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 (...) brief section looks at the methodological issue of naturalism, paving the way for the survey of fundamentality in the philosophy of physics, which is carried out in the second part. (shrink)

According to metaphysical coherentism, grounding relations form an interconnected system in which things ground each other and nothing is ungrounded. This potentially viable view’s logical territory remains largely unexplored. In this paper, I describe that territory by articulating four varieties of metaphysical coherentism. I do not argue for any variety in particular. Rather, I aim to show that not all issues which might be raised against coherentism will be equally problematic for all the versions of that view, which features far (...) more nuance and diversity than is typically ascribed to it. (shrink)

Non-naturalists about normativity hold that there are instantiable normative properties which are metaphysically discontinuous with natural properties. One of the central challenges to non-naturalism is how to reconcile this discontinuity with the supervenience of the normative on the natural. Drawing on J. L. Mackie’s seminal but highly compressed discussion in Ethics: Inventing Right and Wrong, this paper argues that the supervenience challenge as usually conceived is merely a symptom of a more fundamental challenge in the vicinity.

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 (...) of the view. The first half provides some positive motivations in terms of other natural principles involving ground. The second half considers various ways of distilling the challenge into a precise objection to the view, and argues that none of the resulting objections proves persuasive. (shrink)

Radically permissive ontologies like mereological universalism and material plenitude are typically motivated by concerns about arbitrariness or anthropocentrism: it would be objectionably arbitrary, the thought goes, to countenance only those objects that we ordinarily take there to be. Despite the prevalence of this idea, it isn't at all clear what it is for a theory to be “objectionably arbitrary,” or what follows from a commitment to avoiding arbitrariness in metaphysics. This paper aims to clarify both questions, and examines whether arguments (...) from arbitrariness really are the proper foundations for one or both varieties of ontological permissivism. I argue that these considerations (even when made more precise) are far less successful at motivating radical forms of permissivism than we often take them to be. To do better, permissivists must either supply a much more developed metaphysics of material objects, or a controversial (but tempting) conception of what we're doing when we do metaphysics. (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)

This paper develops a view on which: (a) all fundamental facts are absolute, (b) some facts do not supervene on the fundamental facts, and (c) only relative facts fail to supervene on the fundamental facts.

The social world contains institutions, groups, objects, and more. This essay explores a puzzle about the essences of social items. There is widespread consensus against social essences because of problematic presuppositions often made about them. But it is argued that essence can be freed from these presuppositions and their problems. Even so, a puzzle still arises. In a Platonic spirit, essences in general seem detached from the world. In an Aristotelian spirit, social essences in particular seem embedded in the world. (...) The puzzle is that these inclinations are individually plausible but jointly incompatible. The essay has four aims: to clarify and refine the puzzle; to explore the puzzle's implications for essence in general and for social essences in particular; to illustrate the fruitfulness of the general distinction between detached and embedded; and to develop this distinction to sketch a novel solution to the puzzle. (shrink)

Metaphysics and ethics are two distinct fields in academic philosophy. The object of metaphysics is what is, while the object of ethics is what ought to be. Necessitarianism is a modal doctrine that appears to obliterate this neat distinction. For it is commonly assumed that ought (at least under normal circumstances) implies can. But if necessitarianism is true then I can only do what I actually do. Hence what I ought to do becomes limited to what I in fact do. (...) This is one widespread way of construing the danger that necessitarianism poses for ethics. There is, however, another way in which this collapse of what is with what ought to be can be construed. One could think of what is as already being what ought to be, of the two being one. On this picture, everything that is, is already valuable. In this thesis I explore the theory that being is intrinsically valuable. I do so by investigating the philosophy of perfection present in the works of the early modern rationalist Spinoza. For in his philosophy of perfection, I argue, we find being and value to be perfectly aligned. Hence, my reading challenges a widespread interpretation, according to which (ontological) perfection is divested of normativity in Spinozism. The position that all being is intrinsically valuable since it is perfect may be thought to be incompatible with human perfectionism. For what room can there be for human progress toward an ideal of perfection if all that exists, is necessarily perfect? The goal of the thesis is to respond to this question by providing a systematic interpretation of the metaphysics of human perfectibility in Spinoza’s philosophy. In order to achieve this goal, I undertake two tasks. First, I examine Spinoza’s multi-faceted philosophy of perfection. I distinguish between ontological and teleological perfection. Moreover, I argue that since Spinoza maintains that everything is perfect to the extent that it is, perfection shoulders the role of a transcendental within his system. In order to highlight the normative significance of transcendental perfection, I compare Spinoza’s thought with the transcendental theory of the good in Thomas Aquinas. In addition, I distinguish between ontological and speculative perfection. Speculative perfection is conscious awareness of ontological perfection. Second, I show how infinity plays an essential role in Spinoza’s ethics by indicating how we, by availing ourselves of this notion, are able to acquire a perspective on reality from which its ontological perfection may be discovered. On this basis, I am able to demonstrate the (relatively understudied) ethical and soteriological importance of Spinoza’s conception of infinity. I argue that it is because (a) Spinoza’s ideal of human perfection is speculative, and because (b) one will be able to establish the (ontological) perfection of things by deducing it from the divine essence only when one considers this essence absolutely infinite, that (c) the absolute infinity of the divine essence plays a significant role in Spinoza’s account of human perfection as consisting in conscious awareness of the value of all being. (shrink)

