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Against Grounding Necessitarianism

Erkenntnis 80 (4):717-751 (2015)

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  1. Metaphysical and Conceptual Grounding.Robert Smithson - 2020 - Erkenntnis 85 (6):1501-1525.
    In this paper, I clarify the relation between two types of grounding: metaphysical and conceptual. Metaphysical grounding relates entities at more and less fundamental ontological levels. Conceptual grounding relates semantically primitive sentences and semantically derivative sentences. It is important to distinguish these relations given that both types of grounding can underwrite non-causal “in-virtue-of” claims. In this paper, I argue that conceptual and metaphysical grounding are exclusive: if a given in-virtue-of claim involves conceptual grounding, then it does not involve metaphysical grounding. (...)
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  • Composition, Contingency, and Local Supervenience.Deborah C. Smith - 2019 - Southern Journal of Philosophy 57 (4):589-612.
    A growing number of philosophers have argued against the orthodoxy that the correct principle of composition will be a metaphysically necessary truth. With contingentism about composition a seemingly viable option, it would appear that would‐be necessitarians shoulder the burden of proof. The aim of this paper is to demonstrate that the contingentist, too, has a significant burden. I argue that nonbrutal principles of composition satisfy a principle according to which facts about whether or not a collection composes supervene on noncomposition (...)
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  • Grounding and a priori epistemology: challenges for conceptualism.Robert Weston Siscoe - 2021 - Synthese 199 (3-4).
    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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  • The Grounding Mystique.Alan Sidelle - 2023 - The Monist 106 (3):225-238.
    Grounding has become all the rage in recent philosophical work and metaphilosophical discussions. While I agree that the concept of ground marks something useful, I am skeptical about the metaphysical weight many imbue it with, and the picture of ‘worldly layering’ that grounding talk inspires. My skepticism centers around the fact that grounding involves necessitation, combined with reasons for thinking matters of necessity are matters of logical or conceptual (semantic, psychological) relations. I sketch an argument for deflationism about ground based (...)
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  • The Metaphysics of Identity: Is Identity Fundamental?Erica Shumener - 2017 - Philosophy Compass 12 (1):1-13.
    Identity and distinctness facts are ones like “The Eiffel Tower is identical to the Eiffel Tower,” and “The Eiffel Tower is distinct from the Louvre.” This paper concerns one question in the metaphysics of identity: Are identity and distinctness facts metaphysically fundamental or are they nonfundamental? I provide an overview of answers to this question.
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  • Minimalism, Trivialism, Aristotelianism.Andrea Sereni & Luca Zanetti - 2023 - Theoria 89 (3):280-297.
    Minimalism and Trivialism are two recent forms of lightweight Platonism in the philosophy of mathematics: Minimalism is the view that mathematical objects arethinin the sense that “very little is required for their existence”, whereas Trivialism is the view that mathematical statements have trivial truth‐conditions, that is, that “nothing is required of the world in order for those conditions to be satisfied”. In order to clarify the relation between the mathematical and the non‐mathematical domain that these views envisage, it has recently (...)
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  • Taking causing out of Bennett's Making Things Up.Jonathan Schaffer - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (7):722-744.
    ABSTRACT In Making Things Up, Bennett defends the intriguing idea that causation should be included among the building relations. I critique Bennett’s arguments for inclusion, and claim that inclusion distorts her own treatments of causation, relative fundamentality, and absolute fundamentality. Instead, I argue for treating causation and grounding as separate species of generative, explanatory difference-making.
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  • Necessitation and the Changing Past.Arthur Schipper - 2022 - Theoria 88 (5):997-1013.
    A central tenet of truthmaker theory is that necessitation is necessary for truthmaking (NEC). This paper defends NEC in a novel, piecemeal way, namely by responding to a potential counterexample involving a changing past. If Carter won a race at t1 but is later disqualified at t2, then Carter no longer won at t1. A wholly past event seems to have changed in the future. The event makes ‘Carter won the race at t1’ (RACE) true between t1‐2 but fails to (...)
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  • Anchoring as Grounding: On Epstein’s the Ant Trap.Jonathan Schaffer - 2019 - Philosophy and Phenomenological Research 99 (3):749-767.
