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Metaphysical Dependence: Grounding and Reduction

In Bob Hale & Aviv Hoffmann (eds.), Modality: Metaphysics, Logic, and Epistemology. Oxford University Press. pp. 109-135 (2010)

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  1. The Grounds and the Components of Concepts.Jan Claas - 2023 - Erkenntnis 88 (6):2409-2429.
    In this paper I investigate the idea that in conceptual analysis we are in a substantial way concerned with revealing metaphysical grounds. I argue that a recent proposal fails, according to which we aim to reveal what complex concepts are grounded in. The notion ofcomposition, rather than that ofgrounding, is the best way to understand the intuitive hierarchy of concepts. In an analysis we reveal thecomponentsorpartsof complex concepts and their structure. Finally, I propose an alternative role for grounding in our (...)
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  • Recent work on grounding.Michael J. Clark & David Liggins - 2012 - Analysis Reviews 72 (4):812-823.
    There is currently an explosion of interest in grounding. In this article we provide an overview of the debate so far. We begin by introducing the concept of grounding, before discussing several kinds of scepticism about the topic. We then identify a range of central questions in the theory of grounding and discuss competing answers to them that have emerged in the debate. We close by raising some questions that have been relatively neglected but which warrant further attention.
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  • How to Distinguish Simple Objectless Ideas.Jan Claas - 2022 - History and Philosophy of Logic 44 (4):422-441.
    Bernard Bolzano offers a criterion of individuation for ideas, according to which ideas are distinct if and only if they represent different objects or are composed differently. It fails to individuate ideas that are both simple and fail to represent, in particular syncategorematic ideas and logical constants. However, Bolzano also provides the means to close this gap. He suggests that we can distinguish ideas if they are not substitutable for each other in propositions, which we can, in turn, distinguish in (...)
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  • A Puzzle About Partial Grounding.Michael J. Clark - 2015 - Thought: A Journal of Philosophy 4 (3):189-197.
    I argue that plausible claims in the logic of partial grounding, when combined with a plausible analysis of that concept, entail the falsity of plausible grounding claims. As our account of the concept of partial grounding and its logic should be consistent with plausible grounding claims, this is problematic. The argument hinges on the idea that some facts about what grounds what are grounded in others, which is an idea the paper aims to motivate.
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  • Presentational Phenomenology.Elijah Chudnoff - 2012 - In Sofia Miguens & Gerhard Preyer (eds.), Consciousness and Subjectivity. [Place of publication not identified]: Ontos Verlag. pp. 51–72.
    A blindfolded clairvoyant walks into a room and immediately knows how it is arranged. You walk in and immediately see how it is arranged. Though both of you represent the room as being arranged in the same way, you have different experiences. Your experience doesn’t just represent that the room is arranged a certain way; it also visually presents the very items in the room that make that representation true. Call the felt aspect of your experience made salient by this (...)
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  • What Should a Theory of Knowledge Do?Elijah Chudnoff - 2011 - Dialectica 65 (4):561-579.
    The Gettier Problem is the problem of revising the view that knowledge is justified true belief in a way that is immune to Gettier counter-examples. The “Gettier Problem problem”, according to Lycan, is the problem of saying what is misguided about trying to solve the Gettier Problem. In this paper I take up the Gettier Problem problem. I distinguish giving conditions that are necessary and sufficient for knowledge from giving conditions that explain why one knows when one does know. I (...)
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  • Experiential holism in time.Philippe Chuard - 2022 - Mind and Language 37 (4):619-637.
    Temporally extended experiences, experiential holists have it, are not reducible to successions of their temporal parts because some whole experiences determine their parts (in some way). This paper suggests, first, that some forms of experiential holism are in fact consistent with the rival atomist view (that experiences are successions of their parts) and, second, that the main reasons advanced for experiential holism are compatible with atomism too. The paper then looks at how holistic determination of its parts by a whole (...)
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  • Awareness of Abstract Objects.Elijah Chudnoff - 2012 - Noûs 47 (4):706-726.
    Awareness is a two-place determinable relation some determinates of which are seeing, hearing, etc. Abstract objects are items such as universals and functions, which contrast with concrete objects such as solids and liquids. It is uncontroversial that we are sometimes aware of concrete objects. In this paper I explore the more controversial topic of awareness of abstract objects. I distinguish two questions. First, the Existence Question: are there any experiences that make their subjects aware of abstract objects? Second, the Grounding (...)
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  • Is Truth Valuable?Ryan Christensen - 2013 - Philosophy 88 (3):451-466.
