Mereological Universalism

In the current debate on how ordinary objects persist through time, more than one philosopher has endorsed the following two theses: stage theory and diachronic universalism. In this paper, I would like to offer a so-lution to the problem (related to lingering properties) that Balashov poses to the joint acceptance of these theses. I will also offer a number of rea-sons why, even if it is not necessary to undermine Balashov�s counterex-amples, stage theorists can, without making their theory less appealing, (...) reject Balashov�s understanding of sorts, which plays a crucial role in his criticisms of stage universalism. (shrink)

Some strange cases have gripped philosophers of mind. They have been deployed against materialism about human persons, functionalism about mentality, the possibility of artificial intelligence, and more. In this paper, I cry “foul”. It’s not hard to think that there’s something wrong with the cases. But what? My proposal: their proponents ignore questions about composition. And ignoring composition is a mistake. Indeed, materialists about human persons, functionalists about mentality, and believers in the possibility of artificial intelligence can plausibly deploy moderate (...) theories of composition in defense of their views. And as it turns out, these strange cases are an interesting source of evidence for moderate theories of composition. (shrink)

Book Information Objects and Persons. Objects and Persons Trenton Merricks . Oxford: Clarendon Press , 2001 , pp. xii + 203 , £30 ( cloth ), £14.99 ( paper ) . By Trenton Merricks. Oxford: Clarendon Press. Pp. xii + 203. £30 (cloth:), £14.99 (paper:).

Most four-dimensionalists, including both worm and stage theorists, endorse mereological universalism, the thesis that any class of objects has a fusion. But the marriage of fourdimensionalism and universalism is unfortunate and unprofitable: it creates a recalcitrant problem for stage theory’s account of lingering properties, such as writing ‘War and Piece’ and traveling across the tennis court, which take time to be instantiated. This makes it necessary to impose a natural restriction on diachronic composition.

Composition, persistence, vagueness, and more constitute an interconnected network of problems. My criticism of Hud Hudson's provocative claims made in a recent paper (Hudson 2002) was focused almost exclusively on the issue of diachronic composition (Balashov 2003). Hudson's response (2003) has highlighted the dangers of such isolationism. But I want to hold to my strategy to the end. Part of the reason is to evade the appalling responsibility of presenting a full-blown theory of all the above phenomena; I must confess (...) that I do not have such a theory. At the same time, I contend that diachronic composition can be profitably carved out from the medley of the surrounding issues more or less at the joints provided by nature itself. And I do subscribe to some sort of realism about the joints of nature. (shrink)

Hud Hudson has recently suggested a scenario intended to show that, assuming the doctrine of temporal parts and a sufficiently liberal view of composition, there are material objects that move faster than light. I accept Hudson's conditional but contend that his modus ponens is less plausible that the corresponding modus tollens. Reversed in this way, the argument stemming from the scenario raises the cost of mereological liberalism and advances the case for a principled restriction on diachronic composition.

In this paper I respond to Trenton Merricks's (2005) paper ‘Composition and Vagueness’. I argue that Merricks's paper faces the following difficulty: he claims to provide independent motivation for denying one of the premisses of the Lewis-Sider vagueness argument for unrestricted composition, but the alleged motivation he provides begs the question.

I argue that Composition as Identity blocks the plural version of Cantor's Theorem, and that therefore the plural version of Cantor's Theorem can no longer be uncritically appealed to. As an example, I show how this result blocks a recent argument by Hawthorne and Uzquiano.

In this paper I argue that composition as identity entails unrestricted composition. I also briefly consider a new take on the special composition question.

Many metaphysicians accept the view that, necessarily, any collection of things composes some further thing. Necessarily, my arms, legs, head, and torso compose my body; necessarily, my arms, my heart, and the table compose something y; necessarily, my heart and the sun compose something z; and so on. 1 Though there have been a few recent attempts to argue against the necessity of this principle of unrestricted composition the consensus is that if it is true, it is necessarily true. 2In (...) what follows I will join the few dissenters and argue that this principle of unrestricted composition is not necessarily true. If I am right, it follows that either some principle of restricted composition is necessarily true or the existence of composite objects is a contingent matter. I will end by indicating why the latter option seems the most plausible. 3I proceed by reductio. Assume the following: Unrestricted composition is necessarily true.That is, assume that necessarily, any collection of things composes something. Then, necessarily, the collection of everything composes something. That is, necessarily, there exists a universal object U having all things as parts, not itself being a proper part of anything. Hence, by our assumption, we get: There must be a universal object U.It is important to note that this is so whether the world is finite or infinite. Holding that in worlds of finite cardinality there is a universal object U while in worlds of infinite cardinality there is no universal object U amounts to accepting a restricted form of composition. 4Now consider the following scenario. Everything in this world is spatially extended and just one half of something else that is also spatially extended. That is, for any thing in this world, there is something else of which …. (shrink)

