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Ontological Pluralism

Journal of Philosophy 107 (1):5-34 (2010)

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  1. On the metaphysics of the incarnation.Joshua R. Sijuwade - 2024 - International Journal for Philosophy of Religion 95 (2):153-185.
    This article aims to provide an elucidation of the doctrine of the Incarnation. A new ‘reduplication strategy’ and ‘compositional model’ is formulated through the utilisation of certain concepts and theses from contemporary metaphysics, which will enable the doctrine of the Incarnation to be explicated in a clear and consistent manner, and the oft-raised objections against it being fully dealt with.
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  • Against Instantiation.Christopher Frugé - forthcoming - Australasian Journal of Philosophy.
    According to traditional universalism, properties are instantiated by objects, where instantiation is a ‘tie’ that binds objects and properties into facts. I offer two arguments against this view. I then develop an alternative higher-order account which holds that properties are primitively predicated of objects yet, unlike traditional nominalism, are nevertheless genuinely real. When it’s a fact that Fo, it’s not because object o instantiates F-ness, but just that Fo – where F still exists. Against orthodox higher-order approaches, however, my arguments (...)
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  • Perspectivalism about temporal reality.Bahadir Eker - 2023 - Synthese 202 (2):1-29.
    It is usually agreed that reality is temporal in the sense of containing entities that exist in time, but some philosophers, roughly those who have been traditionally called A-theorists, hold that reality is temporal in a far more profound sense than what is implied by the mere existence of such entities. This hypothesis of deep temporality typically involves two ideas: that reality is temporally compartmentalised into distinct present, past, and future ‘realms’, and that this compartmentalisation is temporally dynamic in the (...)
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  • La diferencia ontológica según las maneras del ser en la ontología-fundamental.Christian Ivanoff-Sabogal - 2023 - Contrastes: Revista Internacional de Filosofía 28 (1):41-60.
    Esta investigación aborda el tema de la diferencia ontológica desde la perspectiva de las maneras del ser (ser-cómo), uno de los momentos constitutivos de la idea complejo-unitaria del ser. Tema y perspectiva se complementan recíprocamente. Primero, la diferencia ontológica posibilita evidenciar el fenómeno óntico de las maneras de ser del ente y el ontológico de las maneras del ser. Segundo, ambas maneras proveen una palpable visualización sobre los términos de la diferencia ontológica, desbrozando el terreno para distinguir al ser, no (...)
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  • Temporal quantifier relativism.Peter Finocchiaro - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    In this paper, I introduce a quantifier-pluralist theory of time, temporal quantifier relativism. Temporal quantifier relativism includes a restricted quantifier for every instantaneous moment of time. Though it flies in the face of orthodoxy, it compares favorably to rival theories of time. To demonstrate this, I first develop the basic syntax and semantics of temporal quantifier relativism. I then compare the theory to its rivals on three issues: the passage of time, the analysis of change, and temporal ontology.
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  • Formal Ontology.Jani Hakkarainen & Markku Keinänen - 2023 - Cambridge: Cambridge University Press.
    Formal ontology as a main branch of metaphysics investigates categories of being. In the formal ontological approach to metaphysics, these ontological categories are analysed by ontological forms. This analysis, which we illustrate by some category systems, provides a tool to assess the clarity, exactness and intelligibility of different category systems or formal ontologies. We discuss critically different accounts of ontological form in the literature. Of ontological form, we propose a character- neutral relational account. In this metatheory, ontological forms of entities (...)
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  • Ontological Pluralism and Ontological Category.Ataollah Hashemi & Davood Hosseini - 2023 - European Journal of Analytic Philosophy 19 (1):page A1-16.
    Ontological pluralism is the view that there are different ways of being. Historically, ways of being are aligned with the ontological categories. This paper is about to investigate why there is such a connection, and how it should be understood. Ontological pluralism suffers from an objection, according to which ontological pluralism collapses into ontological monism, i.e., there is only one way to be. Admitting to ontological categories can save ontological pluralism from this objection if ways of being ground ontological categories. (...)
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  • Quantifier Variance.Rohan Sud & David Manley - 2020 - In Ricki Bliss & James Miller (eds.), The Routledge Handbook of Metametaphysics. New York, NY: Routledge. pp. 100-17.
