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Parts of Classes

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  1. Real work for aggregates.John Bigelow & Robert Pargetter - 2006 - Dialectica 60 (4):485–503.
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  • God and the new math.John Bigelow - 1996 - Philosophical Studies 84 (2-3):127 - 154.
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  • The world is either digital or analogue.Francesco Berto & Jacopo Tagliabue - 2014 - Synthese 191 (3):481-497.
    We address an argument by Floridi (Synthese 168(1):151–178, 2009; 2011a), to the effect that digital and analogue are not features of reality, only of modes of presentation of reality. One can therefore have an informational ontology, like Floridi’s Informational Structural Realism, without commitment to a supposedly digital or analogue world. After introducing the topic in Sect. 1, in Sect. 2 we explain what the proposition expressed by the title of our paper means. In Sect. 3, we describe Floridi’s argument. In (...)
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  • To exist and to count: A note on the minimalist view.Francesco Berto & Massimiliano Carrara - 2009 - Dialectica 63 (3):343-356.
    Sometimes mereologists have problems with counting. We often don't want to count the parts of maximally connected objects as full-fledged objects themselves, and we don't want to count discontinuous objects as parts of further, full-fledged objects. But whatever one takes "full-fledged object" to mean, the axioms and theorems of classical, extensional mereology commit us to the existence both of parts and of wholes – all on a par, included in the domain of quantification – and this makes mereology look counterintuitive (...)
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  • Quantifier Variance, Mathematicians’ Freedom and the Revenge of Quinean Indispensability Worries.Sharon Berry - 2022 - Erkenntnis 87 (5):2201-2218.
    Invoking a form of quantifier variance promises to let us explain mathematicians’ freedom to introduce new kinds of mathematical objects in a way that avoids some problems for standard platonist and nominalist views. In this paper I’ll note that, despite traditional associations between quantifier variance and Carnapian rejection of metaphysics, Siderian realists about metaphysics can naturally be quantifier variantists. Unfortunately a variant on the Quinean indispensability argument concerning grounding seems to pose a problem for philosophers who accept this hybrid. However (...)
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  • Metaphysical Explanation by Constraint.Michael Bertrand - 2019 - Erkenntnis 84 (6):1325-1340.
    It is often thought that metaphysical grounding underwrites a distinctive sort of metaphysical explanation. However, it would be a mistake to think that all metaphysical explanations are underwritten by metaphysical grounding. In service of this claim, I offer a novel kind of metaphysical explanation called metaphysical explanation by constraint, examples of which have been neglected in the literature. I argue that metaphysical explanations by constraint are not well understood as grounding explanations.
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  • Gunk Mountains: A puzzle.Sharon E. Berry - 2019 - Analysis 79 (1):3-10.
    This note points out a conflict between some common intuitions about metaphysical possibility. On the one hand, it is appealing to deny that there are robust counterfactuals about how various physically impossible substances would interact with the matter that exists at our world. On the other hand, our intuitions about how concepts like MOUNTAIN apply at other metaphysically possible worlds seem to presuppose facts about ‘solidity’ which cash out in terms of these counterfactuals. I consider several simple attempts to resolve (...)
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  • Reply to Audi, Bliss, Rosen, Schaffer, and Wang.Karen Bennett - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (7):758-794.
    ABSTRACT I reply to five critics of my book. In particular, I tackle criticisms of my treatment of causation, relative fundamentality, and generativity. I also take on the question of my reliance on a possibly sketchy modal recombination principle, and what grounds the grounding facts.
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  • Construction area (no hard hat required).Karen Bennett - 2011 - Philosophical Studies 154 (1):79-104.
    A variety of relations widely invoked by philosophers—composition, constitution, realization, micro-basing, emergence, and many others—are species of what I call ‘building relations’. I argue that they are conceptually intertwined, articulate what it takes for a relation to count as a building relation, and argue that—contra appearances—it is an open possibility that these relations are all determinates of a common determinable, or even that there is really only one building relation.
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  • Plural quantification logic: A critical appraisal.Hanoch Ben-Yami - 2009 - Review of Symbolic Logic 2 (1):208-232.
