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An introduction to grounding

In Miguel Hoeltje, Benjamin Schnieder & Alex Steinberg (eds.), Varieties of Dependence. Munich, Germany: Philosophia Verlag. pp. 97-122 (2013)

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  1. Grounding and the Existence of God.Joshua R. Sijuwade - 2021 - Metaphysica (2):193-245.
    In this article, I seek to assess the extent to which Theism, the claim that there is a God, can provide a true fundamental explanation for the instantiation of the grounding relation that connects the various entities within the layered structure of reality. More precisely, I seek to utilise the explanatory framework of Richard Swinburne within a specific metaphysical context, a ground-theoretic context, which will enable me to develop a true fundamental explanation for the existence of grounding. And thus, given (...)
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  • How to be a Monist about Ground: A Guide for Pluralists.Derek Christian Haderlie - forthcoming - Erkenntnis:1-18.
    Is there one univocal or generic notion of ground? Monists answer yes, while pluralists answer no. Pluralists argue that monism cannot meet plausible constraints on an adequate theory of ground. My aim in this paper is to articulate a monist theory of ground that can satisfy the pluralist constraints in a way that leaves the pluralists with no reasons not to endorse the monist picture of ground. I do this by adopting a tripartite conception of ground and then showing that (...)
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  • In defence of existence questions.Chris Daly & David Liggins - 2014 - Monist 97 (7):460–478.
    Do numbers exist? Do properties? Do possible worlds? Do fictional characters? Many metaphysicians spend time and effort trying to answer these and other questions about the existence of various entities. These inquiries have recently encountered opposition: a group of philosophers, drawing inspiration from Aristotle, have argued that many or all of the existence questions debated by metaphysicians can be answered trivially, and so are not worth debating. Our task is to defend existence questions from the neo-Aristotelians' attacks.
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  • The Unique Groundability of Temporal Facts.John Cusbert & Kristie Millier - 2017 - Philosophy and Phenomenological Research 94 (1).
    The A-theory and the B-theory advance competing claims about how time is grounded. The A-theory says that A-facts are more fundamental in grounding time than are B-facts, and the B-theory says the reverse. We argue that whichever theory is true of the actual world is also true of all possible worlds containing time. We do this by arguing that time is uniquely groundable: however time is actually grounded, it is necessarily grounded in that way. It follows that if either the (...)
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  • Foundations of a we-perspective.Katja Crone - 2020 - Synthese (12):1-18.
    What enables everyday collective attitudes such as the intention of two persons to go for a walk together? Most current approaches are concerned with full-fledged col- lective attitudes and focus on the content, the mode or the subject of such attitudes. It will be argued that these approaches miss out an important explanatory enabling feature of collective attitudes: an experiential state, called a “sense of us”, in which a we-perspective is grounded. As will be shown, the sense of us pre-structures (...)
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  • What is priority monism? Reply to Kovacs.Damiano Costa - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Priority monism is the view that the cosmos is the basic concrete entity on which each of its parts depend. Kovacs has recently argued that none of the classical notions of dependence could be used to spell out priority monism. I argue that four notions of dependence – namely rigid existential dependence, generic existential dependence, explanatory dependence, and generalised explanatory dependence – can indeed be used to spell out priority monism, and specify the conditions under which this is possible.
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  • Salience and metaphysical explanation.Phil Corkum - 2021 - Synthese 199 (3-4):10771-10792.
    Metaphysical explanations, unlike many other kinds of explanation, are standardly thought to be insensitive to our epistemic situation and so are not evaluable by cognitive values such as salience. I consider a case study that challenges this view. Some properties are distributed over an extension. For example, the property of being polka-dotted red on white, when instantiated, is distributed over a surface. Similar properties have been put to work in a variety of explanatory tasks in recent metaphysics, including: providing an (...)
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  • On the Logic of Factual Equivalence.Fabrice Correia - 2016 - Review of Symbolic Logic 9 (1):103-122.
    Say that two sentences are factually equivalent when they describe the same facts or situations, understood as worldly items, i.e. as bits of reality rather than as representations of reality. The notion of factual equivalence is certainly of central interest to philosophical semantics, but it plays a role in a much wider range of philosophical areas. What is the logic of factual equivalence? This paper attempts to give a partial answer to this question, by providing an answer the following, more (...)
