzzles concerning the relationship ofobjects and their properties – a version of the `bundle' theory ofparticulars according to which ordinary objects are mereologicalfusions of monadic and relational tropes – is also a solution topuzzles of material constitution involving the allegedco-location of material objects. Additionally, two argumentsthat have played a prominent role in shaping the current debate,Mark Heller's argument for Four Dimensionalism and Peter vanInwagen's argument against Mereological Universalism, are shownto be unsound given this version (...) of the bundle theory. (shrink)

Philosophical questions concerning parts and wholes have received a tremendous amount of the attention of contemporary analytic metaphysicians. In what follows, I discuss some of the central questions. The questions to be discussed are: how general is parthood? Are there different kinds of parthood or ways to be a part? Can two things be composed of the same parts? When does composition occur? Can material objects gain or lose parts? What is the logical form of the parthood relation enjoyed by (...) material objects? (shrink)

I introduce a methodology for doing the history of philosophy called philosophical modeling. I then employ this methodology to give a theory of Kant's distinction between things in themselves and appearances. This theory models Kant's distinction on the distinction between a constituting object and the object it constitutes.

E. J. Lowe; Coinciding objects: in defence of the ‘standard account’, Analysis, Volume 55, Issue 3, 1 July 1995, Pages 171–178, https://doi.org/10.1093/analys/5.

The central argument for animalism is the thinking animal problem : if you are not an animal, there are two thinkers within the region you occupy, i.e., you and your animal body. This is absurd. So you are an animal. The main objection to this argument is the thinking brain problem : animalism faces a problem that is structurally analogous to TAP. Specifically, if animalism is true, you and your brain both think. This is absurd. So animalism is false. The (...) purpose of this paper is to propose strategies animalists can endorse to solve TBP. I first show that animalists can solve TBP by arguing that it is not sound. This solution to TBP raises questions about personal identity over time and the mereological relation between the person and the brain. I argue that animalists can answer the personal identity question by endorsing non-biological persistence conditions as well as biological ones. For the mereological question, I first show that animalism is incompatible with four-dimensionalism and eliminativism. I then argue that animalists should endorse the dominant sortal account to answer the mereological question. (shrink)

Physicalist Christology is the view that God the Son, in the Incarnation, became identical with the body of Jesus. The goal of this paper is to defend PC from two recent objections. One is that if GS is a physical object, then he cannot have properties had by God. Then, by Leibniz’s law, the incarnate GS cannot be identical with the second Person of the Trinity. The other objection is that PC implies that the incarnate GS did not exist in (...) the interim period between his death and resurrection. PC then leads to the theologically absurd consequence that one of the three Persons of the Trinity did not exist during this period. I argue that the first objection fails because the very same argumentative strategy applies to the Incarnation on any view. As for the second objection, I endorse an animalist theory of death and argue that the incarnate GS continues to exist as a dead person from his death to resurrection. This shows that there is still continuing Trinity of GS during this period. (shrink)

In his excellent book, Four-Dimensionalism: An Ontology of Persistence and Time (Sider, 2001), Theodore Sider defends a version of four-dimensionalism which he calls the ‘stage-theory’. This paper focuses on Sider's argument from vagueness and argues that, due to the problematic nature of the argument from vagueness, Sider’s case in favor of four-dimensionalism is in the end not successful.

Whenever an object constitutes, makes up or composes another object, the objects in question share a striking number of properties. This paper is addressed to the question of what might account for the intimate relation and striking similarity between constitutionally related objects. According to my account, the similarities between constitutionally related objects are captured at least in part by means of a principle akin to that of strong supervenience. My paper addresses two main issues. First, I propose independently plausible principles (...) by means of which to delineate, in a non-ad-hoc, non-stipulative and non-circular fashion, those properties which can be expected to be shared among constitutionally related objects in virtue of their being so related from those which in general cannot be expected to be shared, or which are shared for other reasons. Secondly,I spell out in detail the nature of the supervenience-principle at work in this context. My account thus aims at isolating, in a methodologically responsible fashion, the particular sort of restricted indiscernibility principle which is a component of the constitution-relation. (shrink)

