We compare the definition of virtue in philosophy with the definition and operationalization of virtue in psychology. We articulate characteristics that virtue is presented as possessing in the perennial western philosophical tradition. Virtues are typically understood as (a) dispositional (b) deep-seated (c) habits (d) that contribute to flourishing and (e) that produce activities with the following three features: they are (f) done well, (g) not done poorly, and (h) in accordance with the right motivation and reason. We form a definition (...) from these characteristics and defend our exclusion of some other characteristics from the definition. Using our definition as a rubric, we evaluate conceptions of virtue in psychology, showing how many fall short at operationalizing at least one component of the philosophical notion of virtue. (shrink)

Direct neurological and especially imaging-driven investigations into the structures essential to naturally occurring cognitive systems in their development and operation have motivated broadening interest in the potential for artificial consciousness modeled on these systems. This first paper in a series of three begins with a brief review of Boltuc’s (2009) “brain-based” thesis on the prospect of artificial consciousness, focusing on his formulation of h-consciousness. We then explore some of the implications of brain research on the structure of consciousness, finding limitations (...) in biological approaches to the study of consciousness. Looking past these limitations, we introduce research in artificial consciousness designed to test for the emergence of consciousness, a phenomenon beyond the purview of the study of existing biological systems. (shrink)

The desirability of what actually occurs is often influenced by what could have been. Preferences based on such value dependencies between actual and counterfactual outcomes generate a class of problems for orthodox decision theory, the best-known perhaps being the so-called Allais Paradox. In this paper we solve these problems by extending Richard Jeffrey's decision theory to counterfactual prospects, using a multidimensional possible-world semantics for conditionals, and showing that preferences that are sensitive to counterfactual considerations can still be desirability maximising. (...) We end the paper by investigating the conditions necessary and sufficient for a desirability function to be an expected utility. It turns out that the additional conditions imply highly implausible epistemic principles. (shrink)

It is widely agreed by philosophers that the so-called “Frege-Russell definition of natural number” is actually an assertion concerning the nature of the numbers and that it cannot be regarded as a definition in the ordinary mathematical sense. On the basis of the reasoning in this paper it is clear that the Frege-Russell definition contradicts the following three principles (taken together): (1) each number is the same entity in each possible world, (2) each number exists in each possible world, (3) (...) some entities existing in the actual world do not exist in every possible world. Since these principles seem to be true, the paper is a refutation of the Frege-Russell definition. The paper does more. It shows that the contradictory of the Frege-Russell definition follows even when principles 2 and 3 are replaced by one considerably weaker principle. The ideas contained in the paper are related to two earlier objections to the definition. The first, sometimes attributed to the mathematician, C. S. Keyser, is that existence of the numbers as defined implies the existence of infinitely many particulars in each possible world. The second is, in effect, an idea which is said to have led Whitehead to reject the definition of number to which he had subscribed in Principia Mathematica. Whitehead is supposed to have said that he could not believe that the number two changes every “time twins are born”. The mathematician H. Jeffreys expressed similar ideas [Philos. of Sci. 5 (1938), 434–451]. One of the merits of the author’s work is that it refutes the Frege-Russell definition without the need to take sides on controversial points presupposed by the Keyser and Whitehead objections. The objections made by the author are therefore not to be identified with the Keyser and Whitehead objections. Even if the author’s work is to be regarded as a refinement and integration of previous ideas, it is nevertheless a contribution—not only because the basic points are well worth repeating but also because the refinements are logically significant improvements and because the author has stated them clearly and concisely in the idiom of contemporary philosophy. (shrink)

John P. Burgess is the John N. Woodhull Professor of Philosophy at Princeton University. He obtained his Ph.D. from the Logic and Methodology program at the University of California at Berkeley under the supervision of Jack H. Silver with a thesis on descriptive set theory. He is a very distinguished and influential philosopher of mathematics. He has written several books: A Subject with No Object (with G. Rosen, Oxford University Press, 1997), Computability and Logic (with G. Boolos and R. (...) class='Hi'>Jeffrey, 5th ed., Cambridge University Press, 2007), Fixing Frege (Princeton University Press, 2005), Mathematics, Models, and Modality (Cambridge University Press, 2007), Philosophical Logic (Princeton University Press, 2009), Truth (with A. G. Burgess, Princeton University Press, 2011), Saul Kripke: Puzzles & Mysteries (Polity Press, 2012), Rigor & Structure (Oxford University Press, 2015), and Set Theory (Cambridge Elements, Forthcoming). In this interview, Professor Burgess talks about how his interests in mathematics and philosophy developed and relate to each other. He then answers questions about specific themes of his philosophical work, with a focus on issues pertaining to philosophy of mathematics. (shrink)

