Mereological nihilism (henceforth just "nihilism") is the thesis that composition never occurs. Nihilism has often been defended on the basis of its theoretical simplicity, including its ontological simplicity and its ideological simplicity (roughly, nihilism's ability to do without primitive mereological predicates). In this paper I defend nihilism on the basis of the theoretical unification conferred by nihilism, which is, roughly, nihilism's capacity to allow us to take fewer phenomena as brute and inexplicable. This represents a (...) respect in which nihilism enjoys greater theoretical simplicity than its rivals which has not yet been explored, and which is immune to many of the objections which have been leveled against previous arguments for nihilism from nihilism's theoretical simplicity. Composition as identity might be thought to confer a similar degree of theoretical unification as nihilism. I end the paper by arguing that this is not the case. (shrink)

Mereological nihilism is the thesis that composition never occurs. Sider has defended nihilism on the basis of its relative ideological simplicity. In this paper I develop the argument from ideological simplicity, and defend it from some recent objections. Along the way I discuss the best way to formulate nihilism, what it means for a theory to exhibit lesser or greater degrees of ideological simplicity, the relationship between the parthood relation and the identity relation, and the notion (...) that we should judge the ideological simplicity of competing theories on the basis of the kinds of ideological commitments required by those theories. (shrink)

I provide a simple solution to the problem of determining the characterising feature(s) of the simple approach to personal identity, sometimes also called the simple view: instead of focusing on claims regarding the analysability, reducibility, or triviality of the concepts used in simple theories of personal identity, I propose instead a metaphysical criterion to define this approach. In particular, I claim that the simple approach is (best seen as) that family of theories according to which personal identity is a relation (...) that essentially depends on a mereologically simple (or impartite) entity the existence and features of which may be known directly (e.g., by introspection) or indirectly (e.g., by deduction from a series of other premises). (shrink)

This chapter is a work in applied metaphysics. Recent discussions of monism and metaphysical dependence are deployed to develop a view—the doctrine of divine priority (DDP)—that is a viable alternative to the doctrine of divine simplicity (DDS). DDS and the traditional motivation for it are discussed, then DDP is introduced by way of an analogy involving Jonathan Schaffer’s distinction between two forms of monism. It is argued that DDP is an alternative to DDS by showing that it is consistent (...) with the traditional motivation for the latter view, and argued that DDP is a viable alternative by showing that objections to its peculiar implications rest on assumptions that can reasonably be rejected. In the concluding section, the findings of the main discussion are summarized and DDP’s potential theological import is illustrated with a brief discussion of a possible solution to the Problem of the Trinity it affords. (shrink)

The mereological predicate ‘is part of’ can be used to define the predicate ‘is identical with’. I argue that this entails that mereological theories can be ideologically simpler than nihilistic theories that do not use the notion of parthood—contrary to what has been argued by Ted Sider. Moreover, if one accepts an extensional mereology, there are good philosophical reasons apart from ideological simplicity to give a mereological definition of identity.

The general composition question asks “what are the necessary and jointly sufficient conditions any xs and any y must satisfy in order for it to be true that those xs compose that y?” Although this question has received little attention, there is an interesting and theoretically fruitful answer. Namely, strong composition as identity (SCAI): necessarily, for any xs and any y, those xs compose y iff those xs are identical to y. SCAI is theoretically fruitful because if it is true, (...) then there is an answer to one of the most difficult and intractable questions of mereology (The Simple Question). In this paper, I introduce the identity account of simplicity and argue that if SCAI is true then this identity account of simplicity is as well. I consider an objection to the identity account of simplicity. Ultimately, I find this objection unsuccessful. (shrink)

