(Mereological) nihilism states that there are no composite objects—there are only sub-atomic particles such as quarks. Nihilism’s biggest rival, (mereological) universalism, posits vast numbers of composite objects in addition to the sub-atomic particles, and so nihilism appears to be the more ontologically parsimonious of the two theories. If this is the case, it’s a significant result for the nihilist: ontological parsimony is almost always thought to be a theoretical virtue, so a nihilist victory in the parsimony stakes gives (...) us a defeasible reason to be nihilists. But things aren’t so straightforward. Karen Bennett (2009) has argued that nihilism is no more quantitatively parsimonious than universalism. Furthermore, her argument can be redirected so that it threatens the nihilist’s perceived advantage over universalism in the qualitative parsimony stakes too. I here argue that these arguments are flawed and that nihilism is indeed more quantitatively and qualitatively parsimonious than universalism. (shrink)

There’s a common line of reasoning which supposes that the phenomenal unity of conscious experience is grounded in a mind-like simple subject. To the contrary, Mādhyamika Buddhist philosophers like Śrīgupta (seventh–eighth century) argue that any kind of mental simple is incoherent and thus metaphysically impossible. Lacking any unifying principle, the phenomenal unity of conscious experience is instead an unfounded illusion. In this paper, I present an analysis of Śrīgupta’s "neither-one-nor-many argument" against mental simples and show how his line of (...) reasoning is driven by a set of implicit questions concerning the nature of and relation between consciousness and its intentional object. These questions not only set the agenda for centuries of intra-Buddhist debate on the topic, but they are also questions to which any defender of unified consciousness or a simple subject of experience arguably owes responses. (shrink)

A number of philosophers have argued in favour of extended simples on the grounds that they are needed by fundamental physics. The arguments typically appeal to theories of quantum gravity. To date, the argument in favour of extended simples has ignored the fact that the very existence of spacetime is put under pressure by quantum gravity. We thus consider the case for extended simples in the context of different views on the existence of spacetime. We show that (...) the case for extended simples based on physics is far more complex than has been previously thought. We present and then map this complexity, in order to present a much more textured picture of the argument for extended simples. (shrink)

Leibniz famously argues that there must be simple substances, since there are composites, and a composite is nothing but a collection of simples. I reconstruct Leibniz’s argument, showing that it relies on a commitment to mereological nihilism (i.e., the view that composites cannot be true beings). I show further that Leibniz endorses mereological nihilism as early as the 1680s and offers both direct and indirect support for this commitment: indirect support via the notion of unity and direct (...) support via the notion of persistence. I then assess the alignment of Leibniz’s mereological nihilism with his other commitments during the 1680s, including his potential commitment to corporeal substances. I argue that any viable interpretation of Leibniz’s commitment to corporeal substances is compatible with mereological nihilism, which provides a new perspective both on Leibniz’s developing theory of substance and on his mature theory of simple substance. (shrink)

This peer reviewed reference article is an annotated online bibliography on mereology with 80+ entries. It's aim is to provide a selective and balanced guide to the subject. It contains thematic headings with commentaries. The reader should come away cognizant of what the most influential work in mereology are. Topics highlighted herein include, but are not limited to: the history of mereology, classical extensional mereology and its challenges, parthood, connections with location relations, mereological simples and gunk, composition as (...) identity, as well as mereological essentialism, nihilism, and universalism. (shrink)

Here is a question about mereological simples that I raised in a recent paper.

Mereological nihilism is the view that there are no composite objects; everything in existence is mereologically simple. The view is subject to a number of difficulties, one of which concerns what I call the problem of emergence. Very briefly, the problem is that nihilism seems to be incompatible with emergent properties; it seems to rule out their very possibility. This is a problem because there are good independent reasons to believe that emergent properties are possible. This paper provides a (...) solution to the problem. I will show that nihilism and emergence are perfectly compatible, providing one accepts a novel understanding of how objects can instantiate properties: what I call irreducibly collective instantiation. (shrink)

I argue that there are is no informative statement of necessary and sufficient conditions for being a mereological simple.

