This paper argues that, with certain provisos, predicting one's future actions is incompatible with rationally deliberating about whether to perform those actions. It follows that fully rational omniscient agents are impossible, since an omniscient being could never rationally deliberate about what to do. Consequently, theories that explain practical reasons in terms of the choices of a perfectly rational omniscient agent must fail. The paper considers several ways of defending the possibility of an omniscient agent, and concludes that while some of (...) these may work, they are inconsistent with the aim of explaining practical normativity by appeal to such an agent. (shrink)

In this article it is argued that the standard theoretical account of risk in the contemporary literature, which is cast along probabilistic lines, is flawed, in that it is unable to account for a particular kind of risk. In its place a modal account of risk is offered. Two applications of the modal account of risk are then explored. First, to epistemology, via the defence of an anti-risk condition on knowledge in place of the normal anti-luck condition. Second, to legal (...) theory, where it is shown that this account of risk can cast light on the debate regarding the extent to which a criminal justice system can countenance the possibility of wrongful convictions. (shrink)

The block universe is generally considered as the metaphysical position that best accommodates the outcomes of relativistic physics. Its most consistent formulation postulates a static universe where change is not admitted. However, some of its advocates try to reconcile its basic adynamical commitments as to the nature of physical reality with certain aspects of dynamism that arise, for instance, within human experience. In this article, I first examine how some block viewers try to reconcile dynamism and adynamism. I then go (...) on to discuss the problems that emerge while trying to make room for dynamism within the block. To this end, I clarify the meaning of adynamism and explains what it takes to eradicate dynamism through the implementation of the so-called “Langrangian schema”. Based on this analysis, I juxtapose two resolute attempts at the formulation of a thoroughly adynamical project. The first, named relational block world, aims to make the block view totally static. The second, Barbour’s early works on the implementation of a neo-Machian relational strategy, makes the point that a complete adynamism cannot be achieved within relativity and its metaphysical counterpart. The article in conclusion argues that, by dismissing four-dimensionalism and embracing three-dimensionalism, Barbour proves better at promoting an utterly static physics. (shrink)

Any adequate theory of chance must accommodate some version of David Lewis's ‘Principal Principle’, and Lewis has argued forcibly that believers in primitive propensities have a problem in explaining what makes the Principle true. But Lewis can only derive (a revised version of) the Principle from his own Humean theory by putting constraints on inductive rationality which cannot be given a Humean rationale.

Common sense supposes thoughts can cause bodily movements and thereby bring about changes in where the agent is or how his surroundings are. Many philosophers suppose that any such outcome is realized in a complex state of affairs involving only microparticles; that previous microphysical developments were sufficient to cause that state of affairs; hence that, barring overdetermination, causation by the mental is excluded. This paper argues that the microphysical swarm that realizes the outcome is an accident (Aristotle) or a coincidence (...) (David Owens) and has no cause, though each component movement in it has one. Mental causation faces no competition “from below”. (shrink)

I argue that supervenience is an inadequate device for representing relations between different levels of phenomena. I then provide six criteria that emergent phenomena seem to satisfy. Using examples drawn from macroscopic physics, I suggest that such emergent features may well be quite common in the physical realm.

There is a strong pull to the idea that there is some metaphysically interesting distinction between the fully real, objective, observer‐independent qualities of things as they are in themselves, and the less‐than‐fully‐real, subjective, observer‐dependent qualities of things as they are for us. Call this (putative) distinction the primary/secondary quality distinction. The distinction between primary and secondary qualities is philosophically interesting because it is (a) often quite attractive to draw such a distinction, and (b) incredibly hard to spell it out in (...) any kind of satisfying and sensible way. I attempt such a spelling‐out after first trying to pin down in more detail what we want from the primary/secondary quality distinction, and saying a bit about why that is such a hard thing to get. (shrink)

