Epistemic Luck

Luck has become an increasingly important factor in epistemology during recent years as either a preventor of knowledge (Pritchard 2013) or even as one of the conditions of knowledge (Zagzebski 1994, Hetherington 2013), thus begging the question of its definition. Following the probabilistic and degree-minding "new paradigm psychology of reasoning" (Evans 2012, Elqayam & Over 2012, Pfeifer & Douven 2014) and renouncing the "old paradigm" of bivalence, the first main feature of this article lies in the introduction of "gradualism" according (...) to which vast parts of reality comes in degrees (=metaphysical or ontological gradualism) and, given that theoretical constructs are supposed to accurately correspond to reality, according to which gradualistic or degree-minding frameworks need to be established in all of philosophy or science (=theoretical gradualism). As the second and more central feature of this article, and building on gradualism and Riggs' (2007) pivotal idea that "luck comes in degrees", I will then develop my own gradualistic account of luck with two always necessary gradual conditions (low enough chance and high enough significance) and one sometimes necessary gradual condition (low enough control or high enough lack of control). During the presentation of this new account of luck, I will also deliver decisive arguments against prominent luck philosopher Duncan Pritchard's latest version of the modal account of luck (forthcoming) which contains major mistakes in respect to all three conditions of luck. (shrink)

David Lewis maintained that epistemological contextualism (on which the truth-conditions for utterances of “S knows p” change in different contexts depending on the salient “alternative possibilities”) could solve the problem of skepticism as well as the Gettier problem. Contextualist approaches to skepticism have become commonplace, if not orthodox, in epistemology. But not so for contextualist approaches to the Gettier problem: the standard approach to this has been to add an “anti-luck” condition to the analysis of knowledge.

In this paper, it is argued that there are (at least) two different kinds of ‘epistemic normativity’ in epistemology, which can be scrutinized and revealed by some comparison with some naturalistic studies of ethics. The first kind of epistemic normativity can be naturalized, but the other not. The doctrines of Quine’s naturalized epistemology is firstly introduced; then Kim’s critique of Quine’s proposal is examined. It is argued that Quine’s naturalized epistemology is able to save some room for the concept of (...) epistemic normativity and therefore his doctrine can be protected against Kim’s critique. But, it is the first kind of epistemic normativity that can be naturalized in epistemology. With the assistance of Goldman’s fake barn case, it is shown that the concept of epistemic normativity that is involved in the concept of knowing, which cannot be fully naturalized. The Gettier problem indicates that Quine only gets partially right idea concerning whether epistemology can (and should) be natualized. (shrink)

The main lesson from Gettier cases is that while one cannot know a proposition by luck, one can hold a lucky true belief justifiedly. Possibly because the latter is taken for granted, the relationship between epistemic justification and epistemic luck has been less discussed. The paper investigates whether luck can undermine doxastic justification, and if so, how and to what extent. It is argued that, as in the case of knowledge, beliefs can fall short of justification due to luck. Moreover, (...) it is argued that justification-undermining luck is a problem for both internalist and externalist conceptions of justification. Accordingly, it is shown that epistemic luck is a more widespread phenomenon than many in epistemology commonly assume. (shrink)

It is a well-worn platitude that knowledge excludes luck. According to anti-luck virtue epistemology, making good on the anti-luck platitude requires an explicit anti-luck condition along the lines of safety: S knows that p only if S’s true belief that p could not have easily been mistaken. This paper offers an independent, virtue epistemological argument against the claim that safety is a necessary condition on knowledge, one that adequately captures the anti-luck platitude. The argument proceeds by way of analogy. I (...) focus on two paradigmatic kinds of normative achievements that also exclude luck: (i) – having a doxastically justified belief, and (ii) – performing a morally worthy action. I then show that while (i) and (ii) exclude luck, they are nevertheless susceptible to what I call ‘modal luck’. I then move on to show that knowledge, or at least some instance of knowledge, is a normative achievement, which I claim provides strong reasons to expect that knowledge is also susceptible to modal luck. Since safety entails that knowledge is incompatible with modal luck, the argument provides strong reasons to reject safety as a necessary condition on knowledge. (shrink)

