Defense of incompletable grounding and discussion of implications for ontological economy.

Argument that full grounds modally entail what they ground.

The paper argues that grounding is neither irreflexive, nor asymmetric, nor transitive. In arguing for that conclusion the paper also arguesthat truthmaking is neither irreflexive, nor asymmetric, nor transitive.

Proponents of grounding often describe the notion as "metaphysical causation" involving determination and production relations similar to causation. This paper argues that the similarities between grounding and causation are merely superficial. I show that there are several sorts of causation that have no analogue in grounding; that the type of "bringing into existence" that both involve is extremely different; and that the synchronicity of ground and the diachronicity of causation make them too different to be explanatorily intertwined.

Attempts to elucidate grounding are often made by connecting grounding to metaphysical explanation, but the notion of metaphysical explanation is itself opaque, and has received little attention in the literature. We can appeal to theories of explanation in the philosophy of science to give us a characterization of metaphysical explanation, but this reveals a tension between three theses: that grounding relations are objective and mind-independent; that there are pragmatic elements to metaphysical explanation; and that grounding and metaphysical explanation share a (...) close connection. Holding fixed the mind-independence of grounding, I show that neither horn of the resultant dilemma can be blunted. Consequently, we should reject the assumption that grounding relations are mind-independent. (shrink)

The Problem of Iterated Ground is to explain what grounds truths about ground: if Γ grounds φ, what grounds that Γ grounds φ? This paper develops a novel solution to this problem. The basic idea is to connect ground to explanatory arguments. By developing a rigorous account of explanatory arguments we can equip operators for factive and non-factive ground with natural introduction and elimination rules. A satisfactory account of iterated ground falls directly out of the resulting (...) logic: non- factive grounding claims, if true, are zero-grounded in the sense of Fine. (shrink)

In this paper we provide a psychological explanation for ‘grounding observations’—observations that are thought to provide evidence that there exists a relation of ground. Our explanation does not appeal to the presence of any such relation. Instead, it appeals to certain evolved cognitive mechanisms, along with the traditional modal relations of supervenience, necessitation and entailment. We then consider what, if any, metaphysical conclusions we can draw from the obtaining of such an explanation, and, in particular, if it tells us anything (...) about whether we ought to posit a relation of ground. (shrink)

Does the notion of ground, as it has recently been employed by metaphysicians, point to a single unified phenomenon? Jonathan Schaffer holds that the phenomenon of grounding exhibits the unity characteristic of a single genus. In defense of this hypothesis, Schaffer proposes to take seriously the analogy between causation and grounding. More specifically, Schaffer argues that both grounding and causation are best approached through a single formalism, viz., that utilized by structural equation models of causation. In this paper, I present (...) several concerns which suggest that the structural equation model does not transfer as smoothly from the case of causation to the case of grounding as Schaffer would have us believe. If it can in fact be shown that significant differences surface in how the formalism in question applies to the two types of phenomena in question, Schaffer’s attempt at establishing an analogy between grounding and causation has thereby been weakened and, as a result, the application of the Unity Hypothesis to the case of grounding once again stands in need of justification. (shrink)

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 (...) have recently challenged the orthodoxy. In this paper, I examine ground’s ability to vindicate the layered conception upon various relaxations of the orthodox assumptions. I argue that highly unorthodox views of ground can still vindicate the layered conception and that, in some ways, the heretical views enable ground to better serve as a guide to reality’s layering than do orthodox views of ground. (shrink)

Discussion of the relevance of grounding to substantiveness, theory-choice, and “location problems” in metaphysics.

Grounding contingentism is the doctrine according to which grounds are not guaranteed to necessitate what they ground. In this paper I will argue that the most plausible version of contingentism is incompatible with the idea that the grounding relation is transitive, unless either ‘priority monism’ or ‘contrastivism’ are assumed.