    This paper examines a puzzle about whether truth is a valuable property: Valuable properties, like beauty and moral goodness, come in degrees; but truth does not come in degrees. Hence, the argument concludes, truth is not valuable. This result is puzzling since it seems to conflict with a deep intuition that truth is valuable. It is suggested that a roughly Platonic theory, on which truth is distinguished into two different concepts, gives a satisfying answer to the puzzle. One of these (...)
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  • A Church–Fitch proof for the universality of causation.Christopher Gregory Weaver - 2013 - Synthese 190 (14):2749-2772.
    In an attempt to improve upon Alexander Pruss’s work (The principle of sufficient reason: A reassessment, pp. 240–248, 2006), I (Weaver, Synthese 184(3):299–317, 2012) have argued that if all purely contingent events could be caused and something like a Lewisian analysis of causation is true (per, Lewis’s, Causation as influence, reprinted in: Collins, Hall and paul. Causation and counterfactuals, 2004), then all purely contingent events have causes. I dubbed the derivation of the universality of causation the “Lewisian argument”. The Lewisian (...)
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  • The Explanatory Demands of Grounding in Law.Samuele Chilovi & George Pavlakos - 2022 - Pacific Philosophical Quarterly 103 (4):900-933.
    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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  • On the (in)significance of Hume’s Law.Samuele Chilovi & Daniel Wodak - 2022 - Philosophical Studies 179 (2):633-653.
    Hume’s Law that one cannot derive an “ought” from an “is” has often been deemed to bear a significance that extends far beyond logic. Repeatedly, it has been invoked as posing a serious threat to views about normativity: naturalism in metaethics and positivism in jurisprudence. Yet in recent years, a puzzling asymmetry has emerged: while the view that Hume’s Law threatens naturalism has largely been abandoned (due mostly to Pigden’s work, see e.g. Pigden 1989), the thought that Hume’s Law is (...)
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  • Grounding entails supervenience.Samuele Chilovi - 2021 - Synthese 198 (S6):1317-1334.
    Do grounding claims entail corresponding supervenience claims? The question matters, as a positive answer would help grounding theorists address worries that their hyperintensional primitive is obscure, and also increase the argumentative strategies that are available within ground-theoretic frameworks for metaphysical inquiry. Leuenberger (Erkenntnis 79:227–240, 2014a) argues for a negative response, by specifying some candidate principles of entailment and then claiming that each of them is subject to counterexamples. In this paper, I critically assess those principles and the objections he raises (...)
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  • Grounding-based formulations of legal positivism.Samuele Chilovi - 2020 - Philosophical Studies 177 (11):3283-3302.
    The goal of this paper is to provide an accurate grounding-based formulation of positivism in the philosophy of law. I start off by discussing some simple formulations, based on the ideas that social facts are always either full or partial grounds of legal facts. I then raise a number of objections against these definitions: the full grounding proposal rules out possibilities that are compatible with positivism; the partial grounding proposal fails, on its own, to vindicate the distinctive role that is (...)
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  • ​​Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function.Eddy Keming Chen - 2017 - Journal of Philosophy 114 (7):333-365.
    The mathematical structure of realist quantum theories has given rise to a debate about how our ordinary 3-dimensional space is related to the 3N-dimensional configuration space on which the wave function is defined. Which of the two spaces is our (more) fundamental physical space? I review the debate between 3N-Fundamentalists and 3D-Fundamentalists and evaluate it based on three criteria. I argue that when we consider which view leads to a deeper understanding of the physical world, especially given the deeper topological (...)
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  • Grounding practical normativity: going hybrid.Ruth Chang - 2013 - Philosophical Studies 164 (1):163-187.
    In virtue of what is something a reason for action? That is, what makes a consideration a reason to act? This is a metaphysical or meta-normative question about the grounding of reasons for action. The answer to the grounding question has been traditionally given in ‘pure’, univocal terms. This paper argues that there is good reason to understand the ground of practical normativity as a hybrid of traditional ‘pure’ views. The paper 1) surveys the three leading ‘pure’ answers to the (...)
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  • The Unity of Dependence.Jack Casey - 2022 - Journal of the American Philosophical Association (2):1-18.
    Most philosophers treat ontological dependence and metaphysical dependence as distinct relations. A number of key differences between the two relations are usually cited in support of this claim: ontological dependence's unique connection to existence, differing respective connections to metaphysical necessitation, and a divergence in their formal features. Alongside reshaping some of the examples used to maintain the distinction between the two, I argue that the additional resources offered by the increased attention the notion of grounding has received in recent years (...)
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  • Thin objects: An overview.Massimiliano Carrara & Luca Zanetti - 2023 - Theoria 89 (3):239-246.