Classical mereology is a formal theory of the part-whole relation, essentially involving a notion of mereological fusion, or sum. There are various different definitions of fusion in the literature, and various axiomatizations for classical mereology. Though the equivalence of the definitions of fusion is provable from axiom sets, the definitions are not logically equivalent, and, hence, are not inter-changeable when laying down the axioms. We examine the relations between the main definitions of fusion and correct some technical errors in (...) prominent discussions of the axiomatization of mereology. We show the equivalence of four different ways to axiomatize classical mereology, using three different notions of fusion. We also clarify the connection between classical mereology and complete Boolean algebra by giving two "neutral" axiom sets which can be supplemented by one or the other of two simple axioms to yield the full theories; one of these uses a notion of "strong complement" that helps explicate the connections between the theories. (shrink)

Mereological realism holds that the world has a mereological structure – i.e. a distribution of mereological properties and relations. In this article, I defend Eleaticism about properties, according to which there are no causally inert non-logical properties. I then present an Eleatic argument for mereological anti-realism, which denies the existence of both mereological composites and mereological simples. After defending Eleaticism and mereological anti-realism, I argue that mereological anti-realism is preferable to (...) class='Hi'>mereological nihilism. I then conclude by examining the thesis that composition is identity and noting its consequences for the question of mereological structure. (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 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)

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 (i) for any arbitrary set S of instantaneous simples that exist at the same instant, there exists a fusion of the members of S, and (ii) 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)

Spinoza seems to argue both that “God or Nature” is mereologically simple, and that this being is mereologically complex insofar as it is composed of parts. This chapter proposes on Spinoza's behalf a resolution of this antinomy. This resolution focuses on Spinoza's mereology of the material world. It offers an alternative interpretation according to which Spinoza adheres both to the indivisibility of extended substance and to the reality of the finite modal parts that compose an infinite modal whole. In the (...) Oldenburg Letter, Spinoza claims that “concerning whole and parts, the chapter considers things as parts of some whole to the extent that the nature of the one so adapts itself to the nature of the other so that they agree with one another as far as possible”. The chapter argues that a similar assumption underlies Peterson's argument against the reality in Spinoza of divisible spatial quantity. (shrink)

Mereological nihilism is the thesis that there are no composite objects—i.e. objects with proper material parts. One of the main advantages of mereological nihilism is that it allows its supporters to avoid a number of notorious philosophical puzzles. However, it seems to offer this advantage only at the expense of certain widespread and deeply entrenched beliefs. In particular, it is usually assumed that mereological nihilism entails eliminativism about ordinary objects—i.e. the counterintuitive thesis that there are no such (...) things as tables, apples, cats, and the like. In this paper, I argue that this assumption is false—mereological nihilists do not need to be eliminativists about tables, apples, or cats. Non-eliminativist nihilists claim that all it takes for there to be a cat is that there are simples arranged cat-wise. More specifically, non-eliminative nihilists argue that expressions such as ‘the cat’ in sentences such as ‘The cat is on the mat’ do not refer to composite objects but only to simples arranged cat-wise and compare this metaphysical discovery to the scientific discovery that ‘water’ refers to dihydrogen oxide. Non-eliminative nihilism, I argue, is not only a coherent position, but it is preferable to its more popular, eliminativist counterpart, as it enjoys the key benefits of nihilism without incurring the prohibitive costs of eliminativism. Moreover, unlike conciliatory strategies adopted by eliminative nihilists, non-eliminative nihilism allow its supporters to account not only for how we can assert something true by saying ‘The cat is on the mat’ but also for how we can believe something true by believing that the cat is on the mat. (shrink)

The idea that there could be spatially extended mereological simples has recently been defended by a number of metaphysicians (Markosian 1998, 2004; Simons 2004; Parsons (2000) also takes the idea seriously). Peter Simons (2004) goes further, arguing not only that spatially extended mereological simples (henceforth just extended simples) are possible, but that it is more plausible that our world is composed of such simples, than that it is composed of either point-sized simples, or (...) of atomless gunk. The difficulty for these views lies in explaining why it is that the various sub-volumes of space occupied by such simples, are not occupied by proper parts of those simples. Intuitively at least, many of us find compelling the idea that spatially extended objects have proper parts at every sub-volume of the region they occupy. It seems that the defender of extended simples must reject a seemingly plausible claim, what Simons calls the geometric correspondence principle (GCP): that any (spatially) extended object has parts that correspond to the parts of the region that it occupies (Simons 2004: 371). We disagree. We think that GCP is a plausible principle. We also think it is plausible that our world is composed of extended simples. We reconcile these two notions by two means. On the one hand we pay closer attention to the physics of our world. On the other hand, we consider what happens when our concept of something—in this case space—contains elements not all of which are realized in anything, but instead key components are realized in different features of the world. (shrink)

