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  1. Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 1997 - Oxford, England: Oxford University Press USA.
    Moving beyond both realist and anti-realist accounts of mathematics, Shapiro articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.
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  • Causal structuralism.John Hawthorne - 2018 - In Anthony O'Hear (ed.), Metaphysics. Cambridge, United Kingdom: Cambridge University Press. pp. 361--78.
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  • Symmetric Dependence.Elizabeth Barnes - 2018 - In Ricki Bliss & Graham Priest (eds.), Reality and its Structure: Essays in Fundamentality. Oxford, UK: Oxford University Press. pp. 50-69.
    Metaphysical orthodoxy maintains that the relation of ontological dependence is irreflexive, asymmetric, and transitive. The goal of this paper is to challenge that orthodoxy by arguing that ontological dependence should be understood as non- symmetric, rather than asymmetric. If we give up the asymmetry of dependence, interesting things follow for what we can say about metaphysical explanation— particularly for the prospects of explanatory holism.
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  • Essence and modality.Kit Fine - 1994 - Philosophical Perspectives 8 (Logic and Language):1-16.
    It is my aim in this paper to show that the contemporary assimilation of essence to modality is fundamentally misguided and that, as a consequence, the corresponding conception of metaphysics should be given up. It is not my view that the modal account fails to capture anything which might reasonably be called a concept of essence. My point, rather, is that the notion of essence which is of central importance to the metaphysics of identity is not to be understood in (...)
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  • The Routledge Handbook of Metametaphysics.Ricki Bliss & James Miller (eds.) - 2020 - New York, NY: Routledge.
    Philosophical questions regarding the nature and methodology of philosophical inquiry have garnered much attention in recent years. Perhaps nowhere are these discussions more developed than in relation to the field of metaphysics. The Routledge Handbook of Metametaphysics is an outstanding reference source to this growing subject. It comprises thirty-eight chapters written by leading international contributors, and is arranged around five themes: • The history of metametaphysics • Neo-Quineanism (and its objectors) • Alternative conceptions of metaphysics • The epistemology of metaphysics (...)
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  • Essence and modality.Edward N. Zalta - 2006 - Mind 115 (459):659-693.
    Some recently-proposed counterexamples to the traditional definition of essential property do not require a separate logic of essence. Instead, the examples can be analysed in terms of the logic and theory of abstract objects. This theory distinguishes between abstract and ordinary objects, and provides a general analysis of the essential properties of both kinds of object. The claim ‘x has F necessarily’ becomes ambiguous in the case of abstract objects, and in the case of ordinary objects there are various ways (...)
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  • The Nature of Properties: Causal Essentialism and Quidditism.Jennifer Wang - 2016 - Philosophy Compass 11 (3):168-176.
    Properties seem to play an important role in causal relations. But philosophers disagree over whether or not properties play their causal or nomic roles essentially. Causal essentialists say that they do, while quidditists deny it. This article surveys these two views, as well as views that try to find a middle ground.
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  • The Essences of Fundamental Properties.Jennifer Wang - 2019 - Metaphysics 2 (1):40-54.
    There is a puzzle concerning the essences of fundamental entities that arises from considerations about essence, on one hand, and fundamentality, on the other. The Essence-Dependence Link (EDL) says that if x figures in the essence of y, then y is dependent upon x. EDL is prima facie plausible in many cases, especially those involving derivative entities. But consider the property negative charge. A negatively charged object exhibits certain behaviors that a positively charged object does not: it moves away from (...)
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  • The world as a graph: defending metaphysical graphical structuralism.Nicholas Shackel - 2011 - Analysis 71 (1):10-21.
    Metaphysical graphical structuralism is the view that at some fundamental level the world is a mathematical graph of nodes and edges. Randall Dipert has advanced a graphical structuralist theory of fundamental particulars and Alexander Bird has advanced a graphical structuralist theory of fundamental properties. David Oderberg has posed a powerful challenge to graphical structuralism: that it entails the absurd inexistence of the world or the absurd cessation of all change. In this paper I defend graphical structuralism. A sharper formulation, some (...)
