Fundamentality

No. More carefully: apparently not. [This piece was published in the Routledge Handbook of Metaphysical Ground (2020), edited by Michael J. Raven with the title "Anti-Skeptical Rejoinders", pp. 180-193].

It is often supposed that metaphysical explanation is asymmetric: that for all x and y, if x metaphysically explains y, then y does not metaphysically explain x. Even amongst those who hold that metaphysical explanation is not asymmetric, but nonsymmetric, it is assumed that a relatively small number of particular explanations are symmetric: by and large, if x metaphysically explains y, then y does not metaphysically explain x. Both parties agree that as a matter of fact we at least typically (...) judge that if x metaphysically explains y, then y does not metaphysically explain x. There has, however, been no empirical investigation of our judgements on these matters, beyond the armchair reflections of philosophers. This paper investigates our judgements and finds that in every case participants were presented with, a majority judged that x metaphysically explained y, and that y metaphysically explained x. This gives us reason to conclude not only that metaphysical explanation is not asymmetric, but also that it has many more symmetric instances than philosophers have supposed. Indeed, the evidence we collected is consistent with metaphysical explanations being symmetric. We evaluate the upshots of this research for theorising about metaphysical explanation. (shrink)

It is commonly assumed that metaphysical grounding is an especially intimate and powerful connection between facts that enables a form of explanation which is particularly strict and illuminating. An arguably related idea is that grounding is necessarily connected with the core features of things – their essences or natures. This article is concerned with metaphysically opaque grounding – a form of grounding which falsifies both these ideas. I argue that there are important views in metaphysics that are committed to there (...) being cases of metaphysically opaque grounding, explore some important consequences for the theory of grounding, and defend the notion of opaque grounding from objections. The upshot is that metaphysicians should be free to avail themselves of the concept of metaphysically opaque grounding in their theorizing. (shrink)

A fundamental fact is “pure” just in case it has no grounded entities—ex. Tokyo, President Biden, the River Nile, {Socrates}, etc.—among its constituents. Purity is the thesis that every fundamental fact is pure. I argue that Purity is false. My argument begins with a familiar conditional: if Purity is true, then there are no fundamental “grounding facts” or facts about what grounds what. This conditional is accepted by virtually all of Purity’s defenders. However, I argue that it is also the (...) first step toward Purity’s undoing. For, if every grounding fact has a ground, then some grounded entities have “groundmates” or distinct grounded entities that share their full grounds. But, if there are groundmates, then Purity is false. So Purity leads to a contradiction. Therefore, it is false. I close by noting that my argument against Purity also gives us a powerful reason to think that some grounding facts are fundamental. (shrink)

Mereological harmony is the idea that the mereological structure of objects mirrors the mereological structure of locations. Grounding harmony is the idea that there is a similar mirroring between the grounding structure of objects and locations. Our goal in this paper is exploratory: we introduce and then explore two notions of grounding harmony: locative and structural. We outline potential locative and structural harmony principles for grounding, and show which of these principles may entail, or be entailed by, principles of mereological (...) harmony. We then present a case study in grounding harmony, by applying it to Schaffer’s (2010a) specific version of priority monism. We show that, given a strong form of grounding harmony, Schaffer-style monism is inconsistent, but that this inconsistency can be resolved by offering bespoke notions of grounding harmony. We use Schaffer’s priority monism to demonstrate a broader tension within certain packages of metaphysical views, including versions of priority pluralism. We close by briefly considering the case against structural grounding harmony. (shrink)

Some facts ground other facts. Some fact is fundamental iff there are no other facts which partially or fully ground that fact. According to metaphysical foundationalism, every non-fundamental fact is fully grounded by some fundamental fact. In this paper I examine and defend some neglected considerations which might be made in favor of metaphysical foundationalism. Building off of work by Ross Cameron, I suggest that foundationalist theories are more unified than, and so in one important respect simpler than, non-foundationalist theories, (...) insofar as foundationalist theories allow us to derive all non-fundamental facts from some fundamental fact. Non-foundationalist theories can enjoy a similar sort of theoretical unification only by taking on objectionable metaphysical laws. (shrink)