    We provide an overview of the meta-ontological position known as "Quantifier Variance".
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  • Modes d’être et temps.Guillaume Bucchioni - 2021 - In Alexandre Declos & Claudine Tiercelin (eds.), La Métaphysique du Temps: Perspectives Contemporaines. Collège de France.
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  • The logical problem of the incarnation: a new solution.Joshua R. Sijuwade - 2022 - Religious Studies:1-21.
    This article aims to provide a new solution to the Logical Problem of the Incarnation by proposing a novel metaphysical reconstrual of the method of reduplicative predication. This reconstrual will be grounded upon the metaphysical thesis of ‘Ontological Pluralism, proposed by Kris McDaniel and Jason Turner, and the notion of an ‘aspect’ proposed by Donald L. M. Baxter. Utilising this thesis and notion will enable the method of reduplicative predication to be further clarified, and the central objection that is often (...)
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  • One-step Modal Logics, Intuitionistic and Classical, Part 1.Harold T. Hodes - 2021 - Journal of Philosophical Logic 50 (5):837-872.
    This paper and its sequel “look under the hood” of the usual sorts of proof-theoretic systems for certain well-known intuitionistic and classical propositional modal logics. Section 1 is preliminary. Of most importance: a marked formula will be the result of prefixing a formula in a propositional modal language with a step-marker, for this paper either 0 or 1. Think of 1 as indicating the taking of “one step away from 0.” Deductions will be constructed using marked formulas. Section 2 presents (...)
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  • Engineering Existence?Lukas Skiba - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    This paper investigates the connection between two recent trends in philosophy: higher-orderism and conceptual engineering. Higher-orderists use higher-order quantifiers (in particular quantifiers binding variables that occupy the syntactic positions of predicates) to express certain key metaphysical doctrines, such as the claim that there are properties. I argue that, on a natural construal, the higher-orderist approach involves an engineering project concerning, among others, the concept of existence. I distinguish between a modest construal of this project, on which it aims at engineering (...)
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  • Aristotle on Ontological Pluralism.Mohammad Hossein Esfandiari, Morteza Hajhosseini & Seyyed Mohammad Ali Hodjati - 2021 - Philosophical Investigations 15 (36):287-306.
    Aristotle has repeatedly stated in his works that 'being has several senses'. Is this to be regarded as his pluralistic ontology, an approach that seems to be too nascent? If so, how can this newfound approach in ontology be linked to the ideas of the father of this science, i.e. Aristotle? These are the questions that the present article seeks to answer. First, we will show that Aristotle thinks of 'being' in four senses. Then, step by step he proceeds to (...)
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  • The Metaphysics of Theism: A Classical and Neo-Classical Synthesis.Joshua R. Sijuwade - 2021 - Religions 12 (11):1-29.
    This article aims to provide a metaphysical elucidation of the notion of Theism and a coherent theological synthesis of two extensions of this notion: Classical Theism and Neo-Classical Theism. A model of this notion and its extensions is formulated within the ontological pluralism framework of Kris McDaniel and Jason Turner, and the (modified) modal realism framework of David Lewis, which enables it to be explicated clearly and consistently, and two often raised objections against the elements of this notion can be (...)
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  • Should an Ontological Pluralist Be a Quantificational Pluralist?Byron Simmons - 2022 - Journal of Philosophy 119 (6):324-346.
    Ontological pluralism is the view that there are different fundamental ways of being. Recent defenders of this view—such as Kris McDaniel and Jason Turner—have taken these ways of being to be best captured by semantically primitive quantifier expressions ranging over different domains. They have thus endorsed, what I shall call, quantificational pluralism. I argue that this focus on quantification is a mistake. For, on this view, a quantificational structure—or a quantifier for short—will be whatever part or aspect of reality’s structure (...)
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  • Collapse and the Varieties of Quantifier Variance.Matti Eklund - 2021 - In James Miller (ed.), The Language of Ontology. New York, NY: Oxford University Press.