When some objects are the parts of another object, they compose that object and that object is composite. This article is intended as an introduction to the central questions about composition and a highly selective overview of various answers to those questions. In §1, we review some formal features of parthood that are important for understanding the nature of composition. In §2, we consider some answers to the question: which pluralities of objects together compose something? As we will see, the (...) dominant answers are all of them and none of them. In §§3-4, we examine one of the main arguments that has driven philosophers to these extreme answers: the argument from vagueness. In §5, we turn to the question of whether composition is unique: is it sometimes the case that some things compose more than one thing? Finally, in §6, we turn from the question of which composites exist to the question of which composites exist fundamentally. (shrink)

I examine the implications of positing stuff as a way to avoid colocation in the case of the statue and the bronze that constitutes it. When characterising stuff, it’s intuitive to say we often individuate stuff kinds by appealing to things and their relations. I argue that if this intuition is correct, there are important restrictions on how we can characterise stuff in order to avoid colocated portions of stuff.

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.

One argument for the thirder position on the Sleeping Beauty problem rests on direct inference from objective probabilities. In this paper, I consider a particularly clear version of this argument by John Pollock and his colleagues (The Oscar Seminar 2008). I argue that such a direct inference is defeated by the fact that Beauty has an equally good reason to conclude on the basis of direct inference that the probability of heads is 1/2. Hence, neither thirders nor halfers can find (...) direct support in an appeal to objective probabilities. (shrink)

Is a bank note identical with the piece of paper of which it consists? On the one hand, John Searle, in his reply to Barry Smith, suggests that they are “one and the same object” that is a social or non-social object only under certain descriptions. On the other hand, Lynne Rudder Baker puts forward the claim that bank note and paper are distinct entities that are bound together by the relation of material constitution. I suggest two possible analyses for (...) Searle’s description relativity claim, the Alternative Subject Analysis and the Predicate Modification Analysis. On both accounts his identity claim gets into serious trouble. While Baker’s definition of material constitution deals well with the bank note example, it fails to account for the constitution of bearerless social entities and groups. I point out five respects in which social constitution can differ from Baker’s account of material constitution and discuss compositional, institutional and interactional constitution as additional varieties of social constitution. (shrink)

It is well known that, according to some, philosophical reflection on zombies (i.e., bodies without minds) poses a problem for physicalism. But what about ghosts, i.e., minds without bodies? Does philosophical reflection on them pose a problem for physicalism? Descartes, of course, thought so, and lately rumours have been surfacing that has was right after all, that ghosts pose a problem for both a priori and a posteriori physicalism, and for any kind of physicalism in between. This paper argues that (...) physicalists have nothing to fear from ghosts, since the central consideration employed to motivate ghostly arguments against physicalism--viz., that ghosts are conceivable--is false: ghosts aren't conceivable. (shrink)

Are the sculpture and the mass of gold which permanently makes it up one object or two? In this article, we argue that the monist, who answers ‘one object’, cannot accommodate the asymmetry of material constitution. To say ‘the mass of gold materially constitutes the sculpture, whereas the sculpture does not materially constitute the mass of gold’, the monist must treat ‘materially constitutes’ as an Abelardian predicate, whose denotation is sensitive to the linguistic context in which it appears. We motivate (...) this approach in terms of modal analyses of material constitution, but argue that ultimately it fails. The monist must instead accept a deflationary, symmetrical use of ‘materially constitutes’. We argue that this is a serious cost for her approach. (shrink)

Classical mereology (CM) is usually taken to be formulated in a tenseless language, and is therefore associated with a four-dimensionalist metaphysics. This paper presents three ways one might integrate the core idea of flat plenitude, i.e., that every suitable condition or property has exactly one mereological fusion, with a tensed logical setting. All require a revised notion of mereological fusion. The candidates differ over how they conceive parthood to interact with existence in time, which connects to the distinction between endurance (...) and perdurance. Similar issues arise for the integration of mereology with modality, and much of our discussion applies to this project as well. (shrink)

The best reason to believe in temporal parts is to avoid commitment to coincidence—roughly, two objects occupying exactly the same space at exactly the same time. Most anti-coincidence arguments for temporal parts are fission arguments. Gaining some notice, however, are vagueness arguments. One goal of this paper is to clarify the way a temporal-parts ontology avoids coincidence, and another is to clarify the vagueness argument, highlighting the fact that it too is an anti-coincidence argument. The temporal-parts alternative to coincidence has (...) been challenged on the grounds that it leads to a kind of coincidence of its own. When something that is a temporal part of more than one person thinks about its future self, it must be thinking about a multitude of people. Thus, there must be many people thinking many thoughts in that region occupied by the thinking part. The third goal of this paper is debunking this attack on temporal parts. (shrink)

Can institutional objects be identified with physical objects that have been ascribed status functions, as advocated by John Searle in The Construction of Social Reality (1995)? The paper argues that the prospects of this identification hinge on how objects persist – i.e., whether they endure, perdure or exdure through time. This important connection between reductive identification and mode of persistence has been largely ignored in the literature on social ontology thus far.

