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Parts: a study in ontology

New York: Oxford University Press (1987)

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  1. On referring to Gestalts.Olav K. Wiegand - 2010 - In Mirja Hartimo (ed.), Phenomenology and mathematics. London: Springer. pp. 183--211.
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  • Divine Simplicity.Joshua Reginald Sijuwade - 2022 - European Journal for Philosophy of Religion 14 (1):143-179.
    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.
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  • Undetached Parts and Disconnected Wholes.Achille C. Varzi - 2013 - In Christer Svennerlind, Almäng Jan & Rögnvaldur Ingthorsson (eds.), Johanssonian Investigations: Essays in Honour of Ingvar Johansson on His Seventieth Birthday. Ontos Verlag. pp. 696–708.
    I offer a diagnosis of the parallelism between the Doctrine of Potential Parts and the Doctrine of Potential Wholes and briefly examine its bearing on Johansson’s account of the Tibbles-Tib Problem.
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  • Nihilism, But Not Necessarily.Naomi Dershowitz - 2020 - Erkenntnis:1-16.
    It’s widely accepted that we have most reason to accept theories that best fulfill the following naturalistically respectable criteria: internal consistency, consistency with the facts, and exemplification of the theoretical virtues. It’s also widely accepted that metaphysical theories are necessarily true. I argue that if you accept the aforementioned criteria, you have most reason to reject that metaphysical theories are necessarily true. By applying the criteria to worlds that are all prima facie possible, I show that contingent local matters of (...)
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  • Nihilism, But Not Necessarily.Naomi Dershowitz - 2022 - Erkenntnis 87 (5):2441-2456.
    It’s widely accepted that we have most reason to accept theories that best fulfill the following naturalistically respectable criteria: (1) internal consistency, (2) consistency with the facts, and (3) exemplification of the theoretical virtues. It’s also widely accepted that metaphysical theories are necessarily true. I argue that if you accept the aforementioned criteria, you have most reason to reject that metaphysical theories are necessarily true. By applying the criteria to worlds that are all prima facie possible, I show that contingent (...)
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  • Fission and Confusion.David Hershenov & Rose J. Koch-Hershenov - 2006 - Christian Bioethics 12 (3):237-254.
    Catholic opponents of abortion and embryonic stem cell research usually base their position on a hylomorphic account of ensoulment at fertilization. They maintain that we each started out as one-cell ensouled organisms. Critics of this position argue that it is plagued by a number of intractable problems due to fission (twinning) and fusion. We're unconvinced that such objections to early ensoulment provide any reason to doubt the coherence of the hylomorphic account. However, we do maintain that a defense of ensoulment (...)
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  • Do Events Have Their Parts Essentially?Paul R. Daniels & Dana Goswick - 2017 - Acta Analytica 32 (3):313-320.
    We argue that mereological essentialism for events is independent of mereological essentialism for objects, and that the philosophical fallout of embracing mereological essentialism for events is minimal. We first outline what we should consider to be the parts of events, and then highlight why one would naturally be inclined to think that the object-question and the event-question are linked. Then, we argue that they are not. We also diagnose why this is the case and emphasize the upshot. In particular, we (...)
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  • The Limit Decision Problem and Four-Dimensionalism.Costa Damiano - 2017 - Vivarium 55 (1-3):199-216.
    I argue that medieval solutions to the limit decision problem imply four-dimensionalism, i.e. the view according to which substances that persist through time are extended through time as well as through space, and have different temporal parts at different times.
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  • A formal framework for the study of the notion of undefined particle number in quantum mechanics.Newton C. A. da Costa & Federico Holik - 2015 - Synthese 192 (2):505-523.
    It is usually stated that quantum mechanics presents problems with the identity of particles, the most radical position—supported by E. Schrödinger—asserting that elementary particles are not individuals. But the subject goes deeper, and it is even possible to obtain states with an undefined particle number. In this work we present a set theoretical framework for the description of undefined particle number states in quantum mechanics which provides a precise logical meaning for this notion. This construction goes in the line of (...)