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  • Identity, indiscernibility, and Ante Rem structuralism: The tale of I and –I.Stewart Shapiro - 2008 - Philosophia Mathematica 16 (3):285-309.
    Some authors have claimed that ante rem structuralism has problems with structures that have indiscernible places. In response, I argue that there is no requirement that mathematical objects be individuated in a non-trivial way. Metaphysical principles and intuitions to the contrary do not stand up to ordinary mathematical practice, which presupposes an identity relation that, in a sense, cannot be defined. In complex analysis, the two square roots of –1 are indiscernible: anything true of one of them is true of (...)
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  • The things we mean.Stephen R. Schiffer - 2003 - New York: Oxford University Press.
    Stephen Schiffer presents a groundbreaking account of meaning and belief, and shows how it can illuminate a range of crucial problems regarding language, mind, knowledge, and ontology. He introduces the new doctrine of 'pleonastic propositions' to explain what the things we mean and believe are. He discusses the relation between semantic and psychological facts, on the one hand, and physical facts, on the other; vagueness and indeterminacy; moral truth; conditionals; and the role of propositional content in information acquisition and explanation. (...)
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  • Précis of The Things We Mean.Stephen Schiffer - 2006 - Philosophy and Phenomenological Research 73 (1):208-210.
    In The Things We Mean I argue that there exist such things as the things we mean and believe, and that they are what I call pleonastic propositions. The first two chapters offer an initial motivation and articulation of the theory of pleonastic propositions, and of pleonastic entities generally. The remaining six chapters bring that theory to bear on issues in the theory of content: the existence and nature of meanings; knowledge of meaning; the meaning relation and compositional semantics; the (...)
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  • Monism: The Priority of the Whole.Jonathan Schaffer - 2010 - Philosophical Review 119 (1):31-76.
    Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?
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  • It is the Business of Laws to Govern.Jonathan Schaffer - 2016 - Dialectica 70 (4):577-588.
    Non-Humean accounts of lawhood are said to founder on the Inference Problem, which is the problem of saying how laws that go beyond the regularities can entail the regularities. I argue that the Inference Problem has a simple solution – the Axiomatic Solution – on which the non-Humean only needs to outfit her laws with a law-to-regularity axiom. There is a remaining Epistemic Bulge, as to why one should believe that the posit-so-axiomatized is to be found in nature, but the (...)
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  • The world is not an asymmetric graph.David S. Oderberg - 2011 - Analysis 71 (1):3-10.
    mix of the concrete and the abstract (if we include universals, laws, propositions and the like), but whichever of these is the case, the world is not purely abstract, as a formal structure is. One might claim, however, that the world is a structure1 in the sense that it instantiates a structure and is nothing else. In other words, all there is to the..
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  • Powers: A Study in Metaphysics.George Molnar - 2003 - New York: Oxford University Press. Edited by Stephen Mumford.
    George Molnar came to see that the solution to a number of the problems of contemporary philosophy lay in the development of an alternative to Hume's metaphysics. This alternative would have real causal powers at its centre. Molnar set about developing a thorough account of powers that might persuade those who remained, perhaps unknowingly, in the grip of Humean assumptions. He succeeded in producing something both highly focused and at the same time wide-ranging. He showed both that the notion of (...)
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  • What constitutes the numerical diversity of mathematical objects?F. MacBride - 2006 - Analysis 66 (1):63-69.
  • New work for a theory of universals.David K. Lewis - 1983 - Australasian Journal of Philosophy 61 (4):343-377.
  • Essential bundle theory and modality.Mark Jago - 2018 - Synthese (Suppl 6):1-16.
    Bundle theories identify material objects with bundles of properties. On the traditional approach, these are the properties possessed by that material object. That view faces a deep problem: it seems to say that all of an object’s properties are essential to it. Essential bundle theory attempts to overcome this objection, by taking the bundle as a specification of the object’s essential properties only. In this paper, I show that essential bundle theory faces a variant of the objection. To avoid the (...)