This paper is about the so-called meta-grounding question, i.e. the question of what grounds grounding facts of the sort ‘φ is grounded in Γ ’. An answer to this question is pressing since some plausible assumptions about grounding and fundamentality entail that grounding facts must be grounded. There are three different accounts on the market which each answer the meta-grounding question differently: Bennett’s and deRosset’s “Straight Forward Account” (SFA), Litland’s “Zero-Grounding Account” (ZGA), and “Grounding Essentialism” (GE). I argue that (...) if grounding is to be regarded as metaphysical explanation (i.e. if unionism is true), (GE) is to be preferred over (ZGA) and (SFA) as only (GE) is compatible with a crucial consequence of the thought that grounding is metaphysical explanation. In this manner the paper contributes not only to discussions about the ground of ground but also to the ongoing debate concerning the relationship between ground, essence, and explanation. (shrink)

Characterization of a form of explanation involving grounding on the model of mechanistic causal explanation.

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 third section will be concerned with the relation between arbitrary grounding and non-arbitrary grounding. The fourth section will compare arbitrary grounding to two extant proposals in the literature. (shrink)

A compelling idea holds that reality has a layered structure. We often disagree about what inhabits the bottom layer, but we agree that higher up we find chemical, biological, geological, psychological, sociological, economic, /etc./, entities: molecules, human beings, diamonds, mental states, cities, interest rates, and so on. How is this intuitive talk of a layered structure of entities to be understood? Traditionally, philosophers have proposed to understand layered structure in terms of either reduction or supervenience. But these traditional views face (...) well-known problems. A plausible alternative is that layered structure is to be explicated by appeal to explanations of a certain sort, termed / grounding explanations/. Grounding explanations tell us what obtains in virtue of what. Unfortunately, the use of grounding explanations to articulate the layered conception faces a problem, which I call /the collapse/. The collapse turns on the question of how to ground the facts stated by the explanations themselves. In this paper I make a suggestion about how to ground explanations that avoids the collapse. Briefly, the suggestion is that the fact stated by a grounding explanation is grounded in its /explanans/. (shrink)

What distinguishes causation from grounding? One suggestion is that causation, but not grounding, occurs over time. Recently, however, counterexamples to this simple temporal criterion have been offered. In this paper, we situate the temporal criterion within a broader framework that focuses on two aspects: locational overlapping in space and time and the presence of intermediaries in space and time. We consider, and reject, the idea that the difference between grounding and causation is that grounding can occur without intermediaries. We go (...) on to use the fact that grounding and causation both involve intermediaries to develop a better temporal criterion for distinguishing causation from grounding. The criterion is this: when a cause and effect are spatially disjoint, there is always a chain of causal intermediaries between the cause and the effect that are extended in time. By contrast, when the grounds and the grounded are spatially disjoint, there is always a chain of grounding intermediaries, but the chain need not be extended in time, it can be purely spatial. The difference between grounding and causation, then, is that causation requires time for chaining in a way that grounding does not. (shrink)

Grounding necessitarianism (GN) is the view that full grounds necessitate what they ground. Although GN has been rather popular among philosophers, it faces important counterexamples: For instance, A=[Socrates died] fully grounds C=[Xanthippe became a widow]. However, A fails to necessitate C: A could have obtained together with B=[Socrates and Xanthippe were never married], without C obtaining. In many cases, the debate essentially reduces to whether A indeed fully grounds C – as the contingentist claims – or if (...) instead C is fully grounded in A+, namely A plus some supplementary fact S (e.g. [Xanthippe was married to Socrates]) – as the necessitarian claims. Both sides typically agree that A+ necessitates C, while A does not; they disagree on whether A or A+ fully grounds C. This paper offers a novel defence of the claim that, in these typical cases, unlike A+, A fails to fully ground C – thereby bringing further support to GN. First and foremost, unlike A+, A fails to fully ground C because it fails to contain just what is relevant to do so, in two distinct senses – explanatory and generative relevance. Second, going for A, rather than A+, as a full ground undermines not just grounding necessitarianism, but modally weaker views which even contingentists may want to preserve. (shrink)

In this essay, I propose a functionalist theory of grounding (functionalist-grounding). Specifically, I argue that grounding is a second-order phenomenon that is realized by relations that play the noncausal explanatoriness role. I also show that functionalist-grounding can deal with a powerful challenge. Appeals to explanatory unificationism have been made to argue that the success of noncausal explanations does not depend on the existence of grounding relations. Against this, I argue that a systematization involving functionalist-grounding is superior to its anti-relational counterpart.

