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Summary Consider the following three claims made by Plato, Russell, and Kripke, respectively: an act is lovable by the gods in virtue of its being pious, complexes exist because simples exist, and the fact that our use of the term ‘Aristotle’ is causally connected in the right kind of way to how it was originally used explains why ‘Aristotle’ refers to Aristotle when we use the term. Some suggest that these and related claims should be read as grounding claims – claims about what grounds what. Key issues with respect to grounding include whether grounding is unitary, whether we can analyze the concept of grounding, the logical form of grounding statements, how grounding is related to explanation as well as necessity, and what philosophical work grounding can be put to.  
Key works Recent interest in grounding is due in large part to the following four papers: Fine 2001, Fine 2012, Rosen 2010, and Schaffer 2009
Introductions For introductions to and surveys of recent work on grounding, see Bliss & Trogdon 2014, Clark & Liggins 2012, Correia & Schnieder 2012Raven 2015, and Trogdon 2013.  
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410 found
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  1. Are Skeptical Doubts About Ground Warranted?Louis deRosset - manuscript
    No. More carefully: apparently not. [This piece was commissioned for the Routledge Handbook of Metaphysical Ground. Depending on the decisions of the editor, Michael J. Raven, it may be published there.].
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  2. Investigating Non-Philosophers’ Judgements About the Asymmetry of Metaphysical Explanation.Andrew James Latham & Kristie Miller - manuscript
    It is often supposed that metaphysical explanation is asymmetric: that for all x and y, if x metaphysically explains y, then y does not metaphysically explain x. Even amongst those who hold that metaphysical explanation is not asymmetric, but nonsymmetric, it is assumed that a relatively small number of particular explanations are symmetric: by and large, if x metaphysically explains y, then y does not metaphysically explain x. Both parties agree that as a matter of fact we at least typically (...)
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  3. Metaphysically Opaque Grounding.Henrik Rydéhn - manuscript
    It is commonly assumed that metaphysical grounding is an especially intimate and powerful connection between facts that enables a form of explanation which is particularly strict and illuminating. An arguably related idea is that grounding is necessarily connected with the core features of things – their essences or natures. This article is concerned with metaphysically opaque grounding – a form of grounding which falsifies both these ideas. I argue that there are important views in metaphysics that are committed to there (...)
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  4. Counterfactuals of Ontological Dependence.Sam Baron - forthcoming - Journal of the American Philosophical Association.
    A great deal has been written about 'would' counterfactuals of causal dependence. Comparatively little has been said regarding 'would' counterfactuals of ontological dependence. The standard Lewis-Stalnaker semantics is inadequate for handling such counterfactuals. That's because some of these counterfactuals are counterpossibles, and the standard Lewis-Stalnaker semantics trivializes for counterpossibles. Fortunately, there is a straightforward extension of the Lewis-Stalnaker semantics available that handles counterpossibles: simply take Lewis's closeness relation that orders possible worlds and unleash it across impossible worlds. To apply the (...)
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  5. Contingent Grounding.Nathaniel Baron-Schmitt - forthcoming - Synthese:1-20.
    A popular principle about grounding, “Internality”, says that if A grounds B, then necessarily, if A and B obtain, then A grounds B. I argue that Internality is false. Its falsity reveals a distinctive, new kind of explanation, which I call “ennobling”. Its falsity also entails that every previously proposed theory of what grounds grounding facts is false. I construct a new theory.
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  6. We Need Non-Factive Metaphysical Explanation.Michael Bertrand - forthcoming - Erkenntnis:1-21.
    Suppose that A explains B. Do A and B need to be true? Provided that we have metaphysical explanation in mind, orthodoxy answers “yes:” metaphysical explanation is factive. This article introduces and defends a non-factive notion of metaphysical explanation. I argue that we need a non-factive notion of explanation in order to make sense of explanationist arguments where we motivate a view by claiming that it offers better explanations than its competitors. After presenting and rejecting some initially plausible rivals, I (...)
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  7. Are Infinite Explanations Self-Explanatory?Alexandre Billon - forthcoming - Erkenntnis:1-20.
