St. Thomas’s Third Way to prove the existence of God, “Of Possibility and Necessity” (ST 1, q.2, art. 3, response) is one of the most controverted passages in the entire Thomistic corpus. The central point of dispute is that if there were only possible beings, each at some time would cease to exist and, therefore, at some point in time nothing would exist, and because something cannot come from nothing, in such an eventuality, nothing would exist now—a reductio ad absurdum (...) conclusion. Therefore, at least one necessary being must exist. Generations of critics and defenders have contended over St. Thomas’s proof. This article argues that the principle of pros hen analogy is implicit in the Third Way and that once identified explains the ontological dependency of possible beings, as secondary analogates, on the first necessary being, as primary analogate. Thus, without the necessary being as primary analogate, possible beings simply could not exist. The fact that they do exist is evidence for the existence of the necessary being. St. Thomas makes synthesizes the principle of pros hen analogy, as found in Aristotle’s Metaphysics, with the Neoplatonic principle of participation. Aristotle develops pros hen analogy in contradistinction to univocal and equivocal predication as well as to genus in Metaphysics 4.2, 11.3, 12.3-5. Since Scotus and re-enforced by modern analytic logic, philosophers have almost universally regarded any kind of analogical predication as a sub-category of equivocal predication and, thus, implicitly occlude the possibility of considering pros hen analogy in their readings of the Third Way. Distinction of per se and per accidens infinite regress and of radical and natural contingency are also central to understanding the Third Way. While resolving apparent problems in the Third Way, the article also seeks to rehabilitate the doctrine of pros hen analogy as a basic principle in Thomistic and, indeed, Aristotelian metaphysics. (shrink)

Our purpose in this article is to identify and suggest resolution for two core problematics of grounded theory. First, while grounded theory provides transparency to one part of the conceptualization process, where codes emerge directly from the data, it provides no such systematic or transparent way for gaining insight into the conceptual relationships between discovered codes. Producing a grounded theory depends not only on the definition of conceptual pieces, but the delineation of a relationship between at least two of those (...) pieces. Second, the conceptualization process of grounded theory is done in hierarchical fashion, where individual codes emerge from the data but then are used to generate insight into more general concepts and thematic statements. But various works on grounded theory have failed to provide any systematic way of using data specific levels of scale (the codes) to gain insight into more macro levels of scale (concepts and themes). We offer fractal concept analysis as a means of resolving both of these issues. By using a logic structure generator, fractal concept analysis delineates self-similar conceptual frameworks at various levels of abstraction, yielding a method for linking concepts together within and between levels of scale encountered in the grounded theory coding and categorization process. We conclude that this fractal analytic technique can bolster the aims of grounded theory as a formalized and systematic process for generating theory from empirical data. (shrink)

Nick Bostrom’s recently patched ‘‘simulation argument’’ (Bostrom in Philos Q 53:243–255, 2003; Bos- trom and Kulczycki in Analysis 71:54–61, 2011) purports to demonstrate the probability that we ‘‘live’’ now in an ‘‘ancestor simulation’’—that is as a simulation of a period prior to that in which a civilization more advanced than our own—‘‘post-human’’—becomes able to simulate such a state of affairs as ours. As such simulations under consid- eration resemble ‘‘brains in vats’’ (BIVs) and may appear open to similar objections, the (...) paper begins by reviewing objections to BIV-type proposals, specifically those due a presumed mad envatter. In counter example, we explore the motivating rationale behind current work in the development of psychologically realistic social simula- tions. Further concerns about rendering human cognition in a computational medium are confronted through review of current dynamic systems models of cognitive agency. In these models, aspects of the human condition are repro- duced that may in other forms be considered incomputable, i.e., political voice, predictive planning, and consciousness. The paper then argues that simulations afford a unique potential to secure a post-human future, and may be nec- essary for a pre-post-human civilization like our own to achieve and to maintain a post-human situation. Long-s- tanding philosophical interest in tools of this nature for Aristotle’s ‘‘statesman’’ and more recently for E.O. Wilson in the 1990s is observed. Self-extinction-level threats from State and individual levels of organization are compared, and a likely dependence on large-scale psychologically realistic simulations to get past self-extinction-level threats is projected. In the end, Bostrom’s basic argument for the conviction that we exist now in a simulation is reaffirmed. (shrink)