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  • A formal framework for the study of the notion of undefined particle number in quantum mechanics.Federico Holik & Newton C. A. da Costa - 2015 - Synthese 192 (2):505-523.
    It is usually stated that quantum mechanics presents problems with the identity of particles, the most radical position—supported by E. Schrödinger—asserting that elementary particles are not individuals. But the subject goes deeper, and it is even possible to obtain states with an undefined particle number. In this work we present a set theoretical framework for the description of undefined particle number states in quantum mechanics which provides a precise logical meaning for this notion. This construction goes in the line of (...)
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  • ‘Wholly Present’ Defined.Thomas M. Crisp & Donald P. Smith - 2005 - Philosophy and Phenomenological Research 71 (2):318–344.
    Three-dimensionalists , sometimes referred to as endurantists, think that objects persist through time by being “wholly present” at every time they exist. But what is it for something to be wholly present at a time? It is surprisingly difficult to say. The threedimensionalist is free, of course, to take ‘is wholly present at’ as one of her theory’s primitives, but this is problematic for at least one reason: some philosophers claim not to understand her primitive. Clearly the three-dimensionalist would be (...)
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  • Biological-mereological coincidence.Judith K. Crane - 2012 - Philosophical Studies 161 (2):309-325.
    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 (...)
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  • The Way of Actuality.Sam Cowling - 2014 - Australasian Journal of Philosophy 92 (2):231-247.
    In this paper, I defend an indexical analysis of the abstract-concrete distinction within the framework of modal realism. This analysis holds the abstract-concrete distinction to be conceptually inseparable from the distinction between the actual and the merely possible, which is assumed to be indexical in nature. The resulting view contributes to the case for modal realism by demonstrating how its distinctive resources provide a reductive analysis of the abstract-concrete distinction. This indexical analysis also provides a solution to a sceptical problem (...)
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  • Universalism and Junk.A. J. Cotnoir - 2014 - Australasian Journal of Philosophy 92 (4):649-664.
    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 (...)
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  • Strange Parts: The Metaphysics of Non‐classical Mereologies.Aaron Cotnoir - 2013 - Philosophy Compass 8 (9):834-845.
    The dominant theory of parts and wholes – classical extensional mereology – has faced a number of challenges in the recent literature. This article gives a sampling of some of the alleged counterexamples to some of the more controversial principles involving the connections between parthood and identity. Along the way, some of the main revisionary approaches are reviewed. First, counterexamples to extensionality are reviewed. The ‘supplementation’ axioms that generate extensionality are examined more carefully, and a suggested revision is considered. Second, (...)
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  • Mutual Indwelling.Aaron Cotnoir - 2017 - Faith and Philosophy 34 (2):123-151.
    Perichoresis, or “mutual indwelling,” is a crucial concept in Trinitarian theology. But the philosophical underpinnings of the concept are puzzling. According to ordinary conceptions of “indwelling” or “being in,” it is incoherent to think that two entities could be in each other. In this paper, I propose a mereological way of understanding “being in,” by analogy with standard examples in contemporary metaphysics. I argue that this proposal does not conflict with the doctrine of divine simplicity, but instead affirms it. I (...)
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  • Non-wellfounded Mereology.Aaron J. Cotnoir & Andrew Bacon - 2012 - Review of Symbolic Logic 5 (2):187-204.
    This paper is a systematic exploration of non-wellfounded mereology. Motivations and applications suggested in the literature are considered. Some are exotic like Borges’ Aleph, and the Trinity; other examples are less so, like time traveling bricks, and even Geach’s Tibbles the Cat. The authors point out that the transitivity of non-wellfounded parthood is inconsistent with extensionality. A non-wellfounded mereology is developed with careful consideration paid to rival notions of supplementation and fusion. Two equivalent axiomatizations are given, and are compared to (...)
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  • Is Weak Supplementation analytic?Aaron Cotnoir - 2019 - Synthese:1-17.