    Consider an infinite series whose items are each explained by their immediate successor. Does such an infinite explanation explain the whole series or does it leave something to be explained? Hume arguably claimed that it does fully explain the whole series. Leibniz, however, designed a very telling objection against this claim, an objection involving an infinite series of book copies. In this paper, I argue that the Humean claim can, in certain cases, be saved from the Leibnizian “infinite book copies” (...)
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  8. Indefinitely Descending Ground.Einar Duenger Bohn - forthcoming - In Ricki Bliss & Graham Priest (eds.), Reality and its Structure. Oxford University Press.
    In this paper I argue against grounding being necessarily well-founded, and provide some reasons to think it's actually not well-founded.
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  9. Explaining Why There is Something Rather Than Nothing.Andrew Brenner - forthcoming - Erkenntnis:1-17.
    It is sometimes supposed that, in principle, we cannot offer an explanation for why there is something rather than nothing. I argue that this supposition is a mistake, and stems from a needlessly myopic conception of the form explanations can legitimately take. After making this more general point, I proceed to offer a speculative suggestion regarding one sort of explanation which can in principle serve as an answer to the question “why is there something rather than nothing?” The suggestion is (...)
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  10. How Does God Know That 2 + 2 = 4?Andrew Brenner - forthcoming - Religious Studies:1-16.
    Sometimes theists wonder how God's beliefs track particular portions of reality, e.g. contingent states of affairs, or facts regarding future free actions. In this article I sketch a general model for how God's beliefs track reality. God's beliefs track reality in much the same way that propositions track reality, namely via grounding. Just as the truth values of true propositions are generally or always grounded in their truthmakers, so too God's true beliefs are grounded in the subject matters of those (...)
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  11. Metaphysical Foundationalism and Theoretical Unification.Andrew Brenner - forthcoming - Erkenntnis:1-21.
    Some facts ground other facts. Some fact is fundamental iff there are no other facts which partially or fully ground that fact. According to metaphysical foundationalism, every non-fundamental fact is fully grounded by some fundamental fact. In this paper I examine and defend some neglected considerations which might be made in favor of metaphysical foundationalism. Building off of work by Ross Cameron, I suggest that foundationalist theories are more unified than, and so in one important respect simpler than, non-foundationalist theories, (...)
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  12. Grounding Interventionism: Conceptual and Epistemological Challenges.Amanda Bryant - forthcoming - Metaphilosophy.
    Philosophers have recently highlighted substantial affinities between causation and grounding, which has inclined some to import the conceptual and formal resources of causal interventionism into the metaphysics of grounding. The prospect of grounding interventionism raises two important questions: exactly what are grounding interventions, and why should we think they enable knowledge of grounding? This paper will approach these questions by examining how causal interventionists have addressed (or might address) analogous questions and then comparing the available options for grounding interventionism. I (...)
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  13. Metafísica y Moral.Samuele Chilovi - forthcoming - In Ética Filosófica: Concepciones, Problemas, Proyecciones.
  14. The Explanatory Demands of Grounding in Law.Samuele Chilovi & George Pavlakos - forthcoming - Pacific Philosophical Quarterly.
    A new strategy in philosophy of law appeals to explanatory gap arguments to attack legal positivism. We argue that the strategy faces a dilemma, which derives from there being two available readings of the constraint it places on legal grounding. To this end, we elaborate the most promising ways of spelling out the epistemic constraints governing law-determination, and show that each of the arguments based on them has problems. Throughout the paper, we evaluate a number of explanatory requirements, ultimately with (...)
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  15. Salience and Metaphysical Explanation.Phil Corkum - forthcoming - Synthese:1-22.
    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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  16. A New Argument for the Groundedness of Grounding Facts.Fabrice Correia - forthcoming - Erkenntnis:1-16.
    Many philosophers have recently been impressed by an argument to the effect that all grounding facts about “derivative entities”—e.g. the facts expressed by the true sentences ‘the fact that Beijing is a concrete entity is grounded in the fact that its parts are concrete’ and ‘the fact that there are cities is grounded in the fact that p’, where ‘p’ is a suitable sentence couched in the language of particle physics—must themselves be grounded. This argument relies on a principle, Purity, (...)
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  17. Fundamentality From Grounding Trees.Fabrice Correia - forthcoming - Synthese:1-30.
    I provide and defend two natural accounts of fundamentality for facts that do justice to the idea that the “degree of fundamentality” enjoyed by a fact is a matter of how far, from a ground-theoretic perspective, the fact is from the ungrounded facts.