Crupi et al. propose a generalization of Bayesian confirmation theory that they claim to adequately deal with confirmation by uncertain evidence. Consider a series of points of time t0, . . . , ti, . . . , tn such that the agent’s subjective probability for an atomic proposition E changes from Pr0 at t0 to . . . to Pri at ti to . . . to Prn at tn. It is understood that the agent’s subjective probabilities change for (...) E and no logically stronger proposition, and that the agent updates her subjective probabilities by Jeffrey conditionalization. For this specific scenario the authors propose to take the difference between Pr0 and Pri as the degree to which E confirms H for the agent at time ti , C0,i. This proposal is claimed to be adequate, because. (shrink)

Constitutivists seek to locate the metaphysical foundations of ethics in nonnormative facts about what is constitutive of agency. For most constitutivists, this involves grounding authoritative norms in the teleological structure of agency. Despite a recent surge in interest, the philosophical move at the heart of this sort of constitutivism remains underdeveloped. Some constitutivists—Foot, Thomson, and Korsgaard (at least in her recent *Self-Constitution*)—adopt a broadly Aristotelian approach. They claim that the functional nature of agency grounds normative judgments about agents in much (...) the same way that the functional natures of artifacts and bodily organs ground normative judgments about those kinds of things. I argue that the neo-Aristotelian conclusions about goodness which follow so straightforwardly from teleological premises are not genuinely normative. Functions are not by their very nature normatively significant. Other constitutivists—notably J. David Velleman and Paul Katsafanas—eschew Aristotelian talk of functions in favor of an approach based on the idea that agency has a constitutive aim. Velleman and Katsafanas both claim that aims are normatively significant. I argue that the fact that agency has a constitutive aim is merely a fact about the motives that produce and regulate actions. And so we are still left with a gap between the teleological and the normative. I conclude by suggesting that constitutivists have failed to find a way to bridge this gap not because none exists, but rather because they have been looking in the wrong place. The constitutivist project can be salvaged, but only if it is supplemented with a reductive metanormative account of reasons for action, an account that links reasons to sound or successful practical reasoning. (shrink)

How is practical reasoning related to ethical reasoning? The most common view is that they are identical: practical reasoning just is ethical reasoning. I criticize this view and then propose an alternative account of the relation between ethical thought and practical thought: ethical reasoning is reasoning about sound practical reasoning. I argue that this account of the relation between ethics and practical reasoning explains various phenomena that more familiar views leave unexplained. It also entails that the philosophy of action bears (...) heavily on ethical inquiry. (shrink)

Many of the most important social institutions—e.g., law and language—are thought to be normative in some sense. And philosophers have been puzzled by how this normativity can be explained in terms of the social, descriptive states of affairs that presumably constitute them. This paper attempts to solve this sort of puzzle by considering a simpler and less contentious normative social practice: table manners. Once we are clear on the exact sense in which a practice is normative, we see that some (...) practices can be normative in an interesting and non-trivial sense, but also explicable with merely descriptive resources. In addition to arguing that it is possible to explain normative practices with descriptive resources, this paper presents and defends just such an explanation—an account of the nature of table manners that appeals only to descriptive states of affairs. (shrink)

When we make ethical claims, we invoke a kind of objective authority. A familiar worry about our ethical practices is that this invocation of authority involves a mistake. This worry was perhaps best captured by John Mackie, who argued that the fabric of the world contains nothing so queer as objective authority and thus that all our ethical claims are false. Kantians such as Christine Korsgaard and David Velleman offer accounts of the objectivity of ethics that do without the controversial (...) realist assumptions which gives rise to Mackie’s skepticism. They contend that our ethical claims correctly invoke objective authority not by corresponding to some normative pocket of the fabric of reality, but rather by expressing commitments that are inescapable. This Kantian strategy is often advertised as an alternative to traditional but “boring” metaethics. Its proponents promise to vindicate our ethical practices without entangling us in familiar metanormative disputes about the metaphysics, epistemology and semantics of ethics. In this paper, I argue that the Kantian strategy cannot make good on this promise. Considered as an attempt to sidestep traditional metaethics, it lacks the resources to produce the desired normative conclusions. The outlook for the Kantian strategy becomes more promising, though, if we pair it with one of two familiar metanormative theories: expressivism or reductionism. The resulting metaethically-loaded versions of the Kantian strategy can deliver the promised conclusions, but only by plunging straight into the quagmire of traditional metaethics. And there all of the familiar objections to expressivism and reductionism await. (shrink)