It is widely thought that grounding is a hyperintensional phenomenon. Unfortunately, the term ‘hyperintensionality’ has been doing double-duty, picking out two distinct phenomena. This paper clears up this conceptual confusion. We call the two resulting notions hyperintensionalityGRND and hyperintensionalityTRAD. While it is clear that grounding is hyperintensionalGRND, the interesting question is whether it is hyperintensionalTRAD. We argue that given well-accepted constraints on the logical form of grounding, to wit, that grounding is irreflexive and asymmetric, grounding is hyperintensionalTRAD only if one (...) endorses a sentential operator view of grounding. We argue that proponents of the sentential operator view will need to distinguish two importantly different kinds of hyperintensionalityTRAD—weak and strong—and we offer them a way to do so. (shrink)

Grounding is all the rage in analytical metaphysics. But here I give three reasons for not appealing to a primitive relation of grounding in formulating physicalism. (1) It probably can't do the key job it would need to do. (2) We don't need it, since we already have realization. (3) It is probably not even consistent with physicalism.

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 (...) question of a normative ground, 2) examines one or two of the most difficult problems for each, proposing along the way a new objection to one, and 3) argues that a particular hybrid view about normative grounds –‘hybrid voluntarism’ – avoids each of the main problems faced by the three leading ‘pure’ views. (shrink)

Can there be grounding without necessitation? Can a fact obtain wholly in virtue of metaphysically more fundamental facts, even though there are possible worlds at which the latter facts obtain but not the former? It is an orthodoxy in recent literature about the nature of grounding, and in first-order philosophical disputes about what grounds what, that the answer is no. I will argue that the correct answer is yes. I present two novel arguments against grounding necessitarianism, and show that (...) grounding contingentism is fully compatible with the various explanatory roles that grounding is widely thought to play. (shrink)

I systematically defend a novel account of the grounds for identity and distinctness facts: they are all uniquely zero‐grounded. First, this Null Account is shown to avoid a range of problems facing other accounts: a relation satisfying the Null Account would be an excellent candidate for being the identity relation. Second, a plenitudinist view of relations suggests that there is such a relation. To flesh out this plenitudinist view I sketch a novel framework for expressing real definitions, use this (...) framework to give a definition of identity, and show how the central features of the identity relation can be deduced from this definition. (shrink)

According to the Ontological Innocence Thesis (OIT), grounded entities are ontologically innocent relative to their full grounds. I argue that OIT entails a contradiction, and therefore must be discarded. My argument turns on the notion of “groundmates,” two or more numerically distinct entities that share at least one of their full grounds. I argue that, if OIT is true, then it is both the case that there are groundmates and that there are no groundmates. Therefore, so I conclude, (...) OIT is false. Moreover, once we have seen why OIT is false, only three heterodox views about reality's structure remain. So this paper’s second conclusion is that, even after we have discarded OIT, we are in for an additional surprise. (shrink)

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 (...) those theories. In this paper, I argue that we can resist this temptation: we can explain the sense in which, e.g., the biological truths are dependent on and determined by chemical truths without appealing to properly biological or chemical entities. This opens the door to a view on which, though there are more truths than just the purely physical truths, there are no entities, states, or properties other than the purely physical entities, states, and properties. I argue that some familiar strategies to explicate the idea of a layered structure of theories by appeal to reduction, ground, and truthmaking encounter difficulties. I then show how these difficulties point the way to a more satisfactory treatment which appeals to something very close to the notion of ground. Finally, I show how this treatment provides a theoretical setting in which we might fruitfully frame debates about which entities there really are. (shrink)

This paper concerns the grounds of nonground: what it is in virtue of that facts of the form [F1 does not ground F2] hold. While the literature on iterated ground is expansive, there is comparatively little written on the grounds of nonground. I argue that nonground is grounded in distinctness from ground. If F1 does not ground F2, then [F1 does not ground F2] is grounded in the fact that F1 is distinct from that which does ground F2. (...) While this proposal strikes me as natural, it faces puzzles involving conjunction, contingency, and cardinality. The bulk of this paper explores how the view might be precisified, and how these puzzles might be resolved. (shrink)