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  18. Granularity.Fabrice Correia - forthcoming - In Michael J. Raven (ed.), The Routledge Handbook of Metaphysical Grounding. New York, État de New York, États-Unis: pp. 228-243.
    Grounding is a hyperintensional notion: necessarily equivalent sentences need not be equivalent from a ground-theoretic perspective. How fine-grained, exactly, is grounding? There is a striking lack of consensus on this question. In this chapter, I try to systematize and review the main options that have been put forward in the literature. For reasons that have to do with both naturalness and convenience, I for the most part take the question to be about what is sometimes called, following Kit Fine’s (2012a) (...)
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  19. A Kind Route From Grounding to Fundamentality.Fabrice Correia - forthcoming - Synthese:1-17.
    I offer an account of fundamentality for facts in terms of metaphysical grounding. The account does justice to the idea that whether a fact is absolutely fundamental, and whether a fact is more fundamental than, or as fundamental as, another fact, are a matter of where in a grounding-induced hierarchy of kinds of facts these facts appear.
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  20. A Ground-Theoretical Modal Definition of Essence.Julio De Rizzo - forthcoming - Analysis.
    I provide a case-by-case definition of essential truths based on the notions of metaphysical necessity and ontological dependence. Relying on suggestions in the literature, I adopt a definition of the latter notion in terms of the notion of ground. The resulting account is adequate in the sense that it is not subject to Kit Fine’s famous counterexamples to the purely modal account of essence. In addition, it provides us with a novel conception of truths pertaining to the essence of objects, (...)
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  21. Hollow Truth.Louis deRosset - forthcoming - Philosophical Review.
    A raft of new philosophical problems concerning truth have recently been discovered by several theorists, following [Fine, 2010]. Most previ- ous commentators on these problems have taken them to shed light on the theory of ground. In this paper, I argue that they also shed light on the theory of truth. In particular, I argue that the notion of ground can be deployed to clearly articulate one strand of deflationary thinking about truth, according to which truth is “metaphysically lightweight.” I (...)
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  22. Denotational Semantics for Languages of Epistemic Grounding Based on Prawitz’s Theory of Grounds.Antonio Piccolomini D’Aragona - forthcoming - Studia Logica:1-49.
    We outline a class of term-languages for epistemic grounding inspired by Prawitz’s theory of grounds. We show how denotation functions can be defined over these languages, relating terms to proof-objects built up of constructive functions. We discuss certain properties that the languages may enjoy both individually and with respect to their expansions. Finally, we provide a ground-theoretic version of Prawitz’s completeness conjecture, and adapt to our framework a refutation of this conjecture due to Piecha and Schroeder-Heister.
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  23. Joints and Basic Ways.Christopher Frugé - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Metaphysicians often distinguish between joints and basic ways. Joints are the unified and joint-carving properties that trace the structure of the world. They are theorized under the ideology of structural, perfectly natural, or sparse properties. Basic ways are the ultimate and independent properties that give rise to all others. They are theorized under the ideology of grounding, where the ungrounded properties are the basic ways. While these notions are often seen as rivals, I argue that we need both, because the (...)
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  24. Structuring Wellbeing.Christopher Frugé - forthcoming - Philosophy and Phenomenological Research.
    Many questions about wellbeing involve metaphysical dependence. Does wellbeing depend on minds? Is wellbeing determined by distinct sorts of things? Is it determined differently for different subjects? However, we should distinguish two axes of dependence. First, there are the grounds that generate value. Second, there are the connections between the grounds and value which make it so that those grounds generate that value. Given these distinct axes of dependence, there are distinct dimensions to questions about the dependence of wellbeing. In (...)
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  25. Grounding, Quantifiers, and Paradoxes.Francesco A. Genco, Francesca Poggiolesi & Lorenzo Rossi - forthcoming - Journal of Philosophical Logic:1-32.
    The notion of grounding is usually conceived as an objective and explanatory relation. It connects two relata if one—the ground—determines or explains the other—the consequence. In the contemporary literature on grounding, much effort has been devoted to logically characterize the formal aspects of grounding, but a major hard problem remains: defining suitable grounding principles for universal and existential formulae. Indeed, several grounding principles for quantified formulae have been proposed, but all of them are exposed to paradoxes in some very natural (...)
