We introduce a fairness criterion that we call Spanning. Spanning i) is implied by Calibration, ii) retains interesting properties of Calibration that some other ways of relaxing that criterion do not, and iii) unlike Calibration and other prominent ways of weakening it, is consistent with Equalized Odds outside of trivial cases.

For two ideally rational agents, does learning a finite amount of shared evidence necessitate agreement? No. But does it at least guard against belief polarization, the case in which their opinions get further apart? No. OK, but are rational agents guaranteed to avoid polarization if they have access to an infinite, increasing stream of shared evidence? No.

This essay has two aims. The first is to correct an increasingly popular way of misunderstanding Belot's Orgulity Argument. The Orgulity Argument charges Bayesianism with defect as a normative epistemology. For concreteness, our argument focuses on Cisewski et al.'s recent rejoinder to Belot. The conditions that underwrite their version of the argument are too strong and Belot does not endorse them on our reading. A more compelling version of the Orgulity Argument than Cisewski et al. present is available, however---a point (...) that we make by drawing an analogy with de Finetti's argument against mandating countable additivity. Having presented the best version of the Orgulity Argument, our second aim is to develop a reply to it. We extend Elga's idea of appealing to finitely additive probability to show that the challenge posed by the Orgulity Argument can be met. (shrink)

We provide counterexamples to some purported characterizations of dilation due to Pedersen and Wheeler :1305–1342, 2014, ISIPTA ’15: Proceedings of the 9th international symposium on imprecise probability: theories and applications, 2015).

Multiple concepts of nature are at play in environmental theory and practice. One that has gripped several theorists is the idea of nature as referring to that which is independent of humans and human activity. This concept has been subject to forceful criticism, notably in the recent work of Steven Vogel. After clarifying problematic and promising ways of charac­terizing independent nature, I engage Vogel’s critique. While the critique is compelling in certain respects, I argue that it fails to appreciate what (...) I take to be an important motivating concern of those drawn to the concept of independent nature, or something like it. I offer a characterization of that concern—a worry about problematic instrumentalization of the nonhuman world—and suggest why this concern, and the idea of independent nature which helps to make it intelligible, should continue to inform environmental theory and practice. In offering a qualified defense of the concept of independent nature, and of its value, I assume that such a concept is only one possible tool in a multi-pronged approach to environmental theorizing, deliberation, action, and policy. (shrink)

John O’Neill, Alan Holland, and Andrew Light usefully distinguish two ways of thinking about environmental values, namely, end-state and historical views. To value nature in an end-state way is to value it because it instantiates certain properties, such as complexity or diversity. In contrast, a historical view says that nature’s value is (partly) determined by its particular history. Three contemporary defenses of a historical view are explored in order to clarify: (1) the normatively relevant history; (2) how historical considerations are (...) supposed to instruct environmental decision making; and (3) the relative importance of historical and end-state considerations. There are multiple reasons for including historical considerations in an account of environmental values. For example, knowledge of a natural object’s history can add depth and texture to our appreciation of that object. Further, if we were blind to the relevant history, we could not adequately understand and defend environmental policy goals such as preserving the potentials of natural systems or maintaining ecological health, for these goals appear to have irreducibly historical aspects. While historical considerations are important, such considerations are insufficient to guide our normative thinking about nature and how it should be dealt with practically. But they succeed in broadening and deepening our understanding of the nature and sources of environmental value. (shrink)

An environmental ethic needs to have an answer to two basic questions: what nature should we care about, and why? A number of proposals have been made about how to answer these questions. In this paper, I consider in detail one such proposal, namely, biological or ecological integrity. Different characterizations of integrity can be found in the literature, but I will treat the following one as paradigmatic. Integrity refers to a property of landscapes that are relatively unmodified by human activity (...) and that have their native biota largely intact.1 By “native biota,” I mean the native plant and animal life in a particular place, and... (shrink)