    Philosophy and Phenomenological Research, Volume 99, Issue 3, Page 749-767, November 2019.
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  • Part, slot, ground: foundations for neo-Aristotelian mereology.Thomas Sattig - 2019 - Synthese 198 (Suppl 11):2735-2749.
    Slot mereology reduces parthood to slot-filling: a material object is structured by a certain arrangement of slots; and the fillers of these slots are the object's proper parts. My aim in this essay is to go further and reduce slot-filling to essence and grounding. In combination, the reduction of parthood to slot-filling and the reduction of slot-filling to essence and grounding yields the reduction of parthood to essence and grounding. If this overarching reduction succeeds, it promises new metaphysical foundations for (...)
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  • Sums and Grounding.Noël B. Saenz - 2018 - Australasian Journal of Philosophy 96 (1):102-117.
    As I will use the term, an object is a mereological sum of some things just in case those things compose it simply in virtue of existing. In the first half of this paper, I argue that there are no sums. The key premise for this conclusion relies on a constraint on what, in certain cases, it takes for something to ground, or metaphysically explain, something else. In the second half, I argue that in light of my argument against sums, (...)
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  • A grounding solution to the grounding problem.Noël B. Saenz - 2015 - Philosophical Studies 172 (8):2193-2214.
    The statue and the lump of clay that constitutes it fail to share all of their kind and modal properties. Therefore, by Leibniz’s Law, the statue is not the lump. Question: What grounds the kind and modal differences between the statue and the lump? In virtue of what is it that the lump of clay, but not the statue, can survive being smashed? This is the grounding problem. Now a number of solutions to the grounding problem require that we substantially (...)
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  • Grounding and ontological dependence.Henrik Rydéhn - 2021 - Synthese 198 (Suppl 6):1231-1256.
    Recent metaphysics has seen a surge of interest in grounding—a relation of non-causal determination underlying a distinctive kind of explanation common in philosophy. In this article, I investigate the connection between grounding and another phenomenon of great interest to metaphysics: ontological dependence. There are interesting parallels between the two phenomena: for example, both are commonly invoked through the use of “dependence” terminology, and there is a great deal of overlap in the motivations typically appealed to when introducing them. I approach (...)
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  • Opaque Grounding and Grounding Reductionism.Henrik Rydéhn - forthcoming - Erkenntnis:1-27.
    This article aims to contribute to the largely neglected issue of whether metaphysical grounding – the relation of one fact’s obtaining in virtue of the obtaining of some other (or others) – can be given a reductive account. I introduce the notion of metaphysically opaque grounding, a form of grounding which constitutes a less metaphysically intimate connection than in standard cases. I then argue that certain important and interesting views in metaphysics are committed to there being cases of opaque grounding (...)
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  • Qualitative Grounds.Jeffrey Sanford Russell - 2016 - Philosophical Perspectives 30 (1):309-348.
    Suppose that all non-qualitative facts are grounded in qualitative facts. I argue that this view naturally comes with a picture in which trans-world identity is indeterminate. But this in turn leads to either pervasive indeterminacy in the non-qualitative, or else contingency in what facts about modality and possible worlds are determinate.
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  • Grounding identity in existence.Ezra Rubenstein - 2024 - Philosophy and Phenomenological Research 108 (1):21-41.
    What grounds the facts about what is identical to/distinct from what? A natural answer is: the facts about what exists. Despite its prima facie appeal, this view has received surprisingly little attention in the literature. Moreover, those who have discussed it have been inclined to reject it because of the following important challenge: why should the existence of some individuals ground their identity in some cases and their distinctness in others? (Burgess 2012, Shumener 2020b). This paper offers a sustained defense (...)
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  • Buildings and grounds: notes on Karen Bennett’s Making Things Up.Gideon Rosen - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (7):711-721.
    ABSTRACT Bennett argues that the various building relations are all directed, necessitating and generative. This note provides interpretations of these conditions different from Bennett’s. According to Bennett, the full builders for an entity must necessitate its existence alone or in conjunction with other items that are not builders. I suggest that the full builders must necessitate the built item outright. According to Bennett, building is generative only in the sense that when the xx build y we are thereby “licensed” to (...)