Eliminativists sometimes invoke evolutionary debunking arguments against ordinary object beliefs, either to help them establish object skepticism or to soften the appeal of commonsense ontology. I argue that object debunkers face a self-defeat problem: their conclusion undermines the scientific support for one of their premises, because evolutionary biology depends on our object beliefs. Using work on reductionism and multiple realizability from the philosophy of science, I argue that it will not suffice for an eliminativist debunker to simply appeal to some (...) object-free surrogate theory of evolution that results from converting any scientific proposition about some object K into a proposition about simples arranged K-wise. In the process, I examine some hazards peculiar to eliminative reductions of scientific theories, and propose a trilemma for eliminativists who attempt to recoup generality for ontologically sparse reducing theories by appealing to pluralities of simples arranged K-wise. The paper is intended to define and develop the object debunker’s self-defeat problem for further study, and to clarify some of the ways sparse and abundant ontologies interact with scientific theory. (shrink)

Surveys the ideals of friendship in ancient Greco-Roman philosophy. The notion of the best friendship inevitably reflects the various conceptions of a good life.

Essentialism is widely regarded as a mistaken view of biological kinds, such as species. After recounting why (sections 2-3), we provide a brief survey of the chief responses to the “death of essentialism” in the philosophy of biology (section 4). We then develop one of these responses, the claim that biological kinds are homeostatic property clusters (sections 5-6) illustrating this view with several novel examples (section 7). Although this view was first expressed 20 years ago, and has received recent discussion (...) and critique, it remains underdeveloped and is often misrepresented by its critics (section 8). (shrink)

Later versions of Platonic ethics fit the frame of eudaimonism and specify a telos based on Theaetetus 176B and Timaeus 90A-D: 'likeness to god in so far as possible'. This paper examines the development of this idea from the middle Platonist Alcinous to the Neoplatonist Proclus. It examines the way in which Proclus makes this specification of human happiness a bit less "other worldy".

Perception solves computationally demanding problems at lightning fast speed. It recovers sophisticated representations of the world from degraded inputs, often in a matter of milliseconds. Any theory of perception must be able to explain how this is possible; in other words, it must be able to explain perception's computational tractability. One of the few attempts to move toward such an explanation has been the information encapsulation hypothesis, which posits that perception can be fast because it keeps computational costs low by (...) forgoing access to information stored in cognition. I argue that we have no compelling reason to believe that encapsulation explains (or even contributes to an explanation of) perceptual tractability, and much reason to doubt it. This is because there exist much deeper computational challenges for perception than information access, and these threaten to make the costs of access irrelevant. If this is right, it undermines a core computational motivation for encapsulation and sends us back to the drawing board for explanations of perceptual tractability. (shrink)

Plato's Tim. 90b1-c6 describes a pathway to the soul's salvation via the study of the heavens. This paper poses three questions about this theme in Platonism: 1. The epistemological question: How is the paradigmatic function of the visible heavenly bodies to be reconciled with various Platonic misgivings about the faculty of perception? 2. The metaphysical question: How can »assimilation« to the motions of bodies in the realm of Becoming provide for the salvation of souls when souls are »higher«- a mid-point (...) between Being and Becoming? 3. The psychological question: What can it mean for an incorporeal soul to utilise the motions of a body for an ethical and cognitive paradigm? And provides an account of how Proclus and some of his fellow Neoplatonists answered these questions. (shrink)