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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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  • Logical grounds.Fabrice Correia - 2013 - Review of Symbolic Logic (1):1-29.
    I identify a notion of logical grounding, clarify it, and show how it can be used (i) to characterise various consequence relations, and (ii) to give a precise syntactic account of the notion of “groundedness” at work in the literature on the paradoxes of truth.
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  • An Impure Logic of Representational Grounding.Fabrice Correia - 2017 - Journal of Philosophical Logic 46 (5):507-538.
    I give a semantic characterisation of a system for the logic of grounding similar to the system introduced by Kit Fine in his “Guide to Ground”, as well as a semantic characterisation of a variant of that system which excludes the possibility of what Fine calls ‘zero-grounding’.
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  • What Grounds What Grounds What.Michael J. Clark - 2018 - Philosophical Quarterly 68 (270):38-59.
    If there are facts about what grounds what, are there any grounding relations between them? This paper suggests so, arguing that transitivity and amalgamation principles in the logic of grounding yield facts of grounding that are grounded by others. I develop and defend this view and note that combining it with extant accounts of iterated grounding commits us to seemingly problematic instances of ground-theoretic overdetermination. Taking the superinternality thesis as a case study, I discuss how defenders of this thesis should (...)
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  • Deep Platonism.Chad Carmichael - 2016 - Philosophy and Phenomenological Research 92 (2):307-328.
    According to the traditional bundle theory, particulars are bundles of compresent universals. I think we should reject the bundle theory for a variety of reasons. But I will argue for the thesis at the core of the bundle theory: that all the facts about particulars are grounded in facts about universals. I begin by showing how to meet the main objection to this thesis (which is also the main objection to the bundle theory): that it is inconsistent with the possibility (...)
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  • The Constitution Relation and Baker’s Account of It.Marta Campdelacreu - 2015 - International Journal of Philosophical Studies 23 (1):1-19.
    A traditional argument based on Leibniz’s Law concludes that, for example, a statue and the piece of marble of which it is made are two different objects. This is because they have different properties: the statue can survive the loss of some of its parts but the piece of marble cannot. Lynne Rudder Baker adds that the piece of marble constitutes the statue. In this paper I focus on what I think is the most powerful objection to Baker’s account of (...)
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  • A new solution to the grounding problem.Marta Campdelacreu - 2020 - Humanities Journal of Valparaiso 16:61-87.
    Let us consider a statue and the piece of clay out of which it is made, and let us suppose that they start to exist and cease to exist at exactly the same time. According to colocationism, the statue and the piece of clay are two different objects: they have different properties and, according to Leibniz’s Law, the same object cannot have different properties. One of the most difficult questions for colocationism is that of the grounding problem : given that (...)
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  • Viciousness and Circles of Ground.Ricki Bliss - 2014 - Metaphilosophy 45 (2):245-256.
    Metaphysicians of a certain stripe are almost unanimously of the view that grounding is necessarily irreflexive, asymmetric, transitive, and well-founded. They deny the possibility of circles of ground and, therewith, the possibility of species of metaphysical coherentism. But what's so bad about circles of ground? One problem for coherentism might be that it ushers in anti-foundationalism: grounding loops give rise to infinite regresses. And this is bad because infinite grounding regresses are vicious. This article argues that circles of ground do (...)
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  • No Normative Free Lunch: Relevance and the Autonomy of the Normative Domain.Singa Behrens - 2021 - Synthese 199 (5-6):13163-13186.
    The autonomy thesis is the claim that one cannot get a normative statement from purely descriptive statements. But despite its intuitive appeal a precise formulation of the thesis has remained elusive. In a recent paper, Maguire makes the promising suggestion that the thesis should be understood in terms of ground. But Maguire’s formulation, I argue, is based on controversial taxonomic assumptions that make the autonomy thesis into a non-substantive claim. I develop an alternative ground-based formulation of the autonomy thesis that (...)
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  • Evidentialism, circularity, and grounding.Bob Beddor - 2015 - Philosophical Studies 172 (7):1847-1868.