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  • Bolzano and Kim on grounding and unification.Stefan Roski - 2019 - Synthese 196 (7):2971-2999.
    It is sometimes mentioned that Bernard Bolzano’s work on grounding anticipates many insights of the current debate on metaphysical grounding. The present paper discusses a certain part of Bolzano’s theory of grounding that has thus far not been discussed in the literature. This part does not so much anticipate what are nowadays common assumptions about grounding, but rather goes beyond them. Central to the discussion will be a thesis of Bolzano’s by which he tries to establish a connection between grounding (...)
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  • Modality is Not Explainable by Essence.Carlos Romero - 2019 - Philosophical Quarterly 69 (274):121-141.
    Some metaphysicians believe that metaphysical modality is explainable by the essences of objects. In §II, I spell out the definitional view of essence, and in §III, a working notion of metaphysical explanation. Then, in §IV, I consider and reject five natural ways to explain necessity by essence: in terms of the principle that essential properties can't change, in terms of the supposed obviousness of the necessity of essential truth, in terms of the logical necessity of definitions, in terms of Fine's (...)
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  • Depending on the Thick.Debbie Roberts - 2017 - Aristotelian Society Supplementary Volume 91 (1):197-220.
    The claim that the normative depends on the non-normative is just as entrenched in metanormative theory as the claim that the normative supervenes on the non-normative. It is widely held to be a genuine truism, a conceptual truth that operates as a constraint on competence with normative concepts. Call it the dependence constraint. I argue that this status is unwarranted. While it is true that the normative is dependent, it is not a genuine truism, or a conceptual truth, that it (...)
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  • On What (In General) Grounds What.Kevin Richardson - 2020 - Metaphysics 2 (1):73–87.
    A generic grounding claim is a grounding claim that isn’t about any particular entity or fact. For example, consider the claim: an act is right in virtue of maximizing happiness. One natural idea is that generic grounding claims state mere regularities of ground. So if an act is right in virtue of maximizing happiness, then every possible right act is right in virtue of maximizing happiness. The generic claim generalizes over particular grounding relations. In this essay, I argue that this (...)
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  • Grounding Pluralism: Why and How.Kevin Richardson - 2020 - Erkenntnis 85 (6):1399-1415.
    Grounding pluralism is the view that there are multiple kinds of grounding. In this essay, I motivate and defend an explanation-theoretic view of grounding pluralism. Specifically, I argue that there are two kinds of grounding: why-grounding—which tells us why things are the case—and how-grounding—which tells us how things are the case.
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  • Grounding is necessary and contingent.Kevin Richardson - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (4):453-480.
    It is common to think that grounding is necessary in the sense that: if P grounds Q, then necessarily: if P, then Q. Though most accept this principle, some give counterexamples to it. Instead of straightforwardly arguing for, or against, necessity, I explain the sense in which grounding is necessary and contingent. I argue that there are two kinds of grounding: what-grounding and why-grounding, where the former kind is necessary while the latter is contingent.
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  • Grounds and ‘Grounds’.Bradley Rettler - 2017 - Canadian Journal of Philosophy 47 (5):631-655.
    In this paper, I offer a new theory of grounding. The theory has it that grounding is a job description that is realized by different properties in different contexts. Those properties play the grounding role contingently, and grounding is the property that plays the grounding role essentially. On this theory, grounding is monistic, but ‘grounding’ refers to different relations in different contexts. First, I argue against Kit Fine’s monist univocalism. Next, I argue against Jessica Wilson’s pluralist multivocalism. Finally, I introduce (...)
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  • Ground.Michael J. Raven - 2015 - Philosophy Compass 10 (5):322-333.
    This essay focuses on a recently prominent notion of ground which is distinctive for how it links metaphysics to explanation. Ground is supposed to serve both as the common factor in diverse in virtue of questions as well as the structuring relation in the project of explaining how some phenomena are “built” from more fundamental phenomena. My aim is to provide an opinionated synopsis of this notion of ground without engaging with others. Ground, so understood, generally resists illumination by appeal (...)