Many philosophers have recently been impressed by an argument to the effect that all grounding facts about “derivative entities”—e.g. the facts expressed by the true sentences ‘the fact that Beijing is a concrete entity is grounded in the fact that its parts are concrete’ and ‘the fact that there are cities is grounded in the fact that p’, where ‘p’ is a suitable sentence couched in the language of particle physics—must themselves be grounded. This argument relies on a principle, Purity, (...) which states that facts about derivative entities are non-fundamental. Purity is questionable. In this paper, I introduce a new argument—the argument from Settledness—for a similar conclusion but which does not rely on Purity. The conclusion of the new argument is that every “thick” grounding fact is grounded, where a grounding fact [F is grounded in G, H, …] is said to be thick when at least one of F, G, H, … is a fact—a condition that is automatically satisfied if grounding is factive. After introducing the argument, I compare it with the argument from Purity, and I assess its cogency relative to the relevant accounts of the connections between grounding and fundamentality that are available in the literature. (shrink)

Metaphysicians often distinguish between joints and basic ways. Joints are the unified and joint-carving properties that trace the structure of the world. They are theorized under the ideology of structural, perfectly natural, or sparse properties. Basic ways are the ultimate and independent properties that give rise to all others. They are theorized under the ideology of grounding, where the ungrounded properties are the basic ways. While these notions are often seen as rivals, I argue that we need both, because the (...) joints and the basic ways crosscut. For the sake being exhaustive and ecumenical, I distinguish between natural and normative sorts of joints and basic ways. I argue that, for either sort, if there is such a sort of joint and basic way, then there are joints that are not basic ways and there are basic ways that are not joints. (shrink)

Some views articulate reality's hierarchical structure using relations from the fundamental to representations of reality. Other views instead use relations from the fundamental to constituents of non-representational reality. This paper argues against the first kind of view.

This paper explores a novel notion of self-explanation which combines ideas from two sources: (1) the tripartite account of explanation, according to which a proposition can help explain another either in the capacity of a reason why the latter obtains or in the capacity of an explanatory link, and (2) the notion of an empty-base explanation (sometimes called 'null-explanation'), which generalizes the ideas of explanation by zero-grounding and explanation by status. After having introduced these ideas and the novel notion of (...) self-explanation, I argue that the latter has the potential to resist extant arguments against the possibility of self-explanation. In the remainder of the paper I discuss candidates for such self-explanatory propositions and suggest possible applications for Humeanism about laws of nature, the debate on the grounds of ground, the rationalist tradition, and philosophical theology. (shrink)

It has recently become popular to suggest that questions of ontology ought be settled by determining, first, which fundamental things exist, and second, which derivative things depend on, or are grounded by, those fundamental things. This methodology typically leads to a hierarchical view of ontology according to which there are chains of entities, each dependent on the next, all the way down to a fundamental base. In this paper we defend an alternative ontological picture according to which there is no (...) ontological hierarchy. Such a picture appears counterintuitive (at least to many), in part because in the absence of a hierarchical structure to our world, there would be no structure apt to back metaphysical explanations. There are two reasons to suppose this is so. First, there would be no structure apt to back metaphysical explanations because there would be a fatal mismatch between the formal features of metaphysical explanation, on the one hand, and the structure of the world, on the other hand. Second, in the absence of an ontological hierarchy there would be no structure apt to back metaphysical explanations because the only connections that would obtain between relevant facts are mere correlational connections. But mere correlations are not the right kinds of relations to back metaphysical explanations: explanation requires something more. This paper aims to show that neither of these is a good reason to prefer a hierarchical view of ontology. (shrink)