    The aim of the paper is to bring clarity regarding the doctrine of quantifier variance (due to Eli Hirsch), and two prominent arguments against this doctrine, the collapse argument and the Eklund-Hawthorne argument. Different versions of the doctrine of quantifier variance are distinguished, and it is shown that the effectiveness of the arguments against it depends on what version of the doctrine is at issue. The metaontological significance of the different versions of the doctrine are also assessed. Roughly, quantifier variance (...)
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  • Quantifier Variance, Semantic Collapse, and “Genuine” Quantifiers.Jared Warren - 2021 - Philosophical Studies 179 (3):745-757.
    Quantifier variance holds that different languages can have unrestricted quantifier expressions that differ in meaning, where an expression is a “quantifier” just in case it plays the right inferential role. Several critics argued that J.H. Harris’s “collapse” argument refutes variance by showing that identity of inferential role is incompatible with meaning variance. This standard, syntactic collapse argument has generated several responses. More recently, Cian Dorr proved semantic collapse theorems to generate a semantic collapse argument against variance. The argument is significantly (...)
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  • Different Samenesses: Essays on Non-Standard Views of Identity.Eric de Araujo - 2021 - Dissertation, The Ohio State University
    Few views are as widely held as the Standard View of Identity. Here I am concerned with minority views that depart from the standard account. First, I attempt to illuminate such views and the debates concerning them by identifying the principles of identity at issue, articulating some of the assumptions underlying the debates, and presenting some of the evidence used against the Standard View of Identity. Second, I enter two of these debates myself. I first defend two Non-Standard Views of (...)
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  • Thinking Crossroads: from Scientific Pluralism to Pluralist History of Science: Introduction.Ivan Moya-Diez, Laurent Loison & Matteo Vagelli - 2021 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 52 (1):87-95.
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  • Against philosophical proofs against common sense.Louis Doulas & Evan Welchance - 2021 - Analysis 81 (2):207–215.
    Many philosophers think that common sense knowledge survives sophisticated philosophical proofs against it. Recently, however, Bryan Frances (forthcoming) has advanced a philosophical proof that he thinks common sense can’t survive. Exploiting philosophical paradoxes like the Sorites, Frances attempts to show how common sense leads to paradox and therefore that common sense methodology is unstable. In this paper, we show how Frances’s proof fails and then present Frances with a dilemma.
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  • Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism.Jared Warren - 2020 - New York, USA: Oxford University Press.
    What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...)
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  • Ontological Pluralism about Non-Being.Sarah Bernstein - 2021 - In Sara Bernstein & Tyron Goldschmidt (eds.), Non-Being: New Essays on the Metaphysics of Nonexistence. Oxford: Oxford University Press. pp. 1-16.
    I develop ontological pluralism about non-being, the view that there are multiple ways, kinds, or modes of non-being. I suggest that the view is both more plausible and defensible than it first seems, and that it has many useful applications across a wide variety of metaphysical and explanatory problems. After drawing out the relationship between pluralism about being and pluralism about non-being, I discuss quantificational strategies for the pluralist about non-being. I examine historical precedent for the view. Finally, I suggest (...)
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  • Variance Theses in Ontology and Metaethics.Matti Eklund - 2019 - In Alexis Burgess, Herman Cappelen & David Plunkett (eds.), Conceptual Engineering and Conceptual Ethics. New York, USA: Oxford University Press.
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  • Ontological Pluralism and the Generic Conception of Being.Byron Simmons - 2022 - Erkenntnis 87 (3):1275-1293.
    Ontological pluralism is the view that there are different fundamental ways of being. Trenton Merricks has recently raised three objections to combining pluralism with a generic way of being enjoyed by absolutely everything there is: first, that the resulting view contradicts the pluralist’s core intuition; second, that it is especially vulnerable to the charge—due to Peter van Inwagen—that it posits a difference in being where there is simply a difference in kind; and, third, that it is in tension with various (...)
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  • Introducción a la Ontología.Axel Barceló - manuscript
    Intuitivamente, la realidad está formada por entidades y hechos existentes y concretos. Sin embargo, nuestro lenguaje y pensamiento versa también sobre hechos meramente posibles, sobre cosas inexistentes y entidades abstractas. ¿Cómo es esto posible? ¿Significa ello que cuando hablamos y pensamos de estas otras cosas no hablamos de nada real? ¿o mas bien la realidad está mas poblada de lo que pensábamos y hay diferentes maneras de formar parte de la realidad además de la de existir de manera positiva y (...)