The view that ordinary objects are composites of form and matter ("hylomorphism") can be contrasted with the more common view that ordinary objects are composed of only material parts ("matter only"). On a matter-only view the hard question is modal: which modal profile does that (statue-shaped) object have? Does it have the modal profile of a statue, a lump, a mere aggregate? On a hylomorphic view the hard question is ontological: which objects exist? Does a statue (matter-m + statue-form), a (...) lump (matter-m + lump-form), and/or a mere aggregate (matter-m + mere aggregate-form) exist? I defend a novel answer to the hard question for hylomorphism. In particular, I argue that which ordinary objects exist depends, in part, on how subjects respond to the matter they encounter. I argue that, with regard to grounding the existence and modal properties of ordinary objects, response-dependent hylomorphism is superior to both matter only views and to non-response-dependent versions of hylomorphism. (shrink)

This paper examines the legitimacy of two common methodologies within philosophy: thought experiments and conceptual analysis. In particular, I examine the uses to which these two methodologies have been put within modal epistemology. I argue that, although both methods can be used to reveal conditional essentialist claims (e.g. necessarily: if x is water, then x is H20), neither can be used to reveal the de re essentialists claims (e.g. x is water and x is essentially H20) they’re often taken to (...) reveal. (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)

In this paper I will argue against a view that I call foundationalism about persistence-conditions. The core of this view is that composite physical objects have their specific persistence-conditions in virtue of these conditions being fulfilled by the object’s physical constituents at various times. I will provide two arguments – the argument from the possibility of instantaneous objects and the argument from the presence of persistence-conditions – which show that this view is untenable. These arguments will also point towards a (...) more adequate understanding of what it means for an object to have certain persistence-conditions. I will expound this understanding and suggest, on its basis, an unorthodox, hylomorphist account of the persistence-conditions of objects. (shrink)

There is a well-known argument from Leibniz's Law for the view that coincident material things may be distinct. For given that they differ in their properties, then how can they be the same? However, many philosophers have suggested that this apparent difference in properties is the product of a linguistic illusion; there is just one thing out there, but different sorts or guises under which it may be described. I attempt to show that this ‘opacity’ defence has intolerable consequences for (...) the functioning of our language and that the original argument should therefore be allowed to stand. (shrink)

This critical notice describes some of Thomas Sattig’s book The Double Lives of Objects: An Essay in the Metaphysics of the Ordinary World and raises several critical issues about it.

The thesis of methodological individualism in social science is commonly divided into two different claims—explanatory individualism and ontological individualism. Ontological individualism is the thesis that facts about individuals exhaustively determine social facts. Initially taken to be a claim about the identity of groups with sets of individuals or their properties, ontological individualism has more recently been understood as a global supervenience claim. While explanatory individualism has remained controversial, ontological individualism thus understood is almost universally accepted. In this paper I argue (...) that ontological individualism is false. Only if the thesis is weakened to the point that it is equivalent to physicalism can it be true, but then it fails to be a thesis about the determination of social facts by facts about individual persons. Even when individualistic facts are expanded to include people’s local environments and practices, I shall argue, those still underdetermine the social facts that obtain. If true, this has implications for explanation as well as ontology. I first consider arguments against the local supervenience of social facts on facts about individuals, correcting some flaws in existing arguments and affirming that local supervenience fails for a broad set of social properties. I subsequently apply a similar approach to defeat a particularly weak form of global supervenience, and consider potential responses. Finally, I explore why it is that people have taken ontological individualism to be true. (shrink)