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 to make sure the entities involved in the grounded facts are appropriately connected to the entities involved in the grounding facts, otherwise the generalizations associated with those grounding claims will come out false. However, ensuring the appropriate connections seemingly leaves no way for the non-reductivist to fully squeeze out reference to higher-level entities as we descend the levels of ground. This threatens the result that some higher-level facts must be taken as fundamental, which the non-reductivist cannot accept. I’ll argue that we can resolve the tension by taking the connections at issue to be essentially true. We can call this view essentialist non-reductivism. One significant upshot of the argument is that we can see not only that essentialist non-reductivism successfully resolves the tension, but that in principle no better solution could be offered. (shrink)

Distinctions in fundamentality between different levels of description are central to the viability of contemporary decoherence-based Everettian quantum mechanics (EQM). This approach to quantum theory characteristically combines a determinate fundamental reality (one universal wave function) with an indeterminate emergent reality (multiple decoherent worlds). In this chapter I explore how the Everettian appeal to fundamentality and emergence can be understood within existing metaphysical frameworks, identify grounding and concept fundamentality as promising theoretical tools, and use them to characterize a system of explanatory (...) levels (with associated laws of nature) for EQM. This Everettian level structure encompasses and extends the ‘classical’ levels structure. The ‘classical’ levels of physics, chemistry, biology, etc. are recovered, but they are emergent in character and potentially variable across Everett worlds. EQM invokes an additional fundamental level, not present in the classical levels picture, and a novel potential role for self-location in interlevel metaphysics. When given a modal realist interpretation, EQM also makes trouble for supervenience-based approaches to levels. (shrink)

According to a number of approaches in theoretical physics, spacetime does not exist fundamentally. Rather, spacetime exists by depending on another, more fundamental, non-spatiotemporal structure. A prevalent opinion in the literature is that this dependence should not be analyzed in terms of composition. We should not say, that is, that spacetime depends on an ontology of non-spatiotemporal entities in virtue of having them as parts. But is that really right? On the contrary, we argue that a mereological approach to dependent (...) spacetime is not only viable, but promises to enhance our understanding of the physical situation. (shrink)

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 (...) potentially offer us a way to unite the two relations, promising the attendant benefits parsimony offers, as a result. (shrink)

Kristie Miller and James Norton present a new account of metaphysical explanation, not as a philosophical technicality but as a feature of everyday life. This is the notion that we all use in ordinary contexts when we give explanations of a certain sort: Miller and Norton build their account on investigation of these explanatory practices.

There has been an explosion of interest in the metaphysics of fundamentality in recent decades. The consensus view, called metaphysical foundationalism, maintains that there is something absolutely fundamental in reality upon which everything else depends. However, a number of thinkers have chal- lenged the arguments in favor of foundationalism and have proposed competing non-foundationalist ontologies. This paper provides a systematic and critical introduction to metaphysical foundationalism in the current literature and argues that its relation to ontological dependence and substance should (...) be qualified in important ways. (shrink)

It strikes many as obvious that negative facts—such as that Justin Trudeau is not the prime minister of Australia—are not fundamental: negative facts must ultimately be explained in terms of positive facts (for instance, that Justin Trudeau is the prime minister of Canada). I focus on a particular class of negative facts: contingent negative existentials (such as that there are no 10ft tall humans). If contingent negative existentials are not fundamental, then they must be explained. But the claim that contingent (...) negative existentials are explained is in tension with the widely held view that any universal generalization can be explained by its instances together with a totality fact (i.e. a fact to the effect that the instances exhaust the relevant domain). This is because a totality fact is itself a negative existential, and equivalent to a universal generalization. If the explanation for any contingent negative existential must appeal to another contingent negative existential, then—unless there are no fundamental facts—not all contingent negative existentials can be non-fundamental. I argue that we should give up the age-old mantra that only positive facts can be fundamental. I show that at least some contingent negative existentials are fundamental. I first make the case for including a totality fact in the explanans for a contingent negative existential and show that alternative accounts for explaining such facts are inadequate. I then undermine the standard arguments for subscribing to the view that there are no negative facts—including negative existentials—at the fundamental level. (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)