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  • The Regress of Pure Powers Revisited.Rögnvaldur Ingthorsson - 2012 - European Journal of Philosophy 23 (3):529-541.
    The paper aims to elucidate in better detail than before the dispute about whether or not dispositional monism—the view that all basic properties are pure powers—entails a vicious infinite regress. Particular focus is on Alexander Bird's and George Molnar's attempts to show that the arguments professing to demonstrate a vicious regress are inconclusive because they presuppose what they aim to prove, notably that powers are for their nature dependent on something else. I argue that Bird and Molnar are mistaken. It (...)
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  • Impredicative Identity Criteria.Leon Horsten - 2010 - Philosophy and Phenomenological Research 80 (2):411-439.
    In this paper, a general perspective on criteria of identity of kinds of objects is developed. The question of the admissibility of impredicative or circular identity criteria is investigated in the light of the view that is articulated. It is argued that in and of itself impredicativity does not constitute sufficient grounds for rejecting a putative identity criterion. The view that is presented is applied to Davidson’s criterion of identity for events and to the structuralist criterion of identity of places (...)
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  • Unified Foundations for Essence and Ground.Kit Fine - 2015 - Journal of the American Philosophical Association 1 (2):296-311.
  • Identity criteria and ground.Kit Fine - 2016 - Philosophical Studies 173 (1):1-19.
    I propose formulating identity criteria as generic statements of ground, thereby avoiding objections that have been made to the more usual formulations.
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  • What Is the Well-Foundedness of Grounding?T. Scott Dixon - 2016 - Mind 125 (498):439-468.
    A number of philosophers think that grounding is, in some sense, well-founded. This thesis, however, is not always articulated precisely, nor is there a consensus in the literature as to how it should be characterized. In what follows, I consider several principles that one might have in mind when asserting that grounding is well-founded, and I argue that one of these principles, which I call ‘full foundations’, best captures the relevant claim. My argument is by the process of elimination. For (...)
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  • The mathematical structure of the world: The world as graph.Randall R. Dipert - 1997 - Journal of Philosophy 94 (7):329-358.
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  • Metaphysical Rationalism.Shamik Dasgupta - 2016 - Noûs 50 (2):379-418.
    The Principle of Sufficient Reason states that everything has an explanation. But different notions of explanation yield different versions of this principle. Here a version is formulated in terms of the notion of a “grounding” explanation. Its consequences are then explored, with particular emphasis on the fact that it implies necessitarianism, the view that every truth is necessarily true. Finally, the principle is defended from a number of objections, including objections to necessitarianism. The result is a defense of a “rationalist” (...)
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  • Individuals: an essay in revisionary metaphysics.Shamik Dasgupta - 2009 - Philosophical Studies 145 (1):35-67.
    We naturally think of the material world as being populated by a large number of individuals . These are things, such as my laptop and the particles that compose it, that we describe as being propertied and related in various ways when we describe the material world around us. In this paper I argue that, fundamentally speaking at least, there are no such things as material individuals. I then propose and defend an individual-less view of the material world I call (...)
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  • Real Definitions.Fabrice Correia - 2017 - Philosophical Issues 27 (1):52-73.
    I offer and defend an account of real definitions. I put forward two versions of the account, one formulated in terms of the notion of generalised identity and of a suitable notion of grounding, and the other one formulated in terms of the former notion and of a suitable notion of comparative joint-carvingness. Given a plausible assumption, and turn out to be equivalent. I give a sketch of a unified account of the three notions involved in and from which the (...)
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  • Grounding, Essence, And Identity.Fabrice Correia & Alexander Skiles - 2019 - Philosophy and Phenomenological Research 98 (3):642-670.