This paper offers a reconstruction of Franz Brentano’s mereological solution to the problem of the unity of consciousness and explores some implications of this solution for the ontology of the mind. In section 1 I sketch Brentano’s ontological distinctions between things, collectives, and divisives. In section 2 I present Brentano’s mereological solution and in section 3 I review his main pro-arguments. Eventually, in section 4 I consider some Jamesian objections to the mereological approach. I argue the notion (...) of ‘mental parts’ can be given a rather innocuous meaning by being conceived of as the expression of conceptual distinctions grounded in similarity and contrast relations between total mental phenomena. (shrink)

This essay describes and evaluates the conception of mereological structure that underpins Deleuze’s account of ontogenesis in Difference and Repetition. A theory of mereology is a theory of composition: it asks what it is to be a part making a whole, what it is to be a whole collecting its parts; in short, in what the relation of making or composing consists. The locus classicus for modern mereology is the third of Husserl’s Logical Investigations (‘On the Theory of Wholes (...) and Parts’), which deduces the definitions, axioms and principles governing the relation of parthood and associated notions, such as wholeness, separation, simplicity and complexity. My question is this: what happens to these notions when they are no longer the terms of a ‘calculus of individuals’ and, instead, become the terms of a differential calculus of individuation? (shrink)

I defend a one category ontology: an ontology that denies that we need more than one fundamental category to support the ontological structure of the world. Categorical fundamentality is understood in terms of the metaphysically prior, as that in which everything else in the world consists. One category ontologies are deeply appealing, because their ontological simplicity gives them an unmatched elegance and spareness. I’m a fan of a one category ontology that collapses the distinction between particular and property, replacing (...) it with a single fundamental category of intrinsic characters or qualities. We may describe the qualities as qualitative charactersor as modes, perhaps on the model of Aristotelian qualitative (nonsubstantial) kinds, and I will use the term “properties” interchangeably with “qualities”. The qualities are repeatable and reasonably sparse, although, as I discuss in section 2.6, there are empirical reasons that may suggest, depending on one’s preferred fundamental physical theory, that they include irreducibly intensive qualities. There are no uninstantiated qualities. I also assume that the fundamental qualitative natures are intrinsic, although physics may ultimately suggest that some of them are extrinsic. On my view, matter, concrete objects, abstract objects, and perhaps even spacetime are constructed from mereological fusions of qualities, so the world is simply a vast mixture of qualities, including polyadic properties (i.e., relations). This means that everything there is, including concrete objects like persons or stars, is a quality, a qualitative fusion, or a portion of the extended qualitative fusion that is the worldwhole. I call my view mereological bundle theory. (shrink)

This paper approaches Husserl’s analysis of time-consciousness from a mereological perspective. Taking as inspiration Bergson’s idea that pure durée is a multiplicity of interpenetration, I will show, from within Husserlian phenomenology, that the absolute flow can indeed be described as a whole of interpenetrating parts. This mereological perspective will inform my re-consideration of the much-discussed issue of Husserl’s self-criticism concerning the schema of content and apprehension. It will also reveal a fundamental similarity between Husserl’s conception of the absolute (...) flow and Sartre’s conception of lived temporality. This paper consists of four sections. Section 2 presents the basic elements of Husserl’s mereology. Section 3 introduces the difficulty encountered by Husserl’s early account of time that makes use of the schema. I will examine Barry Dainton’s criticism of Husserl’s theory of time-consciousness against the background of the older debate between Meinong and Stern, a debate that has informed Husserl’s own account. Section 4 distinguishes two common criticisms of the schema from Husserl’s own self-criticism, which is in turn divided into two steps. It is shown how the second step of this self-criticism implies the interpenetration of the absolute flow and responds to Dainton’s criticism. Finally, Sect. 5 concludes with some comparative remarks. I will show how Husserl’s notion of absolute flow, as mereologically interpreted, anticipates Sartre’s conception of consciousness as self-transcendence, as well as how it accommodates the apparently conflicting mereological intuitions of Aristotle and Bergson. (shrink)