    I first show that most authors who developed Plural Quantification Logic (PQL) argued it could capture various features of natural language better than can other logic systems. I then show that it fails to do so: it radically departs from natural language in two of its essential features; namely, in distinguishing plural from singular quantification and in its use of an relation. Next, I sketch a different approach that is more adequate than PQL for capturing plural aspects of natural language (...)
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  • Higher‐Level Plurals versus Articulated Reference, and an Elaboration of Salva Veritate.Hanoch Ben-Yami - 2013 - Dialectica 67 (1):81-102.
    In recent literature on plurals the claim has often been made that the move from singular to plural expressions can be iterated, generating what are occasionally called higher-level plurals or superplurals, often correlated with superplural predicates. I argue that the idea that the singular-to-plural move can be iterated is questionable. I then show that the examples and arguments intended to establish that some expressions of natural language are in some sense higher-level plurals fail. Next, I argue that these and some (...)
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  • Li in east asian buddhism: One approach from Plato's parmenides.James Behuniak - 2009 - Asian Philosophy 19 (1):31 – 49.
    In Plato's Parmenides , Socrates proposes a 'Day' analogy to express one possible model of part/whole relations. His analogy is swiftly rejected and replaced with another analogy, that of the 'Sail'. In this paper, it is argued that there is a profound difference between these two analogies and that the 'Day' represents a distinct way to think about part/whole relations. This way of thinking, I argue, is the standard way of thinking in East Asian Buddhism. Plato's 'Day' analogy can then (...)
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  • Realization Relations in Metaphysics.Umut Baysan - 2015 - Minds and Machines (3):1-14.
    “Realization” is a technical term that is used by metaphysicians, philosophers of mind, and philosophers of science to denote some dependence relation that is thought to obtain between higher-level properties and lower-level properties. It is said that mental properties are realized by physical properties; functional and computational properties are realized by first-order properties that occupy certain causal/functional roles; dispositional properties are realized by categorical properties; so on and so forth. Given this wide usage of the term “realization”, it would be (...)
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  • Must strong emergence collapse?Umut Baysan & Jessica Wilson - 2017 - Philosophica 91 (1):49--104.
    Some claim that the notion of strong emergence as involving ontological or causal novelty makes no sense, on grounds that any purportedly strongly emergent features or associated powers 'collapse', one way or another, into the lower-level base features upon which they depend. Here we argue that there are several independently motivated and defensible means of preventing the collapse of strongly emergent features or powers into their lower-level bases, as directed against a conception of strongly emergent features as having fundamentally novel (...)
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  • The Problem of Universals and the Asymmetry of Instantiation.Donald L. M. Baxter - 2018 - American Philosophical Quarterly 55 (2):189-202.
    Oliver's and Rodriguez-Pereyra's important interpretation of the problem of universals as one concerning truthmakers neglects something crucial: that there is a numerical identity between numerically distinct particulars. The problem of universals is rather how to resolve the apparent contradiction that the same things are both numerically distinct and numerically identical. Baxter's account of instantiation as partial identity resolves the apparent contradiction. A seeming objection to this account is that it appears to make instantiation symmetric, since partial identity is symmetric. Armstrong's (...)
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  • Instantiation as Partial Identity: Replies to Critics.Donald L. M. Baxter - 2013 - Axiomathes 23 (2):291-299.
    One of the advantages of my account in the essay “Instantiation as Partial Identity” was capturing the contingency of instantiation—something David Armstrong gave up in his experiment with a similar view. What made the contingency possible for me was my own non-standard account of identity, complete with the apparatus of counts and aspects. The need remains to lift some obscurity from the account in order to display its virtues to greater advantage. To that end, I propose to respond to those (...)
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  • The explanatory dispensability of idealizations.Sam Baron - 2016 - Synthese 193 (2):365-386.
    Enhanced indispensability arguments seek to establish realism about mathematics based on the explanatory role that mathematics plays in science. Idealizations pose a problem for such arguments. Idealizations, in a similar way to mathematics, boost the explanatory credentials of our best scientific theories. And yet, idealizations are not the sorts of things that are supposed to attract a realist attitude. I argue that the explanatory symmetry between idealizations and mathematics can potentially be broken as follows: although idealizations contribute to the explanatory (...)