According to comparativist theories of quantities, their intrinsic values are not fundamental. Instead, all the quantity facts are grounded in scale-independent relations like "twice as massive as" or "more massive than." I show that this sort of scale independence is best understood as a sort of metaphysical symmetry--a principle about which transformations of the non-fundamental ontology leave the fundamental ontology unchanged. Determinism--a core scientific concept easily formulated in absolutist terms--is more difficult for the comparativist to define. After settling on the (...) most plausible comparativist understanding of determinism, I offer some examples of physical systems that the comparativist must count as indeterministic although the relevant physical theory gives deterministic predictions. Several morals are drawn. In particular: comparativism is metaphysically contingent if true, and it is most natural for a comparativist to accept an at-at theory of motion. (shrink)

This paper critically examines a prominent and perennial strategy—found in thinkers as diverse as Kant and Shamik Dasgupta—of simultaneously embracing the Principle of Sufficient Reason and also limiting it so as to avoid certain apparently negative consequences of an unrestricted PSR. I will argue that this strategy of taming the PSR faces significant challenges and may even be incoherent. And for my purposes, I will enlist a generally derided argument by Leibniz for the PSR which will help us to see (...) the connections between the PSR and a radical form of monism. (shrink)

In this essay I defend a kind of nonnaturalist normative supervenience, grounded in the essences of things. Essentialist theories, in fact, give us the tools to treat the nexus of normative supervenience as a nexus of metaphysical necessity, holding between the normative and the natural. In this context, essentialist grounding provides an explanation of normative supervenience that allows us to keep together both supervenience and nonnaturalism. Moreover, to achieve this significant result, I do not make use of hybrid properties, which (...) are both normative and natural. Rather, I endeavour to show that the notion of hybrid property is based on an erroneous notion of grounding. (shrink)

A recent, seemingly appealing version of the powerful qualities view defines properties’ qualitativity via an essentialist claim and their powerfulness via a grounding claim. Roughly, this approach holds that properties are qualities because they have qualitative essences, while they are powerful because their instances or essences ground causal-modal facts. I argue that this theory should be replaced with one that defines the powerfulness of qualities in terms of both a grounding claim and a ‘meta-grounding’ claim. Specifically, I formulate and defend (...) a view on which qualities are powerful just if instances of those qualitiesat least partiallyground dispositionsin virtue of the essences of those qualities. (shrink)

I defend a new account of constitutive essence on which an entity’s constitutively essential properties are its most fundamental, nontrivial necessary properties. I argue that this account accommodates the Finean counterexamples to classic modalism about essence, provides an independently plausible account of constitutive essence, and does not run into clear counterexamples. I conclude that this theory provides a promising way forward for attempts to produce an adequate nonprimitivist, modalist account of essence. As both triviality and fundamentality in the account are (...) understood in terms of grounding, the theory also potentially has important implications for the relation between essence and grounding. (shrink)

There are some necessary conditions on causal relations that seem to be so trivial that they do not merit further inquiry. Many philosophers assume that the requirement that there could be no temporal gaps between causes and their effects is such a condition. Bertrand Russell disagrees. In this paper, an in-depth discussion of Russell’s argument against this necessary condition is the centerpiece of an analysis of what is at stake when one accepts or denies that there can be temporal gaps (...) between causes and effects. It is argued that whether one accepts or denies this condition, one is implicated in taking on substantial and wide-ranging philosophical positions. Therefore, it is not a trivial necessary condition of causal relations and it merits further inquiry. (shrink)

'Chains of Being' argues that there can be infinite chains of dependence or grounding. Cameron also defends the view that there can be circular relations of ontological dependence or grounding, and uses these claims to explore issues in logic and ontology.