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  • A puzzle about Moorean metaphysics.Louis Doulas - 2021 - Philosophical Studies 178 (2):493-513.
    Some metaphysicians believe that existence debates are easily resolved by trivial inferences from Moorean premises. This paper considers how the introduction of negative Moorean facts—negative existentials that command Moorean certainty—complicates this picture. In particular, it shows how such facts, when combined with certain plausible metaontological principles, generate a puzzle that commits the proponents of this method to a contradiction.
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  • Ways of thinking about ways of being.Bradley Rettler - 2020 - Analysis 80 (4):712-722.
    Monism about being says that there is one way to be. Pluralism about being says that there are many ways to be. Recently, Trenton Merricks and David Builes have offered arguments against Pluralism. In this paper, I show how Pluralists who appeal to the relative naturalness of quantifiers can respond to these arguments.
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  • Quantification in the Ontology Room.Bradley Rettler - 2019 - Dialectica 73 (4):563-585.
    There is a growing movement towards construing some classic debates in ontology as meaningless, either because the answers seem obvious or the debates seem intractable. In this paper, I respond to this movement. The response has three components: First, the members of the two sides of the ontological debates that dismissivists have targeted are using different quantifiers. Second, the austere ontologist is using a more fundamental quantifier than her opponent. Third, the austere ontologist’s more fundamental quantifier is a restriction of (...)
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  • De Dicto and De Re: A Brandomian experiment on Kierkegaard.Gabriel Ferreira - 2019 - Revista de Filosofia Moderna E Contemporânea 2 (7):221-238.
    During the last few decades, the historical turn within the tradition of the analytic tradition has experienced growing enthusiasm concerning the procedure of rational reconstruction, whose validity or importance, despite its paradigmatic examples in Frege and Russell, has not always enjoyed a consensus. Among the analytic philosophers who are the frontrunners of this movement, Robert Brandom is one of a kind: his work on Hegel as well as on German Idealism has been increasing interest in, as well as awareness of, (...)
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  • The Metaphysical Basis of Logic.Michaela McSweeney - 2016 - Dissertation, Princeton University
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  • The Explosion of Being: Ideological Kinds in Theory Choice.Peter Finocchiaro - 2019 - Philosophical Quarterly 69 (276):486-510.
    In this paper, I develop a novel account of ideological kinds. I first present some conceptual territory regarding the use of Occam’s Razor in minimizing ontological commitments. I then present the analogous device for minimizing ideological commitments, what I call the Comb. I argue that metaphysicians ought to use both or none at all. This means that those who endorse a principle of ontological parsimony ought to also endorse some principle of ideological parsimony, where we ought to prefer the metaphysical (...)
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  • Ideology and its role in metaphysics.Peter Finocchiaro - 2019 - Synthese 198 (2):957-983.
    Metaphysicians now typically distinguish between a theory’s ontology and its ideology. But besides a few cursory efforts, no one has explained the role of ideology in theory choice. In this paper I develop a framework for discussing how differing approaches to ideology impact metaphysical disputes. I first provide an initial characterization of ideology and develop two contrasting types of criteria used to evaluate its quality. In using externalist criteria, we judge the quality of a theory’s ideology by its relation to (...)
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  • Knowledge exclusion and the rationality of belief.Sean Donahue - 2019 - Analysis 79 (3):402-410.
    Two epistemic principles are Knowledge Exclusion and Belief Exclusion. Knowledge Exclusion says that it is necessarily the case that if an agent knows that p, then she does not believe that ∼p, and Belief Exclusion says that it is necessarily the case that if an agent believes that q, then she does not believe that ∼q. Many epistemologists find it reasonable to reject the latter principle and accept the former. I argue that this is in fact not reasonable by proposing (...)
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  • Pluralism and the problem of purity.David Builes - 2019 - Analysis 79 (3):394-402.