The paper defends a combination of perdurantism with mereological universalism by developing semantics of temporary predications of the sort ’some P is/was/will be (a) Q’. We argue that, in addition to the usual application of causal and other restrictions on sortals, the grammatical form of such statements allows for rather different regimentations along three separate dimensions, according to: (a) whether ‘P’ and ‘Q’ are being used as phase or substance sortal terms, (b) whether ‘is’, ‘was’, and ‘will be’ are the (...) ‘is’, ‘was’, ‘will be’ of identity or of constitution, and (c) whether ‘Q’ is being used as a subject or predicate term. We conclude that this latitude is beneficial, as it conforms with linguistic reality (i.e., the multiple uses actually in place) and also enables one to turn what is ordinarily perceived as a problem for universalist perdurantism viz., a commitment to all sorts of weird and gerrymandered temporally extended entities, into an advantage, for the richness in questions allows us to make sense of. (shrink)

Composition as identity, as I understand it, is a theory of the composite structure of reality. The theory’s underlying logic is irreducibly plural; its fundamental primitive is a generalized identity relation that takes either plural or singular arguments. Strong versions of the theory that incorporate a generalized version of the indiscernibility of identicals are incompatible with the framework of plural logic, and should be rejected. Weak versions of the theory that are based on the idea that composition is merely analogous (...) to identity are too weak to be interesting, lacking in metaphysical consequence. I defend a moderate version according to which composition is a kind of identity, and argue that the difference is metaphysically substantial, not merely terminological. I then consider whether the notion of generalized identity, though fundamental, can be elucidated in modal terms by reverse engineering Hume’s Dictum. Unfortunately, for realists about possible worlds, such as myself,... (shrink)

The present volume is the first comprehensive reference work for research on part-whole relations. The Handbook of Mereology offers a wide scope, inclusive presentation of contemporary research on part-whole relations that draws out systematic, historical, and interdisciplinary trajectories, shows the subject’s fertility, and inspires future explorations. In particular, we want to impress that mereology is much more than the study of axiomatised systems. The relationship between part and whole is a basic schema of cognitive organisation that operates not only at (...) the level of language and propositional thought, but also at the level of sensory input processing, especially visual and auditory. In the natural, social, and human sciences, as well as in the Humanities, part-whole relations organize all three: data domains, methods, and theories. In short, part-whole relations play a fundamental role in how we perceive and interact with nature, how we speak and think about the world and ourselves, as societies and as individuals. (shrink)

Orthodoxy says that the thesis that composition is identity (CAI) entails universalism: the claim that any collection of entities has a sum. If this is true it counts in favour of CAI, since a thesis about the nature of composition that settles the otherwise intractable special composition question (SCQ) is desirable. But I argue that it is false: CAI is compatible with the many forms of restricted composition, and SCQ is no easier to answer given CAI than otherwise. Furthermore, in (...) seeing why this is the case we reveal an objection to CAI: that it allows for the facts concerning what there is to be settled whilst leaving open the question about what is identical to what. (shrink)

The thesis that composition is identity (CAI) is the thesis that the Xs compose A iff the Xs is identical to A.1 If this thesis is to be compatible with any mereological view other than mereological nihilism, we must allow that many-one identity statements make sense: that is, that it makes sense to say of a plurality of things that they are (collectively) identical to some one thing. Identity, on this view, holds between every thing and itself, but can also (...) between a thing and some things. (shrink)

The special composition question is the question, ‘When do some things compose something?’ The answers to this question in the literature have largely been at odds with common sense, either by allowing that any two things compose something, or by denying the existence of most ordinary composite objects. I propose a new ‘series-style’ answer to the special composition question that accords much more closely with common sense, and I defend this answer from van Inwagen's objections. Specifically, I will argue that (...) the proposed answer entails the transitivity of parthood, that it is non-circular, and that it casts some light on the ancient puzzle about the Ship of Theseus. (shrink)

David Lewis (1986) criticizes moderate views of composition on the grounds that a restriction on composition must be vague, and vague composition leads, via a precisificational theory of vagueness, to an absurd vagueness of existence. I show how to resist this argument. Unlike the usual resistance, however, I do not jettison precisificational views of vagueness. Instead, I blur the connection between composition and existence that Lewis assumes. On the resulting view, in troublesome cases of vague composition, there is an object, (...) which definitely exists, about which it is vague whether the relevant borderline parts compose it. (shrink)

This paper presents a historical view of the rise of mathematical universalism in modern times. It argues that 20th century mathematical revolution laid the foundations for a new universalism which extended to physics, economics, informatics, and recently biology. It describes the role played by the organization of mathematical work for closer co-operation among scientists on an international scale throughout the century, and stresses the importance of mathematics in the education process.