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  • Absence perception and the philosophy of zero.Neil Barton - 2020 - Synthese 197 (9):3823-3850.
    Zero provides a challenge for philosophers of mathematics with realist inclinations. On the one hand it is a bona fide cardinal number, yet on the other it is linked to ideas of nothingness and non-being. This paper provides an analysis of the epistemology and metaphysics of zero. We develop several constraints and then argue that a satisfactory account of zero can be obtained by integrating an account of numbers as properties of collections, work on the philosophy of absences, and recent (...)
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  • A Formal Apology for Metaphysics.Samuel Baron - 2018 - Ergo: An Open Access Journal of Philosophy 5.
    There is an old meta-philosophical worry: very roughly, metaphysical theories have no observational consequences and so the study of metaphysics has no value. The worry has been around in some form since the rise of logical positivism in the early twentieth century but has seen a bit of a renaissance recently. In this paper, I provide an apology for metaphysics in the face of this kind of concern. The core of the argument is this: pure mathematics detaches from science in (...)
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  • Why the debate about composition is factually empty.Mark Balaguer - 2018 - Synthese 195 (9):3975-4008.
    I argue in this paper that the debate over composition is factually empty; in other words, I argue that there’s no fact of the matter whether there are any composite objects like tables and rocks and cats. Moreover, at the end of the paper, I explain how my argument is suggestive of a much more general conclusion, namely, that there’s no fact of the matter whether there are any material objects at all. Roughly speaking, the paper proceeds by arguing that (...)
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  • Alethic Pluralism and the Role of Reference in the Metaphysics of Truth.Brian Ball - 2017 - Southern Journal of Philosophy 55 (1):116-135.
    In this paper, I outline and defend a novel approach to alethic pluralism, the thesis that truth has more than one metaphysical nature: where truth is, in part, explained by reference, it is relational in character and can be regarded as consisting in correspondence; but where instead truth does not depend upon reference it is not relational and involves only coherence. In the process, I articulate a clear sense in which truth may or may not depend upon reference: this involves (...)
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  • The ontology of artifacts.Lynne Rudder Baker - 2004 - Philosophical Explorations 7 (2):99 – 111.
    Beginning with Aristotle, philosophers have taken artifacts to be ontologically deficient. This paper proposes a theory of artifacts, according to which artifacts are ontologically on a par with other material objects. I formulate a nonreductive theory that regards artifacts as constituted by - but not identical to - aggregates of particles. After setting out the theory, I rebut a number of arguments that disparage the ontological status of artifacts.
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  • The incompatibility of composition as identity, priority pluralism, and irreflexive grounding.Andrew M. Bailey - 2011 - Analytic Philosophy 52 (3):171-174.
    Some have it that wholes are, somehow, identical to their parts. This doctrine is as alluring as it is puzzling. But in this paper, I show that the doctrine is inconsistent with two widely accepted theses. Something has to go.
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  • The challenge of many logics: a new approach to evaluating the role of ideology in Quinean commitment.Jody Azzouni - 2019 - Synthese 196 (7):2599-2619.
    Can Quine’s criterion for ontological commitment be comparatively applied across different logics? If so, how? Cross-logical evaluations of discourses are central to contemporary philosophy of mathematics and metaphysics. The focus here is on the influential and important arguments of George Boolos and David Lewis that second-order logic and plural quantification don’t incur additional ontological commitments over and above those incurred by first-order quantifiers. These arguments are challenged by the exhibition of a technical tool—the truncation-model construction of notational equivalents—that compares the (...)
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  • Structural properties, mereology, and modal magic.Lorenzo Azzano - 2018 - Synthese 198 (Suppl 18):4303-4329.