I present a possible worlds semantics for a hyperintensional belief revision operator, which reduces the logical idealization of cognitive agents affecting similar operators in doxastic and epistemic logics, as well as in standard AGM belief revision theory. (Revised) belief states are not closed under classical logical consequence; revising by inconsistent information does not perforce lead to trivialization; and revision can be subject to ‘framing effects’: logically or necessarily equivalent contents can lead to different revisions. Such results are obtained without resorting (...) to non-classical logics, or to non-normal or impossible worlds semantics. The framework combines, instead, a standard semantics for propositional S5 with a simple mereology of contents. (shrink)

Both extended simples and unextended complexes have been extensively discussed and widely used in metaphysics and philosophy of physics. However, the characterizations of such notions are not entirely satisfactory inasmuch as they rely on a mereological notion of extension that is too simplistic. According to such a mereological notion, being extended boils down to having a mereologically complex exact location. In this paper, I make a detailed plea to supplement this notion of extension with a different one (...) that is phrased in terms of measure theory. This proposal has significant philosophical payoffs. I provide new characterizations of both extended simples and unextended complexes, that help re-evaluating the question of whether such entities are metaphysically possible. Finally, I advance several suggestions as to how different notions of extension relate, first, to one another and, second, to mereological structure. (shrink)

Late Lowe’s metaphysics of material objects is an interesting multi-thingist theory that still attracts interest from various authors. The core idea is that ifxmaterially constitutesy, thexis a proper part ofy. I discuss some mereological issues that arise from the approach and propose a revision of the mereology associated. Particularly, I examine the tenability of a number of supplementation principles and conclude that just one may serve the theory adequately. Still, the endorsement of such a principle does not come for (...) free. Successively, I address the derivability of an important extensionality theorem and conclude that the theorem must be taken as an axiom in the mereology at stake. Lastly, I discuss two notable definitions of mereological fusions to assess which one best suits the present theory. The result is that authors sharing Lowe’s multi-thingist conception of material objects can still enjoy a moderately strong mereology. (shrink)

In the debate over the existence of composite objects, it is sometimes suggested that perceptual evidence justifies belief in composite objects. But it is almost never suggested that we are perceptually justified in believing in composite objects on the basis of the fact that the phenomenology of our perceptual experiences enables us to discriminate between situations where there are composite objects and situations where there are merely simples arranged composite object-wise. But while the thought that the phenomenology of our (...) perceptual experiences cannot enable us to discriminate between situations where there are composite objects and situations where there are merely simples arranged composite object-wise is commonly taken for granted, it requires some defence, both in light of its importance in shaping the debate and in light of its recently coming under attack by a prominent philosopher of perception. In this paper, I offer such a defence. (shrink)

En aquest article pretenc fer una crítica al nihilisme mereològic, al·ludint que les expressions «simples agrupats en-tant-que-F» tenen unes conseqüències desastroses per als seus compromisos ontològics. Primer, explicaré què és el nihilisme mereològic -que és part de l’eliminativisme- el qual pretén negar l’existència dels objectes compostos (objectes amb parts pròpies) i l’estratègia de la paràfrasi: l’ús que fan de les expressions «simples agrupats en-tant-que-F» per referir-se als objectes ordinaris sense comprometre’s amb l’existència d’objectes compostos, però posaré l’èmfasi en (...) aquells nihilistes mereològics que pretenen explicar l’existència de les propietats emergents. Seguidament, presentaré una classe de crítiques, les de Bennett i Tallant, sobre l’ús d’aquesta estratègia per part dels nihilistes, i quina és la resposta crítica que ofereix Brenner sobre aquesta classe de crítica. Finalment, presentaré la meva crítica on mostraré que el nihilisme mereològic utilitzant l’estratègia de la paràfrasi s’està comprometent amb l’existència d’objectes compostos i que la crítica de Brenner no funciona amb la meva postura. -/- In this paper I intend to critique mereological nihilism, alluding that the expression «simples arranged F-wise» has disastrous consequences for its ontological commitments. First, I will explain what mereological nihilism is -which is part of Eliminativism- which tries to deny the existence of composite objects (objects with proper parts) and the Paraphrase Strategy: the use they make of the expression «simples arranged F-wise» to refer to ordinary objects without committing to the existence of composite objects, and I put the focus on the mereological nihilist that pretends to explain the existence of emergent properties. Second, I will present a kind of criticism, by Bennett and Tallant, of the use of this strategy by nihilism and which is the response of Brenner about this kind of criticism. Finally, I will present my criticism where I will show that nihilism by using the Paraphrase Strategy is committing itself to the existence of composite objects and that the Brenner’s critique does not work with my position. (shrink)