    Ontological Pluralism is the thesis that there are different ways of being. In his recent paper, ‘The only way to be’, Trenton Merricks has presented an important challenge to Pluralism in the form of a dilemma. The purpose of this paper is two-fold. First, I argue that Merricks’s argument against Pluralism, as stated, is unsound. I will argue that one horn of the dilemma is unproblematic for contemporary versions of Pluralism, defended by Jason Turner and Kris McDaniel, that are formulated (...)
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  • Ontological Pluralism and Notational Variance.Bruno Whittle - 2021 - Oxford Studies in Metaphysics 12:58-72.
    Ontological pluralism is the view that there are different ways to exist. It is a position with deep roots in the history of philosophy, and in which there has been a recent resurgence of interest. In contemporary presentations, it is stated in terms of fundamental languages: as the view that such languages contain more than one quantifier. For example, one ranging over abstract objects, and another over concrete ones. A natural worry, however, is that the languages proposed by the pluralist (...)
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  • A Language for Ontological Nihilism.Catharine Diehl - 2018 - Ergo: An Open Access Journal of Philosophy 5:971-996.
    According to ontological nihilism there are, fundamentally, no individuals. Both natural languages and standard predicate logic, however, appear to be committed to a picture of the world as containing individual objects. This leads to what I call the \emph{expressibility challenge} for ontological nihilism: what language can the ontological nihilist use to express her account of how matters fundamentally stand? One promising suggestion is for the nihilist to use a form of \emph{predicate functorese}, a language developed by Quine. This proposal faces (...)
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  • Vague Existence.Alessandro Torza - 2008 - In Dean W. Zimmerman (ed.), Oxford Studies in Metaphysics. Oxford University Press. pp. 201-234.
    Ted Sider has famously argued that existence, in the unrestricted sense of ontology, cannot be vague, as long as vagueness is modeled by means of precisifications. The first section of Chapter 9 exposes some controversial assumptions underlying Sider’s alleged reductio of vague existence. The upshot of the discussion is that, although existence cannot be vague, it can be super-vague, i.e. higher-order vague, for all orders. The second section develops and defends a novel framework, dubbed negative supervaluationary semantics, which makes room (...)
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  • Are All Primitives Created Equal?J. T. M. Miller - 2018 - Southern Journal of Philosophy 56 (2):273-292.
    Primitives are both important and unavoidable, and which set of primitives we endorse will greatly shape our theories and how those theories provide solutions to the problems that we take to be important. After introducing the notion of a primitive posit, I discuss the different kinds of primitives that we might posit. Following Cowling (2013), I distinguish between ontological and ideological primitives, and, following Benovsky (2013) between functional and content views of primitives. I then propose that these two distinctions cut (...)
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  • Metaontological Deflationism in the Aftermath of the Quine-Carnap Debate.Jonathan Egeland - 2015 - Kriterion - Journal of Philosophy 29 (2):33-52.
    With metaphysical philosophy gaining prominence in the aftermath of the Quine-Carnap debate, not only has it become assumed that the Quinean critique leaves ontological pluralism behind as an untenable approach, but also that the same is true of deflationism more generally. Building on Quine’s criticisms against the analytic-synthetic distinction and the notion of quantifier variance, contemporary metaphysicians like van Inwagen and Sider continue to argue for the untenability of deflationary approaches to metaontology. In this paper I will argue that Quine’s (...)
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  • The Only Way To Be.Trenton Merricks - 2017 - Noûs 53 (3):593-612.
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  • An Epistemic Account Of Metaphysical Equivalence1.Michaela Markham McSweeney - 2016 - Philosophical Perspectives 30 (1):270-293.
    I argue that, in order for us to be justified in believing that two theories are metaphysically equivalent, we must be able to conceive of them as unified into a single theory, which says nothing over and above either of them. I propose one natural way of precisifying this condition, and show that the quantifier variantist cannot meet it. I suggest that the quantifier variantist cannot meet the more general condition either, and argue that this gives the metaphysical realist a (...)
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  • A One Category Ontology.L. A. Paul - 2017 - In John A. Keller (ed.), Being, Freedom, and Method: Themes From the Philosophy of Peter van Inwagen. New York: Oxford University Press UK. pp. 32-62.
    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 (...)