    Mereological principles are often controversial; perhaps the most stark contrast is between those who claim that Weak Supplementation is analytic—constitutive of our notion of proper parthood—and those who argue that the principle is simply false, and subject to many counterexamples. The aim of this paper is to diagnose the source of this dispute. I’ll suggest that the dispute has arisen by participants failing to be sensitive to two different conceptions of proper parthood: the outstripping conception and the non-identity conception. I’ll (...)
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  • How Many Angels Can Be in the Same Place at the Same Time? A Defence of Mereological Universalism.Aaron Cotnoir - 2016 - Mind 125 (500):959-965.
    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.
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  • Does Universalism Entail Extensionalism?Aaron Cotnoir - 2016 - Noûs 50 (1):121-132.
    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.
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  • Beyond Atomism.Aaron Cotnoir - 2013 - Thought: A Journal of Philosophy 2 (1):67-72.
    Contemporary metaphysicians have been drawn to a certain attractive picture of the structure of the world. This picture consists in classical mereology, the priority of parts over wholes, and the well-foundedness of metaphysical priority. In this short note, I show that this combination of theses entails superatomism, which is a significant strengthening of mereological atomism. This commitment has been missed in the literature due to certain sorts of models of mereology being overlooked. But the entailment is an important one: we (...)
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  • Was Bonaventure a Four-dimensionalist?Damiano Costa - 2020 - British Journal for the History of Philosophy 28 (2):393-404.
    Bonaventure is sometimes taken to be an ante litteram champion of the four-dimensional theory of persistence. I argue that this interpretation is incorrect: Bonaventure was no four-dimensionalist.
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  • The Transcendentist Theory of Persistence.Damiano Costa - 2017 - Journal of Philosophy 114 (2):57-75.
    This paper develops an endurantist theory of persistence. The theory is built around one basic tenet, which concerns existence at a time – the relation between an object and the times at which that object is present. According to this tenet, which I call transcendentism, for an object to exist at a time is for it to participate in events that are located at that time. I argue that transcendentism is a semantically grounded and metaphysically fruitful. It is semantically grounded, (...)
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  • In Defence of Transcendentism.Damiano Costa & Alessandro Giordani - 2016 - Acta Analytica 31 (2):225-234.
    How do objects persist through time? According to endurantism, objects persist through time and do not have temporal parts. According to the transcendentist version of endurantism, objects exist at times by participating in events that occur at those times. This version of transcendentism offers specific metaphysical and semantical advantages over other versions of endurantism. In this paper, we defend transcendentist endurantism against a series of criticisms that have been recently offered by Kristie Miller.
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  • Fine’s Monster Objection Defanged.Damiano Costa, Alessandro Cecconi & Claudio Calosi - 2023 - Philosophical Quarterly 73 (2):435-451.
    The Monster Objection has often been considered one of the main reasons to explore non-standard mereological views, such as hylomorphism. Still, it has been rarely discussed and then only in a cursory fashion. This paper fills this gap by offering the first thorough assessment of the objection. It argues that different metaphysical stances, such as presentism and three- and four-dimensionalism, provide different ways of undermining the objection.
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  • Ontological dependence.Fabrice Correia - 2008 - Philosophy Compass 3 (5):1013-1032.
    'Ontological dependence' is a term of philosophical jargon which stands for a rich family of properties and relations, often taken to be among the most fundamental ontological properties and relations. Notions of ontological dependence are usually thought of as 'carving reality at its ontological joints', and as marking certain forms of ontological 'non-self-sufficiency'. The use of notions of dependence goes back as far as Aristotle's characterization of substances, and these notions are still widely used to characterize other concepts and to (...)
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  • Ontological Dependence and Grounding in Aristotle.Phil Corkum - 2016 - Oxford Handbooks Online in Philosophy 1.