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  26. Why 0-Adic Relations Have Truth Conditions: Essence, Ground, and Non-Hylomorphic Russellian Propositions.Cody Gilmore - forthcoming - In Chris Tillman (ed.), The Routledge Handbook of Propositions. London: Routledge.
    I formulate an account, in terms of essence and ground, that explains why atomic Russellian propositions have the truth conditions they do. The key ideas are that (i) atomic propositions are just 0-adic relations, (ii) truth is just the 1-adic version of the instantiation (or, as I will say, holding) relation (Menzel 1993: 86, note 27), and (iii) atomic propositions have the truth conditions they do for basically the same reasons that partially plugged relations, like being an x and a (...)
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  27. Grounding, Metaphysical Laws, and Structure.Martin Grajner - forthcoming - Analytic Philosophy.
    According to the deductive-nomological account of ground, a fact A grounds another fact B in case the laws of metaphysics determine the existence of B on the basis of the existence of A. Accounts of grounding of this particular variety have already been developed in the literature. My aim in this paper is to sketch a new version of this account. My preferred account offers two main improvements over existing accounts. First, the present account is able to deal with necessitarian (...)
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  28. A Puzzle About Laws and Explanation.Siegfried Jaag - forthcoming - Synthese:1-18.
    In this paper, we argue that the popular claim that laws of nature explain their instances creates a philosophical puzzle when it is combined with the widely held requirement that explanations need to be underpinned by ‘wordly’ relations. We argue that a “direct solution” to the puzzle that accounts for both explanatory laws and explanatory realism requires endorsing at least a radical metaphysics. Then, we examine the ramifications of a “skeptical solution”, i.e., dissolving it by giving up at least one (...)
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  29. Disjunctive Parts.Mark Jago - forthcoming - In Federico L. G. Faroldi & Frederik Van De Putte (eds.), Outstanding Contributions to Logic: Kit Fine. Springer.
    Fine (2017a) sets out a theory of content based on truthmaker semantics which distinguishes two kinds of consequence between contents. There is entailment, corresponding to the relationship between disjunct and disjunction, and there is containment, corresponding to the relationship between conjunctions and their conjuncts. Fine associates these with two notions of parthood: disjunctive and conjunctive. Conjunctive parthood is a very useful notion, allowing us to analyse partial content and partial truth. In this chapter, I extend the notion of disjunctive parthood (...)
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  30. Self-Explanation and Empty-Base Explanation.Yannic Kappes - forthcoming - Journal of the American Philosophical Association.
    This paper explores a novel notion of self-explanation which combines ideas from two sources: (1) the tripartite account of explanation, according to which a proposition can help explain another either in the capacity of a reason why the latter obtains or in the capacity of an explanatory link, and (2) the notion of an empty-base explanation (sometimes called 'null-explanation'), which generalizes the ideas of explanation by zero-grounding and explanation by status. After having introduced these ideas and the novel notion of (...)
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  31. Explanation by Status as Empty-Base Explanation.Yannic Kappes - forthcoming - Synthese:1-21.
    This paper explores the practice of explanation by status, in which a truth with a certain status is supposed to be explained by its having that status. It first investigates whether such explanations are possible. Having found existing accounts of the practice wanting, it then argues for a novel account of explanation by status as empty-base explanation. The latter notion captures a certain limiting case of ordinary explanation so that according to the empty-base account, explanation by status can be fruitfully (...)
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  32. An Explanatory Idealist Theory of Grounding.David Mark Kovacs - forthcoming - Noûs.
    How is grounding related to metaphysical explanation? The standard view is that the former somehow “backs”, “undergirds” or “underlies” the latter. This view fits into a general picture of explanation, according to which explanations in general hold in virtue of a certain elite group of “explanatory relations” or “determinative relations” that back them. This paper turns the standard view on its head: grounding doesn't “back” metaphysical explanation but is in an important sense downstream from it. I call this view “grounding (...)
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  33. Grounding, Essence, and Contingentism.Karol Lenart - forthcoming - Philosophia:1-16.
    According to grounding necessitarianism if some facts ground another fact, then the obtaining of the former necessitates the latter. Proponents of grounding contingentism argue against this claim, stating that it is possible for the former facts to obtain without necessitating the latter. In this article I discuss a recent argument from restricted accidental generalisations provided by contingentists that advances such possibility. I argue that grounding necessitarianism can be defended against it. To achieve this aim, I postulate a relationship between grounding (...)