    This paper explores what happens if we construe evidentialism as a thesis about the metaphysical grounds of justification. According to grounding evidentialism, facts about what a subject is justified in believing are grounded in facts about that subject’s evidence. At first blush, grounding evidentialism appears to enjoy advantages over a more traditional construal of evidentialism as a piece of conceptual analysis. However, appearances are deceiving. I argue that grounding evidentialists are unable to provide a satisfactory story about what grounds the (...)
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  • The harmony of grounding.Sam Baron, Kristie Miller & Jonathan Tallant - 2022 - Philosophical Studies 179 (11):3421-3446.
    Mereological harmony is the idea that the mereological structure of objects mirrors the mereological structure of locations. Grounding harmony is the idea that there is a similar mirroring between the grounding structure of objects and locations. Our goal in this paper is exploratory: we introduce and then explore two notions of grounding harmony: locative and structural. We outline potential locative and structural harmony principles for grounding, and show which of these principles may entail, or be entailed by, principles of mereological (...)
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  • Groundless Truth.Sam Baron, Kristie Miller & James Norton - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (2):175-195.
    We defend two claims: (1) if one is attracted to a strong non-maximalist view about truthmaking, then it is natural to construe this as the view that there exist fundamental truths; (2) despite considerable aversion to fundamental truths, there is as yet no viable independent argument against them. That is, there is no argument against the existence of fundamental truths that is independent of any more specific arguments against the ontology accepted by the strong non-maximalist. Thus there is no argument (...)
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  • Grounding at a distance.Sam Baron, Kristie Miller & Jonathan Tallant - 2020 - Philosophical Studies 177 (11):3373-3390.
    What distinguishes causation from grounding? One suggestion is that causation, but not grounding, occurs over time. Recently, however, counterexamples to this simple temporal criterion have been offered. In this paper, we situate the temporal criterion within a broader framework that focuses on two aspects: locational overlapping in space and time and the presence of intermediaries in space and time. We consider, and reject, the idea that the difference between grounding and causation is that grounding can occur without intermediaries. We go (...)
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  • A new puppet puzzle.Andrew M. Bailey & Joshua Rasmussen - 2020 - Philosophical Explorations 23 (3):202-213.
    We develop a new puzzle concerning a material being's relationship to the smallest parts of the material world. In particular, we investigate how a being could be responsible for anything if its be...
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  • Divine Simplicity, Aseity, and Sovereignty.Matthew Baddorf - 2017 - Sophia 56 (3):403-418.
    The doctrine of divine simplicity has recently been ably defended, but very little work has been done considering reasons to believe God is simple. This paper begins to address this lack. I consider whether divine aseity or the related notion of divine sovereignty provide us with good reason to affirm divine simplicity. Divine complexity has sometimes been thought to imply that God would possess an efficient cause; or, alternatively, that God would be grounded by God’s constituents. I argue that divine (...)
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  • The Grounding of Identities.Lorenzo Azzano & Massimiliano Carrara - 2021 - Philosophia 49 (5):1943-1952.
    A popular stance amongst philosophers is one according to which, in Lewis’ words, “identity is utterly simple and unproblematic”. Building from Lewis’ famous passage on the matter, we reconstruct, and then criticize, an argument to the conclusion that identities cannot be grounded. With the help of relatively uncontroversial assumption concerning identity facts, we show that not all identities are equi-fundamental, and, on the contrary, some appear to be provided potential grounding bases using two-level identity criteria. Further potential grounding bases for (...)
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  • Fundación Y causalidad.José Tomás Alvarado - 2022 - Kriterion: Journal of Philosophy 63 (151):7-30.
    RESUMEN Trabajos recientes han propuesto un tratamiento de la fundación “a la imagen de la causalidad”. Hay importantes analogías entre la fundación y la causalidad: ambas parecen ser relaciones de ‘construcción’, ambas parecen ser órdenes estrictos y ambas parecen ser representables por modelos de ecuaciones estructurales. Pero también parece que hay importantes diferencias, porque la causalidad es usualmente considerada como una relación externa, mientras que la fundación es interna; hay casos de causalidad probabilística, pero no hay nada como una fundación (...)