Many philosophers believe that Robert Nozick's experience machine argument poses an insurmountable obstacle to hedonism as a theory of well-being. After an initial attempt to demonstrate that the persuasiveness of this argument rests on a key ambiguity, I argue that the intuitions to which the thought experiment appeals are not nearly as clear as many philosophers suppose they are. I believe that a careful consideration of the origin of those intuitions -- especially in light of the so-called "paradox of hedonism" (...) -- reveals that they can, in fact, fit quite comfortably into a hedonistic theory of well-being. (shrink)

Constitutive reflexivity, stories, and personal narrative were used to interpret leisure experience and provide insights for understanding leisure identity. I present a personal narrative of an annual canoe camping trip on a forested backcountry river. Stories are told in first person by the author about his trip of twenty years on a river with a small group of men. The author illustrates how personal narrative allows opportunities for understanding and interpreting meanings and changing leisure identities. The confluence of narrative, identity, (...) and leisure experience is illustrated and discussed. The purpose is to bring the writer/researcher into the qualitative project as a subject and actor in the story and show how leisure identity images are created and affirmed through time. (shrink)

On a certain reading, the respective theories of Freud and Nietzsche might be described as exploring the suffered relational histories of the subject, who is driven by need; these histories might also be understood as histories of language. This suggests a view of language as a complicated mode of identifying-with, which obliges linguistic subjects to identify the non-identical, but also enables them to simultaneously identify with each other in the psychoanalytic sense. This ambivalent space of psychoanalytic identification would be conditioned (...) by relational histories. On one hand, this might lead to conformity within a system of language as a shared, obligatory compromise formation that would defend against the non-identical; magical language, typified in Freud’s critique of animism and in Nietzsche’s critique of “free will” guided by absolute normative signifiers (“Good” and “Evil”), would be symptomatic of this sort of defense. On the other hand, given other relational histories, it may produce the possibility for more transitional modes of identification, and thereby modes of language that can bear its suffered histories, and lead to proliferation of singular compromise formations. It is suggested that while the former is historically dominant, Nietzsche and various psychoanalytic thinkers contribute to conceiving of the possibility of working ourselves towards the latter. (shrink)

Could space consist entirely of extended regions, without any regions shaped like points, lines, or surfaces? Peter Forrest and Frank Arntzenius have independently raised a paradox of size for space like this, drawing on a construction of Cantor’s. I present a new version of this argument and explore possible lines of response.

Nietzsche, Nihilism and the Philosophy of the Future examines Nietzsche's analysis of and response to contemporary nihilism, the sense that nothing has value or ...

Both Philip and Andrew are philosophy students whose interests converge around the philosophy of technology broadly understood. Philip's interest is specifically aimed toward the ethics of Transhumanism and depictions of Transhumanism in works of fiction. On the other hand, Andrew finds himself more focused on religious behavior in the technological world. While the two perspectives might not seem that close, there is certain to be an overlap in Andrew and Philip's shared understanding of how technological phenomena play a crucial role (...) concerning religion and society. (shrink)

Constitutivists hope to locate the foundations of ethics in the nature of action. They hope to find norms that are constitutive of agency. Recently David Enoch has argued that even if there are such norms, they cannot provide the last word when it comes to normativity, since they cannot tell us whether we have reason to be agents rather than shmagents. I argue that the force of the shmagency objection has been considerably overestimated, because philosophers on both sides of the (...) debate have failed to grasp the true source of the authority of agency’s constitutive norm. Some constitutivists believe that this authority is rooted in the inescapability of agency. Yet agency is not, in fact, inescapable. What actually grounds the authority of agency’s constitutive norm is the fact that there is no standpoint outside of agency from which we can intelligibly ask normative questions. (shrink)

In "Pascal's Mugging" (Bostrom 2009), Pascal gives away his wallet for an extremely tiny chance of an extremely large reward. In this continuation of Bostrom's story, Pascal's friend counsels him to take into account the possibility of making mistakes about his true expected utilities, and they consider to what extent this will help Pascal make plans to avoid future muggings.