According to the modal account of luck it is a matter of luck that p if p is true at the actual world, but false in a wide‐range of nearby worlds. According to the modal account of risk, it is risky that p if p is true at some close world. I argue that the modal accounts of luck and risk do not mesh well together. The views entail that p can be both maximally risky and maximally lucky, but there (...) is nothing which is both maximally lucky and maximally risky. I offer a novel theory of risk that fits together with the modal account of luck and demonstrate that it is both extensionally and formally superior to extant proposals. (shrink)

A novel theory of comparative risk is developed and defended. Extant theories are criticized for failing the tests of extensional and formal adequacy. A unified diagnosis is proposed: extant theories consider risk to be a univariable function, but risk is a multivariate function. According to the theory proposed, which we call the unified theory of risk, the riskiness of a proposition is a function of both the proportion and the modal closeness of the possible worlds at which the proposition holds. (...) It is argued the theory passes the tests of extensional and formal adequacy. (shrink)

I will present a novel argument that there can be epistemically vicious knowledge. In the kind of case that interests me, the subject knows not despite but rather because of her vice. It is generally agreed that some kinds of epistemic luck doesn’t undermine knowledge. For instance, being lucky not to have misleading evidence doesn’t undermine knowledge. I will argue that this doesn’t change when the avoidance of misleading evidence depends on the subject’s vice. It does not prevent her belief (...) from being both safe and sensitive, nor does it have any bearing on whether her justifying reasons are ultimately defeated. To illustrate my point, I will draw a parallel with a certain way of thinking about resultant moral luck. I will then go on to consider the ramifications for virtue-theoretic analyses of knowledge and the doctrine of normative defeat. (shrink)

One common attitude toward abstract objects is a kind of platonism: a view on which those objects are mind-independent and causally inert. But there's an epistemological problem here: given any naturalistically respectable understanding of how our minds work, we can't be in any sort of contact with mind-independent, causally inert objects. So platonists, in order to avoid skepticism, tend to endorse epistemological theories on which knowledge is easy, in the sense that it requires no such contact—appeals to Boghossian’s notion of (...) epistemic analyticity are particularly common here, as are appeals to some broadly pragmatic account of the good standing of basic beliefs. I argue, though, that these appeals are hopeless: an argument adapted from the Benacerraf–Field challenge shows that, even if some such theory can deliver the verdict that our beliefs about abstract objects have some prima facie good standing, this good standing will inevitably be defeated. (shrink)

According to the sensitivity account of knowledge, S knows that p only if S’s belief in p is sensitive in the sense that S would not believe that p if p were false. The sensitivity condition is usually relativized to belief-formation methods to avoid putative counterexamples. A remaining issue for the account is where methods should be mentioned in the sensitivity subjunctives. In this paper, I argue that if methods are mentioned in the antecedent, then the account is too strong (...) to accommodate inductive knowledge; if methods are mentioned in the consequent, then the account is too weak to eliminate some luckily true beliefs from the realm of knowledge. Therefore, the strategy to relativize the sensitivity condition is undermined by inductive knowledge and some luckily true beliefs. (shrink)

This chapter examines some key developments in discussions of the social dimensions of knowing-how, focusing on work on the social function of the concept of knowing-how, testimony, demonstrating one's knowledge to other people, and epistemic injustice. I show how a conception of knowing-how as a form of 'downstream knowledge' can help to unify various phenomena discussed within this literature, and I also consider how these ideas might connect with issues concerning wisdom, moral knowledge, and moral testimony.