Mereological nihilism is the thesis that composite objects—objects with proper parts—do not exist. Nihilists generally paraphrase talk of composite objects F into talk of there being “xs arranged F-wise” . Recently several philosophers have argued that nihilism is defective insofar as nihilists are either unable to say what they mean by such phrases as “there are xs arranged F-wise,” or that nihilists are unable to employ such phrases without incurring significant costs, perhaps even undermining one of the chief motivations (...) for nihilism. In this paper I defend nihilism against these objections. A key theme of the paper is this: if nihilists need to employ such phrases as “there are xs arranged F-wise,” non-nihilists will need to do so as well. Accordingly, any costs incurred by the nihilist when she employs such phrases will be shared by everyone else. What’s more, such phrases are intelligible when employed by the nihilist, as well as when they are employed by the non-nihilist, insofar as analyses of such phrases will not essentially involve mereological concepts incompatible with nihilism. (shrink)

This article aims to provide a consistent explication of the doctrine of Divine Simplicity. To achieve this end, a re-construal of the doctrine is made within an “aspectival trope-theoretic” metaphysical framework, which will ultimately enable the doctrine to be elucidated in a consistent manner, and the Plantingian objections raised against it will be shown to be unproblematic.

Mereological nihilists hold that composition never occurs, so that nothing is ever a proper part of anything else. Substance dualists generally hold that we are each identical with an immaterial soul. In this paper, I argue that every popular objection to substance dualism has a parallel objection to composition. This thesis has some interesting implications. First, many of those who reject composition, but accept substance dualism, or who reject substance dualism and accept composition, have some explaining to do. Secondly, (...) one popular objection to mereological nihilism, one which contends that mereological nihilism is objectionable insofar as it is incompatible with the existence of people, is untenable. (shrink)

Mereological nihilism is the view that no objects have proper parts. Despite how counter‐intuitive it is, it is taken quite seriously, largely because it solves a number of puzzles in the metaphysics of material objects – or so its proponents claim. In this article, I show that for every puzzle that mereological nihilism solves, there is a similar puzzle that (a) it doesn’t solve, and (b) every other solution to the original puzzle does solve. Since the solutions to (...) the new puzzles apply just as well to the old puzzles, the old puzzles provide no motivation to be a mereological nihilist. (shrink)

The doctrine of divine simplicity has recently been ably defended, but very little work has been done considering reasons to believe God is simple. This paper begins to address this lack. I consider whether divine aseity or the related notion of divine sovereignty provide us with good reason to affirm divine simplicity. Divine complexity has sometimes been thought to imply that God would possess an efficient cause; or, alternatively, that God would be grounded by God’s constituents. I argue (...) that divine complexity implies neither of these, and so that a complex God could also exist a se. Similarly, a complex God might be thought less sovereign than a simple God, due to lacking control over the divine constituents. I argue in reply that a complex God either has just as much control as a simple God, or that a complex God’s relative lack of control should cause no theological problems. The upshot is that neither the doctrines of divine aseity or of divine sovereignty give theists good reason to endorse divine simplicity. (shrink)

Metaphysicians frequently appeal to the idea that theoretical simplicity is truth conducive in metaphysics, in the sense that, all other things being equal, simpler metaphysical theories are more likely to be true. In this paper I defend the notion that theoretical simplicity is truth conducive in metaphysics, against several recent objections. I do not give any direct arguments for the thesis that simplicity is truth conducive in metaphysics, since I am aware of no such arguments. I do (...) argue, however, that there is no special problem with the notion that simplicity is truth conducive in metaphysics. More specifically, I argue that if you accept the idea that simplicity is truth conducive in science, then it would be objectionably arbitrary to reject the idea that simplicity is truth conducive in metaphysics. (shrink)

Physical laws are strikingly simple, although there is no a priori reason they must be so. I propose that nomic realists of all types (Humeans and non-Humeans) should accept that simplicity is a fundamental epistemic guide for discovering and evaluating candidate physical laws. This principle of simplicity clarifies and addresses several problems of nomic realism and simplicity. A consequence is that the oft-cited epistemic advantage of Humeanism over non-Humeanism disappears, undercutting an influential epistemological argument for Humeanism. Moreover, (...) simplicity is shown to be more tightly connected to lawhood than to mere truth. (shrink)