In the latter half of the twentieth century, philosophers of science have argued (implicitly and explicitly) that epistemically rational individuals might compose epistemically irrational groups and that, conversely, epistemically rational groups might be composed of epistemically irrational individuals. We call the conjunction of these two claims the Independence Thesis, as they together imply that methodological prescriptions for scientific communities and those for individual scientists might be logically independent of one another. We develop a formal model of scientific inquiry, define four (...) criteria for individual and group epistemic rationality, and then prove that the four definitions diverge, in the sense that individuals will be judged rational when groups are not and vice versa. We conclude by explaining implications of the inconsistency thesis for (i) descriptive history and sociology of science and (ii) normative prescriptions for scientific communities. (shrink)

In his commentary on Aristotle's Metaphysics, Alexander of Aphrodisias quotes from Aristotle's now-lost work On the Ideas -- his account of the arguments offered by Plato for the theory of Forms and his criticisms of those arguments. This paper considers one of these arguments, the Argument from Relatives (ta pros ti). It considers how Plato argued for Forms or Ideas such as the Large Itself, the Just Itself and so on and whether Plato supposed that there were Forms corresponding to (...) sortal terms like Man. (shrink)

Translation and commentary on the only surviving sustained work on Plato's Phaedrus from antiquity.

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)

Jim Joyce argues for two amendments to probabilism. The first is the doctrine that credences are rational, or not, in virtue of their accuracy or “closeness to the truth” (1998). The second is a shift from a numerically precise model of belief to an imprecise model represented by a set of probability functions (2010). We argue that both amendments cannot be satisfied simultaneously. To do so, we employ a (slightly-generalized) impossibility theorem of Seidenfeld, Schervish, and Kadane (2012), who show that (...) there is no strictly proper scoring rule for imprecise probabilities. -/- The question then is what should give way. Joyce, who is well aware of this no-go result, thinks that a quantifiability constraint on epistemic accuracy should be relaxed to accommodate imprecision. We argue instead that another Joycean assumption — called strict immodesty— should be rejected, and we prove a representation theorem that characterizes all “mildly” immodest measures of inaccuracy. (shrink)

Plato’s Phaedrus is a dialogue of journeys, a tale of transitions. It begins with Socrates’ question, ‘Where to and from whence, my dear Phaedrus?’ and concludes with the Socrates’ decision, ‘Let’s go’ (sc. back into the city from whence they’ve come). In the speech that forms its centre-piece Socrates narrates another famous journey—the descent of the soul into the body and its reascent to the realm of Forms through erotic madness. It is not too implausible to suppose that Plato himself (...) saw fit to relate his powerful images of the human soul’s fall and re-ascent by dramatic means that highlight the movement from one place to another. This explains how Hermias of Alexandria -- author of the longest sustained work on the Phaedrus to survive from antiquity related the physical journey to the Ilissus to the soul's descent and ascent. This seemingly implausible allegorising gains a certain kind of sense when we consider that the Neoplatonic commentary tradition formed part of a philosophic way of life with an ethical telos. (shrink)

‘Know-that’, like so many natural language expressions, exhibits patterns of use that provide evidence for its context-sensitivity. A popular family of views – call it prag- matic invariantism – attempts to explain the shifty patterns by appeal to a pragmatic thesis: while the semantic meaning of ‘know-that’ is stable across all contexts of use, sentences of the form ‘S knows [doesn’t know] that p’ can be used to communicate a pragmatic content that depends on the context of use. In this (...) paper, the author argues that pragmatic invariantism makes inaccurate predictions for a wide range of well- known use data and is committed to attributing systematic pragmatic error to ordinary speakers. But pragmatic error is unprecedented, and it is doubtful that speakers are systematically wrong about what they intend to communicate. (shrink)