Many philosophers think that, necessarily, any material objects have a fusion (let’s call that doctrine “Universalism”). In this paper I point out a couple of strange consequences of Universalism and related doctrines, and suggest that they are strange enough to constitute a powerful argument against those views.

Those who accept the necessity of mereological universalism face what has come to be known as the ‘junk argument’ due to Bohn [2009], which proceeds from the incompatibility of junk with universalism and the possibility of junk, to conclude that mereological universalism isn't metaphysically necessary. Most attention has focused on ; however, recent authors have cast doubt on . This paper undertakes a defence of premise against three main objections. The first is a new objection to the effect that Bohn's (...) defence of that premise presupposes far too much. I show that one can defend premise from a much weaker set of assumptions. The second objection, due to Contessa [2012], is that those who accept unrestricted composition should only accept the existence of binary sums rather than infinitary fusions. I argue that this conception of unrestricted composition is problematic: it is in conflict with an intuitive remainder principle. The final objection is .. (shrink)

Does a commitment to mereological universalism automatically bring along a commitment to the controversial doctrine of mereological extensionalism—the view that objects with the same proper parts are identical? A recent argument suggests the answer is ‘yes’. This paper attempts a systematic response to the argument, considering nearly every available line of reply. It argues that only one approach—the mutual parts view—can yield a viable mereology where universalism does not entail extensionalism.

I reply to Hawthorne and Uzquiano’s arguments for the incompatibility between mereological universalism and plenitudinous co-location. I argue that a mereology in which antisymmetry for parthood fails is independently motivated, and allows for both universalism and plenitudinous co-location. There can be as many angels in a place as there are cardinalities.

Mereological nihilists are faced with a difficult challenge: explaining ordinary talk about material objects. Popular paraphrase strategies involve plurals, arrangements of particles, or fictions. In this paper, a new paraphrase strategy is put forward that has distinct advantages over its rivals: it is compatible with gunk and emergent properties of macro-objects. The only assumption is a commitment to a liberal view of the nature of simples; the nihilist must be willing to accept the possibility of heterogeneous extended simples. The author (...) suggests reinterpreting the parthood and composition relations as modal. According to this paraphrase, composition is a kind of counterpart relation. The author shows that one can accept that mereological nihilism is metaphysically necessary, while endorsing all the claims of classical mereology. As a result, the nihilists are in exactly the same position as the classical mereologist when it comes to explaining talk about ordinary objects, but without the additional ontology. (shrink)

It is often assumed that indeterminacy in mereological relations—in particular, indeterminacy in which collections of objects have fusions—leads immediately to indeterminacy in what objects there are in the world. This assumption is generally taken as a reason for rejecting mereological vagueness. The purpose of this paper is to examine the link between mereological vagueness and existential vagueness. I hope to show that the connection between the two forms of vagueness is not nearly so clear-cut as has been supposed.

The Plenitude Principle is that for every filled spacetime region, there is an object that is exactly located at that region. Hawthorne motivates it on the grounds that it’s the only way to avoid cultural prejudice with regards to what material objects exist (the argument from cultural prejudice). There is a similar argument for a perdurantist-universalist theory, and the content of this paper applies mutatis mutandis to that argument as well.

It is a common view that if composition as identity is true, then so is mereological universalism (the thesis that all objects have a mereological fusion). Various arguments have been advanced in favour of this: (i) there has been a recent argument by Merricks, (ii) some claim that Universalism is entailed by the ontological innocence of the identity relation, (or that ontological innocence undermines objections to universalism) and (iii) it is entailed by the law of selfidentity. After a preliminary introduction (...) to the competing theories of persistence (necessary for a discussion of Merricks’ argument) I examine each in turn and demonstrate how they fail. I conclude that the prejudice that if composition as identity is true then Universalism is true, is unwarranted. Thus one motivation for believing Universalism is lost and those who believe composition as identity should now be receptive to some form of restricted composition. (shrink)

Universalism (the thesis that for any ys, those ys compose a further object) is an answer to the Special Composition Question. In the literature there are three arguments (the arguments from elegance) that are often relied upon, but rarely examined in-depth. I argue that these motivations cannot be had by the perdurantist, for to avoid a commitment to badly behaved superluminal objects perdurantists must answer the Proper Continuant Question. Any answer to that question necessarily ensures that there is a restricted (...) answer to the Special Composition Question that is just as elegant as universalism. Thus, if you are a perdurantist, the arguments from elegance fail to motivate universalism for there will always be a restricted composition that is just as good. (shrink)