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  • Fundamentality physicalism.Gabriel Oak Rabin - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy (1):77-116.
    ABSTRACT This essay has three goals. The first is to introduce the notion of fundamentality and to argue that physicalism can usefully be conceived of as a thesis about fundamentality. The second is to argue for the advantages of fundamentality physicalism over modal formulations and that fundamentality physicalism is what many who endorse modal formulations of physicalism had in mind all along. Third, I describe what I take to be the main obstacle for a fundamentality-oriented formulation of physicalism: ‘the problem (...)
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  • A short argument from modal rationalism to fundamental scrutability.Gabriel Oak Rabin - 2020 - Thought: A Journal of Philosophy 9 (2):137-139.
    Thought: A Journal of Philosophy, EarlyView.
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  • The grounding problem for eternalism.Thorben Petersen - 2016 - Philosophical Studies 173 (7):1819-1852.
    In this paper, I develop an argument against eternalism, which is similar to the widely discussed grounding problem for presentism. It has recently been argued by many that presentism should be rejected on grounds that its sparse ontology is not suited to underwrite the healthy dose of realism we all share about the past. My aim basically is to add a new twist to the debate, by showing that actually eternalists are no better off than their rivals. In particular, I (...)
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  • Foundational Grounding and Creaturely Freedom.Kenneth L. Pearce - 2021 - Mind 131 (524):1108-1130.
    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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  • A Brighter Shade of Categoricalism.Michele Paolini Paoletti - 2022 - Axiomathes 32 (6):1213-1242.
    Categoricalism is a doctrine about properties according to which the dispositional aspects of properties are not essential to them. In opposition to categoricalism, dispositionalism holds that the dispositional aspects of properties are essential to them. In this article, I shall construct a new version of categoricalism that should be favoured over the other existing versions: Semi-Necessitarian Categoricalism. In Section 2 I shall elaborate on the distinction between categoricalism and dispositionalism and single out different ‘shades’ of both doctrines. I shall also (...)
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  • Grounding, physicalism and necessity.Donnchadh O'Conaill - 2018 - Inquiry: An Interdisciplinary Journal of Philosophy 61 (7):713-730.
    Recent work on metaphysical grounding has suggested that physicalism can be characterised in terms of the mental facts being grounded in physical facts. It is often assumed that the full grounds of a fact metaphysically necessitate that fact. Therefore, it seems that if the physical grounds the mental, then the physical facts metaphysically necessitate the mental facts. Stefan Leuenberger argues that such a version of physicalism would be vulnerable to counterexamples. I shall outline a characterisation of grounding which appeals to (...)
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  • Constitutive essence and partial grounding.Eileen S. Nutting, Ben Caplan & Chris Tillman - 2018 - Inquiry: An Interdisciplinary Journal of Philosophy 61 (2):137-161.
    Kit Fine and Gideon Rosen propose to define constitutive essence in terms of ground-theoretic notions and some form of consequential essence. But we think that the Fine–Rosen proposal is a mistake. On the Fine–Rosen proposal, constitutive essence ends up including properties that, on the central notion of essence, are necessary but not essential. This is because consequential essence is closed under logical consequence, and the ability of logical consequence to add properties to an object’s consequential essence outstrips the ability of (...)
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  • Grounding nonexistence.Daniel Muñoz - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (2):209-229.
    Contingent negative existentials give rise to a notorious paradox. I formulate a version in terms of metaphysical grounding: nonexistence can't be fundamental, but nothing can ground it. I then argue for a new kind of solution, expanding on work by Kit Fine. The key idea is that negative existentials are contingently zero-grounded – that is to say, they are grounded, but not by anything, and only in the right conditions. If this is correct, it follows that grounding cannot be an (...)
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  • Grounding the normative: a problem for structured non-naturalism.Justin Morton - 2020 - Philosophical Studies 177 (1):173-196.
    Many non-naturalists about the normative want to endorse the view that some normative facts hold in virtue of both non-normative facts and normative principles. In this paper, I argue that non-naturalism is inconsistent with this thesis, due to the nature of normative principles and their grounds. I then consider two ways in which the nonnaturalist position could be modified or expanded to solve this problem. No solution, it turns out, is without its problems. I end by considering how the non-naturalist (...)