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  • Intrinsicality, Independence and Grounding.Sophie R. Allen - 2020 - Metaphysica 21 (1):71-97.
    This paper investigates the plausibility of Witmer, Butchard and Trogdon’s proposal to distinguish intrinsic properties from extrinsic ones in terms of independence from accompaniment and grounding. I argue that the proposed criterion is not adequate to determine intrinsicality, since according to it some intuitively extrinsic properties turn out to be intrinsic. I suggest and evaluate two responses: first, one could characterize a conception of independence which is specific to the individual instantiating the property; and second, one could justify two assumptions (...)
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  • Multiple realization and expressive power in mathematics and ethics.David Liggins - 2016 - In Uri D. Leibowitz & Neil Sinclair (eds.), Explanation in Ethics and Mathematics: Debunking and Dispensability. Oxford, England: Oxford University Press UK.
    According to a popular ‘explanationist’ argument for moral or mathematical realism the best explanation of some phenomena are moral or mathematical, and this implies the relevant form of realism. One popular way to resist the premiss of such arguments is to hold that any supposed explanation provided by moral or mathematical properties is in fact provided only by the non-moral or non-mathematical grounds of those properties. Many realists have responded to this objection by urging that the explanations provided by the (...)
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  • The Coarse-Grainedness of Grounding.Kathrin Koslicki - 2015 - Oxford Studies in Metaphysics 9:306-344.
    After many years of enduring the drought and famine of Quinean ontology and Carnapian meta-ontology, the notion of ground, with its distinctively philosophical flavor, finally promises to give metaphysicians something they can believe in again and around which they can rally: their very own metaphysical explanatory connection which apparently cannot be reduced to, or analyzed in terms of, other familiar idioms such as identity, modality, parthood, supervenience, realization, causation or counterfactual dependence. Often, phenomena such as the following are cited as (...)
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  • Phenomenal Intentionality.David Bourget & Angela Mendelovici - 2016 - The Stanford Encyclopedia of Philosophy.
    Phenomenal intentionality is a kind of intentionality, or aboutness, that is grounded in phenomenal consciousness, the subjective, experiential feature of certain mental states. The phenomenal intentionality theory (PIT), is a theory of intentionality according to which there is phenomenal intentionality, and all other kinds of intentionality at least partly derive from it. In recent years, PIT has increasingly been seen as one of the main approaches to intentionality.
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  • Grounding and the Epistemic Regress Problem.Robert Weston Siscoe - 2024 - Erkenntnis 89 (3):875-896.
    Modal metaphysics consumed much of the philosophical discussion at the turn of the century, yielding a number of epistemological insights. Modal analyses were applied within epistemology, yielding sensitivity and safety theories of knowledge as well as counterfactual accounts of the basing relation. The contemporary conversation has now turned to a new metaphysical notion – grounding – opening the way to a fresh wave of insights by bringing grounding into epistemology. In this paper, I attempt one such application, making sense of (...)
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  • Knowledge and Action: What Depends on What?Itamar Weinshtock Saadon - forthcoming - Oxford Studies in Epistemology.
    Some philosophers think that knowledge or justification is both necessary and sufficient for rational action: they endorse knowledge-action or justification-action biconditionals. This paper offers a novel, metaphysical challenge to these biconditionals, which proceeds with a familiar question: What depends on what? If you know that p iff it is rational for you to act on p, do you know that p partly because it is rational for you to act on p, or is it rational for you to act on (...)
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  • Metafísica para Juristas.Samuele Chilovi - 2022 - In Guillermo Lariguet & D. Lagier (eds.), Filosofía para Juristas. Una Introducción.
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  • Too Many Omissions, Too Much Causation?Björn Petersson - 2019 - In Robin Stenwall & Tobias Hansson Wahlberg (eds.), Maurinian Truths : Essays in Honour of Anna-Sofia Maurin on her 50th Birthday. Lund, Sverige: Department of Philosophy, Lund University.
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  • What is Field's Epistemological Objection to Platonism?Ylwa Sjölin Wirling - 2019 - In Robin Stenwall & Tobias Hansson Wahlberg (eds.), Maurinian Truths : Essays in Honour of Anna-Sofia Maurin on her 50th Birthday. Lund, Sverige: Department of Philosophy, Lund University. pp. 123-133.