In previous chapters, it has become clear that Proclus’ metaphysics is often relevant to human life. In this chapter, that relation is elaborated on in detail, starting from the notion of a ‘textual community’. In the first section, the author presents the Neoplatonic goal of human life, assimilation to the divine. In the second section, he elaborates the scale of virtues through which, according to Proclus, one may reach that assimilation. The third section is devoted to establishing the interesting hypothesis (...) that the philosophical curriculum was in fact considered a mystagogy, aimed at internalizing semantic associations and thereby acquiring the different virtues. In the last section the author turns to Proclus’ political philosophy, and specifically the analogical relation between the philosopher-ruler and the demiurge. (shrink)

It is widely supposed that Epicurus' identification of aponia (painlessness) and the absence of anxiety (ataraxia) yields as a consequence the claim that the most pleasant life is one that requires little in the way of resources or power. This paper argues that the remarks in Cicero which attempt to reconstruct Epicurus' reasons for thinking that aponia and ataraxia are the limit of pleasure are best interpreted if we suppose that the inference runs the other direction. Epicurus supposed that it (...) was a pre-theoretical constraint on any account of human happiness that it should be natural. Moreover, its naturalness means its in-principle availability to most humans. (shrink)

In this paper we look at two kinds of relations that give rise to reasons for action of a distinctive sort: friendship and erotic love. We argue that what is common to these different relations of affection is that the people in them exhibit dispositions toward mutual direction by one another and interpretation of one another (in a sense that we describe in detail below). This mutual responsiveness is, in part, a matter of responding to reasons that arise from the (...) relation of love or friendship. These reasons are frequently distinct from – and may be opposed to – normative reasons arising from prudence or even morality. Yet reasons of love are normative: they too may obligate us. They may make demands on us that conflict with our present desires and require considerable sacrifice. (shrink)

In the present volume Proclus describes the 'creation' of the soul that animates the entire universe. This is not a literal creation, for Proclus argues that Plato means only to convey the eternal dependence of the World Soul upon higher causes. In his exegesis of Plato's text, Proclus addresses a range of issues in Pythagorean harmonic theory, as well as questions about the way in which the World Soul knows both forms and the visible reality that comprises its body. This (...) part of Proclus' Commentary is particularly responsive to the interpretive tradition that precedes it. As a result, this volume is especially significant for the study of the Platonic tradition from the earliest commentators onwards. (shrink)

The commentary on Plato's Republic by Proclus (d. 485 CE), which takes the form of a series of essays, is the only sustained treatment of the dialogue to survive from antiquity. This three-volume edition presents the first complete English translation of Proclus' text, together with a general introduction that argues for the unity of Proclus' Commentary and orients the reader to the use which the Neoplatonists made of Plato's Republic in their educational program. Each volume is completed by a Greek (...) word index and an English-Greek glossary that will help non-specialists to track the occurrence of key terms throughout the translated text. The second volume of the edition presents Proclus' essays on the tripartite soul and the virtues, female philosopher rulers, and the metaphysics and epistemology of the central books of the Republic. The longest of the essays in Volume II interprets the nature and significance of the 'marriage number' whose miscalculation leads to the degeneration of the ideal city-state. (shrink)

In the present volume Proclus comments on the creation of the body of the universe in Plato's Timaeus.

Covers Essays 1 to 6 in Proclus' Commentary and includes a general introduction to the work as a whole.

How should we account for the contextual variability of knowledge claims? Many philosophers favour an invariantist account on which such contextual variability is due entirely to pragmatic factors, leaving no interesting context-sensitivity in the semantic meaning of ‘know that.’ I reject this invariantist division of labor by arguing that pragmatic invariantists have no principled account of embedded occurrences of ‘S knows/doesn’t know that p’: Occurrences embedded within larger linguistic constructions such as conditional sentences, attitude verbs, expressions of probability, comparatives, and (...) many others, I argue, give rise to a threefold problem of embedded implicatures. (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)

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)

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)