This article motivates and develops a reductive account of the structure of certain physical quantities in terms of their mereology. That is, I argue that quantitative relations like "longer than" or "3.6-times the volume of" can be analyzed in terms of necessary constraints those quantities put on the mereological structure of their instances. The resulting account, I argue, is able to capture the intuition that these quantitative relations are intrinsic to the physical systems they’re called upon to describe and (...) explain. (shrink)

We study the question of how to decompose Hilbert space into a preferred tensor-product factorization without any pre-existing structure other than a Hamiltonian operator, in particular the case of a bipartite decomposition into "system" and "environment." Such a decomposition can be defined by looking for subsystems that exhibit quasi-classical behavior. The correct decomposition is one in which pointer states of the system are relatively robust against environmental monitoring (their entanglement with the environment does not continually and dramatically increase) and remain (...) localized around approximately-classical trajectories. We present an in-principle algorithm for finding such a decomposition by minimizing a combination of entanglement growth and internal spreading of the system. Both of these properties are related to locality in different ways. This formalism could be relevant to the emergence of spacetime from quantum entanglement. (shrink)

There is a traditional theistic doctrine, known as the doctrine of divine simplicity, according to which God is an absolutely simple being, completely devoid of any metaphysical complexity. On the standard understanding of this doctrine—as epitomized in the work of philosophers such as Augustine, Anselm, and Aquinas—there are no distinctions to be drawn between God and his nature, goodness, power, or wisdom. On the contrary, God is identical with each of these things, along with anything else that can be (...) predicated of him intrinsically. (shrink)

The interactive theorem prover Isabelle/HOL is used to verify elementary theorems of classical extensional mereology.

In this paper I develop a version of universalism that is non-mereological. Broadly speaking, non-mereological universalism is the thesis that for any arbitrary set of objects and times, there is a persisting object which, at each of those times, will be constituted by those of the objects that exist at that time. I consider two general versions of non-mereological universalism, one which takes basic simples to be enduring objects, and the other which takes simples to be instantaneous (...) objects. This yields three versions of endurantism, of which I ultimately defend the version I call universalist endurantism. Universalist endurantism is the thesis that for any arbitrary set S of instantaneous simples that exist at the same instant, there exists a fusion of the members of S, and for any arbitrary set S* of instantaneous fusions each of which exist at a different instant, there exists an enduring object O that is constituted by those fusions at those instants. Universalist endurantism is ‘non-mereological’ in that the relation that holds between instantaneous fusions and persisting objects is not the part/whole relation, but rather, is the relation of constitution, thus allowing that the persisting objects are three rather than four dimensional. I argue that universalist endurantism not only has the various benefits of mereological universalism in allowing vagueness to be explicated as semantic indeterminacy, but in addition allows the endurantist to hold that some properties are genuinely intrinsic and are exemplified simpliciter. (shrink)

My interest in this chapter is to investigate this crossroad as applied to mental properties, considered powers. In particular, I scrutinize the possibility of taking the phenomenal property of feeling pain as a complex power or disposition. This possibility comes in handy in discussing panpsychism, the view that the ultimate elements of reality are phenomenal properties, which would ground physical properties as well.