I have previously argued in a paper with Robson that a particular time travel scenario favours perdurantism over endurantism on the grounds that endurantists must give up on the Weak Supplementation Principle. Smith has responded, arguing that the reasons we provided are insufficient to warrant this conclusion. This paper agrees with that conclusion (for slightly different reasons: that even the perdurantist has to give up on the Weak Supplementation Principle) but argues that the old argument can be supplanted with a (...) new one. (shrink)

In this paper, we argue that time travel is problematic for the endurantist. For it appears to be possible, given time travel, to construct a wall out of a single time travelling brick. This commits the endurantist to one of the following: (a) the wall is composed of the time travelling brick many times over; (b) the wall does not in fact exist at all; (c) the wall is identical to the brick. We argue that each of these options is (...) unsatisfactory. (shrink)

In "Does Four-Dimensionalism Explain Coincidence" Mark Moyer argues that there is no reason to prefer the four-dimensionalist (or perdurantist) explanation of coincidence to the three-dimensionalist (or endurantist) explanation. I argue that Moyer's formulations of perdurantism and endurantism lead him to overlook the perdurantist's advantage. A more satisfactory formulation of these views reveals a puzzle of coincidence that Moyer does not consider, and the perdurantist's treatment of this puzzle is clearly preferable.

The main contribution of this work is to develop the account of material constitution presented in Spatially Coinciding Objects (Ratio 24, 1982) and a series of related articles. This account was merely ‘analytical’ in that it applied generously to ‘putative’ examples of distinct entities (individuals, pluralities and masses of stuff) in the same place at the same time. The account herein is ‘critical’ in that it seeks justification for recognizing the existence of entities constituted in addition to the entities that (...) allegedly constitute them. While the earlier account used examples such as a clay statue and the clay of the statue for purposes of illustrating material constitution, the present account would consider ‘reducing’ the statue to the clay, and seeks justification for how to resist this and admit the existence of generable and perishable natural objects in general. The justification sought is ‘deep’ in the sense that (unlike the popular ‘method of cases) it does not belong to ‘descriptive’ metaphysics (in Strawson’s sense) but is sufficiently potent to counter ‘revisionist’ views. Transcendental arguments, beginning with austere assumptions of justification itself, are thereby employed. Suggestions are made about what to conclude about our own identity, which amount to supporting animalism. (shrink)

Peter Goldie and Elisabeth Schellekens have recently articulated the Idea Idea, the thesis that “in conceptual art, there is no physical medium: the medium is the idea.” But what is an idea, and in the case of works such as Duchamp's Fountain, how does the idea relate to the urinal? In answering these questions, it becomes apparent that the Idea Idea should be rejected. After showing this, I offer a new ontology of conceptual art, according to which such artworks are (...) not ideas but artifacts imbued with ideas. After defending this view from objections, I briefly discuss some implications it has for the ontology of art in general. (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)

I propose an account truthmaking that provides truthmakers for negative truths. The account replaces Truthmaker Necessitarianism with a "Duplication Principle", according to which a suitable entity T is a truthmaker for a proposition P just in case the existence of an appropriate counterpart of T entails the truth of P, where the counterpart relation is cashed out in terms of qualitative duplication. My account captures an intuitive notion of truthmakers as "things the way they are", validates two appealing principles about (...) entailment and containment proposed by David Armstrong, and invalidates the controversial Disjunction Thesis. (shrink)

A widely held view has it that sometimes there is more than one thing in exactly the same place, as is the case, allegedly, with a clay statue. There is the statue, but there also is a piece of clay—both obviously in the same place yet distinct in virtue of their differing properties, if only modal ones. Those holding this view—pluralists—often describe the relation between such objects as one of constitution, with the piece of clay being said to constitute the (...) statue. In the first part of this paper I consider ways in which the supposed relation of constitution may be understood. I conclude that the only coherent interpretation of ‘x constitutes y’ is one on which it is presupposed that x and y are identical. While this does not, by itself, show that pluralism is false, it is something that should make us suspicious of it. In the second part of the paper I propose a simple way with the temporal and modal facts the pluralist appeals to, showing that they do not force us into accepting his puzzling doctrine. (shrink)

A lot of people believe that distinct objects can occupy precisely the same place for the entire time during which they exist. Such people have to provide an answer to the 'grounding problem' – they have to explain how such things, alike in so many ways, nonetheless manage to fall under different sortals, or have different modal properties. I argue in detail that they cannot say that there is anything in virtue of which spatio-temporally coincident things have those properties. However, (...) I also argue that this may not be as bad as it looks, and that there is a way to make sense of the claim that such properties are primitive. (shrink)