We consider two ways one might use algorithmic randomness to characterize a probabilistic law. The first is a generative chance* law. Such laws involve a nonstandard notion of chance. The second is a probabilistic* constraining law. Such laws impose relative frequency and randomness constraints that every physically possible world must satisfy. While each notion has virtues, we argue that the latter has advantages over the former. It supports a unified governing account of non-Humean laws and provides independently motivated solutions to (...) issues in the Humean best-system account. On both notions, we have a much tighter connection between probabilistic laws and their corresponding sets of possible worlds. Certain histories permitted by traditional probabilistic laws are ruled out as physically impossible. As a result, such laws avoid one variety of empirical underdetermination, but the approach reveals other varieties of underdetermination that are typically overlooked. (shrink)

Christian B. Miller has noted a “realism challenge” for virtue ethicists to provide an account of how the character gap between virtuous agents and non-virtuous agents can be bridged. This is precisely one of Han Feizi’s key criticisms against Confucian virtue ethics, as Eric L. Hutton argues, which also cuts across the Aristotelian one: appealing to virtuous agents as ethical models provides the wrong kind of guidance for the development of virtues. Hutton, however, without going into detail, notes that the (...) notion of rituals in the Confucian tradition may be able to sidestep Han Feizi’s criticism. In this essay, I wish to explore not only how the notion of rituals, alongside its corollaries in Xunzi’s Confucian program for ethical cultivation, indeed addresses Han Feizi’s criticism, but also observe that Aristotle’s tragic poetry plays functionally equivalent roles in his own understanding of ethical upbringing. I will begin by considering Han Feizi’s critique of ethical cultivation in virtue ethics as such and how it poses a specific problem for the acquisition of the ‘constitutive reasoning’ shared by Aristotle and Xunzi. I will then briefly note that this problem trades on the synthetic structure of human nature found in both Aristotle and Xunzi (the rational/irrational parts of the soul and the heartmind/five faculties), which grounds the way they understand ethical action and agency. Finally, I will suggest how both Aristotle and Xunzi understand the role of the arts in their extensive programme of ethical cultivation, allowing them to respond to Han Feizi’s attack as too narrow a construal of their respective ethical projects. It is hoped that, through this, we may gain a better sense of how more recent virtue ethicists may similarly draw on aesthetic resources for ethical development. (shrink)

Few notions are more central to Aquinas’s thought than those of matter and form. Although he invokes these notions in a number of different contexts, and puts them to a number of different uses, he always assumes that in their primary or basic sense they are correlative both with each other and with the notion of a “hylomorphic compound”—that is, a compound of matter (hyle) and form (morphe). Thus, matter is an entity that can have form, form is an entity (...) that can be had by matter, and a hylomorphic compound is an entity that exists when the potentiality of some matter to have form is actualized.1 What is more, Aquinas assumes that the matter of a hylomorphic compound explains certain of its general characteristics, whereas its form explains certain of its more specific characteristics. Thus, the matter of a bronze statue explains the fact that it is bronze, whereas its form explains the fact that it is a statue. Again, the matter of a human being explains the fact that it is a material object, whereas its form explains the specific type of material object it is (namely, human). My aim in this chapter is to provide a systematic introduction to Aquinas’s primary or basic notions of matter and form. To accomplish this aim, I focus on the two main theoretical contexts in which he deploys them—namely, his theory of change and his theory of individuation. In both contexts, as we shall see, Aquinas appeals to matter and form to account for relations of sameness and difference holding between distinct individuals. (shrink)

Proclus' commentary on Plato's dialogue Timaeus is arguably the most important commentary on a text of Plato, offering unparalleled insights into eight centuries of Platonic interpretation. It has had an enormous influence on subsequent Plato scholarship. This edition offers the first new English translation of the work for nearly two centuries, building on significant recent advances in scholarship on Neoplatonic commentators. It provides an invaluable record of early interpretations of Plato's dialogue, while also presenting Proclus' own views on the meaning (...) and significance of Platonic philosophy. The present volume, the fifth in the edition, presents Proclus' commentary on the Timaeus, dealing with Proclus' account of static and flowing time; we see Proclus situating Plato's account of the motions of the stars and planets in relation to the astronomical theories of his day. The volume includes a substantial introduction, as well as notes that will shed new light on the text. (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)