    Why is it that whenever a structural property is instantiated, its constituent properties are instantiated as well, by proper parts of the original object? By developing a suggestion from Lewis :25–46, 1986), Hawley :117–133, 2010) rises to this explanatory challenge by taking structural properties to be mereologically composed by their constituents, and by taking composition to be analogous to identity. However, setting up a plausible framework for composition and CAI claims about properties, I will argue that structural properties are not (...)
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  • Organisms, activity, and being: on the substance of process ontology.Christopher J. Austin - 2020 - European Journal for Philosophy of Science 10 (2):1-21.
    According to contemporary ‘process ontology’, organisms are best conceptualised as spatio-temporally extended entities whose mereological composition is fundamentally contingent and whose essence consists in changeability. In contrast to the Aristotelian precepts of classical ‘substance ontology’, from the four-dimensional perspective of this framework, the identity of an organism is grounded not in certain collections of privileged properties, or features which it could not fail to possess, but in the succession of diachronic relations by which it persists, or ‘perdures’ as one entity (...)
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  • Contemporary Hylomorphisms: On the Matter of Form.Christopher J. Austin - 2020 - Ancient Philosophy Today 2 (2):113-144.
    As there is currently a neo-Aristotelian revival currently taking place within contemporary metaphysics and dispositions, or causal powers are now being routinely utilised in theories of causality and modality, more attention is beginning to be paid to a central Aristotelian concern: the metaphysics of substantial unity, and the doctrine of hylomorphism. In this paper, I distinguish two strands of hylomorphism present in the contemporary literature and argue that not only does each engender unique conceptual difficulties, but neither adequately captures the (...)
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  • Ontological aspects of information modeling.Robert L. Ashenhurst - 1996 - Minds and Machines 6 (3):287-394.
    Information modeling (also known as conceptual modeling or semantic data modeling) may be characterized as the formulation of a model in which information aspects of objective and subjective reality are presented (the application), independent of datasets and processes by which they may be realized (the system).A methodology for information modeling should incorporate a number of concepts which have appeared in the literature, but should also be formulated in terms of constructs which are understandable to and expressible by the system user (...)
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  • Anaxagoras, the Thoroughgoing Infinitist: The Relation between his Teachings on Multitude and on Heterogeneity.Miloš Arsenijević, Saša Popović & Miloš Vuletić - 2019 - European Journal of Analytic Philosophy 15 (1):35-70.
    In the analysis of Anaxagoras’ physics in view of the relation between his teachings on multitude and heterogeneity, two central questions emerge: 1) How can the structure of the universe considered purely mereo-topologically help us explain that at the first cosmic stage no qualitative difference is manifest in spite of the fact that the entire qualitative heterogeneity is supposedly already present there? 2) How can heterogeneity become manifest at the second stage, resulting from the noûs intervention, if according to fragment (...)
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  • Reply to Simons and Mumford.David Armstrong - 2005 - Australasian Journal of Philosophy 83 (2):271 – 276.
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  • Classes are states of affairs.D. M. Armstrong - 1991 - Mind 100 (2):189-200.
    Argues that a set is the mereological whole of the singleton sets of its members (following Lewis's Parts of Classes), and that the singleton set of X is the state of affairs of X's having some unit-making property.
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  • Structural realism and the nature of structure.Jonas R. Becker Arenhart & Otávio Bueno - 2015 - European Journal for Philosophy of Science 5 (1):111-139.
    Ontic Structural Realism is a version of realism about science according to which by positing the existence of structures, understood as basic components of reality, one can resolve central difficulties faced by standard versions of scientific realism. Structures are invoked to respond to two important challenges: one posed by the pessimist meta-induction and the other by the underdetermination of metaphysics by physics, which arises in non-relativistic quantum mechanics. We argue that difficulties in the proper understanding of what a structure is (...)
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  • Physical Constituents of Qualia.István Aranyosi - 2003 - Philosophical Studies 116 (2):103-131.
    In this paper I propose a defense of a posteriori materialism.Problems with a posteriori identity materialism are identified,and a materialism based on composition, not identity, is proposed.The main task for such a proposal is to account for the relationbetween physical and phenomenal properties. Composition does notseem to be fit as a relation between properties, but I offer apeculiar way to understand property-composition, based on somerecent ideas in the literature on ontology. Finally, I propose amaterialist model for the mind-body relation that (...)