This essay is an accessible introduction to the proof paradox in legal epistemology. -/- In 1902 the Supreme Judicial Court of Maine filed an influential legal verdict. The judge claimed that in order to find a defendant culpable, the plaintiff “must adduce evidence other than a majority of chances”. The judge thereby claimed that bare statistical evidence does not suffice for legal proof. -/- In this essay I first motivate the claim that bare statistical evidence does not suffice for legal (...) proof. I then introduce and motivate a knowledge-centred explanation of this fact. The knowledge-centred explanation rests on two premises. The first is that legal proof requires knowledge of culpability. The second is that one cannot attain knowledge that p from bare statistical evidence that p. To motivate the second premise, I suggest that beliefs based on bare statistical evidence fail to be safe—they could easily be wrong—and bare statistical evidence cannot eliminate relevant alternatives. -/- I then cast doubt on the first premise; I argue that legal proof does not require knowledge. I thereby dispute the knowledge-centred explanation of the inadequacy of bare statistical evidence for legal proof. Instead of appealing to the nature of knowledge, I suggest we should seek a more direct explanation by appealing to those more foundational epistemic properties, such as safety or eliminating relevant alternatives. (shrink)

The paper offers an account of luck, fate, and fortune. It begins by showing that extant accounts of luck are deficient because they do not identify the genus of which luck is a species. That genus of properties, the tychic, alert an agent to occasions on which the external world cooperates with or frustrates their goal-achievement. An agent’s sphere of competence is the set of goals that it is possible for them to reliably achieve. Luck concerns occasions on which there (...) is a mismatch between attempt and result; in bad luck the external world thwarts goal-achievement within the agent’s sphere of competence, in good luck the external world assists goal-achievement beyond the agent’s sphere of competence. Fateful events are those where, more passively, the agent finds the external world achieving or frustrating their goals. Fortune concerns the contraction and expansion of the agent’s sphere of competence. Eight reasons are given for accepting the account; its theoretical virtues and various things it explains. Lastly, three objections are answered; that the tychic properties relate to well-being rather than agency, that there are alternative theories of fortune available in the contemporary literature, that the account draws arbitrary distinctions between synonyms. (shrink)

In this article, I explore an important difference between circumstantial luck on the one side and resultant and constitutive luck on the other. In section 1, I argue that, in circumstantial luck, the object of luck and the object of moral judgment are different even though, in resultant and constitutive luck, they are the same. In section 2, I explain that this difference (1) has the potential to undermine the regress argument for moral luck; (2) makes viable the “selective moral (...) luck” argument strategy (affirming some species of moral luck but denying others); and (3) has implications for the heritability of luck. (shrink)

I argue that justification isn't just in the head. The argument is simple. We should be guided by our beliefs. We shouldn't be guided by anything to do what we shouldn't do. So, we shouldn't believe in ways that would guide us to do the things that we shouldn't. Among the various things we should do is discharge our duties (e.g., to fulfil our promissory obligations) and respect the rights of others (e.g., rights not to be harmed or killed by (...) agents acting on bad information). The grounds of our duties and obligations aren't just in the head. Thus, the conditions that bear on the justification of our beliefs cannot be contained wholly in our heads. The internalist might be right about aspects of normativity, but their theories tell us important normative truths without telling us the whole truth. In addition to norms that tell us how to process information, there are norms that tell us how we ought to live together. In information-asymmetry cases, these norms clearly come apart. Important normative questions about what we should do when agents (who, we might suppose, do what they subjectively ought to do) have interests that come into conflict can only be answered by externalist theories that recognise information-transcendent norms and normatively significant relations that don't supervene upon the information of any agent in particular. The internalist picture turns out to be disturbing precisely because it falls silent when we're faced with questions about how to resolve these conflicts. Resolving these conflicts should be a pressing concern for every normative theory. (shrink)

Is knowledge a uniform kind? If not, what relation do the different kinds of knowledge bear to one another? Is there a central notion of knowledge which other kinds of knowledge must be understood in terms of? In this paper, I use Aristotle’s theory of homonyms as a framework to make progress on these questions. I argue that knowledge is not a uniform kind but rather a core-dependent homonym. To demonstrate this, I focus on knowledge by acquaintance. I argue that (...) the principles that govern propositional knowledge cannot govern knowledge by acquaintance. I then develop analogue principles for knowledge by acquaintance and show why, despite their different modal profiles, knowledge by acquaintance is nevertheless a form of knowledge. I then show that the analysis of propositional knowledge fundamentally depends on knowledge by acquaintance. (shrink)