The author puts forward and defends a new argument for indirect realism called the argument from pain. The argument is akin to a well-known traditional argument to the same end, the argument from hallucination. Like the latter, it contains one premise stating an analogy between veridical perceptions and certain other states and one premise stating that those states are states of acquaintance with sense-data. The crucial difference is that the states that are said to be analogous to veridical perceptions are (...) pain-states instead of hallucinations. This difference makes the argument from pain immune to the standard objections against the argument from hallucination. (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)

We evaluate the asymptotic performance of boundedly-rational strategies in multi-armed bandit problems, where performance is measured in terms of the tendency (in the limit) to play optimal actions in either (i) isolation or (ii) networks of other learners. We show that, for many strategies commonly employed in economics, psychology, and machine learning, performance in isolation and performance in networks are essentially unrelated. Our results suggest that the appropriateness of various, common boundedly-rational strategies depends crucially upon the social context (if any) (...) in which such strategies are to be employed. (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.

We criticize the bare theory of quantum mechanics -- a theory on which the Schrödinger equation is universally valid, and standard way of thinking about superpositions is correct.

Epistemic decision theory (EDT) employs the mathematical tools of rational choice theory to justify epistemic norms, including probabilism, conditionalization, and the Principal Principle, among others. Practitioners of EDT endorse two theses: (1) epistemic value is distinct from subjective preference, and (2) belief and epistemic value can be numerically quantified. We argue the first thesis, which we call epistemic puritanism, undermines the second.

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)

A dynamical system is called chaotic if small changes to its initial conditions can create large changes in its behavior. By analogy, we call a dynamical system structurally chaotic if small changes to the equations describing the evolution of the system produce large changes in its behavior. Although there are many definitions of “chaos,” there are few mathematically precise candidate definitions of “structural chaos.” I propose a definition, and I explain two new theorems that show that a set of models (...) is structurally chaotic if it contains a chaotic function. I conclude by discussing the relationship between structural chaos and structural stability. (shrink)

We consider how an epistemic network might self-assemble from the ritualization of the individual decisions of simple heterogeneous agents. In such evolved social networks, inquirers may be significantly more successful than they could be investigating nature on their own. The evolved network may also dramatically lower the epistemic risk faced by even the most talented inquirers. We consider networks that self-assemble in the context of both perfect and imperfect communication and compare the behaviour of inquirers in each. This provides a (...) step in bringing together two new and developing research programs, the theory of self-assembling games and the theory of network epistemology. (shrink)

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)

“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)

Obsessive-compulsive disorder is a commonly occurring neuropsychiatric condition characterized by bothersome intrusive thoughts and urges that frequently lead to repetitive dysfunctional behaviours such as excessive handwashing. There are well-documented alterations in cerebral function which appear to be closely related to the manifestation of these symptoms. Controlled studies of cognitive-behavioural therapy techniques utilizing the active refocusing of attention away from the intrusive phenomena of OCD and onto adaptive alternative activities have demonstrated both significant improvements in clinical symptoms and systematic changes in (...) the pathological brain circuitry associated with them. Careful investigation of the relationships between the experiential and putative neurophysiological processes involved in these changes can offer useful insights into volitional aspects of cerebral function. (shrink)

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)

The Platonic dialogues contain passages that seem to point in quite opposite directions on the question of the moral equality of women with men. Rep. V defends the view that sexual difference need not be relevant to a person’s capacity for philosophy and thus for virtue. Tim. 42a-c, however, makes incarnation in a female body a punishment for failure to master the challenges of embodiment. This paper examines the different ways in which two subsequent Platonists, Proclus (d. 485 CE) and (...) Theodore of Asine (d. c. 360 CE), dealt with this tension. (shrink)