Debates over what is fundamental assume that what is most fundamental must be either a “top” level (roughly, the biggest or highest-level thing), or a “bottom” level (roughly, the smallest or lowest-level things). Here I sketch an alternative to top-ism and bottom-ism, the view that a middle level could be the most fundamental, and argue for its plausibility. I then suggest that the view satisfies the desiderata of asymmetry, irreflexivity, transitivity, and well-foundedness of fundamentality, that the view has explanatory power (...) on par with that of top-ism and bottom-ism, and that it satisfies the Principle of Sufficient Reason. (shrink)

This paper defends Flatland—the view that there exist neither determination nor dependence relations, and that everything is therefore fundamental—from the objection from explanatory inefficacy. According to that objection, Flatland is unattractive because it is unable to explain either the appearance as of there being determination relations, or the appearance as of there being dependence relations. We show how the Flatlander can meet the first challenge by offering four strategies—reducing, eliminating, untangling and omnizing—which, jointly, explain the appearance as of there being (...) determination relations where no such relations obtain. Since, plausibly, dependence relations just are asymmetric determination relations, we argue that once we come mistakenly to believe that there exist determination relations, the existence of other asymmetries (conceptual and temporal) explains why it appears that there are dependence relations. (shrink)

Priority Theory is an increasingly popular view in metaphysics. By seeing metaphysical questions as primarily concerned with what explains what, instead of merely what exists, it promises not only an interesting approach to traditional metaphysical issues but also the resolution of some outstanding disputes. In a recent paper, Louis deRosset argues that Priority Theory isn’t up to the task: Priority Theory is committed to there being explanations that violate a formal constraint on any adequate explanation. This paper critically examines deRosset’s (...) challenge to Priority Theory. We argue that deRosset’s challenge ultimately fails: his proposed constraint on explanation is neither well-motivated nor a general constraint. Nonetheless, lurking behind his criticism is a deep problem for prominent ways of developing Priority Theory, a problem which we develop. (shrink)

Grounding is claimed to offer a promising characterization of the fundamental as thatwhich is ungrounded. Detractors of this view argue that there can be fundamental and yet mutuallygrounded entities. Such a possibility undermines the denition of the fundamental as theungrounded. I aim to show, however, that the possibility of fundamental mutually grounded entitiesdoes not force us to renounce the prospects of characterizing fundamentality in terms of ground-ing. To accomplish this aim, I defend a grounding-based view that accommodates fundamentalmutually grounded entities (...) straightforwardly. My denition of fundamentality is similar to, butimportantly different from, one that Karen Bennett discusses. I conclude by resisting two objec-tions raised by Jessica Wilson against the Bennettian framework that also target theproposed view. (shrink)

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)

In this article, I seek to assess the extent to which Theism, the claim that there is a God, can provide a true fundamental explanation for the instantiation of the grounding relation that connects the various entities within the layered structure of reality. More precisely, I seek to utilise the explanatory framework of Richard Swinburne within a specific metaphysical context, a ground-theoretic context, which will enable me to develop a true fundamental explanation for the existence of grounding. And thus, given (...) the truth of this type of explanation, we will have a further reason to believe in the existence of God. (shrink)

In this article, I seek to assess the extent to which Theism, the claim that there is a God, can provide a true fundamental explanation for the existence of certain entities within the layered structure of reality. More precisely, I assume the cogency of Swinburne’s explanatory framework and seek to resituate it within a new philosophical context-that of the field of contemporary metaphysics-which will enable me to develop a true fundamental explanation for the existence of the non-fundamental entities that fill (...) up the various levels of the layered structure of reality. And thus, given the truth of this type of explanation, we will have one more good reason to believe in the existence of God. (shrink)