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  • Counting on Strong Composition as Identity to Settle the Special Composition Question.Joshua Spencer - 2017 - Erkenntnis 82 (4):857-872.
    Strong Composition as Identity is the thesis that necessarily, for any xs and any y, those xs compose y iff those xs are non-distributively identical to y. Some have argued against this view as follows: if some many things are non-distributively identical to one thing, then what’s true of the many must be true of the one. But since the many are many in number whereas the one is not, the many cannot be identical to the one. Hence is mistaken. (...)
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  • Emergence for Nihilists.Richard L. J. Caves - 2018 - Pacific Philosophical Quarterly 99 (1):2-28.
    I defend mereological nihilism, the view that there are no composite objects, against a challenge from ontological emergence, the view that some things have properties that are ‘something over and above’ the properties of their parts. As the nihilist does not believe in composite wholes, there is nothing in the nihilist's ontology to instantiate emergent properties – or so the challenge goes. However, I argue that some simples can collectively instantiate an emergent property, so the nihilist's ontology can in fact (...)
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  • Abstract entities in a presentist world.Aldo Filomeno - 2016 - Metaphysica 17 (2):177-193.
    How can a metaphysics of abstract entities be built upon a metaphysics of time? In this paper, I address the question of how to accommodate abstract entities in a presentist world. I consider both the traditional metaontological approach of unrestricted fundamental quantification and then ontological pluralism. I argue that under the former we need to impose two constraints in the characterization of presentism in order to avoid undesired commitments to abstract entities: we have to characterize presentism as a thesis only (...)
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  • Quine’s conjecture on many-sorted logic.Thomas William Barrett & Hans Halvorson - 2017 - Synthese 194 (9):3563-3582.
    Quine often argued for a simple, untyped system of logic rather than the typed systems that were championed by Russell and Carnap, among others. He claimed that nothing important would be lost by eliminating sorts, and the result would be additional simplicity and elegance. In support of this claim, Quine conjectured that every many-sorted theory is equivalent to a single-sorted theory. We make this conjecture precise, and prove that it is true, at least according to one reasonable notion of theoretical (...)
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  • What Do We Mean When We Ask “Why is There Something Rather Than Nothing?".Andrew Brenner - 2016 - Erkenntnis 81 (6):1305-1322.
    Let’s call the sentence “why is there something rather than nothing?” the Question. There’s no consensus, of course, regarding which proposed answer to the Question, if any, is correct, but occasionally there’s also controversy regarding the meaning of the Question itself. In this paper I argue that such controversy persists because there just isn’t one unique interpretation of the Question. Rather, the puzzlement expressed by the sentence “why is there something rather than nothing?” varies depending on the ontology implicitly or (...)
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  • Composition.Daniel Z. Korman & Chad Carmichael - 2016 - Oxford Handbooks Online.
    When some objects are the parts of another object, they compose that object and that object is composite. This article is intended as an introduction to the central questions about composition and a highly selective overview of various answers to those questions. In §1, we review some formal features of parthood that are important for understanding the nature of composition. In §2, we consider some answers to the question: which pluralities of objects together compose something? As we will see, the (...)
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  • I—The Presidential Address: Being, Univocity, and Logical Syntax.A. W. Moore - 2015 - Proceedings of the Aristotelian Society 115 (1pt1):1-23.
    In this essay I focus on the idea of the univocity of being, championed by Duns Scotus and given prominence more recently by Deleuze. Although I am interested in how this idea can be established, my primary concern is with something more basic: how the idea can even be properly thought. In the course of exploring this issue, which I do partly by borrowing some ideas about logical syntax from Wittgenstein's Tractatus, I try to show how there can be dialogue (...)
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  • Quantifier Variance and the Collapse Argument.Jared Warren - 2015 - Philosophical Quarterly 65 (259):241-253.
    Recently a number of works in meta-ontology have used a variant of J.H. Harris's collapse argument in the philosophy of logic as an argument against Eli Hirsch's quantifier variance. There have been several responses to the argument in the literature, but none of them have identified the central failing of the argument, viz., the argument has two readings: one on which it is sound but doesn't refute quantifier variance and another on which it is unsound. The central lesson I draw (...)
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