I give reasons to suggest that the various ‘homogeneous substance’ objections to perdurance theory should not be regarded as raising serious difficulties. The main strategy is to show that there are equally exotic possibilities involving extended mereological simples that may turn the tables on the endurance theorist, insofar as she will have difficulties with these cases analogous to those she raises for the perdurantist. I conclude that such exotic cases are less useful that we might suppose in adjudicating (...) between these competing doctrines of persistence. (shrink)

Some Trinitarians, such as Thomas Aquinas, wish to claim that God is mereologically simple; that is, God has no parts distinct from Himself. In this paper, I present Simple Trinitarianism, a view that takes God to be simple but, diverging from Aquinas, does not identify the Father, Son, and Holy Spirit with anything in our ontology. Nonetheless, Simple Trinitarians would like Trinitarian sentences to be true; thus, they must give a non-standard semantics for those sentences. I will focus on one (...) possible semantics a Simple Trinitarian may give: taking Trinitarian claims to be translatable into feature-placing sentences, which posit property instantiation without requiring commitment to any objects that instantiate those properties. (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)

Neuroscientist Maxwell Bennett and philosopher Peter Hacker defend the need to eradicate the mereological fallacy of cognitive neuroscience. This fallacy attributes to the parts of an animal psychological predicates that make sense only when applied to the whole animal. In contrast, philosopher Daniel Dennett argues that it is possible to explain behavior and cognitive abilities by applying the Intentional Stance to the brain, a stance that attributes increasingly simple psychological capacities to increasingly less intelligent homunculi. So, among other things, (...) taking the intentional stance requires i) attributing psychological predicates to the brain and its parts, and ii) gradually replacing psychological predicates with non-psychological predicates.If the criticism of Bennett and Hacker is accepted, these requirements lead to two dilemmas. According to the first, the intentional stance would be inapplicable or fallacious: because it implies incurring in the mereological fallacy, and to deny is equivalent to rejecting the intentional stance. The horns of the second dilemma are dualism and explanatory vacuity: can be interpreted in a dualistic sense because it presupposes the distinction between psychological and non-psychological predicates; however, failing to respect generates an infinite regress. In this article I intend to show that both dilemmas are resolved by focusing on the details of the relationship between the intentional stance and the design stance. (shrink)

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.

Armstrong’s combinatorial theory of possibility faces the obvious difficulty that not all universals are compatible. In this paper I develop three objections against Armstrong’s attempt to account for property incompatibilities. First, Armstrong’s account cannot handle incompatibilities holding among properties that are either simple, or that are complex but stand to one another in the relation of overlap rather than in the part/ whole relation. Secondly, at the heart of Armstrong’s account lies a notion of structural universals which, building on an (...) objection by David Lewis, is shown to be incoherent. I consider and reject two alternative ways of construing the composition of structural universals in an attempt to meet Lewis’ objection. An important consequence of this is that all putative structural properties are in fact simple. Finally, I argue that the quasi-mereological account presupposes modality in a way that undermines the reductionist aim of the combinatorialist theory of which it is a central part. I conclude that Armstrong’ quasi-mereological account of property incompatibility fails. Without that account, however, Armstrong’s combinatorial theory either fails to get off the ground, or else must give up its goal of reducing the notion of possibility to something non-modal. (shrink)

I argue that the assumptions that physically basic things are either mereologically atomic, or that they are continuous and there are no atoms, both face difficult conceptual problems. Both views tend to presuppose a largely unquestioned assumption, that things have parts corresponding to the geometric parts of the regions they occupy. To avoid these problems I propose a third view, that physically simple things occupy a finite volume without themselves having parts. This view is examined enough to tease out some (...) of its consequences and show that it withstands the obvious questions it faces. I conclude by mentioning some precedents for this view in Democritus, Kant, and Whitehead, with close variants in Boscovich, Harré, and Markosian. (shrink)

I argue that the assumptions that physically basic things are either mereologically atomic, or that they are continuous and there are no atoms, both face difficult conceptual problems. Both views tend to presuppose a largely unquestioned assumption, that things have parts corresponding to the geometric parts of the regions they occupy. To avoid these problems I propose a third view, that physically simple things occupy a finite volume without themselves having parts. This view is examined enough to tease out some (...) of its consequences and show that it withstands the obvious questions it faces. I conclude by mentioning some precedents for this view in Democritus, Kant, and Whitehead, with close variants in Boscovich, Harré, and Markosian. (shrink)

Suppose that a material object is gunky: all of its parts are located in space, and each of its parts has a proper part. Does it follow from this hypothesis that the space in which that object resides must itself be gunky? I argue that it does not. There is room for gunky objects in a space that decomposes without remainder into mereological simples.