    The relation of ontological dependence or grounding, expressed by the terminology of separation and priority in substance, plays a central role in Aristotle’s Categories, Metaphysics, De Anima and elsewhere. The article discusses three current interpretations of this terminology. These are drawn along the lines of, respectively, modal-existential ontological dependence, essential ontological dependence, and grounding or metaphysical explanation. I provide an opinionated introduction to the topic, raising the main interpretative questions, laying out a few of the exegetical and philosophical options that (...)
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  • Aristotle on Predication.Phil Corkum - 2015 - European Journal of Philosophy 23 (3):793-813.
    A predicate logic typically has a heterogeneous semantic theory. Subjects and predicates have distinct semantic roles: subjects refer; predicates characterize. A sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. Traditional term logic, by contrast, has a homogeneous theory: both subjects and predicates refer; and a sentence is true if the subject and predicate name one and the same thing. In this paper, I will examine evidence for ascribing to Aristotle the (...)
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  • The Chimeric Self: A Neo Naturalist Bundle Theory of the Self.Lucrezia Compiani - 2019 - Frontiers in Psychology 10.
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  • Could there be exactly two things?Juan Comesaña - 2008 - Synthese 162 (1):31 - 35.
    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.
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  • Quotational higher-order thought theory.Sam Coleman - 2015 - Philosophical Studies 172 (10):2705-2733.
    Due to their reliance on constitutive higher-order representing to generate the qualities of which the subject is consciously aware, I argue that the major existing higher-order representational theories of consciousness insulate us from our first-order sensory states. In fact on these views we are never properly conscious of our sensory states at all. In their place I offer a new higher-order theory of consciousness, with a view to making us suitably intimate with our sensory states in experience. This theory relies (...)
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  • Mereotopological Connection.Anthony G. Cohn & Achille C. Varzi - 2003 - Journal of Philosophical Logic 32 (4):357-390.
    The paper outlines a model-theoretic framework for investigating and comparing a variety of mereotopological theories. In the first part we consider different ways of characterizing a mereotopology with respect to (i) the intended interpretation of the connection primitive, and (ii) the composition of the admissible domains of quantification (e.g., whether or not they include boundary elements). The second part extends this study by considering two further dimensions along which different patterns of topological connection can be classified - the strength of (...)
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  • Collections in Early Bolzano.Stefania Centrone & Mark Siebel - 2018 - Journal for the History of Analytical Philosophy 6 (7).
    There are quite a few studies on late Bolzano’s notion of a collection (Inbegriff). We try to broaden the perspective by introducing the forerunner of collections in Bolzano’s early writings, namely the entities referred to by expressions with the technical term ‘et’. Special emphasis is laid on the question whether these entities are set-theoretical or mereological plenties. Moreover, similarities and differences to Bolzano’s mature conception are pointed out.
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  • The Structure of Spatial Localization.Roberto Casati & Achille Varzi - 1996 - Philosophical Studies 82 (2):205 - 239.
    What are the relationships between an entity and the space at which it is located? And between a region of space and the events that take place there? What is the metaphysical structure of localization? What its modal status? This paper addresses some of these questions in an attempt to work out at least the main coordinates of the logical structure of localization. Our task is mostly taxonomic. But we also highlight some of the underlying structural features and we single (...)
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  • Topological Essentialism.Roberto Casati & Achille Varzi - 2000 - Philosophical Studies 100 (3):217-236.
    Considering topology as an extension of mereology, this paper analyses topological variants of mereological essentialism (the thesis that an object could not have different parts than the ones it has). In particular, we examine de dicto and de re versions of two theses: (i) that an object cannot change its external connections (e.g., adjacent objects cannot be separated), and (ii) that an object cannot change its topological genus (e.g., a doughnut cannot turn into a sphere). Stronger forms of structural essentialism, (...)
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  • On the Infinite in Mereology with Plural Quantification.Massimiliano Carrara & Enrico Martino - 2011 - Review of Symbolic Logic 4 (1):54-62.