Universalism (the thesis that for any ys, those ys compose a further object) is an answer to the Special Composition Question. In the literature there are three arguments – what I call the arguments from elegance – that universalists often rely upon, but which are rarely examined in-depth. I argue that these motivations cannot be had by the perdurantist, for to avoid a commitment to badly behaved superluminal objects perdurantists must answer the ‘Proper Continuant Question’. Any answer to that question (...) necessarily ensures that there is a restricted answer to the Special Composition Question that is just as elegant as universalism. Thus, if you are a perdurantist, the arguments from elegance fail to motivate universalism for there will always be a restricted composition that is just as good. (shrink)

Universalism (the thesis that distinct objects always compose a further object) has come under much scrutiny in recent years. What has been largely ignored is its role in the metaphysics of classes. Not only does universalism provide ways to deal with classes in a metaphysically pleasing fashion, its success on these grounds has been offered as a motivation for believing it. This paper argues that such treatments of classes can be achieved without universalism, examining theories from Goodman and Quine, Armstrong (...) and Lewis. In the case of each theory, universalism is drafted in to ensure that there are enough material objects to play a particular role. I argue that, for each theory, there's a better theory that ditches universalism and instead uses an alternative principle of composition demanding that the unrestricted composition of entities other than material objects (respectively: regions, states of affairs and singletons) play that role instead. I conclude that (1) non-universalists can consider accepting such theories of classes and (2) we should ignore any alleged motivation for universalism on the basis of dealing with classes. (shrink)

The Vagueness Argument for universalism only works if you think there is a good reason not to endorse nihilism. Sider's argument from the possibility of gunk is one of the more popular reasons. Further, Hawley has given an argument for the necessity of everything being either gunky or composed of mereological simples. I argue that Hawley's argument rests on the same premise as Sider's argument for the possibility of gunk. Further, I argue that that premise can be used to demonstrate (...) the possibility of simples. Once you stick it all together, you get an absurd consequence. I then survey the possible lessons we could draw from this, arguing that whichever one you take yields an interesting result. (shrink)

Sider has a favourable view of supersubstantivalism (the thesis that all material objects are identical to the regions of spacetime that they occupy). This paper argues that given supersubstantivalism, Sider's argument from vagueness for (mereological) universalism fails. I present Sider's vagueness argument (§§II-III), and explain why - given supersubstantivalism - some but not all regions must be concrete in order for the argument to work (§IV). Given this restriction on what regions can be concrete, I give a reductio of Sider's (...) argument (§V). I conclude with some brief comments on why this is not simply an ad hominem against Sider, and why this incompatibility of supersubstantivalism with the argument from vagueness is of broader interest (§VI). (shrink)

This paper opposes universal mereological composition (UMC). Sider defends it: unless UMC were true, he says, it could be indeterminate how many objects there are in the world. I argue that there is no general connection between how widely composition occurs and how many objects there are in the world. Sider fails to support UMC. I further argue that we should disbelieve in UMC objects. Existing objections against them say that they are radically unlike Aristotelian substances. True, but there is (...) a stronger objection. This is that they are characterized by no properties, and so fail to be like anything – even themselves. (shrink)

Most contemporary metaphysicians are sceptical about the reality of familiar objects such as dogs and trees, people and desks, cells and stars. They prefer an ontology of the spatially tiny or temporally tiny. Tiny microparticles 'dog-wise arranged' explain the appearance, they say, that there are dogs; microparticles obeying microphysics collectively cause anything that a baseball appears to cause; temporal stages collectively sustain the illusion of enduring objects that persist across changes. Crawford L. Elder argues that all such attempts to 'explain (...) away' familiar objects project downwards, onto the tiny entities, structures and features of familiar objects themselves. He contends that sceptical metaphysicians are thus employing shadows of familiar objects, while denying that the entities which cast those shadows really exist. He argues that the shadows are indeed really there, because their sources - familiar objects - are mind-independently real. (shrink)

A mereological structure is junky if and only if each of its elements is a proper part of some other. The young literature on junk has focused on junky worlds and whether they are counterexamples to unrestricted composition. The present note defends the possibility of junky structures that are not worlds. This possibility complicates a recent attempt in the literature to render junk consistent with a weakened form of unrestricted composition. The upshot is that junky non-worlds threaten the weakened form (...) of unrestricted composition as much as junky worlds threaten the traditional version. (shrink)

I defend coincidentalism (the view that some pluralities have more than one mereological fusion) and restricted composition (the view that some pluralities lack mereological fusions) against recent arguments due to Theodore Sider.