Either from concrete examples such as tomatoes on a plate, an egg carton full of eggs and so on, or simply because of the braces notation, we come to have some intuitions about the sorts of things sets might be. (See Maddy 1990.) First we tend to think of a set of particulars as itself a particular thing.. Second, even after the distinction between settheory and mereology has been carefully explained we tend to think of the members of a set (...) as in some sense parts. And third we tend to think that there is something represented by the braces. Now if there were experts who got their intuitions from elsewhere then we could discard these rather crude ideas about egg cartons and so on. But I suspect the intuitions of experts are, just like those of the rest of us, based on notation and simple examples. (shrink)

The notion of an extended simple region (henceforth ESR) has recently been marshalled in the service of arguments for a variety of conclusions. Exactly how to understand the idea of extendedness as it applies to simple regions, however, has been largely ignored, or, perhaps better, assumed. In this paper we first (§1) outline what we take to be the standard way that philosophers are thinking about extendedness, namely as an intrinsic property of regions. We then introduce an alternative picture (§2), (...) according to which extendedness is extrinsic. In §3 we argue that it matters which way of thinking about extendedness is the right one, since how ESRs behave is sensitive to what extendedness consists in, and various arguments that appeal to ESRs turn out to be unsound if extendedness is extrinsic rather than intrinsic. (shrink)

Hylomorphism is the theory that objects are composites of form and matter. Recently it has been argued that form is structure, or the arrangement of an object's parts. This paper shows that the principle of form cannot be ontologically exhausted by structure. That is, I deny form should be understood just as the arrangement of an object's parts. I do so by showing that structure cannot play the role form is supposed to in a certain domain of objects, specifically, in (...) mereological simples. Thus, I show that Hylomorphism does not reduce to Structuralism. I also draw out some important consequences from my argument for Hylomorphism in general. (shrink)

Here's an interesting question: what are we? David Barnett has claimed that reflection on consciousness suggests an answer: we are simple. Barnett argues that the mereological simplicity of conscious beings best explains the Datum: that no pair of persons can itself be conscious. In this paper, I offer two alternative explanations of the Datum. If either is correct, Barnett's argument fails. First, there aren't any such things as pairs of persons. Second, consciousness is maximal; no conscious thing is a (...) proper part of another conscious thing. I conclude by showing how both moves comport with materialist theories of what we are and then apply them to another anti-materialist argument. (shrink)

Under what conditions are material objects, such as particles, parts of a whole object? This is the composition question and is a longstanding open question in philosophy. Existing attempts to specify a non-trivial restriction on composition tend to be vague and face serious counterexamples. Consequently, two extreme answers have become mainstream: composition (the forming of a whole by its parts) happens under no or all conditions. In this paper, we provide a self-contained introduction to the integrated information theory of consciousness (...) (IIT). We show that IIT specifies a non-trivial restriction on composition: composition happens when integrated information is maximized. We compare the IIT-restriction to existing proposals and argue that the IIT-restriction has significant advantages, especially in response to the problems of vagueness and counterexamples. An appendix provides an introduction to calculating parts and wholes with a simple system. (shrink)

It is sometimes claimed that string theory posits a fundamental ontology including extended mereological simples, either in the form of minimum-sized regions of space or of the strings themselves. But there is very little in the actual theory to support this claim, and much that suggests it is false. Extant string theories treat space as a continuum, and strings do not behave like simples.

According to the thesis known as ‘Composition as Identity’ (‘CAI’), every entity is identical to the parts it fuses. Many authors in the literature acknowledge that, in spite of its controversial character, one attractive virtue of CAI is its apparent ability to give a straightforward account of the innocence of mereology. In this paper I will present a simple argument according to which CAI entails that no composite entity can be said to be ontologically innocent in the relevant sense. After (...) having shown that said argument is independent from the problems surrounding the infamous ‘Collapse Principle’, I will conclude that CAI-theorists should endorse a suitably ‘restricted’ version of CAI. In the final part of the paper I will then argue that the best restricted version of CAI is the theory according to which every composite entity is identical to the plurality of its atomic parts. (shrink)