Broadening access to both computational and educational resources is crit- ical to diffusing machine learning (ML) innovation. However, today, most ML resources and experts are siloed in a few countries and organizations. In this article, we describe our pedagogical approach to increasing access to applied ML through a massive open online course (MOOC) on Tiny Machine Learning (TinyML). We suggest that TinyML, applied ML on resource-constrained embedded devices, is an attractive means to widen access because TinyML leverages low-cost and globally (...) accessible hardware and encourages the development of complete, self-contained applications, from data collection to deployment. To this end, a collaboration between academia and industry produced a four part MOOC that provides application-oriented instruction on how to develop solutions using TinyML. The series is openly available on the edX MOOC platform, has no prerequisites beyond basic programming, and is designed for global learners from a variety of backgrounds. It introduces real-world applications, ML algorithms, data-set engineering, and the ethi- cal considerations of these technologies through hands-on programming and deployment of TinyML applications in both the cloud and on their own microcontrollers. To facili- tate continued learning, community building, and collaboration beyond the courses, we launched a standalone website, a forum, a chat, and an optional course-project com- petition. We also open-sourced the course materials, hoping they will inspire the next generation of ML practitioners and educators and further broaden access to cutting-edge ML technologies. (shrink)

Recent impossibility theorems for fair risk assessment extend to the domain of epistemic justice. We translate the relevant model, demonstrating that the problems of fair risk assessment and just credibility assessment are structurally the same. We motivate the fairness criteria involved in the theorems as also being appropriate in the setting of testimonial justice. Any account of testimonial justice that implies the fairness/justice criteria must be abandoned, on pain of triviality.

Freud proposes that in unconscious processing, logical connections are also (heavily) based upon phonological similarities. Repressed concerns, for example, would also be expressed by way of phonologic ambiguity. In order to investigate a possible unconscious influence of phonological similarity, 31 participants were submitted to a tachistoscopic subliminal priming experiment, with prime and target presented at 1ms. In the experimental condition, the prime and one of the 2 targets were phonological reversed forms of each other, though graphemically dissimilar (e.g., “nice” and (...) “sign”); in the control condition the targets were pseudo-randomly attributed to primes to which they don’t belong. The experimental task was to “blindly” pick the choice most similar to the prime. ERPs were measured with a focus on the N320, which is known to react selectively to phonological mismatch in supraliminal visual word presentations. The N320 amplitude-effects at the electrodes on the midline and at the left of the brain significantly predicted the participants’ net behavioral choices more than half a second later, while their subjective experience is one of arbitrariness. Moreover, the social desirability score (SDS) significantly correlates with both the behavioral and the N320 brain responses of the participants. It is proposed that in participants with low SDS the phonological target induces an expected reduction of N320 and this increases their probability to pick this target. In contrast, high defensive participants have a perplexed brain reaction upon the phonological target, with a negatively peaking N320 as compared to control and this leads them to avoid this target more often. Social desirability, which is understood as reflecting defensiveness, might also manifest itself as a defense against the (energy-consuming) ambiguity of language. The specificity of this study is that all of this is happening totally out of awareness and at the level of very elementary linguistic distinctions. (shrink)

Our aim here is to present a result that connects some approaches to justifying countable additivity. This result allows us to better understand the force of a recent argument for countable additivity due to Easwaran. We have two main points. First, Easwaran’s argument in favour of countable additivity should have little persuasive force on those permissive probabilists who have already made their peace with violations of conglomerability. As our result shows, Easwaran’s main premiss – the comparative principle – is strictly (...) stronger than conglomerability. Second, with the connections between the comparative principle and other probabilistic concepts clearly in view, we point out that opponents of countable additivity can still make a case that countable additivity is an arbitrary stopping point between finite and full additivity. (shrink)