Ned Markosian (2014) has recently defended a new theory of composition, which he calls regionalism: some material objects xx compose something if and only if there is a material object located at the fusion of the locations of xx. Markosian argues that regionalism follows from what he calls the subregion theory of parthood (STP). Korman and Carmichael (2016) agree. We provide countermodels to show that regionalism does not follow from (STP), even together with fourteen potentially implicit background principles. We then (...) show that regionalism does follow from five of those background principles together with (STP) and two additional principles connecting parthood and location, which we call (Overlap) and (Strong Delegation). While the additional principles are not uncontroversial, our conjecture is that many will find them attractive. We conclude by mentioning that (Strong Delegation) fills a previously unnoticed gap in the formal theory of location presented in Parsons (2007). (shrink)

We do not fully understand Hume’s account of space if we do not understand his view of determinations of extension, which is too much ignored a topic. In this paper, I argue for an interpretation that determinations of extension are unities in Hume’s view: single beings in addition to their components. This realist reading is reasonable on both textual and philosophical grounds. There is strong textual evidence for it and no textual reason to reject it. Realism makes perfect sense of (...) the metaphysics of determinations of extension along Humean lines and Hume’s view of spatial relations. (shrink)

This text is devoted to arguing for the thesis that our standard ontology of physical objects is not correct, and to offering a replacement for that ontology. None of the things that we normally take to exist really do exist. There are no animals, vegetables, or minerals. Nothing that I say against the specific physical objects of our standard ontology counts against the general claim that there are physical objects. In fact, I propose an ontology of physical objects that does (...) not suffer from the defects of our standard ontology or from any other defect. What exist, according to the ontology that I propose, are four dimensional hunks of matter, and every filled region of spacetime is exactly filled by one such object. ;In chapter 1, I explain this proposed ontology of four dimensional hunks of matter, give some reason for preferring four dimensional objects over three dimensional ones, and answer some objections to such an ontology. In chapter 2 the ontology is developed in more depth, paying special attention to those features of an object that seem to be most tied to its identity--its persistence conditions and essential properties. It turns out that four dimensional hunks have their spatiotemporal boundaries essentially. I also begin my attack on the standard ontology, offering some reason to believe that they do not really exist, or at least that they do not have the persistence conditions and essential properties that we typically attribute to them. In chapter 3 I present my strongest argument against our standard ontology--a version of the Sorites paradox. I discuss all the possible ways of handling vagueness and show that the only acceptable one is the denial of our standard ontology. In chapter 4 I show that rejecting the standard ontology is not as extreme as it might first seem since another ontology can be offered in its place and a paraphrase can be set up, thereby showing that even our most important and effective utterances need not be committed to the standard ontology. This other ontology is that of four dimensional hunks of matter. (shrink)

In a series of papers, Eli Hirsch develops a deflationary account of certain ontological debates, specifically those regarding the composition and persistence of physical objects. He argues that these debates are merely verbal disputes between philosophers who fail to correctly express themselves in a common language. To establish the truth in plain English about these issues, Hirsch contends, we need only listen to the assertions of ordinary speakers and interpret them charitably. In this paper, I argue that Hirsch's conclusions rest (...) on a deficient understanding of the principle of charity. On a proper understanding of this principle, we can see that philosophical disagreement on these issues is not merely verbal. Further, it is no serious violation of charity to interpret ordinary assertions on these matters as false, for the beliefs they express can be explained as reasonable mistakes. Throughout I focus on the debate on composition; but my arguments should carry over to the debate on persistence. (shrink)

Philosophical Papers Vol.32(1) 2003: 15-22.

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.

Particularists in material-object metaphysics hold that our intuitive judgments about which kinds of things there are and are not are largely correct. One common argument against particularism is the argument from arbitrariness, which turns on the claim that there is no ontologically significant difference between certain of the familiar kinds that we intuitively judge to exist (snowballs, islands, statues, solar systems) and certain of the strange kinds that we intuitively judge not to exist (snowdiscalls, incars, gollyswoggles, the fusion of the (...) my nose and the Eiffel Tower). Particularists frequently respond by conceding that there is no ontologically significant difference and embracing some sort of deflationary metaontology (relativism, constructivism, quantifier variance). I show -- by identifying ontologically significant differences -- that the argument can be resisted without retreating to any sort of deflationary metaontology. (shrink)

A presentation of the Lewis-Sider argument from vagueness for unrestricted composition and possible responses.