This volume offers a fresh exploration of the parts-whole relations within a power and among powers. While the metaphysics of powers has been extensively examined in the literature, powers have yet to be studied from the perspective of their mereology. Powers are often assumed to be atomic; and yet what they can do--and what can happen to them--is complex. But if powers are simple, how can they have complex manifestations? Can powers have parts? According to which rules of composition do (...) powers compose into powers? Given the centrality of powers in current scientific as well as philosophical thought, recognizing and understanding the ontological differences between atomic and mereologically complex powers is important, for both philosophy and science. The first section of this book explores how powers divide; the second section how powers compose. The final section showcases some specific study cases in the domains of quantum mechanics and psychology. Powers, Parts and Wholes will be of interest to professional philosophers and graduate students working in metaphysics, philosophy of science and logic. (shrink)

Wittgenstein took the _Tractatus Logico-Philosophicus_ to be eventually invalidated by logical atomism. Our main thesis is that it can be revalidated, provided that we subtract the thesis 2.02 (“The object is simple.”) from it: atoms are not simple objects but, rather, bits of information the objects are made of. Starting from an introductory discussion about what is meant by a ‘logic of colors’, an explanatory framework is then proposed in the form of a partition semantics. The philosophical problem of Wittgenstein’s (...) color-statements is reformulated accordingly, thus overcoming the trouble with logical atomism. A Boolean treatment is advanced to solve the initial difficulty and leads to two final results: Wittgenstein’s logic of colors requires a mereological understanding of the relations between colors in order to make sense; the analysis of psychophysical concepts like colors casts some additional doubt about the analytic–synthetic distinction, to the point of treating relations between colors as analytic a posteriori judgments. (shrink)

Is it possible that there are extended simples—material objects extended in space or spacetime that have no proper parts? The most commonly cited argument for this possibility is based on a version of the Humean principle: namely (and with some qualifications), any pattern of instantiation of a fundamental relation is possible. In this paper, we make the Humean argument fully explicit, and criticise it from three aspects—the Disjunction problem, the Pluralist problem, and the Accidentality problem. First, the original argument (...) only shows a disjunctive thesis: either extended simples are possible, or unextended complexes are possible. In order to reach the desired conclusion, some additional premise is needed. Yet, even though we agree that the Disjunction problem can be met, we argue that the Humean argument fails to establish the possibility of extended simples, for two reasons: the first comes from compositional pluralism, and the second is about the definition of accidental properties. We contend that the latter two problems put the proponents of the Humean argument in serious difficulty. Thus, metaphysicians who hold that there are extended simples should find better arguments for this view. (shrink)

In 1929 Tarski showed how to construct points in a region-based first-order logic for space representation. The resulting system, called the geometry of solids, is a cornerstone for region-based geometry and for the comparison of point-based and region-based geometries. We expand this study of the construction of points in region-based systems using different primitives, namely hyper-cubes and regular simplexes, and show that these primitives lead to equivalent systems in dimension n ≥ 2. The result is achieved by adopting a single (...) set of definitions that works for both these classes of figures. The analysis of our logics shows that Tarski’s choice to take sphere as the geometrical primitive might be intuitively justified but is not optimal from a technical viewpoint. (shrink)

The Simple Question (SQ) asks: “What are the necessary and jointly sufficient conditions any x must satisfy in order for it to be true that x is a simple?” The main motivation for asking SQ stems from the hope that it could teach us important lessons for material-object ontology. It is universally accepted that a proper answer to it has to be finite, complete and devoid of mereological expressions. This paper argues that we should stop treating SQ as the (...) central question to be asked about simples; there are a plethora of questions about simples that may even be addressed without answering the original question. The paper closes with some tentative remarks on how this lesson could be extended to van Inwagen’s Special Composition Question. (shrink)

This monograph includes an analysis of the Commentary on the Introduction to Reality (Tattvāvatāravṛtti) by the Indian Madhyamaka Buddhist philosopher, Śrīgupta (7th/8th century), together with a Tibetan critical edition and annotated translation of this text, which has never before been available in English. In this work, Śrīgupta advances the “neither-one-nor-many argument,” which sets out to prove that all things lack ontological independence, and by implication, that everything depends for its existence on something else. I present a detailed reconstruction and analysis (...) of the argument, showing how Śrīgupta rejects the possibility of ontological independence by way of rejecting the possibility of mereological simples, both material and immaterial. Śrīgupta's other important philosophical contributions are brought to light, including his influential threefold criterion for conventional reality (saṃvṛtisatya) and his argument for the possibility of conceptual enlightened cognition (vikalpajñāna), which is standardly supposed to be non-conceptual. (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)