Recently the discussion surrounding the conceivability thesis has been less about the link between conceivability and possibility per se and more about the requirements of a successful physicalist program. But before entering this debate it is necessary to consider whether conceivability provides us with evenprima faciejustification for our modal beliefs. I argue that two methods of conceiving—imagining that p and telling a story about p—can provide us with such justification, but only if certain requirements are met. To make these arguments, (...) I consider those of Paul Tidman, whose position I use as a foil. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...) and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter \textbf{2} argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal and hyperintensional cognitivism and modal and hyperintensional expressivism. I also develop a novel topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel dynamic two-dimensional semantics grounded in two-dimensional hyperintensional Turing machines. Chapter \textbf{3} provides an abstraction principle for epistemic (hyper-)intensions. Chapter \textbf{4} advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter \textbf{5} applies the fixed points of the modal $\mu$-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal $\mu$-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal $\mu$-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter \textbf{6} advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter \textbf{7} provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters \textbf{2} and \textbf{4} are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters \textbf{8-12} provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter \textbf{8} examines the interaction between my hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of $\Omega$-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter \textbf{9} examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest, too, that observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter \textbf{10} examines the philosophical significance of hyperintensional $\Omega$-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter \textbf{11} provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter \textbf{12} avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between interpretational and objective modalities and the truthmakers thereof. This yields the first hyperintensional category theory in the literature. I invent a new mathematical trick in which first-order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals while bypassing the category of Set in category theory. Chapter \textbf{13} examines modal responses to the alethic paradoxes. I provide a counter-example to epistemic closure for reductio proofs. Chapter \textbf{14} examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...) and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter \textbf{2} argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal and hyperintensional cognitivism and modal and hyperintensional expressivism. I also develop a novel topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel dynamic two-dimensional semantics grounded in two-dimensional hyperintensional Turing machines. Chapter \textbf{3} provides an abstraction principle for epistemic (hyper-)intensions. Chapter \textbf{4} advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter \textbf{5} applies the fixed points of the modal $\mu$-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal $\mu$-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal $\mu$-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter \textbf{6} advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter \textbf{7} provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters \textbf{2} and \textbf{4} are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters \textbf{8-12} provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter \textbf{8} examines the interaction between my hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of $\Omega$-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter \textbf{9} examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest, too, that observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter \textbf{10} examines the philosophical significance of hyperintensional $\Omega$-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter \textbf{11} provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter \textbf{12} avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between interpretational and objective modalities and the truthmakers thereof. This yields the first hyperintensional category theory in the literature. I invent a new mathematical trick in which first-order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals while bypassing the category of Set in category theory. Chapter \textbf{13} examines modal responses to the alethic paradoxes. I provide a counter-example to epistemic closure for reductio proofs. Chapter \textbf{14} examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (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 the infinite plurality of concrete and abstract possible worlds, posited by David K. Lewis and Alvin Plantinga. This assessment will be carried out within the (modified) explanatory framework of Richard Swinburne, which will lead to the conclusion that the existence of God provides a true fundamental explanation for these specific entities. And (...) thus, given the truth of this type of explanation, we have another good abductive argument for God’s existence and grounds for affirming a weaker form of the principle of methodological naturalism in our metaphysical theorising. (shrink)

In this article, I seek to assess the extent to which a ‘trope-theoretic’ version of Theism is a better theory than that of a theory of Atheism, as posited by Graham Oppy. This end will be achieved by utilising the systemisation of the theoretical virtues proposed by Michael Keas (as further modified by an application of the work of Jonathan Schaffer), the notion of a trope, introduced by D.C. Williams, and an aspect, proposed by Donald L.M. Baxter, which will establish (...) the basis of the trope-theoretic account of Theism that will be at the centre of our analysis. This assessment will ultimately show that Theism, rather than that of Atheism (Naturalism), can successfully achieve the trade-off between minimising theoretical commitments and maximising explanatory power. And thus, given this, the best theory of Theism—namely, that of ‘trope-theoretic Theism’—is to be privileged over that of the best theory of Atheism—namely, that of ‘Oppyian Naturalism’—and is able to provide grounds for a decisive reassessment of the cogency of Agnosticism. (shrink)

In recent years there has been a lot of skepticism about the existence of facts. It seems that one of the last places for their application is in truthmaking theory. In this paper I discuss two approaches to the use of facts in truthmaking. The first, categorial, holds that facts are entities that belong to one of three ontological categories (true propositions, truth of propositions, instantiations of universals).The second, deflationary, holds that a fact is merely a functional concept denoting any (...) entity that performs a truthmaking function. I argue that in the face of significant criticism of categorial facts as truthmakers, a defender of facts may resort to the deflationary concept. Nevertheless, even in this case we can do without facts as truthmakers. (shrink)