    This paper concerns an epistemological objection against mathematical platonism, due to Hartry Field.The argument poses an explanatory challenge – the challenge to explain the reliability of our mathematical beliefs – which the platonist, it’s argued, cannot meet. Is the objection compelling? Philosophers disagree, but they also disagree on (and are sometimes very unclear about) how the objection should be understood. Here I distinguish some options, and highlight some gaps that need to be filled in on the potentially most compelling version (...)
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  • Irrealism about Grounding.Naomi Thompson - 2018 - In Anthony O'Hear (ed.), Metaphysics. Cambridge, United Kingdom: Cambridge University Press.
    In this paper I explore irrealist alternatives to orthodox realism about grounding, and claim that at least some of these alternatives represent fertile areas for future discussion.
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  • Deliberative Indispensability and Epistemic Justification.Tristram McPherson - 2015 - In Russ Shafer-Landau (ed.), Oxford Studies in Metaethics, vol. 10. Oxford University Press. pp. 104-133.
    Many of us care about the existence of ethical facts because such facts appear crucial to making sense of our practical lives. On one tempting line of thought, this idea does more than raise the metaethical stakes: it can also play a central role in justifying our belief in those facts. In recent work, David Enoch has developed this tempting thought into a formidable new proposal in moral epistemology, that aims to explain how the deliberative indispensability of ethical facts gives (...)
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  • Robust Normativity, Morality, and Legal Positivism.David Plunkett - 2019 - In Toh Kevin, Plunkett David & Shapiro Scott (eds.), Dimensions of Normativity: New Essays on Metaethics and Jurisprudence. New York: Oxford University Press. pp. 105-136.
    This chapter discusses two different issues about the relationship between legal positivism and robust normativity (understood as the most authoritative kind of normativity to which we appeal). First, the chapter argues that, in many contexts when discussing “legal positivism” and “legal antipositivism”, the discussion should be shifted from whether legal facts are ultimately partly grounded in moral facts to whether they are ultimately partly grounded in robustly normative facts. Second, the chapter explores an important difference within the kinds of arguments (...)
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  • Grounding, Analysis, and Russellian Monism.Philip Goff - 2019 - In Sam Coleman (ed.), The Knowledge Argument. New York: Cambridge University Press. pp. 198-222.
    Few these days dispute that the knowledge argument demonstrates an epistemic gap between the physical facts and the facts about experience. It is much more contentious whether that epistemic gap can be used to demonstrate a metaphysical gap of a kind that is inconsistent with physicalism. In this paper I will explore two attempts to block the inference from an epistemic gap to a metaphysical gap – the first from the phenomenal concept strategy, the second from Russellian monism – and (...)
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  • Inheritance arguments for fundamentality.Kelly Trogdon - 2018 - In Ricki Bliss & Graham Priest (eds.), Reality and its Structure: Essays in Fundamentality. Oxford, UK: Oxford University Press. pp. 182-198.
    Discussion of a metaphysical sense of 'inheritance' and cognate notions relevant to fundamentality.
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  • Nietzschean Constructivism: Ethics and Metaethics for All and None.Alex Silk - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (3):244-280.
    This paper develops an interpretation of Nietzsche’s ethics and metaethics that reconciles his apparent antirealism with his engagement in normative discourse. Interpreting Nietzsche as a metaethical constructivist—as holding, to a first approximation, that evaluative facts are grounded purely in facts about the evaluative attitudes of the creatures to whom they apply—reconciles his vehement declarations that nothing is valuable in itself with his passionate expressions of a particular evaluative perspective and injunctions for the free spirits to create new values. Drawing on (...)
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  • Maurinian Truths : Essays in Honour of Anna-Sofia Maurin on her 50th Birthday.Robin Stenwall & Tobias Hansson Wahlberg (eds.) - 2019 - Lund, Sverige: Department of Philosophy, Lund University.
    This book is in honour of Professor Anna-Sofia Maurin on her 50th birthday. It consists of eighteen essays on metaphysical issues written by Swedish and international scholars.
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  • Emptying a Paradox of Ground.Jack Woods - 2018 - Journal of Philosophical Logic 47 (4):631-648.