    Recent metaphysics has turned its focus to two notions that are—as well as having a common Aristotelian pedigree—widely thought to be intimately related: grounding and essence. Yet how, exactly, the two are related remains opaque. We develop a unified and uniform account of grounding and essence, one which understands them both in terms of a generalized notion of identity examined in recent work by Fabrice Correia, Cian Dorr, Agustín Rayo, and others. We argue that the account comports with antecedently plausible (...)
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  • On Kinds of Indiscernibility in Logic and Metaphysics.Adam Caulton & Jeremy Butterfield - 2012 - British Journal for the Philosophy of Science 63 (1):27-84.
    Using the Hilbert-Bernays account as a spring-board, we first define four ways in which two objects can be discerned from one another, using the non-logical vocabulary of the language concerned. Because of our use of the Hilbert-Bernays account, these definitions are in terms of the syntax of the language. But we also relate our definitions to the idea of permutations on the domain of quantification, and their being symmetries. These relations turn out to be subtle---some natural conjectures about them are (...)
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  • Interpreting Quantum Entanglement: Steps towards Coherentist Quantum Mechanics.Claudio Calosi & Matteo Morganti - 2018 - British Journal for the Philosophy of Science:axy064.
    We put forward a new, ‘coherentist’ account of quantum entanglement, according to which entangled systems are characterized by symmetric relations of ontological dependence among the component particles. We compare this coherentist viewpoint with the two most popular alternatives currently on offer—structuralism and holism—and argue that it is essentially different from, and preferable to, both. In the course of this article, we point out how coherentism might be extended beyond the case of entanglement and further articulated.
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  • Against Metaphysical Structuralism.Ralf Busse - 2020 - Grazer Philosophische Studien 98 (1):90-122.
    Inductive Metaphysics combines an anti-aprioristic emphasis on an empirical and scientific basis for metaphysics with an insistence on a specifically philosophical abductive theory-building. Since the latter specifically philosophical work is not empirical itself, it may in a liberal sense be called apriori. This paper highlights this apriori dimension within IM by a case study on Structuralism, the view that fundamental reality consists of a network of relations, which a number of philosophers consider to be suggested by modern physics. Focussing on (...)
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  • The regress of pure powers?Alexander Bird - 2007 - Philosophical Quarterly 57 (229):513–534.
    Dispositional monism is the view that natural properties and relations are ‘pure powers’. It is objected that dispositional monism involves some kind of vicious or otherwise unpalatable regress or circularity. I examine ways of making this objection precise. The most pressing interpretation is that is fails to make the identities of powers determinate. I demonstrate that this objection is in error. It does however puts certain constraints on what the structure of fundamental properties is like. I show what a satisfactory (...)
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  • Dispositional Monism and the Circularity Objection.Tomasz Bigaj - 2010 - Metaphysica 11 (1):39-47.
    Three basic positions regarding the nature of fundamental properties are: dispositional monism, categorical monism and the mixed view. Dispositional monism apparently involves a regress or circularity, while an unpalatable consequence of categorical monism and the mixed view is that they are committed to quidditism. I discuss Alexander Bird's defence of dispositional monism based on the structuralist approach to identity. I argue that his solution does not help standard dispositional essentialism, as it admits the possibility that two distinct dispositional properties can (...)
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  • The Ultimate Argument Against Dispositional Monist Accounts of Laws.Stephen Barker & Benjamin Smart - 2012 - Analysis 72 (4):714-722.
    Bird argues that Armstrong’s necessitarian conception of physical modality and laws of nature generates a vicious regress with respect to necessitation. We show that precisely the same regress afflicts Bird’s dispositional-monist theory, and indeed, related views, such as that of Mumford & Anjum. We argue that dispositional monism is basically Armstrongian necessitarianism modified to allow for a thesis about property identity.
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  • The question of realism for powers.Lorenzo Azzano - 2019 - Synthese 196 (1):329-354.
    In recent years, a new dispute has risen to prominence: the dispute between realists and anti-realists about causal powers. Albeit sometimes overlooked, the meta-ontological features of this “question of realism for powers” are quite peculiar. For friends and foes of causal powers have characterized their contrasting views in a variety of different ways; as existence claims, as semantic or truth-making claims, as fundamentality claims, as claims about the nature of certain properties. Not only does this multiplicity of interpretations make it (...)