    In Thin objects: an abstractionist account (Oxford University Press, 2018), Øystein Linnebo claims that ‘mathematical objects are thin in the sense that very little is required for their existence’. Linnebo articulates his view in an abstractionist manner: according to Linnebo, the truth of the right‐hand side of a Fregean abstraction principle, which states that two items stand in a given equivalence relation, is sufficient for the truth of its left‐hand side, which states that the same abstract object is associated to (...)
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  • On Explaining Necessity by the Essence of Essence.Carlos Romero - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    There has been much debate recently on the question whether essence can explain modality. Here, I examine two routes to an essentialist account of modality. The first is Hale's argument for the necessity of essence, which I will argue is — notwithstanding recent attempted defences of it — invalid by its very structure. The second is the proposal that it is essential to essential truth that it is necessary. After offering three possible versions of the view, I will argue that (...)
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  • Identity criteria: an epistemic path to conceptual grounding.Massimiliano Carrara & Ciro De Florio - 2020 - Synthese 197 (7):3151-3169.
    Are identity criteria grounding principles? A prima facie answer to this question is positive. Specifically, two-level identity criteria can be taken as principles related to issues of identity among objects of a given kind compared with objects of a more basic kind. Moreover, they are grounding metaphysical principles of some objects with regard to others. In the first part of the paper we criticise this prima facie natural reading of identity criteria. This result does not mean that identity criteria could (...)
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  • Humean laws, circularity, and contrastivity.Pablo Carnino - 2020 - Synthese 198 (9):8713-8731.
    A well-known objection to Humean accounts of laws charges them with circularity. While the view has it that particular facts explain the natural laws, natural laws are often relied upon in order to explain particular facts. Thus, the Humean is committed to circular explanations—or so goes the argument. In this paper, I review two ways of dealing with the circularity objection against Humean views of laws. Then, by introducing a contrastive treatment of explanations, I put forward a new one, which, (...)
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  • Grounding is Not Superinternal.Pablo Carnino - 2017 - Thought: A Journal of Philosophy 6 (1):24-32.
    Whenever a fact P grounds another fact Q, one may ask why that is so. Karen Bennett and Louis deRosset independently argue that grounding facts—such as the fact that P grounds Q—are always grounded in their grounds-part. Bennett calls this the view that grounding is superinternal. My aim in this paper is to argue that grounding is not superinternal. I will do so by showing that superinternality, together with some widely accepted formal features of grounding—namely, transitivity and necessitation—yield implausible claims (...)
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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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  • Soames’s new conception of propositions.Ben Caplan - 2016 - Philosophical Studies 173 (9):2533-2549.
    In this paper, I argue that, when it comes to explaining what can be described as “representational” properties of propositions, Soames’s new conception of propositions—on which the proposition that Seattle is sunny is the act of predicating the property being sunny of Seattle and to entertain that proposition is to perform that act—does not have an advantage over traditional ones.
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  • Ontological superpluralism.Ben Caplan - 2011 - Philosophical Perspectives 25 (1):79-114.
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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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  • Do We Need Grounding?Ross P. Cameron - 2016 - Inquiry: An Interdisciplinary Journal of Philosophy 59 (4):382-397.
    Many have been tempted to invoke a primitive notion of grounding to describe the way in which some features of reality give rise to others. Jessica Wilson argues that such a notion is unnecessary to describe the structure of the world: that we can make do with specific dependence relations such as the part–whole relation or the determinate–determinable relation, together with a notion of absolute fundamentality. In this paper I argue that such resources are inadequate to describe the particular ways (...)
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  • Chains of Being: Infinite Regress, Circularity, and Metaphysical Explanation.Ross P. Cameron - 2022 - Oxford: Oxford University Press.
    'Chains of Being' argues that there can be infinite chains of dependence or grounding. Cameron also defends the view that there can be circular relations of ontological dependence or grounding, and uses these claims to explore issues in logic and ontology.
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  • Asymmetry cannot solve the circularity/regress problem of property structuralism.Ralf Busse - 2021 - Synthese 199 (3-4):10685-10720.
    Strong dispositional monism, the position that all fundamental physical properties consist in dispositional relations to other properties, is naturally construed as property structuralism. J. Lowe’s circularity/regress objection constitutes a serious challenge to SDM that questions the possibility of a purely relational determination of all property essences. The supervenience thesis of A. Bird’s graph-theoretic asymmetry reply to CRO can be rigorously proved. Yet the reply fails metaphysically, because it reveals neither a metaphysical determination of identities on a purely relational basis nor (...)