    In Lewis reconstructs set theory using mereology and plural quantification (MPQ). In his recontruction he assumes from the beginning that there is an infinite plurality of atoms, whose size is equivalent to that of the set theoretical universe. Since this assumption is far beyond the basic axioms of mereology, it might seem that MPQ do not play any role in order to guarantee the existence of a large infinity of objects. However, we intend to demonstrate that mereology and plural quantification (...)
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  • On plural reference and elementary set theory.Helen Morris Cartwright - 1993 - Synthese 96 (2):201 - 254.
    The view that plural reference is reference to a set is examined in light of George Boolos's treatment of second-order quantification as plural quantification in English. I argue that monadic second-order logic does not, in Boolos's treatment, reflect the behavior of plural quantifiers under negation and claim that any sentence that properly translates a second-order formula, in accordance with his treatment, has a first-order formulation. Support for this turns on the use of certain partitive constructions to assign values to variables (...)
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  • On Cotnoir’s two notions of proper parthood.Massimiliano Carrara & Jeroen Smid - 2022 - Philosophical Studies 179 (9):2787-2795.
    A.J. Cotnoir has argued that we should distinguish between two notions of proper parthood: outstripped part and non-identical part. Outstripped parthood is an asymmetric relation, but non-identical parthood is not. We argue, first, that the intuitions Cotnoir uses to motivate these notions do not always give the right verdict; and, second, that systematic reasons for distinguishing these two notions of parthood have further counter-intuitive consequences. This means the distinction between two notions of proper parthood currently lacks adequate motivation.
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  • How to Solve the Puzzle of Dion and Theon Without Losing Your Head.Chad Carmichael - 2020 - Mind 129 (513):205-224.
    The ancient puzzle of Dion and Theon has given rise to a surprising array of apparently implausible views. For example, in order to solve the puzzle, several philosophers have been led to deny the existence of their own feet, others have denied that objects can gain and lose parts, and large numbers of philosophers have embraced the thesis that distinct objects can occupy the same space, having all their material parts in common. In this paper, I argue for an alternative (...)
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  • Fusions and Ordinary Physical Objects.Ben Caplan & Bob Bright - 2005 - Philosophical Studies 125 (1):61-83.
    In “Tropes and Ordinary Physical Objects”, Kris McDaniel argues that ordinary physical objects are fusions of monadic and polyadic tropes. McDaniel calls his view “TOPO”—for “Theory of Ordinary Physical Objects”. He argues that we should accept TOPO because of the philosophical work that it allows us to do. Among other things, TOPO is supposed to allow endurantists to reply to Mark Heller’s argument for perdurantism. But, we argue in this paper, TOPO does not help endurantists do that; indeed, we argue (...)
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  • The contingency of composition.Ross P. Cameron - 2007 - Philosophical Studies 136 (1):99-121.
    There is widespread disagreement as to what the facts are concerning just when a collection of objects composes some further object; but there is widespread agreement that, whatever those facts are, they are necessary. I am unhappy to simply assume this, and in this paper I ask whether there is reason to think that the facts concerning composition hold necessarily. I consider various reasons to think so, but find fault with each of them. I examine the theory of composition as (...)
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  • The general-relativistic case for super-substantivalism.Claudio Calosi & Patrick M. Duerr - 2021 - Synthese 199 (5-6):13789-13822.
    Super-substantivalism (of the type we’ll consider) roughly comprises two core tenets: (1) the physical properties which we attribute to matter (e.g. charge or mass) can be attributed to spacetime directly, with no need for matter as an extraneous carrier “on top of” spacetime; (2) spacetime is more fundamental than (ontologically prior to) matter. In the present paper, we revisit a recent argument in favour of super-substantivalism, based on General Relativity. A critique is offered that highlights the difference between (various accounts (...)
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  • Priority monism, dependence and fundamentality.Claudio Calosi - 2020 - Philosophical Studies 177 (1):1-20.