La presencia de préstamos léxicos en una lengua es un indicio de la introducción de una palabra foránea y una nueva realidad. Aquí discutiré cómo la presencia de préstamos léxicos en las lenguas es un indicio de la pluralidad del mundo real. Para esto, tomaré la tesis expuesta por Lewis sobre la pluralidad de mundos y presentaré ejemplos del muisca y del español1, como una prueba de que el mundo, como un único lugar donde todo está incluido, conlleva la pluralidad (...) del mundo real, debido a que hay otro que suele ser desconocido y, en consecuencia, no posible dentro de sus mundos posibles. (shrink)

I explore a challenge that idealisations pose to scientific realism and argue that the realist can best accommodate idealisations by capitalising on certain modal features of idealised models that are underwritten by laws of nature.

In this article, we propose a new trope nominalist conception of determinate and determinable kinds of quantitative tropes. The conception is developed as follows. First, we formulate a new account of tropes falling under the same determinates and determinables in terms of internal relations of proportion and order. Our account is a considerable improvement on the current standard account (Campbell 1990; Maurin 2002; Simons 2003) because it does not rely on primitive internal relations of exact similarity or quantitative distance. The (...) internal relations of proportion and order hold because the related tropes exist; no kinds of tropes need be assumed here. Second, we argue that there are only pluralities of tropes in relations of proportion and order. The tropes mutually connected by the relations of proportion and order form a special type of plurality, tropes belonging to the same kind. Unlike the recent nominalist accounts, we do not identify kinds of tropes with any further entities (e.g. sets) or abstractions from entities (e.g. pluralities of similar tropes). (shrink)

Formal ontology as a main branch of metaphysics investigates categories of being. In the formal ontological approach to metaphysics, these ontological categories are analysed by ontological forms. This analysis, which we illustrate by some category systems, provides a tool to assess the clarity, exactness and intelligibility of different category systems or formal ontologies. We discuss critically different accounts of ontological form in the literature. Of ontological form, we propose a character- neutral relational account. In this metatheory, ontological forms of entities (...) are their standings in internal relations whose holding is neutral on the character of their relata. These relations are “formal ontological relations”. Entities belong to ontological categories because they stand in the same formal ontological relations. We hold a nominalist relationalism about ontological categories and forms. We conclude by showing that our metatheory is useful for understanding categorial fundamentality/non- fundamentality, different formal ontologies, and for unifying metaphysical questions. (shrink)

According to the cluster of theories in the metaphysics of properties known as ‘trope’ theories, properties are collections of particular qualitative instances. Though increasingly influential, the cluster is sufficiently diverse for there to be little agreement as to the prospects of its members. The present essay articulates and defends a conception of tropes as primitively qualitatively complex, somewhat in the vein of Quinean nominalist objects. After clarifying the relationships among tropes, properties, property exemplification, and property conferral, the essay discusses the (...) benefits of this new ‘ostrich’ trope theory. Specifically, the theory explains better than prior trope theories both the spatiotemporal status of tropes and the capacity tropes have to confer properties onto objects. Moreover, the theory is immune to many of the concerns that threaten more orthodox trope ontologies. (shrink)

This paper presents the view that tropes can change, and so are not individuated by their determinate qualitative characters. On the view I have in mind, a trope is at any given time fully determinate, but can change qualitatively within the bounds set by a determinable essence. A charge trope, for example, must at any time have some exact intensity, but can survive changes in intensity. My argument, roughly, is this: Objects can change, and tropes are the parts of objects (...) that change (in a special sense of ‘part’), so tropes can change too. After some preliminaries, I present the argument carefully and discuss the operant notions. I then discuss each premise in turn. I respond to the charge that the view isn't realist, and to objections based on identity‐conditions for tropes. I describe both substratum‐ and bundle‐theoretic versions of the view, and finally, show what the view buys us. (shrink)

The practical goal of preventing premature death seems uncontroversial. But the term ‘premature death’ is vague with several, sometimes conflicting definitions. This ambiguity results in several conceptions with which not all will agree. Moreover, the normative rationale behind the goal of preventing premature deaths is masked by the operational definition of existing measures. In this article, we argue that ‘premature death’ should be recognized as a normative concept. We propose that normative theories should be used to justify measures of premature (...) death to provide them with normative validity and public legitimacy. (shrink)

Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?