Mereological nihilism is the philosophical position that there are no items that have parts. If there are no items with parts then the only items that exist are partless fundamental particles, such as the true atoms (also called philosophical atoms) theorized to exist by some ancient philosophers, some contemporary physicists, and some contemporary philosophers. With several novel arguments I show that mereological nihilism is the correct theory of reality. I will also discuss strong similarities that mereological nihilism (...) has with empirical results in quantum physics. And I will discuss how mereological nihilism vindicates a few other theories, such as a very specific theory of philosophical atomism, which I will call quantum abstract atomism. I will show that mereological nihilism also is an interpretation of quantum mechanics that avoids the problems of other interpretations, such as the widely known, metaphysically generated, quantum paradoxes of quantum physics, which ironically are typically accepted as facts about reality. I will also show why it is very surprising that mereological nihilism is not a widely held theory, and not the premier theory in philosophy. (shrink)

The goal of this paper is to raise a few questions about Bayne s mereological account of the unity of consciousness. In Section 1, I raise a few clarificatory questions about the account and the thesis that consciousness is necessarily unified. In Sections 2 and 3, I offer an alternative view of unity of consciousness and contrast it with Bayne's view. I call this view the connectivity account. These sections prepare the ground for the main question of this article: (...) why should we prefer Bayne's mereological view to the connectivity view? (shrink)

Discussions of divine simplicity generally overlook the distinction between identity claims that are reductivist and identity claims that are eliminativist. If, for instance, the identity claim that 'the chair = a configuration of particles' is merely reductive, then there exist chairs and there exist configurations of particles and it turns out that they are identical. The identity in this case does not reduce the ontological complexity of the world. But if the identity claim is eliminativist, then it is true (...) again that chairs are configurations of particles, but chairs do not in fact exist. The illusory object that we call a chair turns out to be nothing over and above a configuration of physical particles. The chair reduces to the configuration of particles without remainder. The defense of divine simplicity in this paper argues that it is in this eliminativist sense that God's intrinsic properties are identical to God. (shrink)

This article’s purpose is to defend the depiction of ordinary-sized physical objects as mereological aggregates (MAs), to clarify what the ontology of an MA is, and to show why mereological essentialism (ME) applies to MAs that seem to be ubiquitous if we are to adopt what Frank Jackson calls “Serious Metaphysics” and refuse to broaden our ontology beyond what is (allegedly) bequeathed to us by physics and chemistry. To accomplish this goal, first, I clarify certain background issues that (...) inform what follows and I identify certain constraints that relate to the contemporary ambivalence towards ME. Second, I present a primer on Husserlian mereology that provides a superior account of parts and wholes than the inadequate approach identified in the previous section. Third, I will offer a defense of ME as the correct approach to providing an ontological account of MAs. Finally, I will evaluate two defeaters against my thesis. (shrink)

It is well-known that the entangled quantum state of a composite object cannot be reduced to the states of its parts. This quantum holism provides a peculiar challenge to formulate an appropriate mereological model: When a system is in an entangled state, which objects are there on the micro and macro level, and which of the objects carries which properties? This paper chooses a modeling approach to answer these questions: It proceeds from a systematic overview of consistent mereological (...) models for entangled systems and discusses which of them is compatible with the quantum mechanical evidence (where quantum states are understood realistically). It reveals that entangled quantum systems neither describe undivided wholes nor objects that stand in irreducible relations. The appropriate model assumes that the entangled property is an irreducible non-relational plural property carried collectively by the micro objects, while there is no macro object. In this sense, quantum holism is an instance of property holism, not of object holism. (shrink)

The relative merits of standard mereology have received quite a bit of attention in recent years from metaphysicians concerned with the part/whole properties of material objects. A question that has not been pursued to the same degree, however, is what sort of semantic repercussions a commitment to mereological sums in the standard sense might have in particular on the predicted behavior of singular terms and our practices of using such terms to refer to objects. The apparent mismatch between our (...) actual referential practices and the persistence conditions attributed to material objects by the supporters of standard mereology puts these philosophers, other things being equal, at a disadvantage compared to those whose ontology matches more closely the observed behavior of singular terms, as they are commonly used in ordinary discourse. To alleviate this problem, David Lewis leans heavily on his distinction between natural and non-natural properties. I argue in this paper that Lewis’ already heavily burdened natural/non-natural distinction among properties is not enough to avoid Quinean indeterminacy for singular terms. Those who are in the business of giving an analysis of constructions involving full-fledged predication, as opposed to the mere spatial overlap of denotations, will thus want to go in for an ontology that places more stringent structural constraints on the referents of singular terms than would be supplied by standard mereology. (shrink)