A commonly held view is that a central aim of metaphysics is to give a fundamental account of reality which refers only to the fundamental entities. But a puzzle arises. It is at least a working hypothesis for those pursuing the aim that, first, there must be fundamental entities. But, second, it also seems possible that the world has no foundation, with each entity depending on others. These two claims are inconsistent with the widely held third claim that the fundamental (...) just is the foundational. It is tempting to resolve the puzzle by rejecting the first or second claim, perhaps because it is obscure how the third claim might plausibly be challenged. But I develop a new analysis of fundamentality which challenges the third claim by allowing for an entity to be fundamental without being foundational. The analysis, roughly, is that an entity is fundamental just in case not all facts about it are grounded in facts about other entities. The possibility of fundamentality without foundations not only provides for a novel resolution to the puzzle, but has applications to some live debates: for example, it undermines Jonathan Schaffer's modal argument for priority monism. (shrink)

Merging of opinions results underwrite Bayesian rejoinders to complaints about the subjective nature of personal probability. Such results establish that sufficiently similar priors achieve consensus in the long run when fed the same increasing stream of evidence. Initial subjectivity, the line goes, is of mere transient significance, giving way to intersubjective agreement eventually. Here, we establish a merging result for sets of probability measures that are updated by Jeffrey conditioning. This generalizes a number of different merging results in the literature. (...) We also show that such sets converge to a shared, maximally informed opinion. Convergence to a maximally informed opinion is a (weak) Jeffrey conditioning analogue of Bayesian “convergence to the truth” for conditional probabilities. Finally, we demonstrate the philosophical significance of our study by detailing applications to the topics of dynamic coherence, imprecise probabilities, and probabilistic opinion pooling. (shrink)

This paper challenges Williamson's "E = K" thesis on the basis of evidential practice. The main point is that most evidence is only approximately true and so cannot be known if knowledge is factive.

Sceptical theists--e.g., William Alston and Michael Bergmann--have claimed that considerations concerning human cognitive limitations are alone sufficient to undermine evidential arguments from evil. We argue that, if the considerations deployed by sceptical theists are sufficient to undermine evidential arguments from evil, then those considerations are also sufficient to undermine inferences that play a crucial role in ordinary moral reasoning. If cogent, our argument suffices to discredit sceptical theist responses to evidential arguments from evil.

In a recent paper Shieva Kleinschmidt has argued that if certain scenarios involving extended simple regions are possible (so-called ‘Place Cases’), then no logic of location with only one primitive locative notion (i.e., no ‘parsimonious logic of location’) will suffice to describe all of the locative possibilities. Since almost all existing logics of location are parsimonious (and apparently for good reason) the argument is a considerable obstacle to the development of a satisfactory logic of location. Kleinschmidt suggests that the best (...) way out of the difficulty is to deny the possibility of Place Cases by denying that extended simple regions are possible. I argue that much the same problem arises even in cases not involving extended simple regions or indeed exotic regions of any kind. Thus, simply denying the possibility of extended simple regions will not save parsimonious logics of location. (shrink)

Perhaps the most commonly discussed argument against the possibility of extended simples is the argument from heterogeneity. The argument states that, if extended simples are possible, then extended simples which exhibit intrinsic qualitative variation across space (or spacetime) are also possible [Premise 1]. But, the argument goes, it is impossible for an extended simple to exhibit intrinsic qualitative variation across space (or spacetime) [Premise 2]. Thus, extended simples are impossible. I argue that there is a serious problem with the argument (...) from heterogeneity: the best arguments in support of the first premise undermine support for the second. Thus, there appears to be no good reason to accept both premises. (shrink)

This paper shows that any view of future contingent claims that treats such claims as having indeterminate truth values or as simply being false implies probabilistic irrationality. This is because such views of the future imply violations of reflection, special reflection and conditionalization.

In this chapter we consider three philosophical perspectives (including those of Stalnaker and Lewis) on the question of whether and how the principle of conditional excluded middle should figure in the logic and semantics of counterfactuals. We articulate and defend a third view that is patterned after belief revision theories offered in other areas of logic and philosophy. Unlike Lewis’ view, the belief revision perspective does not reject conditional excluded middle, and unlike Stalnaker’s, it does not embrace supervaluationism. We adduce (...) both theoretical and empirical considerations to argue that the belief revision perspective should be preferred to its alternatives. The empirical considerations are drawn from the results of four empirical studies (which we report below) of non-experts’ judgments about counterfactuals and conditional excluded middle. (shrink)

We argue that, insofar as one accepts either supersubstantivalism or strong composition as identity for the usual reasons, one has (defeasible) reasons to accept the other as well. Thus, all else being equal, one ought to find the package that combines both views—the Identity Package—more attractive than any rival package that includes one, but not the other, of either supersubstantivalism or composition as identity.