In this paper, I argue that no theory of consciousness can simultaneously respect four initially plausible metaphysical claims – namely, ‘first-person realism’, ‘non-solipsism’, ‘non-fragmentation’, and ‘one world’ – but that any three of the four claims are mutually consistent. So, theories of consciousness face a ‘quadrilemma’. Since it will be hard to achieve a consensus on which of the four claims to retain and which to give up, we arrive at a landscape of competing theories, all of which have pros (...) and cons. I will briefly indicate which kinds of theories correspond to the four horns of the quadrilemma. (shrink)

This article considers three views about which properties are genuine. According to the first view, we should look to successful commonsense and scientific explanations in determining which properties are genuine. On this view, predicates that figure in such explanations thereby pick out genuine properties. According to the second view, the only predicates that pick out genuine properties are those that figure in our best scientific explanations. On this view, predicates that figure in commonsense explanations pick out genuine properties only if (...) such explanations are vindicated by the sciences. According to the third view, the only genuine properties are the fundamental, microphysical ones. On this view, although there are “higher-level” predicates that figure in true commonsense and scientific explanations, there are no “higher-level” properties corresponding to such predicates. The article argues that the third view is superior to the others. (shrink)

In this paper, I develop an algorithmic impossible-worlds model of belief and knowledge that provides a middle ground between models that entail that everyone is logically omniscient and those that are compatible with even the most egregious kinds of logical incompetence. In outline, the model entails that an agent believes (knows) φ just in case she can easily (and correctly) compute that φ is true and thus has the capacity to make her actions depend on whether φ. The model thereby (...) captures the standard view that belief and knowledge ground are constitutively connected to dispositions to act. As I explain, the model improves upon standard algorithmic models developed by Parikh, Halpern, Moses, Vardi, and Duc, among other ways, by integrating them into an impossible-worlds framework. The model also avoids some important disadvantages of recent candidate middle-ground models based on dynamic epistemic logic or step logic, and it can subsume their most important advantages. (shrink)

In "Mathematical Truth", Paul Benacerraf articulated an epistemological problem for mathematical realism. His formulation of the problem relied on a causal theory of knowledge which is now widely rejected. But it is generally agreed that Benacerraf was onto a genuine problem for mathematical realism nevertheless. Hartry Field describes it as the problem of explaining the reliability of our mathematical beliefs, realistically construed. In this paper, I argue that the Benacerraf Problem cannot be made out. There simply is no intelligible problem (...) that satisfies all of the constraints which have been placed on the Benacerraf Problem. The point generalizes to all arguments with the structure of the Benacerraf Problem aimed at realism about a domain meeting certain conditions. Such arguments include so-called "Evolutionary Debunking Arguments" aimed at moral realism. I conclude with some suggestions about the relationship between the Benacerraf Problem and the Gettier Problem. (shrink)

Divers argued that there are modal truths which are inconvenient for the canonical Lewisian theory of modality. Noonan and Jago proposed an answer to the challenge, by invoking a duplicate interpretation of the modal truths. Here I present a slightly different kind of modal truths which would prove inconvenient even for a Lewisian who accepts Noonan and Jago’s proposal.

In the standard theory of deontic modals, ‘ought’ is understood as expressing a propositional operator. However, this view has been called into question by Almotahari and Rabern’s puzzle about deontic ‘ought’, according to which the ethical principle that one ought to be wronged by another person rather than wrong them is intuitively coherent but the standard theory makes it incoherent. In this paper, I take up Almotahari and Rabern’s challenge and offer a refinement of the standard theory to handle the (...) puzzle. I propose that ‘ought’ is evaluated relative to contextual parameters (e.g., Kratzer’s conversational backgrounds, Finlay and Snedegar’s alternative sets) and those contextual parameters are sensitive to agents as well as possible worlds. (shrink)

We commonly explain the distinctive prudential and moral status of persons in terms of our mental capacities. I draw from recent work to argue that the common explanation is incomplete. I then develop a new explanation: We are ethically important because we are the object of a pattern of self-concern. I argue that the view solves moral problems posed by permissive ontologies, such as the recent personite problem.