The distinction between qualitative and non-qualitative properties should be familiar from discussions of the principle of the identity of indiscernibles: two otherwise exactly similar individuals, Castor and Pollux, might share all their qualitative properties yet differ with respect to their non-qualitative properties—for while Castor has the property being identical to Castor, Pollux does not. But while this distinction is familiar, there has not been much critical attention devoted to spelling out its precise nature. I argue that the class of non-qualitative (...) properties is broader than it is often taken to be. When properly construed, it will not only include properties such as being identical to Castor, which somehow make reference to particular individuals, it will also include more general properties such as identity, composition, set membership, as well as various peculiarly ontological properties. Given that some of these more general properties help to explain objective similarity, we have reason to believe that there are fundamental non-qualitative properties. (shrink)

Separatists about grounding take explanations to be separate from their corresponding grounding-facts. Grounding-facts are supposed to underlie, or back, such explanations. However, the backing relation hasn’t received much attention in the literature. The aim of this paper is to provide an informative definition of backing. First, I examine two prominent proposals: backing as explaining (Kovacs 2017; 2019a) and backing as grounding (see Sjölin Wirling 2020). Finally, I put forward my own proposal. I argue that under plausible assumptions about the role (...) of backing and the nature of explanation, backing should be understood as a form of truthmaking, minimally construed. (shrink)

This is a contribution to Paavo Pylkkänen's Festschrift. I discuss his relationship to Bohm's philosophy and a sense of holism that can be extracted from the Bohmian view.

Discussion of partial grounds that aren't parts of full grounds; definition of full grounding in terms of partial grounding.

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)

In explaining the notion of a fundamental property or relation, metaphysicians will often draw an analogy with languages. The fundamental properties and relations stand to reality as the primitive predicates and relations stand to a language: the smallest set of vocabulary God would need in order to write the “book of the world.” This paper attempts to make good on this metaphor. To that end, a modality is introduced that, put informally, stands to propositions as logical truth stands to sentences. (...) The resulting theory, formulated in higher-order logic, also vindicates the Humean idea that fundamental properties and relations are freely recombinable and a variant of the structural idea that propositions can be decomposed into their fundamental constituents via logical operations. Indeed, it is seen that, although these ideas are seemingly distinct, they are not independent, and fall out of a natural and general theory about the granularity of reality. (shrink)

Many epistemological problems can be solved by the objective Bayesian view that there are rationality constraints on priors, that is, inductive probabilities. But attempts to work out these constraints have run into such serious problems that many have rejected objective Bayesianism altogether. I argue that the epistemologist should borrow the metaphysician’s concept of naturalness and assign higher priors to more natural hypotheses.

I present two puzzles about the metaphysics of stores, restaurants, and other such establishments. I defend a solution to the puzzles, according to which establishments are not material objects and are not constituted by the buildings that they occupy.

This chapter reviews several varieties of grounding skepticism as well as responses that have been proposed by grounding enthusiasts to considerations raised by grounding skeptics. Grounding skeptics, as I conceive of them here, are theorists who belong to one of the following two schools of thought. “Old-school” grounding skeptics doubt the theoretical utility of the grounding idiom by denying one of its presuppositions, viz., that this notion is at least intelligible or coherent. “Second-generation” grounding skeptics call into question the theoretical (...) utility of the grounding idiom for other reasons; their skeptical doubts tend to focus on one of the following three purported theoretical virtues grounding enthusiasts ascribe to their idiom: (i) its alleged power to unify an apparently heterogeneous collection of phenomena; (ii) its alleged power to capture and/or elucidate the distinction between the fundamental and the non-fundamental; or (iii) the alleged metaphysical (as opposed to mind-dependent, epistemic, or psychological) utility of grounding claims. Grounding enthusiasts have already formulated responses to many of the objections described in this chapter. At this point, however, it is fair to say that the state of the literature is still evolving, and no conclusive judgment can therefore be reached as of yet as to whether grounding enthusiasts or grounding skeptics have gained the upper hand in these debates. In the meantime, though, grounding skeptics continue to maintain that the classification of factual and/or nonfactual connections under the rubric of grounding does not really help us illuminate the nature of the connections at issue; instead, from the view of the grounding skeptic, we are better off studying these various connections separately and in their own right. (shrink)

A survey of the connection between grounding and modality, in particular supervenience. The survey explores three possible connections between grounding and supervenience: (1) supervenience can be analyzed in terms of grounding, (2) grounded facts supervene on their grounds, and (3) grounding and supervenience overlap in their theoretical roles.