Bayesians often appeal to “merging of opinions” to rebut charges of excessive subjectivity. But what happens in the short run is often of greater interest than what happens in the limit. Seidenfeld and coauthors use this observation as motivation for investigating the counterintuitive short run phenomenon of dilation, since, they allege, dilation is “the opposite” of asymptotic merging of opinions. The measure of uncertainty relevant for dilation, however, is not the one relevant for merging of opinions. We explicitly investigate the (...) short run behavior of the metric relevant for merging, and show that dilation is independent of the opposite of merging. (shrink)

In this paper I argue that the best explanation of expertise about taste is that such alleged experts are simply more eloquent in describing the taste experiences that they have than are ordinary tasters.

This paper shows how the availability heuristic can be used to justify inference to the best explanation in such a way that van Fraassen's infamous "best of a bad lot" objection can be adroitly avoided. With this end in mind, a dynamic and contextual version of the erotetic model of explanation sufficient to ground this response is presented and defended.

This chapter will discuss the relation of physicalism to social ontology, and explores problems that social ontology raises for physicalism. Physicalism is often understood to be the view that all facts—the social ones included—are physical facts, or at least are exhaustively determined by physical facts. While this view is widely endorsed, social phenomena challenge physicalism in several ways, both challenging the coherence of claims of physicalism and raising potential counterexamples.

Computational systems biologists create and manipulate computational models of biological systems, but they do not always have straightforward epistemic access to the content and behavioural profile of such models because of their length, coding idiosyncrasies, and formal complexity. This creates difficulties both for modellers in their research groups and for their bioscience collaborators who rely on these models. In this paper we introduce a new kind of visualization that was developed to address just this sort of epistemic opacity. The visualization (...) is unusual in that it depicts the dynamics and structure of a computer model instead of that model’s target system, and because it is generated algorithmically. Using considerations from epistemology and aesthetics, we explore how this new kind of visualization increases scientific understanding of the content and function of computer models in systems biology to reduce epistemic opacity. (shrink)

This is an editorial introduction to a special issue of Acta Analytica on epistemic luck.

This paper contains a critical examination of the prospects for analyses of knowledge that weaken the factivity condition such that knowledge implies approximate truth.

The development of possible worlds semantics for modal claims has led to a more general application of that theory as a complete semantics for various formal and natural languages, and this view is widely held to be an adequate (philosophical) interpretation of the model theory for such languages. We argue here that this view generates a self-referential inconsistency that indicates either the falsity or the incompleteness of PWS.

This short paper offers a skeptical solution to Åqvist's paradox of epistemic obligation. The solution is based on the contention that in SDL/KDT logics the externalist features of knowledge, about which we cannot have obligations, are obscured.

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

Some recent work by philosophers of mathematics has been aimed at showing that our knowledge of the existence of at least some mathematical objects and/or sets can be epistemically grounded by appealing to perceptual experience. The sensory capacity that they refer to in doing so is the ability to perceive numbers, mathematical properties and/or sets. The chief defense of this view as it applies to the perception of sets is found in Penelope Maddy’s Realism in Mathematics, but a number of (...) other philosophers have made similar, if more simple, appeals of this sort. For example, Jaegwon Kim (1981, 1982), John Bigelow (1988, 1990), and John Bigelow and Robert Pargetter (1990) have all defended such views. The main critical issue that will be raised here concerns the coherence of the notions of set perception and mathematical perception, and whether appeals to such perceptual faculties can really provide any justification for or explanation of belief in the existence of sets, mathematical properties and/or numbers. (shrink)