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  • Fundamentality in metaphysics and the philosophy of physics. Part I: Metaphysics.Matteo Morganti - 2020 - Philosophy Compass 15 (7):e12690.
    This is the first part of a two-tier overview article on fundamentality in metaphysics and the philosophy of physics. It provides an introduction to the notion of fundamentality in metaphysics, as well as to several related concepts. The key issues in the contemporary debate on the topic are summarised, making systematic reference to the most relevant literature. In particular, various ways in which the fundamental entities and the fundamental structure of reality may be conceived are illustrated and discussed. A final (...)
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  • The disjunction thesis and necessary connection.Zamani Mohsen - 2023 - Analytic Philosophy 64 (3):318-328.
    In this paper I deal with the relation between the disjunction thesis—that the truthmaking relation is distributed over a disjunction—and the necessary connection thesis—that the existence of some entities requires the existence of other distinct entities. I will first show that because of this very relation, the arguments for and against the disjunction thesis that overlook its metaphysical considerations will fail. Finally, I will show that the commitment produced by truthmaker maximalism to totality states of affairs, or some relevantly similar (...)
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  • Essentialist Non-Reductivism.Taylor-Grey Edward Miller - 2022 - Philosophers' Imprint 22.
    According to many contemporary metaphysicians, we ought to theorize in terms of grounding because of its promise to explicate the idea of reality having a layered structure. However, a tension emerges when one combines the layered structure view with the view that higher-level facts are not reducible to lower-level facts. This tension emerges from two problems. The first problem arises from the fact that grounding explanations entail true universal generalizations. In order to satisfy this constraint, we will face serious pressure (...)
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  • Disjunction and the Logic of Grounding.Giovanni Merlo - 2020 - Erkenntnis 87 (2):567-587.
    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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  • Against Existential Grounding.Damian Melamedoff - 2018 - Thought: A Journal of Philosophy 7 (1):3-11.
    Existential grounding is the thesis that all existential generalizations are grounded in their particular instances. This paper argues that existential grounding is false. This is because it is inconsistent with two plausible claims about existence: the claim that singular existence facts are generalizations and the claim that no object can be involved in a fact that grounds that same object's existence. Not only are these claims intuitively plausible, but there are also strong arguments in favour of each of them.
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  • An intuitionistic defence of Berkeley’s master argument.Conor McGlynn - 2019 - Analysis 79 (2):236-242.
    Berkeley’s ‘master argument’ for idealism has been the subject of extensive criticism. Two of his strongest critics, A.N. Prior and J.L. Mackie, argue that due to various logical confusions on the part of Berkeley, the master argument fails to establish his idealist conclusion. Prior argues that Berkeley’s argument ‘proves too little’ in its conclusion, while Mackie contends that Berkeley confuses two different kinds of self-refutation in his argument. This paper proposes a defence of the master argument based on intuitionistic argument. (...)
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  • The principle of sufficient reason and necessitarianism.Kris McDaniel - 2019 - Analysis 79 (2):230-236.
    Peter van Inwagen presented a powerful argument against the Principle of Sufficient Reason, which I henceforth abbreviate as ‘PSR’. For decades, the consensus was that this argument successfully refuted PSR. However, now a growing consensus holds that van Inwagen’s argument is fatally flawed, at least when ‘sufficient reason’ is understood in terms of ground, for on this understanding, an ineliminable premiss of van Inwagen’s argument is demonstrably false and cannot be repaired. I will argue that this growing consensus is mistaken (...)
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  • Grounding and the Objection from Accidental Generalizations.Brannon McDaniel - 2017 - Thought: A Journal of Philosophy 6 (3):178-184.
    Monistic grounding says that there is one fundamental ground, while pluralistic grounding says that there are many such grounds. Grounding necessitarianism says that grounding entails, but is not reducible to, necessitation, while grounding contingentism says that there are at least some cases where grounding does not entail necessitation. Pluralistic grounding necessitarianism is a very popular position, but accidental generalizations, such as ‘all solid gold spheres are less than one mile in diameter’, pose well-known problems for this view: the many fundamental (...)