Strong dispositional monism, the position that all fundamental physical properties consist in dispositional relations to other properties, is naturally construed as property structuralism. J. Lowe’s circularity/regress objection constitutes a serious challenge to SDM that questions the possibility of a purely relational determination of all property essences. The supervenience thesis of A. Bird’s graph-theoretic asymmetry reply to CRO can be rigorously proved. Yet the reply fails metaphysically, because it reveals neither a metaphysical determination of identities on a purely relational basis nor (...) a determination specifically of identities in the sense of essences. Asymmetry is thus not by itself sufficient for a solution to CRO. But it cannot even help to answer CRO when a model for the determination of essences is taken as a basis. Nor is asymmetry necessary for a reply, as property structures may well be symmetric. A metaphysics of dispositional properties as grounded in a purely relational structure faces serious obstacles, and the properties would not be fundamental. Since essence and grounding are notions of metaphysical priority, there can be no essentially dispositional metaphysically fundamental properties, and the prospects of a “coherentist” metaphysics of basic properties are dim. A modal retreat that refrains from a post-modal conception of essence and simply claims that fundamental properties play dispositional roles by metaphysical necessity is unsatisfactory. (shrink)

The central aim of this paper is to use a particular view about how the laws of nature govern the evolution of our universe in order to develop and evaluate the two main competing options in the metaphysics of persistence, namely endurantism and perdurantism. We begin by motivating the view that our laws of nature dictate not only qualitative facts about the future, but also which objects will instantiate which qualitative properties. We then show that both traditional doctrines in the (...) metaphysics of persistence must take on surprising further commitments in order to vindicate our universe being law-governed in this strong sense. For example, we argue that endurantists should adopt a particular version of monism, and that perdurantists should adopt a qualitativist doctrine that dispenses with all individuals at the fundamental level. (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)

It is often assumed that the first stage of many classical arguments for theism depends upon some version of the Principle of Sufficient Reason being true. Unfortunately for classical theists, PSR is a controversial thesis that has come under rather severe criticism in the contemporary literature. In this article, I grant for the sake of argument that every version of PSR is false. Thus, I concede with the critics of PSR, that it is possible that there is, at least, one (...) fact that is ontologically brute. I then proffer an epistemological challenge to ontological bruteness. Specifically, I argue that whenever a knowledge seeker, S, perceives some unexplained fact, F, it is never reasonable for S to believe F is ontologically brute. I conclude that, even if PSR is false, it is more reasonable to believe that the key premise in the first stage of classical arguments for theism is true. (shrink)

My aim in this paper is to explore the limits of a conception of metaphysical explanation based on the Principle of Sufficient Reason (PSR). For this purpose, I will focus on one of the alleged counter-intuitive consequences of an unrestricted application of the PSR, namely: Radical Monism. First, I will articulate such a conception of metaphysical explanation. Then, I will explain how is it that from a famous argument that rests on the PSR (i.e., Bradley’s regress) Radical Monism indeed seems (...) to follow. Right away, I will argue against the natural reaction that such argument triggers, namely: that we shall accept pluralism and relations as brute facts. Finally, I will sketch a qualified version of the PSR that allows us to avoid Radical Monism without compromising the essential content of the PSR. (shrink)

I show how the Cosmological Argument (CA) is undermined by one of its own premises: the Principle of Sufficient Reason (PSR). First, I explain the type of CA that I am thinking about. Second, I explain a traditional modal objection against the PSR, which is ultimately based upon our intuitions in favor of contingency. Third, I show how this modal objection begs the question against the necessitarian, and then I reformulate the CA in more neutral terms. Fourth, using this more (...) neutral version of the CA, I argue that the main problem with the PSR goes way beyond its apparent necessitarian consequences. As an argument used by Bradley shows, embracing the rationalist path that underlies the PSR seems to commit us to a form of Radical Monism. I conclude by showing how this result ultimately undermines the CA. (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.