Reasons are considerations that figure in sound reasoning. This is considered by many philosophers to be little more than a platitude. I argue that it actually has surprising and far-reaching metanormative implications. The view that reasons are linked to sound reasoning seems platitudinous only because we tend to assume that soundness is a normative property, in which case the view merely relates one normative phenomenon (reasons) to another (soundness). I argue that soundness is also a descriptive phenomenon, one we can (...) pick out with purely descriptive terms, and that the connection between normative reasons and sound reasoning therefore provides the basis for a reductive account of reasons. Like all proposed reductions, this one must confront some version of G. E. Moore’s open question argument. I argue that a reductive view rooted in the idea that reasons figure in sound reasoning is well-equipped to meet the open question challenge head on. (shrink)

The comprehension of anaphoric relations may be guided not only by discourse, but also syntactic information. In the literature on online processing, however, the focus has been on audible pronouns and descriptions whose reference is resolved mainly on the former. This paper examines one relation that both lacks overt exponence, and relies almost exclusively on syntax for its resolution: adjunct control, or the dependency between the null subject of a non-finite adjunct and its antecedent in sentences such as Mickey talked (...) to Minnie before ___ eating. Using visual world eyetracking, we compare the time course of interpreting this null subject and overt pronouns (Mickey talked to Minnie before he ate). We show that when control structures are highly frequent, listeners are just as quick to resolve reference in either case. When control structures are less frequent, reference resolution based on structural information still occurs upon hearing the non-finite verb, but more slowly, especially when unaided by structural and referential predictions. This may be due to increased difficulty in recognizing that a referential dependency is necessary. These results indicate that in at least some contexts, referential expressions whose resolution depends on very different sources of information can be resolved approximately equally rapidly, and that the speed of interpretation is largely independent of whether or not the dependency is cued by an overt referring expression. (shrink)

Signing Ceremony of MOU on Professional Legal Diploma, Government of Dubai 2020.

Should we make significant sacrifices to ever-so-slightly lower the chance of extremely bad outcomes, or to ever-so-slightly raise the chance of extremely good outcomes? *Fanaticism* says yes: for every bad outcome, there is a tiny chance of extreme disaster that is even worse, and for every good outcome, there is a tiny chance of an enormous good that is even better. I consider two related recent arguments for Fanaticism: Beckstead and Thomas's argument from *strange dependence on space and time*, and (...) Wilkinson's *Indology* argument. While both arguments are instructive, neither is persuasive. In fact, the general principles that underwrite the arguments (a *separability* principle in the first case, and a *reflection* principle in the second) are *inconsistent* with Fanaticism. In both cases, though, it is possible to rehabilitate arguments for Fanaticism based on restricted versions of those principles. The situation is unstable: plausible general principles tell *against* Fanaticism, but restrictions of those same principles (with strengthened auxiliary assumptions) *support* Fanaticism. All of the consistent views that emerge are very strange. (shrink)

Natural resource management agencies in the United States have a legal responsibility to represent Indigenous Peoples and federally recognized Tribes in environmental stewardship. This comment article is a call to action that argues for genuine representation of Tribes and other Indigenous Peoples through adherence to existing, formal consultation policies and coproduction of knowledge. Agencies must recognize and respect the differences between public involvement and government-to-government consultation with federally-recognized Tribes. Sovereign tribal nations are not the public and have a unique relationship (...) with federal agencies based in the federal trust responsibility. Coproduction of knowledge is an emerging enterprise that has potential for meaningfully engaging and genuinely and equitably representing Indigenous Peoples and Tribes and should be codeveloped and implemented as policy. Agencies should build capacity to properly represent tribal nations in decisions. Agency employees and Indigenous Peoples must spend more time together to increase cultural awareness and build meaningful relationships to facilitate genuine consultation and coproduction of knowledge. (shrink)

Rather than assume—based on the contents of the Nachlass—that the Eternal Recurrence, in its initial formulation, coheres with the later theoretico-metaphysical sense (i.e., sharing abstract space with the Will to Power) I propose the inverse (contrary to Heidegger, Deleuze, and Nehamas (whose Proustian exegesis (Nietzsche: Life as Literature) I’m obliged to radically extend)); namely, that the rotary cosmology of recurrence, as a literal proposition, is a consequence of the poetic sense of the earlier parable (GS)–which, I find, ultimately prefigures the (...) design of his own virulent relapse into theoria (WP). (shrink)

Mark Schroeder has recently presented apparent counterexamples to the standard account of the distinction between the right and the wrong kinds of reasons. We argue that these examples appear to refute the standard account only because they blur the distinction between two kinds of reasoning: reasoning about whether to intend or believe that p and reasoning about whether to take up the question of whether to intend or believe that p.