The aim of this paper is to describe and defend the moving spotlight theory of time. I characterise the moving spotlight theory as the conjunction of two theses: permanentism, the thesis that everything exists forever, and the A-theory, the thesis that there is an absolute, objective present time. I begin in Sect. 2 by clearing up some common misconceptions about the moving spotlight theory, focusing on the discussion of the theory in Sider. In doing so, I also fill-out the barebones (...) picture of the moving spotlight theory as the conjunction of permanentism and the A-theory. In Sect. 3 I show how moving spotlighters can avoid the two common objections to their view, the McTaggartian argument that the view is contradictory, and the epistemic argument that the view implies that we should believe we are not located at the present moment. I conclude that the moving spotlight theory does not deserve its current relative unpopularity. (shrink)

In most cases, we think that what settles what act it is right to perform is sensitive to what we take the facts about the world to be. But those facts include many controversial metaphysical claims about the world. I argue that depending on what metaphysical model we take to be correct, we will have very different views about what the right actions are. In particular, I argue that if a particular metaphysical model — the branching universe model — is (...) correct, then many of our ethical intuitions are false. We need to think carefully about the relation between ethical and metaphysical intuitions, and ethical and metaphysical theories. (shrink)

Benardete paradoxes involve a beginningless set each member of which satisfies some predicate just in case no earlier member satisfies it. Such paradoxes have been wielded on behalf of arguments for the impossibility of an infinite past. These arguments often deploy patchwork principles in support of their key linking premise. Here I argue that patchwork principles fail to justify this key premise.

The multiverse theodicy proposes to reconcile the existence of God and evil by supposing that God created all and only the creation-worthy universes and that some universes like ours are, despite their evils, creation-worthy. Drawing on work in population ethics, this paper develops a novel challenge to the multiverse theodicy. Roughly, the challenge contends that the axiological underpinnings of the multiverse theodicy harbor a ‘mere addition paradox’: the assumption that creating creation-worthy universes would always make the world better turns out (...) to have morally repugnant consequences akin to those of the assumption that adding worthwhile lives to a population would always make the overall welfare of the population better. Further, the challenge leverages this difficulty into an argument against God’s having created all and only the creation-worthy universes, and hence against the multiverse theodicy. Responses to this challenge are considered but found wanting, largely because of commitments of the multiverse theodicy that have no analogs in population ethics. (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 defends a view that falls somewhere between the two extremes of inflationary and deflationary accounts of holes, and it does so by rejecting the initial conceptualisation of holes in terms of absences. Once we move away from this conception, I argue, we can see that there are no special metaphysical problems associated with holes. Rather, whatever one’s preferred metaphysics of paradigm material objects, that account can equally be applied to holes. This means that like the deflationist, I am (...) entity monist: I reject the idea that there are any immaterial beings. On the other hand, like the inflationist I reject the idea that we should identify holes with parts or surfaces of paradigm objects. Like the inflationist, I hold that there exist entities in roughly the regions of space-time where pre-theoretically we would say there exist holes, and those entities are holes. Call this latter part of the view—that where the folk are apt to claim there is a hole, that hole has roughly the dimensions that the folk attribute to it—hole-instinctivism (the view that our instincts about hole location/dimension are roughly right). Ultimately I embrace hole conventionalism, a view that includes commitment to both entity monism and hole-instinctivism. According to hole conventionalism, holes are no more ontologically problematic than statues, nor are they of a fundamentally different ontological kind from statues. (shrink)

Building on the pioneer work of Lycan (1988, 1991a and b, 1994) and Yagisawa (1988), this paper aims to set out in a comprehensive way the case for the view that Lewis' analyses of modality in terms of quantification over worlds and counterparts fail to be genuinely reductive. This involves bringing together elements of the case which have hitherto remained unconnected, motivating some of those elements in new and more decisive ways, and bolstering them by considering a range of objections (...) that have been levelled against them (including recent ones by Stalnaker and Divers). The paper proceeds as follows. Section 1 introduces Lewis' analyses of de dicto and de re modality. Section 2 argues that, as deployed by Lewis, the notion of ‘world’ is modal in nature. This is because the analyses he proposes are extensionally adequate only if he takes ‘world’ to mean possible-as-opposed-to-impossible world. An important response to this charge is simply to deny that there are impossible worlds. Section 3 considers and rejects Lewis' argument for that claim, while section 4 argues that a prima facie case can be made for the claim that Lewis is in fact committed to the existence of impossible worlds. (shrink)

The Eleatic philosophers argued that it was impossible for anything to change, since that would require something to differ from itself. Although this line of reasoning is unpersuasive, it challenges us to provide an account of temporal predication, which is the focus of much recent work on change. This paper surveys various approaches to change and temporal predication and addresses related questions about identity, persistence, properties, time, tense, and temporal logic.