Although it is very often taken for granted that there is something fundamental, the literature appears to have developed with little to no careful consideration of what exactly it is that the fundamentalia are supposed to do. If we are to have a good reason to believe that there is something fundamental, we need not only to know what exactly it is that the fundamentalia are invoked for, but why it is that nothing else is available for the task to (...) hand. A good argument in defense of fundamentality, then, will contain an assumption that stipulates an explanatory target; along with a second, crucial, assumption that tells us that no dependent entity is available to do the work that needs to be done. In this paper, I explore both of these assumptions. (shrink)

Metaphysicians of a certain stripe are almost unanimously of the view that grounding is necessarily irreflexive, asymmetric, transitive, and well-founded. They deny the possibility of circles of ground and, therewith, the possibility of species of metaphysical coherentism. But what's so bad about circles of ground? One problem for coherentism might be that it ushers in anti-foundationalism: grounding loops give rise to infinite regresses. And this is bad because infinite grounding regresses are vicious. This article argues that circles of ground do (...) not necessarily give rise to infinite regresses, and where they do, those regresses are not necessarily vicious. (shrink)

Consider an infinite series whose items are each explained by their immediate successor. Does such an infinite explanation explain the whole series or does it leave something to be explained? Hume arguably claimed that it does fully explain the whole series. Leibniz, however, designed a very telling objection against this claim, an objection involving an infinite series of book copies. In this paper, I argue that the Humean claim can, in certain cases, be saved from the Leibnizian “infinite book copies” (...) objection, and that this provides an interesting way to defuse some cosmological arguments for the existence of God and to give a non-theistic but complete explanation of the Universe. In the course of my argumentation, I also show that circular explanations can be “self-explanatory” as well: explaining two items by each other can explain the couple of items tout court. (shrink)

I argue—contra moderate grounding pluralists such as Kit Fine and more extreme grounding pluralists such as Jessica Wilson—that there is fundamentally only one grounding/in-virtue-of relation. I also argue that this single relation is indispensable for normative theorizing—that we can’t make sense of, for example, the debate over consequentialism without it. It follows from what I argue that there is no metaethically-pure normative ethics.

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.

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 seeks to clarify one of the deepest questions about the source or ground of normativity, while also presenting an essence-based approach to answering it. We call it the ‘Arché Question.’ Though all metanormative theories must address this question, very few realists have explicitly grappled with the challenge it poses; those who have appear to deny any need to give an answer. After critically discussing extant realist responses, this paper outlines an essence-based approach to answering the Arché Question that (...) draws on theoretical resources forged in recent advances in post-modal metaphysics. (shrink)

Descartes famously espouses modal voluntarism, the doctrine that God freely creates the eternal truths. God has chosen to make it true that two plus two equals four, for instance, but he could have chosen otherwise. Why, though, does Descartes endorse modal voluntarism? Many commentators have noted that he regularly appeals to divine omnipotence to justify his doctrine. This strategy is usually thought to be unsuccessful, however, because it seems to presuppose—question-beggingly—that the eternal truths are in the scope of God’s power. (...) This paper argues that Descartes’s appeal to divine omnipotence has more going for it than meets the eye. Like many other medieval and early modern philosophers, Descartes assumes that God has the power to control everything that remains unfixed by his own essence. At the same time, though, he denies that the eternal truths are fixed by, or grounded in, the divine essence. The combination of these two commitments leads to modal voluntarism. The paper also argues that the Principle of Sufficient Reason (PSR) may play an important role in the reasoning that leads Descartes to endorse modal voluntarism. This is surprising, given that the PSR appears to be deeply at odds with modal voluntarism. (shrink)

I argue that one’s views about which “metaphysical laws” obtain—including laws about what is identical with what, about what is reducible to what, and about what grounds what—can be used to deflect or neutralize the threat posed by a debunking explanation. I use a well-known debunking argument in the metaphysics of material objects as a case study. Then, after defending the proposed strategy from the charge of question-begging, I close by showing how the proposed strategy can be used by certain (...) moral realists to resist the evolutionary debunking arguments. (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)

This paper distinguishes bruteness from fundamentality by developing a theory of stochastic grounding that makes room for non-fundamental bruteness. Stochastic grounding relations, which only underwrite incomplete explanations, arise when the fundamental level underdetermines derivative levels. The framework is applied to fission cases, showing how one can break symmetries and mitigate bruteness whilst avoiding arbitrariness and hypersensitivity.