Romantic psychology is first specified in counter-distinction to Enlightenment-informed faculty-psychology, whose scientific paradigm is fundamentally materialistic and mechanistic. Romantic psychology is then presented through Fr. Schlegel’s theory and practice of the literary fragment. In the fragment, we discover selfhood that is self-positing, powered by electro-chemical forces and enlivened by the stimulating Other. Romantic psychology determines the self as an ironic system, complete and yet organically open to other selves. It is phenomenological in nature and its contemporary legacy can be found (...) in psychoanalysis and psychoanalytical hermeneutics. (shrink)

People with the kind of preferences that give rise to the St. Petersburg paradox are problematic---but not because there is anything wrong with infinite utilities. Rather, such people cannot assign the St. Petersburg gamble any value that any kind of outcome could possibly have. Their preferences also violate an infinitary generalization of Savage's Sure Thing Principle, which we call the *Countable Sure Thing Principle*, as well as an infinitary generalization of von Neumann and Morgenstern's Independence axiom, which we call *Countable (...) Independence*. In violating these principles, they display foibles like those of people who deviate from standard expected utility theory in more mundane cases: they choose dominated strategies, pay to avoid information, and reject expert advice. We precisely characterize the preference relations that satisfy Countable Independence in several equivalent ways: a structural constraint on preferences, a representation theorem, and the principle we began with, that every prospect has a value that some outcome could have. (shrink)

How should a group with different opinions (but the same values) make decisions? In a Bayesian setting, the natural question is how to aggregate credences: how to use a single credence function to naturally represent a collection of different credence functions. An extension of the standard Dutch-book arguments that apply to individual decision-makers recommends that group credences should be updated by conditionalization. This imposes a constraint on what aggregation rules can be like. Taking conditionalization as a basic constraint, we gather (...) lessons from the established work on credence aggregation, and extend this work with two new impossibility results. We then explore contrasting features of two kinds of rules that satisfy the constraints we articulate: one kind uses fixed prior credences, and the other uses geometric averaging, as opposed to arithmetic averaging. We also prove a new characterisation result for geometric averaging. Finally we consider applications to neighboring philosophical issues, including the epistemology of disagreement. (shrink)

I gave the name “R theory of time " to the Buddhist philosophy of time in my 2005 article in The 'Indian International Journal of Buddhist Studies because after studying the currently discussed non Buddhist philosophies of time that have been offered to us by many physicists and analytic philosophers, I found that they seemed to not agree as much as I thought theories of time should with the findings of quantum physicists. Rather, the non Buddhist philosophies of time seemed (...) to only be in agreement with relativistic physics, but not at all in agreement with quantum physics. But on the other hand, it seemed to me that the Buddhist philosophy of time agreed best with quantum theory, and thus I published an article about the Buddhist philosophy of time in order to try to show why. (shrink)

The Epistemic Objection says that certain theories of time imply that it is impossible to know which time is absolutely present. Standard presentations of the Epistemic Objection are elliptical—and some of the most natural premises one might fill in to complete the argument end up leading to radical skepticism. But there is a way of filling in the details which avoids this problem, using epistemic safety. The new version has two interesting upshots. First, while Ross Cameron alleges that the Epistemic (...) Objection applies to presentism as much as to theories like the growing block, the safety version does not overgeneralize this way. Second, the Epistemic Objection does generalize in a different, overlooked way. The safety objection is a serious problem for a widely held combination of views: “propositional temporalism” together with “metaphysical eternalism”. (shrink)

Decision theorists widely accept a stochastic dominance principle: roughly, if a risky prospect A is at least as probable as another prospect B to result in something at least as good, then A is at least as good as B. Recently, philosophers have applied this principle even in contexts where the values of possible outcomes do not have the structure of the real numbers: this includes cases of incommensurable values and cases of infinite values. But in these contexts the usual (...) formulation of stochastic dominance is wrong. We show this with several counterexamples. Still, the motivating idea behind stochastic dominance is a good one: it is supposed to provide a way of applying dominance reasoning in the stochastic context of probability distributions. We give two new formulations of stochastic dominance that are more faithful to this guiding idea, and prove that they are equivalent. (shrink)