How does Aristotle think about sentences like ‘Every x is y’ in the Prior Analytics? A recently popular answer conceives of these sentences as expressing a mereological relationship between x and y: the sentence is true just in case x is, in some sense, a part of y. I argue that the motivations for this interpretation have so far not been compelling. I provide a new justification for the mereological interpretation. First, I prove a very general algebraic soundness (...) and completeness result that unifies the most important soundness and completeness results to date. Then I argue that this result vindicates the mereological interpretation. In contrast to previous interpretations, this argument shows how Aristotle’s conception of predication in mereological terms can do important logical work. (shrink)

I demonstrate here that it is possible for an event to be identical with one of its proper parts, refuting the key premise in Lawrence Lombard's argument for the essentiality of an event's time. I also propose and defend an alternative to his criterion of event identity.

In this paper it is shown that Heyting and Co-Heyting mereological systems provide a convenient conceptual framework for spatial reasoning, in which spatial concepts such as connectedness, interior parts, (exterior) contact, and boundary can be defined in a natural and intuitively appealing way. This fact refutes the wide-spread contention that mereology cannot deal with the more advanced aspects of spatial reasoning and therefore has to be enhanced by further non-mereological concepts to overcome its congenital limitations. The allegedly unmereological (...) concept of boundary is treated in detail and shown to be essentially affected by mereological considerations. More precisely, the concept of boundary turns out to be realizable in a variety of different mereologically grounded versions. In particular, every part K of a Heyting algebra H gives rise to a well-behaved K-relative boundary operator. (shrink)

Comparing Buddhist and contemporary analytic views about mereological composition reveals significant dissimilarities about the purposes that constrain successful answers to mereological questions, the kinds of considerations taken to be probative in justifying those answers, and the value of mereological inquiry. I develop these dissimilarities by examining three questions relevant to those who deny the existence of composite wholes. The first is a question of justification: What justifies denying the existence of composite wholes as more reasonable than affirming (...) their existence? The second is a question of ontology: Under what conditions are many partless individuals arranged composite-wise? The third is a question of reasonableness: Why, if there are no composites available to experience, do “the folk” find it reasonable to believe there are? I motivate each question, sketch some analytic answers for each, develop in more detail answers from the Theravādin Buddhist scholar Buddhaghosa, and extract comparative lessons. (shrink)

When do several objects compose a further object? The last twenty years have seen a great deal of discussion of this question. According to the most popular view on the market, there is a physical object composed of your brain and Jeremy Bentham’s body. According to the second-most popular view on the market, there are no such objects as human brains or human bodies, and there are also no atoms, rocks, tables, or stars. And according to the third-ranked view, there (...) are human bodies, but still no brains, atoms, rocks, tables, or stars. Although it’s pleasant to have so many crazy-sounding views around, I think it would also be nice to have a commonsense option available. The aim of this paper is to offer such an option. The approach I offer begins by considering a mereological question other than the standard one that has been the focus of most discussions in the literature. I try to show that the road to mereological sanity begins with giving the most straightforward and commonsensical answer to this other question, and then extending that answer to further questions about the mereology of physical objects. On the approach I am recommending, it turns out that all of the mereological properties and relations of physical objects are determined by their spatial properties and relations. (shrink)

Mereological universalists and nihilists disagree on the conditions for composition. In this paper, we show how this debate is a function of one’s chosen semantics for plural quantifiers. Debating mereologists have failed to appreciate this point because of the complexity of the debate and extraneous theoretical commitments. We eliminate this by framing the debate between universalists and nihilists in a formal model where these two theses about composition are contradictory. The examination of the two theories in the model brings (...) clarity to a debate in which opponents frequently talk past one another. With the two views stated precisely, our investigation reveals the dependence of the mereologists’ ontological commitments on the semantics of plural quantifiers. Though we discuss the debate with respect to a simplified and idealized model, the insights provided will make more complex debates on composition more productive and deflationist criticisms of the debate less substantial. (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)