ABSTRACT According to an important version of the Principle of Sufficient Reason, every fact has a metaphysical explanation, where a metaphysical explanation of some fact tells us what makes it the case that the fact obtains. I argue that, so long as we have not yet discovered that any fact is brute, we ought to be committed to this version of the principle—henceforth ‘the PSR’—because it is indispensable to a species of inquiry in which we ought to engage. I argue, (...) first, that a practical indispensability argument applied to this species of inquiry supports a commitment to the PSR. I then show that we ought to engage in this inquiry. If my argument succeeds, then our attitude at the outset of such inquiry should not be agnosticism about whether any particular fact has a metaphysical explanation. Instead, we ought to be committed to the PSR. (shrink)

Canonical defenders of the principle of sufficient reason (PSR), such as Leibniz and Spinoza, are metaphysical foundationalists of one stripe or another. This is curious since the PSR—which says that everything has a ground, cause, or explanation—in effect, denies fundamental entities. In this paper, I explore the apparent inconsistency between metaphysical foundationalism and approaches to metaphysical system building that are driven by a commitment to the PSR. I do so by analyzing how Indian Buddhist philosophers arrive at foundationalist and anti-foundationalist (...) positions motivated by implicit commitments to different versions of the PSR. I begin by introducing the Buddhist principle of dependent origination (pratītyasamutpāda) as a proto-PSR that is restricted to causal explanation. Next, I show how Vasubandhu’s Sautrāntika Abhidharma metaphysics is shaped by a qualified commitment to both causal and metaphysical grounding versions of the PSR. I then reveal how Nāgārjuna’s Madhyamaka metaphysics is driven by an unrestricted and exceptionless commitment to causal and metaphysical grounding versions of the PSR. Finally, I consider how Nāgārjuna’s account may put him in a unique position to respond to a common contemporary objection to the PSR from necessitarianism. I conclude by addressing a competing interpretation on which Nāgārjuna is best understood as an anti-rationalist rather than an uber-rationalist, as I characterize him. (shrink)

It is widely agreed among broadly Anselmian theists that God is in some sense the 'delimiter of possibilities.' In other words, the scope of possibility is explained by the manner in which the universe emanates from God. However, existing accounts of God's role here—in terms of freedom, choice, or power—face serious difficulties. The present paper provides a new account of God's role as the delimiter of possibilities in terms of the different manner in which the non-actuality of non-actual states of (...) affairs is explained. Intuitively and metaphorically, we can think of the menu of states of affairs being 'whittled down' in successive stages of a process of divine decision-making, with the different species of impossibility corresponding to when and how the states of affairs are ruled out. I argue that this approach provides genuine contingency while also preserving the Principle of Sufficient Reason. (shrink)

The arguments in favor of the Principle of Indifference fail to explain its fruitfulness in science. Using the recent metaphysical concept of Grounding, I devise an explanation that can justify a weak version of the principle and discuss an instance of its application in Quantum mechanics.

I provide a theory of the metaphysical foundations of identity: an account what grounds facts of the form a=b. In particular, I defend the claim that indiscernibility grounds identity. This is typically rejected because it is viciously circular; plausible assumptions about the logic of ground entail that the fact that a=b partially grounds itself. The theory I defend is immune to this circularity.

This paper develops and explores a new framework for theorizing about the measurement and aggregation of well-being. It is a qualitative variation on the framework of social welfare functionals developed by Amartya Sen. In Sen’s framework, a social or overall betterness ordering is assigned to each profile of real-valued utility functions. In the qualitative framework developed here, numerical utilities are replaced by the properties they are supposed to represent. This makes it possible to characterize the measurability and interpersonal comparability of (...) well-being directly, without the use of invariance conditions, and to distinguish between real changes in well-being and merely representational changes in the unit of measurement. The qualitative framework is shown to have important implications for a range of issues in axiology and social choice theory, including the characterization of welfarism, axiomatic derivations of utilitarianism, the meaningfulness of prioritarianism, the informational requirements of variable-population ethics, the impossibility theorems of Arrow and others, and the metaphysics of value. (shrink)