    Sometimes a fact can play a role in a grounding explanation, but the particular content of that fact make no difference to the explanation—any fact would do in its place. I call these facts vacuous grounds. I show that applying the distinction between-vacuous grounds allows us to give a principled solution to Kit Fine and Stephen Kramer’s paradox of ground. This paradox shows that on minimal assumptions about grounding and minimal assumptions about logic, we can show that grounding is reflexive, (...)
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  • Is backing grounding?Ylwa Sjölin Wirling - 2020 - Ratio 33 (3):129-137.
    Separatists are grounding theorists who hold that grounding relations and metaphysical explanations are distinct, yet intimately connected in the sense that grounding relations back metaphysical explanations, just as causal relations back causal explanations. But Separatists have not elaborated on the nature of the ‘backing’ relation. In this paper, I argue that backing is a form of (partial) grounding. In particular, backing has many of the properties commonly attributed to grounding, and taking backing to be partial grounding allows Separatists to make (...)
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  • No Work for a Theory of Grounding.Jessica M. Wilson - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (5-6):535-579.
    It has recently been suggested that a distinctive metaphysical relation— ‘Grounding’—is ultimately at issue in contexts in which some goings-on are said to hold ‘in virtue of’’, be ‘metaphysically dependent on’, or be ‘nothing over and above’ some others. Grounding is supposed to do good work in illuminating metaphysical dependence. I argue that Grounding is also unsuited to do this work. To start, Grounding alone cannot do this work, for bare claims of Grounding leave open such basic questions as whether (...)
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  • Set-Theoretic Dependence.John Wigglesworth - 2015 - Australasian Journal of Logic 12 (3):159-176.
    In this paper, we explore the idea that sets depend on, or are grounded in, their members. It is said that a set depends on each of its members, and not vice versa. Members do not depend on the sets that they belong to. We show that the intuitive modal truth conditions for dependence, given in terms of possible worlds, do not accurately capture asymmetric dependence relations between sets and their members. We extend the modal truth conditions to include impossible (...)
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  • Fundamentality And Modal Freedom.Jennifer Wang - 2016 - Philosophical Perspectives 30 (1):397-418.
    A fundamental entity is an entity that is ‘ontologically independent’; it does not depend on anything else for its existence or essence. It seems to follow that a fundamental entity is ‘modally free’ in some sense. This assumption, that fundamentality entails modal freedom (or ‘FEMF’ as I shall label the thesis), is used in the service of other arguments in metaphysics. But as I will argue, the road from fundamentality to modal freedom is not so straightforward. The defender of FEMF (...)
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  • The ground of ground, essence, and explanation.Michael Wallner - 2021 - Synthese 198 (Suppl 6):1257-1277.
    This paper is about the so-called meta-grounding question, i.e. the question of what grounds grounding facts of the sort ‘φ is grounded in Γ ’. An answer to this question is pressing since some plausible assumptions about grounding and fundamentality entail that grounding facts must be grounded. There are three different accounts on the market which each answer the meta-grounding question differently: Bennett’s and deRosset’s “Straight Forward Account” (SFA), Litland’s “Zero-Grounding Account” (ZGA), and “Grounding Essentialism” (GE). I argue that if (...)
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  • The epistemology of modality and the problem of modal epistemic friction.Anand Jayprakash Vaidya & Michael Wallner - 2021 - Synthese 198 (Suppl 8):1909-1935.
    There are three theories in the epistemology of modality that have received sustained attention over the past 20 years: conceivability-theory, counterfactual-theory, and deduction-theory. In this paper we argue that all three face what we call the problem of modal epistemic friction. One consequence of the problem is that for any of the three accounts to yield modal knowledge, the account must provide an epistemology of essence. We discuss an attempt to fend off the problem within the context of the internalism (...)
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  • Priority monism.Kelly Trogdon - 2017 - Philosophy Compass 12 (11):1-10.
    Argument that priority monism is best understood as being a contingent thesis.
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  • Prioritizing platonism.Kelly Trogdon & Sam Cowling - 2019 - Philosophical Studies 176 (8):2029-2042.
    Discussion of atomistic and monistic theses about abstract reality.
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