It is an axiom of late neoplatonic metaphysics that all things are in all, but in each in an appropriate manner (ὀικείως, ET 103). These manners or modes of being are indicated by adverbial forms such as παραδειματικῶς or εἰκονικῶς. Thus, for example, the Forms are in the World Soul in the mode of images, while the objects in the sensible realm below Soul are in it in the manner of paradigms (in Tim. II 150.27). Among the many modes of (...) being distinguished by Proclus we find existence ὁλικῶς and μερικῶς – in the manner of a whole and in the manner of a part. This paper investigates the nature and significance of these mereological modes of being. (shrink)

There has been little discussion of the compatibility of Theistic Conceptual Realism with the doctrine of divine simplicity. On the one hand, if a plurality of universals is necessary to explain the character of particular things, there is reason to think this commits the proponent of TCR to the existence of a plurality of divine concepts. So the proponent of the DDS has aprima faciereason to reject TCR. On the other hand, many mediaeval philosophers accept both the existence of (...) divine ideas and the DDS. In this article I draw on mediaeval and contemporary accounts of properties and divine simplicity to argue that the two theories are not logically incompatible. (shrink)

Some tools introduced by Linnebo to show that mathematical entities are thin objects can also be applied to non-mathematical entities, which have been thought to be thin as well for a variety of reasons. In this paper, I discuss some difficulties and opportunities concerning the application of abstraction and interpretational modalities to mereological sums. In particular, I show that on one hand some prima facie attractive candidates for the role of an explanatory plural abstraction principle for mereological sums (...) (in terms of pluralities of summed entities) are not really explanatory; on the other hand, singular abstraction principles (in terms of single summed entities) are materially inadequate. Nonetheless, explanatory criteria of identity and conditions of existence for mereological sums are provided by classical extensional mereology independent of abstraction principles. Thus, given classical extensional mereology, the reasons why, according to Linnebo, mathematical abstracted entities are thin also hold for mereological sums. Finally, I contend that interpretational modalities can be used to characterise the process by which a subject adds sums of previously admitted entities to the domain of quantification. (shrink)

This paper presents and defends an account of the coincidence of biological organisms with mereological sums of their material components. That is, an organism and the sum of its material components are distinct material objects existing in the same place at the same time. Instead of relying on historical or modal differences to show how such coincident entities are distinct, this paper argues that there is a class of physiological properties of biological organisms that their coincident mereological sums (...) do not have. The account answers some of the most pressing objections to coincidence, for example the so-called grounding problem , that material coincidence seems to require that coinciding objects have modal differences that do not supervene on any other properties. (shrink)

Endurantists have recently faced a mereological puzzle in various forms. Here I argue that, instead of presenting a genuine worry, the puzzle actually reveals a common misunderstanding about the endurantist ontology. Furthermore, through this discussion of the alleged problem and the misunderstanding which motivates it, I reveal metaphysical commitments the endurantist has that may not be widely recognized. For instance, she is committed to interesting and perhaps controversial views about shape and location. I highlight these commitments and what they (...) mean for the endurantist. (shrink)

According to Richard Swinburne, the principle of simplicity is of great importance to theory choice scenarios and theoretical changes in the sciences. In particular, he holds that the theory choice criterion of fit with background evidence can be reduced to the criteria of simplicity and of yielding the data. We will, however, rebut this reduction thesis and show that three central aspects of theoretical change (confirming power of empirical data, reliability of experimental methods, and truth of new theoretical (...) proposals) cannot be adequately reconstructed if simplicity is regarded as a key criterion of theory choice. (shrink)