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  • (Con)fusing the un(con)fusable.IstvÁ Aranyosi - 2003 - Analysis 63 (3):215-220.
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  • (Con)fusing the un(con)fusable.István Aranyosi - 2003 - Analysis 63 (3):215–220.
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  • The Logical Structure of Truthmaking.Staffan Angere - 2015 - Journal of Philosophical Logic 44 (4):351-374.
    This paper is an investigation in the use of truthmaker theory for exploring the relation of logic to world, and as a tool for metaphysics. A variant of truthmaker theory, which we call the simple theory, is defined and defended against objections. It is characterized formally, and its central features are derived. As part of this project, we give a formal metaphysics based on nondeterministic necessitation relations among possible entities. In what is called the fundamental theorem of truthmaking, it is (...)
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  • Identidad personal y ontología de la persona.José Tomás Alvarado Marambio - 2016 - Universitas Philosophica 33 (66):77-112.
    It is argued here that it is part of our concept of a ‘person’ that persons should be, by its nature, able to endure in time. In no conception of persons as ‘perduring’ entities with different temporal parts for different times, or as sequences of stages in the relation of ‘being a survival of ’ between them, it is possible to make sense of some of our normative intuitions about persons. It is argued also that the traditional psychological theory of (...)
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  • Estados de cosas y relaciones de fundación.José Tomás Alvarado - 2014 - Tópicos 28:01-31.
    un estado de cosas es una estructura no-mereológica compuesta por universales, objetos y tiempos. En principio, un estado de cosas no está fundado en sus componentes, pues tales componentes podrían existir, pero no el estado de cosas que componen. La introducción de otras relaciones de 'instanciación' no mejoran la situación, si tales relaciones son universales. Un estado de cosas, sin embargo, sí está fundado en un universal, uno o varios objetos, un tiempo y un tropo que, esencialmente, es la instanciación (...)
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  • Estados de cosas en el tiempo.José Tomás Alvarado Marambio - 2013 - Revista de Humanidades de Valparaíso 2:83-104.
    A ‘state of affairs’ is understood here as any kind of concrete entity that can play the role of truthmaker. Different ontologies propose different structures of entities to work as ‘states of affairs’ in this sense. Defenders of universals will propose for the role non- mereological structures of universals, objects and times. Defenders of tropes will propose tropes, either with or without universals and objects. Resemblance nominalists will propose primitive ontological facts of resemblance between objects in time. In any of (...)
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  • Introduction to “The Material Bases of Cognition”.Kenneth Aizawa - 2013 - Minds and Machines 23 (3):277-286.
    Special Issue: The Material Bases of Cognition Guest Editors: Fred Adams · Kenneth Aizawa -/- Compositional Explanatory Relations and Mechanistic Reduction K.L. Theurer 287 -/- Constitution, and Multiple Constitution, in the Sciences: Using the Neuron to Construct a Starting Framework C. Gillett 309 -/- The Mark of the Cognitive F. Adams · R. Garrison 339 -/- Dynamics and Cognition L.A. Shapiro 353 -/- Causal Parity and Externalisms: Extensions in Life and Mind P. Huneman 377 -/- Did I Do That? Brain–Computer (...)
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  • An Argument for Micropsychism: If There is a Conscious Whole, There Must be Conscious Parts.Arjen Rookmaaker - 2024 - Kriterion – Journal of Philosophy 38.
    Many philosophers today accept that phenomenal truths cannot be explained in terms of ordinary physical truths. Two possible routes to accounting for consciousness have received much attention: the emergentist route is to accept that ordinary experience is inexplicable in physical terms but that microscopic entities as described in physics nonetheless bring about conscious experience. The second route is to argue that microscopic entities have features not described in physics which can fully explain conscious experience. The view associated with panprotopsychism is (...)
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  • Composition, Persistence, and Identity.Nikk Effingham - 2009 - In Robin Le Poidevin (ed.), The Routledge Companion to Metaphysics. New York: Routledge. pp. 296.