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  • A Puzzle about Identity.Alexis Burgess - 2012 - Thought: A Journal of Philosophy 1 (2):90-99.
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  • Pluralism and the problem of purity.David Builes - 2019 - Analysis 79 (3):394-402.
    Ontological Pluralism is the thesis that there are different ways of being. In his recent paper, ‘The only way to be’, Trenton Merricks has presented an important challenge to Pluralism in the form of a dilemma. The purpose of this paper is two-fold. First, I argue that Merricks’s argument against Pluralism, as stated, is unsound. I will argue that one horn of the dilemma is unproblematic for contemporary versions of Pluralism, defended by Jason Turner and Kris McDaniel, that are formulated (...)
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  • A puzzle about rates of change.David Builes & Trevor Teitel - 2020 - Philosophical Studies 177 (10):3155-3169.
    Most of our best scientific descriptions of the world employ rates of change of some continuous quantity with respect to some other continuous quantity. For instance, in classical physics we arrive at a particle’s velocity by taking the time-derivative of its position, and we arrive at a particle’s acceleration by taking the time-derivative of its velocity. Because rates of change are defined in terms of other continuous quantities, most think that facts about some rate of change obtain in virtue of (...)
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  • Naturalizing grounding: How theories of ground can engage science.Amanda Bryant - 2018 - Philosophy Compass 13 (5):e12489.
    This paper surveys some of the grounding literature searching for points of contact between theories of ground and science. I find that there are some places where a would-be naturalistic grounding theorist can draw inspiration. I synthesize a list of recommendations for how science may be put to use in theories of ground. I conclude that the prospects for naturalizing the metaphysics of ground are bright.
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  • Grounding interventionism: Conceptual and epistemological challenges.Amanda Bryant - 2022 - Metaphilosophy 53 (2-3):322-343.
    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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  • Is There a Humean Account of Quantities?Phillip Bricker - 2017 - Philosophical Issues 27 (1):26-51.
    Humeans have a problem with quantities. A core principle of any Humean account of modality is that fundamental entities can freely recombine. But determinate quantities, if fundamental, seem to violate this core principle: determinate quantities belonging to the same determinable necessarily exclude one another. Call this the problem of exclusion. Prominent Humeans have responded in various ways. Wittgenstein, when he resurfaced to philosophy, gave the problem of exclusion as a reason to abandon the logical atomism of the Tractatus with its (...)
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  • Metaphysical Foundationalism and Theoretical Unification.Andrew Brenner - 2023 - Erkenntnis 88 (4):1661-1681.
    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(s). 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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  • Explaining Why There is Something Rather than Nothing.Andrew Brenner - 2022 - Erkenntnis 87 (4):1831-1847.
    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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  • On the necessity of essence.Gaétan Bovey - 2022 - Philosophical Studies 179 (7):2167-2185.
    In the present inquiry, I defend the claim that the thesis that essence is the source of all necessity is compromised. I argue that, on pain of circularity, essentialists cannot successfully account for the necessity of essences. In response to the difficulties I raise, I discuss potential solutions on behalf of essentialists and explain why I find none of them compelling. My conclusion on the matter is that the best essentialists can hope for is a view where the necessity of (...)
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  • Essence, modality, and intrinsicality.Gaétan Bovey - 2021 - Synthese 198 (8):7715-7737.
    Kit Fine famously objected against the idea that essence can be successfully analyzed in terms of de re necessity. In response, I want to explore a novel, interesting, but controversial modal account of essence in terms of intrinsicality and grounding. In the first section, I will single out two theoretical requirements that any essentialist theory should meet—the essentialist desideratum and the essentialist challenge—in order to clarify Fine’s objections. In the second section, I will assess Denby’s improved modal account, which appeals (...)
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  • Monism, Emergence, and Plural Logic.Einar Duenger Bohn - 2012 - Erkenntnis 76 (2):211-223.
    In this paper I argue that we need to take irreducibly plural logic more seriously in metaphysical debates due to the fact that the verdict of many metaphysical debates hangs on it. I give two examples. The main example I focus on is the debate recently revived by Jonathan Schaffer over the fundamental cardinality of the world. I show how the three main arguments provided by Schaffer are unsound in virtue of an employment of plural logic. The second example I (...)
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  • From Hume's Dictum Via Submergence to Composition as Identity or Mereological Nihilism.Einar Duenger Bohn - 2014 - Pacific Philosophical Quarterly 95 (1):336-355.
    I show that a particular version of Hume's Dictum together with the falsity of Composition as Identity entails an incoherency, so either that version of Hume's Dictum is false or Composition as Identity is true. I conditionally defend the particular version of Hume's Dictum in play, and hence conditionally conclude that Composition as Identity is true. I end by suggesting an alternative way out for a persistent foe of Composition as Identity, namely mereological nihilism.