Famous results by David Lewis show that plausible-sounding constraints on the probabilities of conditionals or evaluative claims lead to unacceptable results, by standard probabilistic reasoning. Existing presentations of these results rely on stronger assumptions than they really need. When we strip these arguments down to a minimal core, we can see both how certain replies miss the mark, and also how to devise parallel arguments for other domains, including epistemic “might,” probability claims, claims about comparative value, and so on. A (...) popular reply to Lewis's results is to claim that conditional claims, or claims about subjective value, lack truth conditions. For this strategy to have a chance of success, it needs to give up basic structural principles about how epistemic states can be updated—in a way that is strikingly parallel to the commitments of the project of dynamic semantics. (shrink)

I examine three ‘anti-object’ metaphysical views: nihilism, generalism, and anti-quantificationalism. After setting aside nihilism, I argue that generalists should be anti-quantificationalists. Along the way, I attempt to articulate what a ‘metaphysically perspicuous’ language might even be.

David Lewis holds that a single possible world can provide more than one way things could be. But what are possible worlds good for if they come apart from ways things could be? We can make sense of this if we go in for a metaphysical understanding of what the world is. The world does not include everything that is the case—only the genuine facts. Understood this way, Lewis's “cheap haecceitism” amounts to a kind of metaphysical anti-haecceitism: it says there (...) aren't any genuine facts about individuals over and above their qualitative roles. (shrink)

We are agents: we can deliberate about what to do, and then act on the basis of that deliberation. We are also capable of normative self-governance: we can identify and respond to reasons as reasons. Many theorists believe that these two capacities are intimately connected. On the basis of this connection they conclude that practical reasoning must be carried out under the guise of a justification. This paper explores two strategies for avoiding that conclusion. The first, which just denies the (...) connection between agency and normative self-governance, is rejected as too costly, since it leaves the normative significance of agency unexplained. The second, which suggests that we can respond to a consideration as a reason without representing it as a reason, seems more promising, but it requires a reductive account of reasons for action. The upshot is that metaethics and action theory are entwined in ways that few have recognized. (shrink)

A social planner who evaluates risky public policies in light of the other risks with which their society will be faced should judge favourably some such policies even though they would deem them too risky when considered in isolation. I suggest that a longtermist would—or at least should—evaluate risky polices in light of their prediction about future risks; hence, longtermism supports social risk-taking. I consider two formal versions of this argument, discuss the conditions needed for the argument to be valid, (...) and briefly compare these conditions to some risky policy options with which actual public decision-makers are faced. (shrink)

“There are no gaps in logical space,” David Lewis writes, giving voice to sentiment shared by many philosophers. But different natural ways of trying to make this sentiment precise turn out to conflict with one another. One is a *pattern* idea: “Any pattern of instantiation is metaphysically possible.” Another is a *cut and paste* idea: “For any objects in any worlds, there exists a world that contains any number of duplicates of all of those objects.” We use resources from model (...) theory to show the inconsistency of certain packages of combinatorial principles and the consistency of others. (shrink)

The counterpart theorist has a problem: there is no obvious way to understand talk about actuality in terms of counterparts. Fara and Williamson have charged that this obstacle cannot be overcome. Here I defend the counterpart theorist by offering systematic interpretations of a quantified modal language that includes an actuality operator. Centrally, I disentangle the counterpart relation from a related notion, a ‘representation relation’. The relation of possible things to the actual things they represent is variable, and an adequate account (...) of modal language must keep track of the way it is systematically shifted by modal operators. I apply my account to resolve several puzzles about counterparts and actuality. In technical appendices, I prove some important logical results about this ‘representational’ counterpart system and its relationship to other modal systems. (shrink)

We prove a representation theorem for preference relations over countably infinite lotteries that satisfy a generalized form of the Independence axiom, without assuming Continuity. The representing space consists of lexicographically ordered transfinite sequences of bounded real numbers. This result is generalized to preference orders on abstract superconvex spaces.

Suppose that all non-qualitative facts are grounded in qualitative facts. I argue that this view naturally comes with a picture in which trans-world identity is indeterminate. But this in turn leads to either pervasive indeterminacy in the non-qualitative, or else contingency in what facts about modality and possible worlds are determinate.

The existence of mereological sums can be derived from an abstraction principle in a way analogous to numbers. I draw lessons for the thesis that “composition is innocent” from neo-Fregeanism in the philosophy of mathematics.