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  • Dispositionality, categoricity, and where to find them.Lorenzo Azzano - 2020 - Synthese 199 (1-2):2949-2976.
    Discussions about dispositional and categorical properties have become commonplace in metaphysics. Unfortunately, dispositionality and categoricity are disputed notions: usual characterizations are piecemeal and not widely applicable, thus threatening to make agreements and disagreements on the matter merely verbal—and also making it arduous to map a logical space of positions about dispositional and categorical properties in which all parties can comfortably fit. This paper offers a prescription for this important difficulty, or at least an inkling thereof. This will be achieved by (...)
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  • Universals: an opinionated introduction.D. M. Armstrong - 1989 - Boulder: Westview Press.
    In this short text, a distinguished philosopher turns his attention to one of the oldest and most fundamental philosophical problems of all: How it is that we are able to sort and classify different things as being of the same natural class? Professor Armstrong carefully sets out six major theories—ancient, modern, and contemporary—and assesses the strengths and weaknesses of each. Recognizing that there are no final victories or defeats in metaphysics, Armstrong nonetheless defends a traditional account of universals as the (...)
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  • Metaphysical Dependence: Grounding and Reduction.Gideon Rosen - 2010 - In Bob Hale & Aviv Hoffmann (eds.), Modality: Metaphysics, Logic, and Epistemology. Oxford University Press. pp. 109-135.
  • Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
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  • On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
     
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  • The Structure of the World: Metaphysics and Representation.Steven French - 2014 - New York: Oxford University Press.
    Steven French articulates and defends the bold claim that there are no objects in the world. He draws on metaphysics and philosophy of science to argue for structural realism--the position that we live in a world of structures--and defends a form of eliminativism about objects that sets laws and symmetry principles at the heart of ontology.
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  • Algebraic logic and predicate functors.W. V. Quine - 1971 - [Indianapolis,: Bobbs-Merrill.
  • Ramseyan humility.David K. Lewis - 2009 - In David Braddon-Mitchell & Robert Nola (eds.), Conceptual Analysis and Philosophical Naturalism. MIT Press. pp. 203-222.
  • Dispositional essentialism and the grounding of natural modality.Siegfried Jaag - 2014 - Philosophers' Imprint 14.
    Dispositional essentialism is a non-Humean view about the essences of certain fundamental or natural properties that looms large in recent metaphysics , not least because it promises to explain neatly the natural modalities such as laws of nature, counterfactuals, causation and chance. In the current paper, however, several considerations are presented that indicate a serious tension between its essentialist core thesis and natural “metaphysical” interpretations of its central explanatory claims.
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  • On the Plurality of Grounds.Shamik Dasgupta - 2014 - Philosophers' Imprint 14.
    This paper argues that ground is irreducibly plural: a group of facts can be grounded together, as a collective, even though no member of the group has a ground on its own. This kind of plural grounding is applied to the metaphysics of individuals and quantities, yielding a “structuralist” view in each case. Some more general implications of plural grounding are also discussed.
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  • The Mathematical Structure of the World.Randall R. Dipert - 1997 - Journal of Philosophy 94 (7):329-358.
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  • Supervenience.Karen Bennett & Brian McLaughlin - 2005 - Stanford Encyclopedia of Philosophy.
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  • The question of realism.Kit Fine - 2001 - Philosophers' Imprint 1:1-30.
    This paper distinguishes two kinds of realist issue -- the issue of whether the propositions of a given domain are factual and the issue of whether they are fundamental. It criticizes previous accounts of what these issues come to and suggests that they are to be understood in terms of a basic metaphysical concept of reality. This leaves open the question of how such issues are to be resolved; and it is argued that this may be done through consideration of (...)
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  • New Work For a Theory of Universals.David Lewis - 1983 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press.
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