Metaphysical theories heavily rely on the use of primitives to which they typically appeal. I will start by examining and evaluating some traditional well-known theories and I will discuss the role of primitives in metaphysical theories in general. I will then turn to a discussion of claims of between theories that, I think, depend on equivalences of primitives, and I will explore the nature of primitives. I will then claim that almost all explanatory power of metaphysical theories comes from their (...) primitives, and so I will turn to scrutinize the notion of "power" and "explanatory". (shrink)

Metaphysical theories are beautiful. I mean it literally. At the end of this book, I defend the view that metaphysical theories possess aesthetic properties and that these play a crucial role when it comes to theory evaluation and theory choice. But this is the end of a long journey – a journey that is perhaps more important than the destination. Before we get there, the philosophical path I propose to follow starts with three discussions of metaphysical equivalence. I argue that (...) there are cases of metaphysical equivalence, cases of partial metaphysical equivalence, as well as interesting cases of theories that are not equivalent. Thus, claims of metaphysical equivalence can only be raised locally. My slogan is : the best way to do meta -metaphysics is to do first-level metaphysics. To do this work, I focus on the nature of primitives and on the role they play in each of the theories involved. I emphasize the utmost importance of primitives in the construction of metaphysical theories and in the subsequent evaluation of them. I then raise the simple but complicated question: how to make a choice between competing metaphysical theories? If two theories are equivalent, then perhaps we do not need to make a choice. But what about all the other cases of non-equivalent "equally good" theories? I use some of the theories discussed in the first part of the book as examples and I examine some traditional meta -theoretical criteria for theory choice only to show that they do not allow us to make a choice. But if the standard meta -theoretical criteria cannot help us in deciding between competing non-equivalent metaphysical theories, how then shall we make that choice? This is where I argue that metaphysical theories possess aesthetic properties – grounded in non-aesthetic properties – and that these play a crucial role in theory choice and evaluation. This view, as well as all the meta -metaphysical considerations discussed throughout the book, then naturally lead me to a form of anti-realism, and at the end of the journey I offer reasons to think better of the kind of anti-realist view I propose to embrace. (shrink)

Cornell University Ithaca, NY 14850 [email protected] are motorcycles made of? Presumably the answer is something like ‘wheels, pistons, fuel lines …’ or perhaps ‘metal, leather, plastic …’. Whatever precisely the parts of a motorcycle are, surely they are all material. Kathrin Koslicki disagrees. She has recently argued that ordinary material objects like motorcycles not only have material proper parts, but also have formal proper parts . On her view, an accurate list of the proper parts of a motorcycle must include (...) something like motorcyclehood in addition to the sorts of things just listed. Although she remains neutral about what exactly such a formal part is , she is explicit about what it does. The formal part of an object dictates structure; it dictates how the material parts must be arranged. It is ‘a kind of recipe for how to build wholes of that particular kind’ . Koslicki claims that this recipe or structure is itself a proper part of every motorcycle. That is what she calls the Neo-Aristotelian Thesis . A strange claim! So let us examine Koslicki’s argument for it. She begins by asking us to consider a case in which an artist shapes a single lump of clay L, thereby creating a statue S. The argument then proceeds as follows : The argument for the Neo-Aristotelian Thesis:1.It is possible to make an object S from a single preexisting material ingredient L. 2.L is a proper part of S. 3.Weak Supplementation: anything that has a proper part has at least two non-overlapping proper parts. 4.S has a proper part Q that does not overlap L . 5.S has no material proper parts other than L 6.Q is a proper part, but not a material proper part, of S 7.S has …. (shrink)

Milk, sand, plastic, uranium, wood, carbon, and oil are kinds of stuff. The sand in Hawaii, the uranium in North Korea, and the oil in Iraq are portions of stuff. Not everyone believes in portions of stuff.1 Those who do are likely to agree that, whatever their more specific natures, portions of stuff can at least be identified with mereological sums of their subportions.2 It seems after all trivial that a given portion of stuff just is all of its subportions (...) combined—not by a spatiotemporal or any other substantive unifying relation, but by a mere principle of summation, a principle requiring that, if some things exist, there exists the sum, or collection, of those things. (shrink)