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  • Metaphysical Overdetermination.Ricki Bliss - 2023 - Philosophical Quarterly 73 (1):1-23.
    It is widely recognized by proponents of the notion that grounding can be, indeed is, overdetermined. Moreover, it seems safe to suppose that something of a consensus has emerged: grounding is overdetermined and there is nothing about it that we ought to find concerning. Not only is the overdetermination apparently not problematic, metaphysically speaking, but that grounding is overdetermined is not problematic, conceptually speaking, either. From a small sampling of alleged cases, however, no such conclusions can responsibly be drawn. And (...)
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  • The Moral Parody Argument Against Panpsychism.Zach Blaesi - 2022 - Philosophical Studies 179 (1):1821–1852.
    I exploit parallel considerations in the philosophy of mind and metaethics to argue that the reasoning employed in an important argument for panpsychism overgeneralizes to support an analogous position in metaethics: panmoralism. Next, I raise a number of problems for panmoralism and thereby build a case for taking the metaethical parallel to be a reductio ad absurdum of the argument for panpsychism. Finally, I contrast panmoralism with a position recently defended by Einar Duenger Bohn and argue that the two suffer (...)
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  • The moral parody argument against panpsychism.Zach Blaesi - 2021 - Philosophical Studies 179 (6):1821-1852.
    I exploit parallel considerations in the philosophy of mind and metaethics to argue that the reasoning employed in an important argument for panpsychism overgeneralizes to support an analogous position in metaethics: panmoralism. Next, I raise a number of problems for panmoralism and thereby build a case for taking the metaethical parallel to be a reductio ad absurdum of the argument for panpsychism. Finally, I contrast panmoralism with a position recently defended by Einar Duenger Bohn and argue that the two suffer (...)
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  • Grounding ontic structuralism.Joaquim Giannotti & Silvia Bianchi - 2021 - Synthese 199 (1-2):5205-5223.
    A respectable assessment of priority-based ontic structuralism demands an elucidation of its metaphysical backbone. Here we focus on two theses that stand in need of clarification: the Fundamentality Thesis states that structures are fundamental, and the Priority Thesis states that these structures are prior to putative fundamental objects, if these exist. Candidate notions to illuminate and such as supervenience and ontological dependence failed at this task. Our purpose is to show that grounding is the best competitor to articulate and, and (...)
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  • Minimal Anti-Humeanism.Harjit Bhogal - 2017 - Australasian Journal of Philosophy 95 (3):447-460.
    There is a tension in our theorizing about laws of nature: our practice of using and reasoning with laws of nature suggests that laws are universal generalizations, but if laws are universal generalizations then we face the problem of explanatory circularity. In this paper I elucidate this tension and show how it motivates a view of laws that I call Minimal Anti-Humeanism. This view says that the laws are the universal generalizations that are not grounded in their instances. I argue (...)
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  • We Need Non-factive Metaphysical Explanation.Michael Bertrand - 2022 - Erkenntnis 87 (3):991-1011.
    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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  • The Unity of Grounding.Selim Berker - 2018 - Mind 127 (507):729-777.
    I argue—contra moderate grounding pluralists such as Kit Fine and more extreme grounding pluralists such as Jessica Wilson—that there is fundamentally only one grounding/in-virtue-of relation. I also argue that this single relation is indispensable for normative theorizing—that we can’t make sense of, for example, the debate over consequentialism without it. It follows from what I argue that there is no metaethically-pure normative ethics.
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  • The Explanatory Ambitions of Moral Principles.Selim Berker - 2018 - Noûs 53 (4):904-936.
    Moral properties are explained by other properties. And moral principles tell us about moral properties. How are these two ideas related? In particular, is the truth of a given moral principle part of what explains why a given action has a given moral property? I argue “No.” If moral principles are merely concerned with the extension of moral properties across all possible worlds, then they cannot be partial explainers of facts about the instantiation of those properties, since in general necessitation (...)
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  • The Applicability of Mathematics to Physical Modality.Nora Berenstain - 2017 - Synthese 194 (9):3361-3377.
    This paper argues that scientific realism commits us to a metaphysical determination relation between the mathematical entities that are indispensible to scientific explanation and the modal structure of the empirical phenomena those entities explain. The argument presupposes that scientific realism commits us to the indispensability argument. The viewpresented here is that the indispensability of mathematics commits us not only to the existence of mathematical structures and entities but to a metaphysical determination relation between those entities and the modal structure of (...)
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