There is a traditional theistic doctrine, known as the doctrine of divine simplicity, according to which God is an absolutely simple being, completely devoid of any metaphysical complexity. On the standard understanding of this doctrine—as epitomized in the work of philosophers such as Augustine, Anselm, and Aquinas—there are no distinctions to be drawn between God and his nature, goodness, power, or wisdom. On the contrary, God is identical with each of these things, along with anything else that can be predicated (...) of him intrinsically. (shrink)

According to the doctrine of divine simplicity, God is an absolutely simple being lacking any distinct metaphysical parts, properties, or constituents. Although this doctrine was once an essential part of traditional philosophical theology, it is now widely rejected as incoherent. In this paper, I develop an interpretation of the doctrine designed to resolve contemporary concerns about its coherence, as well as to show precisely what is required to make sense of divine simplicity.

That believing truly as a matter of luck does not generally constitute knowing has become epistemic commonplace. Accounts of knowledge incorporating this anti-luck idea frequently rely on one or another of a safety or sensitivity condition. Sensitivity-based accounts of knowledge have a well-known problem with necessary truths, to wit, that any believed necessary truth trivially counts as knowledge on such accounts. In this paper, we argue that safety-based accounts similarly trivialize knowledge of necessary truths and that two ways of responding (...) to this problem for safety, issuing from work by Williamson and Pritchard, are of dubious success. (shrink)

Some hold that the lesson of Russell’s paradox and its relatives is that mathematical reality does not form a ‘definite totality’ but rather is ‘indefinitely extensible’. There can always be more sets than there ever are. I argue that certain contact puzzles are analogous to Russell’s paradox this way: they similarly motivate a vision of physical reality as iteratively generated. In this picture, the divisions of the continuum into smaller parts are ‘potential’ rather than ‘actual’. Besides the intrinsic interest of (...) this metaphysical picture, it has important consequences for the debate over absolute generality. It is often thought that ‘indefinite extensibility’ arguments at best make trouble for mathematical platonists; but the contact arguments show that nominalists face the same kind of difficulty, if they recognize even the metaphysical possibility of the picture I sketch. (shrink)

Some philosophers respond to Leibniz’s “shift” argument against absolute space by appealing to antihaecceitism about possible worlds, using David Lewis’s counterpart theory. But separated from Lewis’s distinctive system, it is difficult to understand what this doctrine amounts to or how it bears on the Leibnizian argument. In fact, the best way of making sense of the relevant kind of antihaecceitism concedes the main point of the Leibnizian argument, pressing us to consider alternative spatiotemporal metaphysics.

Some contextually sensitive expressions are such that their context independent conventional meanings need to be in some way supplemented in context for the expressions to secure semantic values in those contexts. As we’ll see, it is not clear that there is a paradigm here, but ‘he’ used demonstratively is a clear example of such an expression. Call expressions of this sort supplementives in order to highlight the fact that their context independent meanings need to be supplemented in context for them (...) to have semantic values relative to the context. Many philosophers and linguists think that there is a lot of contextual sensitivity in natural language that goes well beyond the pure indexicals and supplementives like ‘he’. Constructions/expressions that are good candidates for being contextually sensitive include: quantifiers, gradable adjectives including “predicates of personal taste”, modals, conditionals, possessives and relational expressions taking implicit arguments. It would appear that in none of these cases does the expression/construction in question have a context independent meaning that when placed in context suffices to secure a semantic value for the expression/construction in the context. In each case, some sort of supplementation is required to do this. Hence, all these expressions are supplementives in my sense. For a given supplementive, the question arises as to what the mechanism is for supplementing its conventional meanings in context so as to secure a semantic value for it in context. That is, what form does the supplementation take? The question also arises as to whether different supplementives require different kinds of supplementation. Let us call an account of what, in addition to its conventional meaning, secures a semantic value for a supplementive in context a metasemantics for that supplementive. So we can put our two questions thus: what is the proper metasemantics for a given supplementive; and do all supplementives have the same metasemantics? In the present work, I sketch the metasemantics I formulated for demonstratives in earlier work. Next, I briefly consider a number of other supplementives that I think the metasemantics I propose plausibly applies to and explain why I think that. Finally, I consider the prospects for extending the account to all supplementives. In so doing, I take up arguments due to Michael Glanzberg to the effect that supplementives are governed by two different metasemantics and attempt to respond to them. (shrink)