In this paper it is argued that the conjunction of linguistic ersatzism, the ontologically deflationary view that possible worlds are maximal and consistent sets of sentences, and possible world semantics, the view that the meaning of a sentence is the set of possible worlds at which it is true, implies that no actual speaker can effectively use virtually any language to successfully communicate information. This result is based on complexity issues that relate to our finite computational ability to deal with (...) large bodies of information and a strong, but well motivated, assumption about the cognitive accessibility of meanings of sentences ersatzers seem to be implicitly committed to. It follows that linguistic ersatzism, possible world semantics, or both must be rejected. (shrink)

Following Nancy Cartwright and others, I suggest that most (if not all) theories incorporate, or depend on, one or more idealizing assumptions. I then argue that such theories ought to be regimented as counterfactuals, the antecedents of which are simplifying assumptions. If this account of the logic form of theories is granted, then a serious problem arises for Bayesians concerning the prior probabilities of theories that have counterfactual form. If no such probabilities can be assigned, the the posterior probabilities will (...) be undefined, as the latter are defined in terms of the former. I argue here that the most plausible attempts to address the problem of probabilities of conditionals fail to help Bayesians, and, hence, that Bayesians are faced with a new problem. In so far as these proposed solutions fail, I argue that Bayesians must give up Bayesianism or accept the counterintuitive view that no theories that incorporate any idealizations have ever really been confirmed to any extent whatsoever. Moreover, as it appears that the latter horn of this dilemma is highly implausible, we are left with the conclusion that Bayesianism should be rejected, at least as it stands. (shrink)

It is wholly uncontroversial that measurements-or, more properly, propositions that are measurement reports-are often paradigmatically good cases of propositions that serve the function of evidence. In normal cases it is also obvious that stating such a report is an utterly pedestrian case of successful assertion. So, for example, there is nothing controversial about the following claims: (1) that a proposition to the effect that a particular thermometer reads 104C when properly used to determine the temperature of a particular patient is (...) evidence that the patient in question has a fever and (2) that there is nothing wrong with asserting the proposition that a particular thermometer reads 104C for appropriate reasons of communication, etc. when the thermometer has been properly used to determine the temperature of a particular patient. Here it will be shown that Timothy Williamson’s commitments to a number of principles about knowledge and assertion imply that a whole class of utterly ordinary statements like these that are used as evidence are not really evidence because they are not knowledge and so are (perversely) unassertable according to his principled commitments. This paper deals primarily with the second of these two problems and an alternative account of the norms of assertion is introduced which allows for the assertability of such measurement reports. (shrink)

This paper introduces a model for evidence denial that explains this behavior as a manifestation of rationality and it is based on the contention that social values (measurable as utilities) often underwrite these sorts of responses. Moreover, it is contended that the value associated with group membership in particular can override epistemic reason when the expected utility of a belief or belief system is great. However, it is also true that it appears to be the case that it is still (...) possible for such unreasonable believers to reverse this sort of dogmatism and to change their beliefs in a way that is epistemically rational. The conjecture made here is that we should expect this to happen only when the expected utility of the beliefs in question dips below a threshold where the utility value of continued dogmatism and the associated group membership is no longer sufficient to motivate defusing the counter-evidence that tells against such epistemically irrational beliefs. (shrink)

This paper is a response to Baumann's comments on "Can Knowledge Really be Non-fative?" In this paper Baumann's suggestions for how those who deny the factivty of knowledge might deal with the argument from inconsistency and explosion are addressed.

The main examples of pragmatic encroachment presented by Jason Stanley involve the idea that knowledge ascription occurs more readily in cases where stakes are low rather than high. This is the stakes hypothesis. In this paper an example is presented showing that in some cases knowledge ascription is more readily appropriate where stakes are high rather than low.