    Priority monism is roughly the view that the universe is the only fundamental object, that is, a concrete object that does not depend on any other concrete object. Schaffer, the main advocate of PM, claims that PM is compatible with dependence having two different directions: from parts to wholes for subcosmic wholes, and from whole to parts for the cosmic whole. Recently it has been argued that this position is untenable. Given plausible assumptions about dependence, PM entails that dependence has (...)
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  • Extensionality, Multilocation, Persistence.Claudio Calosi - 2014 - Dialectica 68 (1):121-139.
    The paper addresses various questions about the logical and metaphysical relations between notions of parthood, location and persistence. In particular it argues that the conjunction of mereological extensionalism and multilocation, is highly problematic, if not utterly inconsistent. It thus provides an alternate route to reject multilocation, one that does not rely on Barker and Dowe's well known argument, at least for those who endorse extensionality of parthood. It then argues that other major metaphysical theses such as three-dimensionalism turn out to (...)
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  • Divisibility and Extension: a Note on Zeno’s Argument Against Plurality and Modern Mereology.Claudio Calosi & Vincenzo Fano - 2015 - Acta Analytica 30 (2):117-132.
    In this paper, we address an infamous argument against divisibility that dates back to Zeno. There has been an incredible amount of discussion on how to understand the critical notions of divisibility, extension, and infinite divisibility that are crucial for the very formulation of the argument. The paper provides new and rigorous definitions of those notions using the formal theories of parthood and location. Also, it provides a new solution to the paradox of divisibility which does not face some threats (...)
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  • Composition is Identity and Mereological Nihilism.Claudio Calosi - 2016 - Philosophical Quarterly 66 (263):219-235.
    Composition is Identity is the thesis that a whole is, strict and literally, its parts considered collectively. Mereological Nihilism is the thesis that there are no composite objects whatsoever instead. This paper argues that they are equivalent, at least insofar as Composition is Identity is phrased in a particular way. It then addresses some consequences of such equivalence.
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  • Composition, identity, and emergence.Claudio Calosi - 2016 - Logic and Logical Philosophy 25 (3):429-443.
    Composition as Identity is the thesis that a whole is, strictly and literally, identical to its parts, considered collectively. McDaniel [2008] argues against CAI in that it prohibits emergent properties. Recently Sider [2014] exploited the resources of plural logic and extensional mereology to undermine McDaniel’s argument. He shows that CAI identifies extensionally equivalent pluralities – he calls it the Collapse Principle – and then shows how this identification rescues CAI from the emergentist argument. In this paper I first give a (...)
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  • A New Taxonomy of Persisting (Relativistic) Objects.Claudio Calosi & Vincenzo Fano - 2015 - Topoi 34 (1):283-294.
    The paper presents a thorough exploration of the problem of persistence in a relativistic context. Using formal methods such as mereology, formal theories of location and the so called intrinsic formulation of special relativity we provide a new, more rigorous and more comprehensive taxonomy of persisting entities. This new taxonomy differs significantly from the ones that are present in the recent literature.
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  • An elegant universe.Claudio Calosi - 2017 - Synthese:1-16.
    David Lewis famously endorsed Unrestricted Composition. His defense of such a controversial principle builds on the alleged innocence of mereology. This innocence defense has come under different attacks in the last decades. In this paper I pursue another line of defense, that stems from some early remarks by van Inwagen. I argue that Unrestricted Composition leads to a better metaphysics. In particular I provide new arguments for the following claims: Unrestricted Composition entails extensionality of composition, functionality of location and four-dimensionalism (...)
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  • An elegant universe.Claudio Calosi - 2020 - Synthese 197 (11):4767-4782.
    David Lewis famously endorsed Unrestricted Composition. His defense of such a controversial principle builds on the alleged innocence of mereology. This innocence defense has come under different attacks in the last decades. In this paper I pursue another line of defense, that stems from some early remarks by van Inwagen. I argue that Unrestricted Composition leads to a better metaphysics. In particular I provide new arguments for the following claims: Unrestricted Composition entails extensionality of composition, functionality of location and four-dimensionalism (...)
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