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 (...) argue that grounding interventions must be understood in worldly terms, as adding something to or deleting something from the roster of entities, or making some fact obtain or fail to obtain. I consider three bases for counterfactual assessment: imagination, structural equation models, and background theory. I conclude that grounding interventionism requires firmer epistemological foundations, without which the interventionist's epistemology of grounding is incomplete and ineffectually rationalist. (shrink)

Many authors have proposed that grounding is closely related to metaphysical laws. However, we argue that no existing theory of metaphysical laws is sufficiently general. In this paper we develop a general theory of grounding laws, proposing that they are generative relations between pluralities of propositions and propositions. We develop the account in an essentialist language; this allows us to state precisely the sense in which grounding might be reduced to laws. We then put the theory to use in showing (...) how moral laws can play a role in grounding particular moral facts, in defending monism about ground, and in showing in what sense there is no gap between the grounds and the grounded. Finally, we make a novel proposal about what grounds facts about ground. (shrink)

This article aims to provide an explication of the Christian doctrine of eternal generation. A model of the doctrine is formulated within the ground-theoretic framework of Jonathan Schaffer and E. Jonathan Lowe, which enables it to be explicated clearly and consistently, and two often raised objections against the doctrine can be successfully answered.

Grounding-theoretic reformulation of Fodor's theory of content that addresses recalcitrant Quinean concerns.

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 (...) internal relation, and that no complete account of reality can be purely fundamental. (shrink)

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, (...) which might help to dispel doubts on the legitimacy of the notion of essence itself. (shrink)

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 (...) on this sort of deflationism about necessity and essence. I also note that in at least some cases, the considerations supporting modal deflationism directly support deflationism about whatever grounding relations may obtain in these cases. (shrink)

What is the explanatory role of ‘status-truths’ such as essence-truths, necessity-truths and law-truths? A plausible principle, suggested by various authors, is Ground by Status, according to which status truths ground their prejacents. For instance, if it is essential to a that p, then this grounds the fact that p. But Ground by Status faces a forceful objection: it is inconsistent with widely accepted principles regarding the logic of grounding (Glazier in Philos Stud 174(11):2871–2889, 2017a, Synthese 174(198):1409–1424, 2017b; Kappes in (...) Synthese 199(1–2):2575–2595, 2020, Philos Stud 178(4):1267–1284, 2021). I defend Ground by Status against this objection. (shrink)

General discussion of grounding, including its formal features, relations to other notions, and applications.

This paper concerns non-causal normative explanations such as ‘This act is wrong because/in virtue of__’. The familiar intuition that normative facts aren't brute or ungrounded but anchored in non- normative facts seems to be in tension with the equally familiar idea that no normative fact can be fully explained in purely non- normative terms. I ask whether the tension could be resolved by treating the explanatory relation in normative explanations as the sort of ‘grounding’ relation that receives extensive discussion in (...) recent metaphysics. I argue that this would help only under controversial assumptions about the nature of normative facts, and perhaps not even then. I won't try to resolve the tension, but draw a distinction between two different sorts of normative explanations which helps to identify constraints on a resolution. One distinctive constraint on normative explanations in particular might be that they should be able to play a role in normative justification. (shrink)

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 revise our view of reality. In this paper, I provide a solution to this problem that does not require such a revision. I then show how my solution to the grounding problem can solve a related problem and answer a related question. The upshot is that the solution I offer is not only non-revisionary, but also fruitful. (shrink)

It can seem incoherent to fully characterize fundamentality in terms of grounding, given that the fundamental is precisely that which cannot be fully characterized independently. I argue that there is no such incoherence.

Recent metaphysics has turned its focus to two notions that are—as well as having a common Aristotelian pedigree—widely thought to be intimately related: grounding and essence. Yet how, exactly, the two are related remains opaque. We develop a unified and uniform account of grounding and essence, one which understands them both in terms of a generalized notion of identity examined in recent work by Fabrice Correia, Cian Dorr, Agustín Rayo, and others. We argue that the account comports with antecedently plausible (...) principles governing grounding, essence, and identity taken individually, and illuminates how the three interact. We also argue that the account compares favorably to an alternative unification of grounding and essence recently proposed by Kit Fine. (shrink)

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.