This paper concerns a distinction between circumstantial truths that hold because of the circumstances and acircumstantial truths that hold regardless of, or transcend, the circumstances. Previous discussions of the distinction tended to focus on its applications, such as to modality, logical truth, and essence. This paper focuses on developing the distinction largely, but not entirely, in abstraction from its potential applications. As such, the paper’s main contribution is to further clarify the distinction itself. An indirect contribution is to help guide (...) its future applications. (shrink)

This paper explores the prospects of combining two views. The first view is metaphysical rationalism : all things have an explanation. The second view is metaphysical essentialism: there are real essences. The exploration is motivated by a conflict between the views. Metaphysical essentialism posits facts about essences. Metaphysical rationalism demands explanations for all facts. But facts about essences appear to resist explanation. I consider two solutions to the conflict. Exemption solutions attempt to exempt facts about essences from the demand for (...) explanation. Explanation solutions attempt to explain facts about essences. I argue that exemption solutions are less promising than explanation solutions. I then consider how explanation solutions might be developed. I suggest that a “generative” approach is most promising. I tentatively conclude that the prospects for combining metaphysical rationalism and metaphysical essentialism turn on the viability of a generative approach. This sets the agenda for defending the combination as well as the more general project of explaining essences. (shrink)

Van Fraassen’s (1989) infamous best of a bad lot objection is widely taken to be the most serious problem that afflicts theories of inference to the best explanation (IBE), for it alleges to show that we should not accept the conclusion of any case of such reasoning as it actually proceeds. Moreover, this is supposed to be the case irrespective of the details of the particular criteria used to select best explanations. The best of a bad lot objection is predicated (...) on, and really only requires, the idea that in any real case of IBE where one hypothesis is favored as best over those with which it competes, it is always the case that it is more likely that the true explanation is to be found in the set of unformulated and unconsidered logical alternatives to the set of actually considered hypotheses. On this basis, Van Fraassen believes that accepting the conclusion of IBEs so understood is irrational and this is simply because such inferences are supposedly not probative. In this paper the best of a bad lot objection will be addressed and it will be shown that Van Fraassen’s notorious criticism of IBE depends on a problematic conflation of two notions of rationality and thus that his criticism of IBE involves a damning equivocation. In essence, he conflates ideal standards of rationality with epistemic standards of rationality and, in so doing, makes it appear to be the case that we should not accept the conclusions of IBEs. But, when we disambiguate the concepts of rationality at work in the argument Van Fraassen’s conclusion simply does not follow. (shrink)

Recently a number of variously motivated epistemologists have argued that knowledge is closely tied to practical matters. On the one hand, radical pragmatic encroachment is the view that facts about whether an agent has knowledge depend on practical factors and this is coupled to the view that there is an important connection between knowledge and action. On the other hand, one can argue for the less radical thesis only that there is an important connection between knowledge and practical reasoning. So, (...) defenders of both of these views endorse the view that knowledge is the norm of practical reasoning. This thesis has recently come under heavy fire and a number of weaker proposals have been defended. In this paper counter-examples to the knowledge norm of reasoning will be presented and it will be argued that this viewand a number of related but weaker viewscannot be sustained in the face of these counter-examples. The paper concludes with a novel proposal concerning the norm of practical reasoning that is immune to the counter-examples introduced here. (shrink)

In this paper significant challenges are raised with respect to the view that explanation essentially involves unification. These objections are raised specifically with respect to the well-known versions of unificationism developed and defended by Michael Friedman and Philip Kitcher. The objections involve the explanatory regress argument and the concepts of reduction and scientific understanding. Essentially, the contention made here is that these versions of unificationism wrongly assume that reduction secures understanding.

In this paper it is shown that Lewis' MWD (might/would duality) and imaging principles lead to wildly implausible probability assignments for would counterfactuals.

Etic theorizing uses the theorist’s social notions to theorize about their subject. This theorist may claim that Genghis Khan was a war criminal even though his actions predate the enactment of the Geneva Conventions. Brian Epstein considers a modal etic theorist who claims that Genghis Khan would have been a war criminal even if the Geneva Conventions were never enacted. Epstein argues that this has metaphysical import: it requires postulating a novel metaphysical notion of “anchoring”. Drawing from some familiar issues (...) in modal actualism, I argue that modal etic theorizing does not support this postulate. But it does suggest a distinctive kind of modality at work in social reality. (shrink)