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  • Indeterminacy: Deep but not Rock Bottom.Cristian Mariani - 2020 - Analytic Philosophy 63 (1):62-71.
    Barnes (2014) has argued in this journal for the following conditional: If there is any metaphysical indeterminacy, this must be at the most fundamental level of reality. To argue for this claim, Barnes relies on two principles that I shall call bivalent completeness and determinate link. According to the former, a complete description is a bivalent assignment of truth values to every sentence. The determinate link, instead, establishes that the determination relation between levels of reality preserves determinacy from one level (...)
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  • The emergence of ground: some limitative results.Michele Lubrano - 2018 - Synthese 198 (Suppl 6):1303-1315.
    In this paper I’m going to deal with the divide between foundationalism and infinitism about grounding. I will examine a thesis about the emergence of ground that has recently been proposed by Matteo Morganti. I will show that a generalized version of this thesis suffers from some serious limits and it cannot be accepted without a significant departure from the standard notion of grounding.
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  • A Simple Proof of Grounding Internality.Adam Lovett - 2019 - Thought: A Journal of Philosophy 8 (3):154-166.
    Some people think that grounding is a type of identity. And some people think that grounding connections hold necessarily. I show that, under plausible assumptions, if grounding is a type of identity, then grounding connections hold necessarily.
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  • Grounding the Unreal.Louis deRosset - 2017 - Philosophy and Phenomenological Research 95 (3):535-563.
    The scientific successes of the last 400 years strongly suggest a picture on which our scientific theories exhibit a layered structure of dependence and determination. Economics is dependent on and determined by psychology; psychology in its turn is, plausibly, dependent on and determined by biology; and so it goes. It is tempting to explain this layered structure of dependence and determination among our theories by appeal to a corresponding layered structure of dependence and determination among the entities putatively treated by (...)
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  • Two notions of fusion and the landscape of extensionality.Roberto Loss - 2021 - Philosophical Studies 178 (10):3443-3463.
    There are two main ways in which the notion of mereological fusion is usually defined in the current literature in mereology which have been labelled ‘Leśniewski fusion’ and ‘Goodman fusion’. It is well-known that, with Minimal Mereology as the background theory, every Leśniewski fusion also qualifies as a Goodman fusion. However, the converse does not hold unless stronger mereological principles are assumed. In this paper I will discuss how the gap between the two notions can be filled, focussing in particular (...)
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  • Grounds, Roots and Abysses.Roberto Loss - 2016 - Thought: A Journal of Philosophy 5 (1):41-52.
    The aim of this study is to address the “Grounding Grounding Problem,” that is, the question as to what, if anything, grounds facts about grounding. I aim to show that, if a seemingly plausible principle of modal recombination between fundamental facts and the principle customarily called “Entailment” are assumed, it is possible to prove not only that grounding facts featuring fundamental, contingent grounds are derivative but also that either they are partially grounded in the grounds they feature or they are (...)
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  • Metaphysical Explanations for Modal Normativists.Theodore Locke - 2020 - Metaphysics 3 (1):33-54.
    I expand modal normativism, a theory of metaphysical modality, to give a normativist account of metaphysical explanation. According to modal normativism, basic modal claims do not have a descriptive function, but instead have the normative function of enabling language users to express semantic rules that govern the use of ordinary non-modal vocabulary. However, a worry for modal normativism is that it doesn’t keep up with all of the important and interesting metaphysics we can do by giving and evaluating metaphysical explanations. (...)
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  • Prospects for a Theory of Decycling.Jon Erling Litland - 2020 - Notre Dame Journal of Formal Logic 61 (3):467-499.
    Seemingly natural principles about the logic of ground generate cycles of ground; how can this be if ground is asymmetric? The goal of the theory of decycling is to find systematic and principled ways of getting rid of such cycles of ground. In this paper—drawing on graph-theoretic and topological ideas—I develop a general framework in which various theories of decycling can be compared. This allows us to improve on proposals made earlier by Fine and Litland. However, it turns out that (...)
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