In this paper I present two new arguments against the possibility of an omniscient being. My new arguments invoke considerations of cardinality and resemble several arguments originally presented by Patrick Grim. Like Grim, I give reasons to believe that there must be more objects in the universe than there are beliefs. However, my arguments will rely on certain mereological claims, namely that Classical Extensional Mereology is necessarily true of the part-whole relation. My first argument is an instance of a (...) problem first noted by Gideon Rosen and requires an additional assumption about the mereological structure of certain beliefs. That assumption is that an omniscient being’s beliefs are mereological simples. However, this assumption is dropped when I present my second argument. Thus, I hope to show that if Classical Extensional Mereology is true of the part-whole relation, there cannot be an omniscient being. (shrink)

In this paper I offer an argument against one important version of panentheism, that is, mereological panentheism. Although panentheism has proven difficult to define, I provide a working definition of the view, and proceed to argue that given this way of thinking about the doctrine, mereological accounts of panentheism have serious theological drawbacks. I then explore some of these theological drawbacks. In a concluding section I give some reasons for thinking that the classical theistic alternative to panentheism is (...) preferable, all things considered. (shrink)

In Mathematics is megethology. Philosophia Mathematica, 1, 3–23) David K. Lewis proposes a structuralist reconstruction of classical set theory based on mereology. In order to formulate suitable hypotheses about the size of the universe of individuals without the help of set-theoretical notions, he uses the device of Boolos’ plural quantification for treating second order logic without commitment to set-theoretical entities. In this paper we show how, assuming the existence of a pairing function on atoms, as the unique assumption non expressed (...) in a mereological language, a mereological foundation of set theory is achievable within first order logic. Furthermore, we show how a mereological codification of ordered pairs is achievable with a very restricted use of the notion of plurality without plural quantification. (shrink)

When Aristotle introduces the perfect moods, he refers back to the dictum de omni et nullo, a semantic condition for universal affirmations and negations. There recently has been renewed interest in the question whether the dictum validates the assertoric syllogistic. I rehearse evidence that Aristotle provides a mereological semantics for universal affirmations and negations, and note that this semantics entails a nonstandard reading of the dictum, under which the dictum, in the presence of a minimal logical apparatus, indeed validates (...) the assertoric syllogistic. I argue that this mereological validation offers advantages over recent discussions in Morison, Malink, Ebert and Vlasits. (shrink)

This paper gives a fIrst overview over the role of mereology the theory of parts and wholes - in semiotics. The mereology of four major semioticians - Husserl, Jakobson, Hjelmslev, and Peirce is presented briefly and its role in the overall architecture of each of their theories is outlined - with Brentano tradition as reference. Finally, an evaluation of the strength and weaknesses of the four is undertaken, and some guidelines for further research is proposed.

Standard approaches to ontological simplicity focus either on the number of things or types a theory posits or on the number of fundamental things or types a theory posits. In this paper, I suggest a ground-theoretic approach that focuses on the number of something else. After getting clear on what this approach amounts to, I motivate it, defend it, and complete it.

Mereological universalists, according to whom every plurality of entities has a fusion, usually claim that most quantifications are restricted to ordinary entities. However, there is no evidence that our usual quantifications over ordinary objects are restricted. In this article I explore an alternative way of reconciling Mereological Universalism with our usual quantifications. I resort to a modest form of ontological expansionism and to the so-called interpretational modalities. Quantifications over ordinary objects are the initial stages of the expansion. From (...) these initial stages, expansions can proceed upwards (fusions of entities in the domain of quantification are added), downwards (parts of entities in the domain are added), and sidewards (entities which are mereologically disjoint from the entities in the domain are added). These expansions are driven by a variety of epistemic and pragmatic reasons and raise different kinds of problems. At each stage, a modalized version of Mereological Universalism is true. By contrast, only at some especially rich stages, standard, non-modalized Mereological Universalism is true as well. Among these especially rich stages, there is a final, metaphysically pre-eminent stage of mereological plenitude. In the last part of the article I discuss some problems and limitations of expansionism. (shrink)