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  34. Disjunction and the Logic of Grounding.Giovanni Merlo - forthcoming - Erkenntnis:1-21.
    Many philosophers have been attracted to the idea of using the logical form of a true sentence as a guide to the metaphysical grounds of the fact stated by that sentence. This paper looks at a particular instance of that idea: the widely accepted principle that disjunctions are grounded in their true disjuncts. I will argue that an unrestricted version of this principle has several problematic consequences and that it’s not obvious how the principle might be restricted in order to (...)
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  35. Ontology Without Hierarchy.Kristie Miller, Michael J. Duncan & James Norton - forthcoming - In Javier Cumpa (ed.), The Question of Ontology: The Contemporary Debate. Oxford University Press.
    It has recently become popular to suggest that questions of ontology ought be settled by determining, first, which fundamental things exist, and second, which derivative things depend on, or are grounded by, those fundamental things. This methodology typically leads to a hierarchical view of ontology according to which there are chains of entities, each dependent on the next, all the way down to a fundamental base. In this paper we defend an alternative ontological picture according to which there is no (...)
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  36. Non-Cognitivism About Metaphysical Explanation.Kristie Miller & James Norton - forthcoming - Analytic Philosophy.
    This paper introduces a non-cognitivist account of metaphysical explanation according to which the core function of judgements of the form ⌜x because y⌝ is not to state truth-apt beliefs. Instead, their core function is to express attitudes of commitment to, and recommendation of the acceptance of certain norms governing interventional conduct at contexts.
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  37. Living Without Microphysical Supervenience.Alex Moran - forthcoming - Philosophical Studies:1-24.
    The Doctrine of Microphysical Supervenience states that microphysical duplicates cannot differ in their intrinsic properties. According to Merricks (1998a, 2001), however, this thesis is false, since microphysical duplicates can differ with respect to the intrinsic property of consciousness. In my view, Merricks’ argument is plausible, and extant attempts to reject it are problematic. However, the argument also threatens to make consciousness appear mysterious, by implying that consciousness facts fail to be microphysically determined and that there can be brute and inexplicable (...)
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  38. Foundational Grounding and Creaturely Freedom.Kenneth L. Pearce - forthcoming - Mind:fzab024.
    According to classical theism, the universe depends on God in a way that goes beyond mere (efficient) causation. I have previously argued that this ‘deep dependence’ of the universe on God is best understood as a type of grounding. In a recent paper in this journal, Aaron Segal argues that this doctrine of deep dependence causes problems for creaturely free will: if our choices are grounded in facts about God, and we have no control over these facts, then we do (...)
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  39. Grounding Orthodoxy and the Layered Conception.Gabriel Oak Rabin - forthcoming - In Ricki Leigh Bliss & Graham Priest (eds.), Reality and its Structure. Oxford University Press.
    Ground offers the hope of vindicating and illuminating an classic philosophical idea: the layered conception, according to which reality is structured by relations of dependence, with physical phenomena on the bottom, upon which chemistry, then biology, and psychology reside. However, ground can only make good on this promise if it is appropriately formally behaved. The paradigm of good formal behavior can be found in the currently dominant grounding orthodoxy, which holds that ground is transitive, antisymmetric, irreflexive, and foundational. However, heretics (...)
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  40. In Defence of Explanatory Realism.Stefan Roski - forthcoming - Synthese:1-21.
    Explanatory realism is the view that explanations work by providing information about relations of productive determination such as causation or grounding. The view has gained considerable popularity in the last decades, especially in the context of metaphysical debates about non-causal explanation. What makes the view particularly attractive is that it fits nicely with the idea that not all explanations are causal whilst avoiding an implausible pluralism about explanation. Another attractive feature of the view is that it allows explanation to be (...)
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  41. Properties and a Grounding Principle.Noel Saenz - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    In this paper, I advance a lesser known counterfactual principle of grounding in a new kind of way by appealing to properties and the work they do. I then show that this new way of arguing for this principle is superior to another way, describe some of the work this principle can do, defend my use of this principle, and conclude with remarks on why principles like it are needed.