I argue that Anselmians ought to abandon traditional Anselmianism in favor of Moderate Anselmianism. Moderate Anselmianism advances the view that a being x = God iff for every essential property P of x, it is secondarily necessary that x has P, for most essential properties of x, it is not primarily necessary that x has P and the essential properties of x include omnipotence, omniscience, perfect goodness and necessary existence. Traditional Anselmians have no cogent response to most a priori atheological (...) arguments. But a priori atheological arguments present no serious problem for moderate Anselmians. Unlike traditional Anselmianism, Moderate Anselmianism explains why a priori atheological arguments can be convincing and nonetheless illusory. (shrink)

The physicalist credo is that the world is physical. But some phenomena, such as minds, morals, and mathematics, appear to be nonphysical. While an uncompromising physicalism would reject these, a conciliatory physicalism needn’t if it can account for them in terms of an underlying physical basis. Any such account must refer to the nonphysical. But won’t this unavoidable reference to the nonphysical conflict with the physicalist credo? This essay aims to clarify this problem and introduce a novel solution that relies (...) on a distinction between “circumstantial” facts that are based in the circumstances and “acircumstantial” facts that are not. This is used in two ways. First, physicalism is restricted to circumstantial facts: only they must have a physical basis that does not refer to the nonphysical. Second, facts accounting for the nonphysical are not restricted to the circumstantial: they may refer to the nonphysical if they are acircumstantial. Facts about how the physical accounts for the nonphysical therefore do not conflict with the physicalist’s credo. This provides a credible answer to what physicalism could be. (shrink)

Imre Lakatos' views on the philosophy of mathematics are important and they have often been underappreciated. The most obvious lacuna in this respect is the lack of detailed discussion and analysis of his 1976a paper and its implications for the methodology of mathematics, particularly its implications with respect to argumentation and the matter of how truths are established in mathematics. The most important themes that run through his work on the philosophy of mathematics and which culminate in the 1976a paper (...) are (1) the (quasi-)empirical character of mathematics and (2) the rejection of axiomatic deductivism as the basis of mathematical knowledge. In this paper Lakatos' later views on the quasi-empirical nature of mathematical theories and methodology are examined and specific attention is paid to what this view implies about the nature of mathematical argumentation and its relation to the empirical sciences. (shrink)

The main question addressed in this paper is whether some false sentences can constitute evidence for the truth of other propositions. In this paper it is argued that there are good reasons to suspect that at least some false propositions can constitute evidence for the truth of certain other contingent propositions. The paper also introduces a novel condition concerning propositions that constitute evidence that explains a ubiquitous evidential practice and it contains a defense of a particular condition concerning the possession (...) of evidence. The core position adopted here then is that false propositions that are approximately true reports of measurements can constitute evidence for the truth of other propositions. So, it will be argued that evidence is only quasi-factive in this very specific sense. (shrink)

This paper contains an argument to the effect that possible worlds semantics renders semantic knowledge impossible, no matter what ontological interpretation is given to possible worlds. The essential contention made is that possible worlds semantic knowledge is unsafe and this is shown by a parallel with the preface paradox.

This paper explores two related questions in late Athenian and Alexandrian Neoplatonism. First, how can a philosopher contemplate the eternal Forms while engaging in practical agency in the world? Second, do Neoplatonists provide a consistent account of the philosopher’s progress through the ‘stages of virtue’ (βαθμοί τῶν ἀρετῶν), the conceptual structure that underpins late antique philosophical curricula and hagiography? These questions interact, I suggest, because later Platonists appeal to the stages of virtue and divine maniai (βαθμοί τῶν μανίων) to explain (...) the philosopher’s ability to alternate gracefully between contemplation and embodied agency, and even to engage in both activities at the same moment. I argue that apparently contradictory evidence for the highest stages of virtue can be reconciled satisfactorily, shedding light on two models of ethical and perceptual transformation that are consistent throughout later Neoplatonism. In the first, 'painterly' model, we alternate between a vision of the paradigmatic model and its expression in the media of place and time; in the second, 'dancerly' model, we contemplate in action all at once, like a dancer moving to the music. (shrink)