In this paper, I will present a problem for reductive accounts of knowledge-undermining epistemic luck. By “reductive” I mean accounts that try to analyze epistemic luck in non-epistemic terms. I will begin by briefly considering Jennifer Lackey's (2006) criticism of Duncan Pritchard's (2005) safety-based account of epistemic luck. I will further develop her objection to Pritchard by drawing on the defeasible-reasoning tradition. I will then show that her objection to safety-based accounts is an instance of a more general problem with (...) reductive accounts of epistemic luck. In short, they face a dilemma: they can either fail to vindicate the intuitive verdicts about cases or they can illicitly appeal to the epistemic vocabulary they are trying to reduce. The upshot is that we can only understand epistemic luck in terms of the assessment of the subject's reasons and we can't give a reductive account of that. (shrink)

Recent develops in AI technology have led to increasingly sophisticated forms of video manipulation. One such form has been the advent of deepfakes. Deepfakes are AI-generated videos that typically depict people doing and saying things they never did. In this paper, I demonstrate that there is a close structural relationship between deepfakes and more traditional fake barn cases in epistemology. Specifically, I argue that deepfakes generate an analogous degree of epistemic risk to that which is found in traditional cases. Given (...) that barn cases have posed a long-standing challenge for virtue-theoretic accounts of knowledge, I consider whether a similar challenge extends to deepfakes. In doing so, I consider how Duncan Pritchard’s recent anti-risk virtue epistemology meets the challenge. While Pritchard’s account avoids problems in traditional barn cases, I claim that it leads to local scepticism about knowledge from online videos in the case of deepfakes. I end by considering how two alternative virtue-theoretic approaches might vindicate our epistemic dependence on videos in an increasingly digital world. (shrink)

In this paper, I develop and motivate a novel formulation of the safety condition in terms of etiological proper function. After testing this condition against the most pressing objections to safety-theoretic accounts of knowledge in the literature, my conclusion will be the following: once safety is suitably understood in terms of etiological proper function, it stands a better chance as the right anti-Gettier condition on knowledge.

I will discuss a variety of cases such that the subject's believing truly is somewhat of an accident, but less so than in a Gettier case. In each case, this is because her reasons are not ultimately undefeated full stop, but they are ultimately undefeated with certain qualifications. For example, the subject's reasons might be ultimately defeated considered in themselves but ultimately undefeated considered as a proper part of an inference to the best explanation that is undefeated without qualification. In (...) each section of the paper, I consider different qualifications and show how in each case we get an epistemic standing I call “coach-class knowledge”. First-class knowledge requires justifying reasons that are undefeated without qualification. Coach-class knowledge only requires qualified lack of defeat. I will use this distinction to bring debates over knowledge from falsehood and fake barns to an ecumenical resolution. In both cases, the subject enjoys coach-class rather than first-class knowledge. I will also show that the defeasible reasoning tradition can better account for graded accidental truth than safety theories. (shrink)

Recent epistemology has witnessed a substantial opposition between two competing approaches to capturing the notion of non-accidentality in the analysis of knowledge: the explanationist and the modalist. According to the latest advocates of the former, S knows that p if and only if S believes that p because p is true. According to champions of the latter, S knows that p if and only if S's belief that p is true in a relevant set of possible worlds. Because Bogardus and (...) Perrin's explanationism promises to deliver a plausible analysis of knowledge without any need for modal notions, it is an elegant proposal with prima facie appeal. However, such version of explanationism ultimately does not live up to its promises: in this paper, I raise some objections to their explanationist analysis of knowledge while showing that modalism is in much better shape than they think. In particular, I argue that their explanationist condition generates the wrong results in Gettier cases and fake-barn cases. I also offer and defend a novel version of modalism: I introduce a refined safety condition which is shown to successfully handle the same Gettier cases that beset Bogardus and Perrin's version of explanationism. The paper concludes with a reassessment of the explanationist's initial ambition to provide an analysis of knowledge without modal notions. The upshot will be that even if the prospects for such analysis remain dim, our money should be on the modalist, not the explanationist. (shrink)