This paper develops and motivates a unification theory of metaphysical explanation, or as I will call it, Metaphysical Unificationism. The theory’s main inspiration is the unification account of scientific explanation, according to which explanatoriness is a holistic feature of theories that derive a large number of explananda from a meager set of explanantia, using a small number of argument patterns. In developing Metaphysical Unificationism, I will point out that it has a number of interesting consequences. The view offers a novel (...) conception of metaphysical explanation that doesn’t rely on the notion of a “determinative” or “explanatory” relation; it allows us to draw a principled distinction between metaphysical and scientific explanations; it implies that naturalness and fundamentality are distinct but intimately related notions; and perhaps most importantly, it re-establishes the unduly neglected link between explanation and understanding in the metaphysical realm. A number of objections can be raised against the view, but I will argue that none of these is conclusive. The upshot is that Metaphysical Unificationism provides a powerful and hitherto overlooked alternative to extant theories of metaphysical explanation. (shrink)

Eternalism, the view that what we regard locally as being located in the past, the present and the future equally exists, is the best ontological account of temporal existence in line with special and general relativity. However, special and general relativity are not fundamental theories and several research programs aim at finding a more fundamental theory of quantum gravity weaving together all we know from relativistic physics and quantum physics. Interestingly, some of these approaches assert that time is not fundamental. (...) If time is not fundamental, what does it entail for eternalism and the standard debate over existence in time? First, I will argue that the non-fundamentality of time to be found in string theory entails standard eternalism. Second, I will argue that the non-fundamentality of time to be found in loop quantum gravity entails atemporal eternalism, namely a novel position in the spirit of standard eternalism. (shrink)

I outline and provide a solution to some paradoxes of ground.

A simple argument proposes a direct link between realism about quantum mechanics and one kind of metaphysical holism: if elementary quantum theory is at least approximately true, then there are entangled systems with intrinsic whole states for which the intrinsic properties and spatiotemporal arrangements of salient subsystem parts do not suffice. Initially, the proposal is compelling: we can find variations on such reasoning throughout influential discussions of entanglement. Upon further consideration, though, this simple argument proves a bit too simple. To (...) get such metaphysically robust consequences out, we need to put more than minimal realism in. This paper offers a diagnosis: our simple argument seems so compelling thanks to an equivocation. The predictions of textbook quantum theory already resonate with familiar holistic slogans; for realists, then, any underlying reality, conforming to such predictions, also counts as holistic in some sense or other, if only by association. Such associated holism, though, does not establish the sort of specific, robust supervenience failure claimed by our simple argument. While it may be natural to slide to this stronger conclusion, facilitating the slide is not minimal realism per se but an additional explanatory assumption about how and why reality behaves in accordance with our theory: roughly, quantum theory accurately captures patterns in the features and behaviors of physical reality because some underlying metaphysical structure constrains reality to exhibit these patterns. Along with the diagnosis comes a recommendation: we can and should understand one traditional disagreement about the metaphysics of entanglement as another manifestation of a familiar and more general conflict between reductive and non-reductive conceptions of metaphysical theorizing. Such reframing makes clearer what resources reductionists have for resisting the simple argument’s challenge from quantum holism. It also has an important moral for their opponents. Traditional focus on whole-part supervenience failure distracts from a root disagreement about metaphysical structure and its role in our theorizing. Non-reductionists fond of our simple argument would be better off tackling this root directly. (shrink)

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)