This paper examines an argument by Schaffer (2017) 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 principles. He thus puts forward a version of grounding-based physicalism, which is supposed to provide this kind of substantive bridge principle. My main contention is as follows: even if Schaffer’s argument indeed proves the existence of a gap in every connection between fundamental and derivative entities, and such gaps can be bridged by means of grounding principles, a different gap remains open in the psycho-physical connection. (shrink)

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.

Theorists of grounding believe that this notion has an intimate connection with metaphysical explanation. However, they struggle to harmonize the objective mind-independent features of grounding and the context-sensitive aspects of metaphysical explanation. As a reconciliatory approach, I offer a framework of metaphysical explanation that draws from perspectival realist views in the philosophy of science. According to the proposed view, our understanding of grounding claims is inescapably situated in agent-dependent perspectives that aim to aptly latch onto a grounding structure out there. (...) To defend its merits, I discuss how this grounding perspectivalism offers an insightful analysis of disagreements concerning the priority and asymmetry of what grounds what. Exploring some of the deeper implications of the proposed framework, I conclude by stirring controversy: contrary to a popular view, grounding perspectivalism implies that metaphysical explanation should not be regarded as a guide to grounding. -/- . (shrink)

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.

I argue that complete metaphysical grounds need not amount to metaphysically sufficient conditions for what they ground. I presented this at the Pacific APA in 2011. A version was R&Red somewhere but I never got around to Ring it, so it remains unpublished. It is cited every once in a while, so I'm uploading it here.

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 as well as non-necessitarian cases of grounding by acknowledging the existence of two types of metaphysical laws. I will argue that we should assume that metaphysical laws come in the necessitarian as well as in the non-necessitarian varietyclosely paralleling the distinction between strict and non-strict laws in the philosophy of science. The second main improvement of the present account is that this account is able to provide an explanation of why the laws of metaphysics have a direction built into them. I will argue that we should characterize metaphysical laws with the help of Theodore Sider’s (2011) notion of structure, which is a descendent of David Lewis’s (1983) notion of naturalness. According to the account of metaphysical laws developed in this paper, metaphysical laws express in their antecedents either perfectly structural truths or more structural truths than in their consequents. Since on Sider’s account structural features of reality are fundamental features of reality, the account is able to explain as to why the laws of metaphysics take us from the fundamental to the derivative. (shrink)

This article presents a novel argument for the existence of God based on the metaphysical concept of grounding. Using the methodology of Inference to the Best Explanation, as conceptualised by Peter Lipton, it evaluates six foundationalist theories: Trope-Theoretic Theism, Monistic Substantivalism, Pure Stuff Theory, Mereological Bundle Theory, Extended Simples Theory, and Priority-Based Structural Realism-for their ability to explain the existence of grounding relations in reality. Through rigorous internal and external assessments focusing on coherence, simplicity, unification, and evidential virtues, the paper (...) argues that Trope-Theoretic Theism, which conceives of God as a maximal power trope, provides the most satisfactory explanation for grounding relations. This conclusion offers a new abductive argument for Theism and demonstrates the potential for productive dialogue between metaphysics and religion. (shrink)

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.

Sometimes a fact can play a role in a grounding explanation, but the particular content of that fact make no difference to the explanation—any fact would do in its place. I call these facts vacuous grounds. I show that applying the distinction between-vacuous grounds allows us to give a principled solution to Kit Fine and Stephen Kramer’s paradox of ground. This paradox shows that on minimal assumptions about grounding and minimal assumptions about logic, we can show that grounding (...) is reflexive, contra the intuitive character of grounds. I argue that we should never have accepted that grounding is irreflexive in the first place; the intuitions that support the irreflexive intuition plausibly only require that grounding be non-vacuously irreflexive. Fine and Kramer’s paradox relies, essentially, on a case of vacuous grounding and is thus no problem for this account. (shrink)

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 grounds of such generalizations do not necessitate them. Though there is a straightforward response to this objection, I argue that it fails. Thus the objection from accidental generalizations stands, and proponents of pluralistic grounding necessitarianism face the following dilemma: either give up pluralistic grounding, or give up necessitarianism. (shrink)