Abstract: In this paper I argue that luck and fortune are distinct concepts that apply to different sets of events. I do so by suggesting that lucky events are best understood as significant events that are either modally fragile or improbable (depending on whether you accept a modal account or a probability account of luck), whereas fortunate events are best understood as significant events that are outside of our control. I call this the Pure Control Account of Fortune. I show (...) that this account of fortune forces control theorists about luck to be fortune reductionists but allows those who endorse a modal or probability account of luck to be fortune realists. Additionally, I argue that this account of fortune helps us overcome prominent counterexamples and challenges found in the luck literature. (shrink)

This paper critically explores Timothy Williamson’s view of evidence, and it does so in light of the problem of epistemic luck. Williamson’s view of evidence is, of course, a crucially important aspect of his novel and influential “knowledge-first” epistemological project. Notoriously, one crucial thesis of this project is that one’s evidence is equivalent to what one knows. This has come to be known as the E = K thesis. This paper specifically addresses Williamson’s knowledge-first epistemology and the E = K (...) thesis in the context of anti-luck epistemology and the idea that knowledge is factive. Williamson’s views on these matters are worth investigating in some detail because he subscribes to a well-worked out anti-luck view of knowledge that incorporates what is perhaps the most common anti-luck condition. But this paper is also of more general importance because the critique of Williamson’s views on these matters reveals some important things about the nature of evidence and evidence is one of the most fundamental concepts in epistemology. (shrink)

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

The Stoics thought that knowledge depends on a special kind of appearances which they called ‘apprehensive’, which are by definition true. Interestingly, Sextus Empiricus reports in M 7.247 that they held that there are appearances that are true but that are not apprehensive because they are true merely by chance and thus cannot constitute knowledge. I believe that this suggests that the Stoics were aware of what is in modern literature known as the problem of epistemic luck. Unfortunately, Sextus’ report (...) leaves out a lot of important details, which makes it difficult to understand exactly which appearances the Stoics thought are true by chance, and why. I argue that the true non-apprehensive appearances in question here are imaginations, representational states which are not immediately caused by external objects through perception, but produced solely by the mind. I propose an explanation why the Stoics, who defined chance in terms of hidden causes, would have thought that imaginations can only be true by chance. The explanation stems from their view that the essential characteristic of imagination is that it leaves the actual cause of its representational content hidden from the subject. (shrink)

It has been argued that an advantage of the safety account over the sensitivity account is that the safety account preserves epistemic closure, while the sensitivity account implies epistemic closure failure. However, the argument fails to take the method-relativity of the modal conditions on knowledge, viz., sensitivity and safety, into account. In this paper, I argue that the sensitivity account and the safety account are on a par with respect to epistemic closure once the method-relativity of the modal conditions is (...) taken into account. Therefore, epistemic closure is no longer an arbiter in the debate. (shrink)

The safety condition is supposed to be a necessary condition on knowledge which helps to eliminate epistemic luck. It has been argued that the condition should be globalized to a set of propositions rather than the target proposition believed to account for why not all beliefs in necessary truths are safe. A remaining issue is which propositions are relevant when evaluating whether the target belief is safe or not. In the literature, solutions have been proposed to determine the relevance of (...) propositions. This paper examines a case of luckily true belief—thus a case of ignorance—and a case of knowledge. It argues that no solution in the literature offers a correct verdict in either case. Therefore, the strategy to globalize safety remains unsatisfactory. (shrink)

According to the safety account of knowledge, one knows that p only if one’s belief could not easily have been false. An important issue for the account is whether we should only examine the target belief when evaluating whether a belief is safe or not. In this paper, it is argued that, if we should only examine the target belief, then the account fails to account for ignorance of necessary truths. But, if we should also examine beliefs in other relevant (...) propositions, then the account fails to account for knowledge from falsehood. Therefore, the safety account of knowledge is undermined by knowledge from falsehood and ignorance of necessary truths. (shrink)