Leibniz argues that there must be a fundamental level of simple substances because composites borrow their reality from their constituents and not all reality can be borrowed. I contend that the underlying logic of this ‘borrowed reality argument’ has been misunderstood, particularly the rationale for the key premise that not all reality can be borrowed. Contrary to what has been suggested, the rationale turns neither on the alleged viciousness of an unending regress of reality borrowers nor on the Principle of (...) Sufficient Reason, but on the idea that composites are phenomena and thus can be real only insofar as they have a foundation in substances, from which they directly ‘borrow’ their reality. The claim that composites are phenomena rests in turn on Leibniz's conceptualism about relations. So understood, what initially looked like a disappointingly simple argument for simples turns out to be a rather rich and sophisticated one. (shrink)

Recently, many philosophers have claimed that the world has an ordered, hierarchical structure, where entities at lower ontological levels are said to metaphysically ground entities at higher ontological levels. Other philosophers have recently claimed that our language has an ordered, hierarchical structure. Semantically primitive sentences are said to conceptually ground less primitive sentences. It’s often emphasized that metaphysical grounding is a relation between things out in the world, not a relation between our sentences. But conflating these relations is easy to (...) do, given that both types of grounding are expressed by non-causal “in-virtue-of” claims. The purpose of this paper is to clarify the relation between metaphysical and conceptual grounding. 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. I also develop some heuristics for deciding which type of grounding is relevant in a given case. These heuristics suggest that many proposed cases of metaphysical grounding do not actually involve metaphysical grounding at all. (shrink)

An exploration of ground’s connections to structure (joint-carving, naturalness). The notion of structure is often invoked in connection to ground, because grounding is understood to impose constraints on the ‘structure of reality’. There is another, technical sense of structure, sometimes captured with reference to the notion of ‘joint-carving’. Both of these senses of structure as well as their potential connections are discussed.

An increasing amount of twenty-first century metaphysics is couched in explicitly hyperintensional terms. A prerequisite of hyperintensional metaphysics is that reality itself be hyperintensional: at the metaphysical level, propositions, properties, operators, and other elements of the type hierarchy, must be more fine-grained than functions from possible worlds to extensions. In this paper I develop, in the setting of type theory, a general framework for reasoning about the granularity of propositions and properties. The theory takes as primitive the notion of a (...) substitution on a proposition (property, etc.) and, among other things, uses this idea to elucidate a number of theoretically important distinctions. A class of structures are identified which can be used to model a wide range of positions about the granularity of reality; certain of these structures are seen to receive a natural treatment in the category of M-sets. (shrink)

It is often thought that metaphysical grounding underwrites a distinctive sort of metaphysical explanation. However, it would be a mistake to think that all metaphysical explanations are underwritten by metaphysical grounding. In service of this claim, I offer a novel kind of metaphysical explanation called metaphysical explanation by constraint, examples of which have been neglected in the literature. I argue that metaphysical explanations by constraint are not well understood as grounding explanations.

What is the proper metaphysics of quantum mechanics? In this dissertation, I approach the question from three different but related angles. First, I suggest that the quantum state can be understood intrinsically as relations holding among regions in ordinary space-time, from which we can recover the wave function uniquely up to an equivalence class (by representation and uniqueness theorems). The intrinsic account eliminates certain conventional elements (e.g. overall phase) in the representation of the quantum state. It also dispenses with first-order (...) quantification over mathematical objects, which goes some way towards making the quantum world safe for a nominalistic metaphysics suggested in Field (1980, 2016). Second, I argue that the fundamental space of the quantum world is the low-dimensional physical space and not the high-dimensional space isomorphic to the ``configuration space.'' My arguments are based on considerations about dynamics, empirical adequacy, and symmetries of the quantum mechanics. Third, I show that, when we consider quantum mechanics in a time-asymmetric universe (with a large entropy gradient), we obtain new theoretical and conceptual possibilities. In such a model, we can use the low-entropy boundary condition known as the Past Hypothesis (Albert, 2000) to pin down a natural initial quantum state of the universe. However, the universal quantum state is not a pure state but a mixed state, represented by a density matrix that is the normalized projection onto the Past Hypothesis subspace. This particular choice has interesting consequences for Humean supervenience, statistical mechanical probabilities, and theoretical unity. (shrink)

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)