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  42. No Ground to Bridge the Gap.Elisabetta Sassarini - forthcoming - Synthese:1-19.
    This paper examines an argument by Schaffer that aims to prove how, contrary to what many philosophers hold, there is no special explanatory gap occurring in the connection between the physical and the phenomenal. This is because a gap of the same kind can be found in every connection between a more fundamental and a less fundamental level of reality. These gaps lurk everywhere in nature. For Schaffer, they can be bridged by means of substantive metaphysical principles such as grounding (...)
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  43. Where Are You Going, Metaphysics, and How Are You Getting There? - Grounding Theory as a Case Study.Gila Sher - forthcoming - In Quo Vadis, Metaphysics? Berlin, Germany: de Gruyter Studium.
    The viability of metaphysics as a field of knowledge has been challenged time and again. But in spite of the continuing tendency to dismiss metaphysics, there has been considerable progress in this field in the 20th- and 21st- centuries. One of the newest − though, in a sense, also oldest − frontiers of metaphysics is the grounding project. In this paper I raise a methodological challenge to the new grounding project and propose a constructive solution. Both the challenge and its (...)
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  44. Grounding and A Priori Epistemology: Challenges for Conceptualism.Robert Weston Siscoe - forthcoming - Synthese.
    Traditional rationalist approaches to a priori epistemology have long been looked upon with suspicion for positing a faculty of rational intuition capable of knowing truths about the world apart from experience. Conceptualists have tried to fill this void with something more empirically tractable, arguing that we know a priori truths due to our understanding of concepts. All of this theorizing, however, has carried on while neglecting an entire cross section of such truths, the grounding claims that we know a priori. (...)
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  45. Grounding, Understanding, and Explanation.Wes Siscoe - forthcoming - Pacific Philosophical Quarterly.
    Starting with the slogan that understanding is a 'knowledge of causes,' Stephen Grimm and John Greco have argued that understanding comes from a knowledge of dependence relations. Grounding is the trendiest dependence relation on the market, and if Grimm and Greco are correct, then instances of grounding should also give rise to understanding. In this paper, I will show that this prediction is correct-grounding does indeed generate understanding in just the way that Grimm and Greco anticipate. However, grounding examples of (...)
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  46. Recent Work on Physicalism.Justin Tiehen - forthcoming - Analysis.
    A review of recent work on physicalism, focusing on what it means to say nothing exists over and above the physical, how "the physical" should be defined, and the causal argument for physicalism.
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  47. Full and Partial Grounding.Kelly Trogdon & D. Gene Witmer - forthcoming - Journal of the American Philosophical Association:1-20.
    Discussion of partial grounds that aren't parts of full grounds; definition of full grounding in terms of partial grounding.
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  48. Essence, Explanation, and Modality.Michael Wallner & Anand Vaidya - forthcoming - Philosophy:1-27.
    Recently, Kit Fine's view that modal truths are true in virtue of, grounded in, or explained by essentialist truths has been under attack. In what follows we offer two responses to the wave of criticism against his view. While the first response is pretty straightforward, the second is based on the distinction between, what we call, Reductive Finean Essentialism and Non-Reductive Finean Essentialism. Engaging the work of Bob Hale on Non-Reductive Finean Essentialism, we aim to show that the arguments against (...)
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  49. Arbitrary Grounding.Jonas Werner - forthcoming - Philosophical Studies:1-21.
    The aim of this paper is to introduce, elucidate and defend the usefulness of a variant of grounding, or metaphysical explanation, that has the feature that the grounds explain of some states of affairs that one of them obtains without explaining which one obtains. I will dub this variant arbitrary grounding. After informally elucidating the basic idea in the first section, I will provide three metaphysical hypotheses that are best formulated in terms of arbitrary grounding in the second section. The (...)
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  50. Mathematical Anti-Realism and Explanatory Structure.Bruno Whittle - forthcoming - Synthese:1-15.
    Plausibly, mathematical claims are true, but the fundamental furniture of the world does not include mathematical objects. This can be made sense of by providing mathematical claims with paraphrases, which make clear how the truth of such claims does not require the fundamental existence of mathematical objects. This paper explores the consequences of this type of position for explanatory structure. There is an apparently straightforward relationship between this sort of structure, and the logical sort: i.e. logically complex claims are explained (...)
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