The distinction between true belief and knowledge is one of the most fundamental in philosophy, and a remarkable effort has been dedicated to formulating the conditions on which true belief constitutes knowledge. For decades, much of this epistemological undertaking has been dominated by a single strategy, referred to here as the modal approach. Shared by many of the most widely influential constraints on knowledge, including the sensitivity, safety, and anti-luck/risk conditions, this approach rests on a key underlying assumption — the (...) modal profiles available to known and unknown beliefs are in some way asymmetrical. The first aim of this paper is to deconstruct this assumption, identifying its plausibility with the way in which epistemologists frequently conceptualize human perceptual systems as excluding certain varieties of close error under conditions conducive to knowledge acquisition. The second aim of this paper is to then argue that a neural phase phenomenon indicates that this conceptualization is quite likely mistaken. This argument builds on the previous introduction of this neural phase to the context of epistemology, expanding the use of neural phase cases beyond relatively narrow questions about epistemic luck to a much more expansive critique of the modal approach as a whole. (shrink)

The philosophical interest in the nature, value, and varieties of human understanding has swelled in recent years. This article will provide an overview of new research in the epistemology of understanding, with a particular focus on the following questions: What is understanding and why should we care about it? Is understanding reducible to knowledge? Does it require truth, belief, or justification? Can there be lucky understanding? Does it require ‘grasping’ or some kind of ‘know-how’? This cluster of questions has largely (...) set the research agenda for the study of understanding in epistemology. This article will conclude by discussing some varieties of understanding and highlight directions for future research. (shrink)

Subjects who retain their beliefs in the face of higher-order evidence that those very beliefs are outputs of flawed cognitive processes are at least very often criticisable. Many think that this is because such higher-order evidence defeats various epistemic statuses such as justification and knowledge, but it is notoriously difficult to give an account of such defeat. This paper outlines an alternative explanation, stemming from some of my earlier work, for why subjects are criticisable for retaining beliefs in the face (...) of paradigm kinds of putatively defeating higher-order evidence: they manifest dispositions that are bad relative to a range of candidate epistemic successes such as true belief and knowledge. In particular, giving up belief in response to higher-order evidence only when that evidence is not misleading would require subjects to have dispositions that discriminate between cases in which their original cognitive processes is fine, and cases in which they merely seemed to be fine. But, I argue, such dispositions are not normally humanly feasible. I show that retaining belief in putative cases of defeat by higher-order evidence is problematic irrespective of whether veritism or some form of gnosticism is true. In the end I contrast my account of dispositional evaluations with similar-sounding ideas that have been put forth in the literature, such as consequentialist views that focus on instrumental means to success. (shrink)

I argue against the Standard View of ignorance, according to which ignorance is defined as equivalent to lack of knowledge, that cases of environmental epistemic luck, though entailing lack of knowledge, do not necessarily entail ignorance. In support of my argument, I contend that in cases of environmental luck an agent retains what I call epistemic access to the relevant fact by successfully exercising her epistemic agency and that ignorance and non-ignorance, contrary to what the Standard View predicts, are not (...) modal in the sense that knowledge is. After responding to objections, I conclude by sketching an alternative account of ignorance centered on the notions of epistemic access and epistemic agency. (shrink)

Sensitivity has sometimes been thought to be a highly epistemologically significant property, serving as a proxy for a kind of responsiveness to the facts that ensure that the truth of our beliefs isn’t just a lucky coincidence. But it's an imperfect proxy: there are various well-known cases in which sensitivity-based anti-luck conditions return the wrong verdicts. And as a result of these failures, contemporary theorists often dismiss such conditions out of hand. I show here, though, that a sensitivity-based understanding of (...) epistemic luck can be developed that respects what was attractive about sensitivity-based approaches in the first place but that's immune to these failures. (shrink)

Safety principles in epistemology are often hailed as providing us with an explanation of why we fail to have knowledge in Gettier cases and lottery examples, while at the same time allowing for the fact that we know the negations of sceptical hypotheses. In a recent paper, Sinhababu and Williams have produced an example—the Backward Clock—that is meant to spell trouble for safety accounts of knowledge. I argue that the Backward Clock case is, in fact, unproblematic for the more sophisticated (...) formulations of safety in the literature. However, I then proceed to construct two novel examples that turn out problematic for those formulations—one that provides us with a lottery-style case of safe ignorance and one that is a straightforward case of unsafe knowledge. If these examples succeed, then safety as it is usually conceived in the current debate cannot account for ignorance in all Gettier and lottery-style cases, and neither is it a necessary condition for knowledge. I conclude from these troublesome examples that modal epistemologists ought to embrace a much more simple and non-reductive version of safety, according to which the notion of similarity between possible worlds that determines in which worlds the subject must believe truly is an epistemic notion that cannot be defined or reduced to notions independent of knowledge. The resulting view is shown to also lead to desirable results with respect to lottery cases, certain quantum phenomena, and a puzzling case involving a cautious brain-in-a-vat. (shrink)