This volume announces a new era in the philosophy of God. Many of its contributions work to create stronger links between the philosophy of God, on the one hand, and mathematics or metamathematics, on the other hand. It is about not only the possibilities of applying mathematics or metamathematics to questions about God, but also the reverse question: Does the philosophy of God have anything to offer mathematics or metamathematics? The remaining contributions tackle stereotypes in the philosophy of religion. The (...) volume includes 35 contributions. It is divided into nine parts: 1. Who Created the Concept of God; 2. Omniscience, Omnipotence, Timelessness and Spacelessness of God; 3. God and Perfect Goodness, Perfect Beauty, Perfect Freedom; 4. God, Fundamentality and Creation of All Else; 5. Simplicity and Ineffability of God; 6. God, Necessity and Abstract Objects; 7. God, Infinity, and Pascal's Wager; 8. God and (Meta-)Mathematics; and 9. God and Mind. (shrink)

Contributors: Steven Barbone, Laurent Bove, Edwin Curley, Valérie Debuiche, Michael Della Rocca, Simon B. Duffy, Daniel Garber, Pascale Gillot, Céline Hervet, Jonathan Israel, Chantal Jaquet, Mogens Lærke, Jacqueline Lagrée, Martin Lin, Yitzhak Y. Melamed, Pierre-François Moreau, Steven Nadler, Knox Peden, Alison Peterman, Charles Ramond, Michael A. Rosenthal, Pascal Sévérac, Hasana Sharp, Jack Stetter, Ariel Suhamy, Lorenzo Vinciguerra.

Few these days dispute that the knowledge argument demonstrates an epistemic gap between the physical facts and the facts about experience. It is much more contentious whether that epistemic gap can be used to demonstrate a metaphysical gap of a kind that is inconsistent with physicalism. In this paper I will explore two attempts to block the inference from an epistemic gap to a metaphysical gap – the first from the phenomenal concept strategy, the second from Russellian monism – and (...) suggest how the proponent of the knowledge argument might respond to each of these challenges. In doing so, I will draw on recent discussions of grounding and essence in the metaphysics literature. (shrink)

In this paper I argue against grounding being necessarily well-founded, and provide some reasons to think it's actually not well-founded.

The book discusses the structure, content, and evaluation of cosmological arguments. The introductory chapter investigates features essential to cosmological arguments. Traditionally, cosmological arguments are distinguished by their appeal to change, causation, contingency or objective becoming in the world. But none of these is in fact essential to the formulation of cosmological arguments. Chapters 1-3 present a critical discussion of traditional Thomistic, Kalam, and Leibnizian cosmological arguments, noting various advantages and disadvantages of these approaches. Chapter 4 offers an entirely new approach (...) to the cosmological argument - the approach of theistic modal realism. The proper explananda of cosmological arguments on this approach is not change, causation, contingency or objective becoming in the world. The proper explananda is the totality of metaphysical reality - all actualia and all possibilia. The result is the most compelling and least objectionable version of the cosmological argument. (shrink)

I develop a reduction of grounding to essence. My approach is to think about the relation between grounding and essence on the model of a certain conceptof existential dependence. I extend this concept of existential dependence in a coupleof ways and argue that these extensions provide a reduction of grounding to essenceif we use sorted variables that range over facts and take it that for a fact to obtain is forit to exist. I then use the account to resolve various (...) issues surrounding the concept of grounding and its connection with essence; apply the account to paradigm cases andto the impure logic of grounding; and respond to objections. (shrink)

This paper focuses on the concept of collective essence: that some truths are essential to many items taken together. For example, that it is essential to conjunction and negation that they are truth-functionally complete. The concept of collective essence is one of the main innovations of recent work on the theory of essence. In a sense, this innovation is natural, since we make all sorts of plural predications. It stands to reason that there should be a distinction between essential and (...) accidental plural predications if there is a distinction among singular predications. In this paper I defend the view that the concept of collective essence is governed by the principle of Monotonicity: that something is essential to some items only if it is essential to any items to which they belong. (shrink)

What is it for something to be essential to an item? For some time, it was standard to think that the concept of necessity alone can provide an answer: for something to be essential to an item is for it to be strictly implied by the existence of that item. We now tend to think that this view fails because its analysans is insufficient for its analysandum. In response, some argue that we can supplement the analysis in terms of necessity (...) with a further condition. In this paper I argue that this view is untenable in its current form. I then provide a glimmer of hope to those who think that essence is at least partially analyzable in terms of necessity. (shrink)