    An introduction to composition, persistence, and identity.
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  • Revolutionary Fictionalism: A Call to Arms.Mary Leng - 2005 - Philosophia Mathematica 13 (3):277-293.
    This paper responds to John Burgess's ‘Mathematics and _Bleak House_’. While Burgess's rejection of hermeneutic fictionalism is accepted, it is argued that his two main attacks on revolutionary fictionalism fail to meet their target. Firstly, ‘philosophical modesty’ should not prevent philosophers from questioning the truth of claims made within successful practices, provided that the utility of those practices as they stand can be explained. Secondly, Carnapian scepticism concerning the meaningfulness of _metaphysical_ existence claims has no force against a _naturalized_ version (...)
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  • All Things Must Pass Away.Joshua Spencer - 2012 - Oxford Studies in Metaphysics 7:67.
    Are there any things that are such that any things whatsoever are among them. I argue that there are not. My thesis follows from these three premises: (1) There are two or more things; (2) for any things, there is a unique thing that corresponds to those things; (3) for any two or more things, there are fewer of them than there are pluralities of them.
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  • Composition as General Identity.Aaron J. Cotnoir - 2008 - In Dean W. Zimmerman (ed.), Oxford Studies in Metaphysics. Oxford University Press. pp. 294-322.
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  • Generic Structures.Leon Horsten - 2019 - Philosophia Mathematica 27 (3):362-380.
    In this article ideas from Kit Fine’s theory of arbitrary objects are applied to questions regarding mathematical structuralism. I discuss how sui generis mathematical structures can be viewed as generic systems of mathematical objects, where mathematical objects are conceived of as arbitrary objects in Fine’s sense.
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  • Ordinal Type Theory.Jan Plate - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Higher-order logic, with its type-theoretic apparatus known as the simple theory of types (STT), has increasingly come to be employed in theorizing about properties, relations, and states of affairs—or ‘intensional entities’ for short. This paper argues against this employment of STT and offers an alternative: ordinal type theory (OTT). Very roughly, STT and OTT can be regarded as complementary simplifications of the ‘ramified theory of types’ outlined in the Introduction to Principia Mathematica (on a realist reading). While STT, understood as (...)
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  • Against 'Against 'Against Vague Existence''.Roberto Loss - 2018 - In Karen Bennett & Dean W. Zimmerman (eds.), Oxford Studies in Metaphysics Volume 11. Oxford University Press. pp. 278-287.
    Alessandro Torza argues that Ted Sider’s Lewisian argument against vague existence is insufficient to rule out the possibility of what he calls ‘super-vague existence’, that is the idea that existence is higher-order vague, for all orders. In this chapter it is argued that the possibility of super-vague existence is ineffective against the conclusion of Sider’s argument since super-vague existence cannot be consistently claimed to be a kind of linguistic vagueness. Torza’s idea of super-vague existence seems to be better suited to (...)
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  • Universalism and Classes.Nikk Effingham - 2011 - Dialectica 65 (3):451-472.
    Universalism (the thesis that distinct objects always compose a further object) has come under much scrutiny in recent years. What has been largely ignored is its role in the metaphysics of classes. Not only does universalism provide ways to deal with classes in a metaphysically pleasing fashion, its success on these grounds has been offered as a motivation for believing it. This paper argues that such treatments of classes can be achieved without universalism, examining theories from Goodman and Quine, Armstrong (...)
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  • Method in Analytic Metaphysics.Daniel Nolan - 2016 - In Herman Cappelen, Tamar Gendler & John P. Hawthorne (eds.), The Oxford Handbook of Philosophical Methodology. Oxford, United Kingdom: Oxford University Press.
    This article focuses on the main methods used in analytic metaphysics. It first considers five important sources of constraints on metaphysical theorizing: linguistic and conceptual analysis, consulting intuitions, employing the findings of science, respecting folk opinion, and applying theoretical virtues in metaphysical theory choice such as preferring simpler theories, or preferring more explanatory theories. It then examines the role of formal methods in metaphysics as well as the role of metaphysical communities, traditions, and the place of the history of metaphysics (...)
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