ABSTRACTConventional wisdom holds that there is no lucky knowledge: if it is a matter of luck, in some relevant sense, that one's belief that p is true, then one does not know that p. Here I will argue that there is similarly no lucky understanding, at least in the case of one type of luck, namely environmental luck. This argument has three parts. First, we need to determine how we evaluate whether one has understanding, which requires determining what I will (...) call understanding's evaluative object. I argue that as the evaluative object of knowledge is a belief in a proposition, the evaluative object of understanding is a mental representation of a relational structure. Next, I show that arguments that environmental luck is incompatible with understanding miss the mark by considering cases in which one has a belief in a proposition is lucky to be true, instead of ones in which one's mental representation of a relational structure is lucky to obtain. I agree, then, with those who argue that one can have understanding when one's beliefs are environmentally lucky to be true, but that this compatibility is not relevant when considering the question of whether one can have environmentally lucky understanding. I then present what I take to be a properly constructed case which shows the incompatibility of environmental luck with understanding. (shrink)

Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Balaguer [1998], Linksy and Zalta [1995], Hamkins [2012]). There is considerable room for debate about how best to formulate set-theoretic pluralism, and even about whether the view is coherent. But there is widespread agreement as to what there is to recommend the view (given that it can be formulated coherently). Unlike set-theoretic universalism, set-theoretic pluralism affords an answer to Benacerraf’s epistemological challenge. The purpose of this paper is (...) to determine what Benacerraf’s challenge could be such that this view is warranted. I argue that it could not be any of the challenges with which it has been traditionally identified by its advocates, like of Benacerraf and Field. Not only are none of the challenges easier for the pluralist to meet. None satisfies a key constraint that has been placed on Benacerraf’s challenge. However, I argue that Benacerraf’s challenge could be the challenge to show that our set-theoretic beliefs are safe – i.e., to show that we could not have easily had false ones. Whether the pluralist is, in fact, better positioned to show that our set-theoretic beliefs are safe turns on a broadly empirical conjecture which is outstanding. If this conjecture proves to be false, then it is unclear what the epistemological argument for set-theoretic pluralism is supposed to be. (shrink)

Despite playing an important role in epistemology, philosophy of science, and more recently in moral philosophy and aesthetics, the nature of understanding is still much contested. One attractive framework attempts to reduce understanding to other familiar epistemic states. This paper explores and develops a methodology for testing such reductionist theories before offering a counterexample to a recently defended variant on which understanding reduces to what an agent knows.

Recent years have seen fresh impetus brought to debates about the proper role of statistical evidence in the law. Recent work largely centres on a set of puzzles known as the ‘proof paradox’. While these puzzles may initially seem academic, they have important ramifications for the law: raising key conceptual questions about legal proof, and practical questions about DNA evidence. This article introduces the proof paradox, why we should care about it, and new work attempting to resolve it.

A popular account of luck, with a firm basis in common sense, holds that a necessary condition for an event to be lucky, is that it was suitably improbable. It has recently been proposed that this improbability condition is best understood in epistemic terms. Two different versions of this proposal have been advanced. According to my own proposal :361–377, 2010), whether an event is lucky for some agent depends on whether the agent was in a position to know that the (...) event would occur. And according to Stoutenburg :319–334, 2015, Synthese, 1–15, 2018), whether an event is lucky for an agent depends on whether the event was guaranteed or certain to occur in light of the agent’s evidence. In this paper, I argue that we should prefer the account in terms of knowledge over that in terms of evidential certainty. (shrink)

An influential proposal is that knowledge involves safe belief. A belief is safe, in the relevant sense, just in case it is true in nearby metaphysically possible worlds. In this paper, I introduce a distinct but complementary notion of safety, understood in terms of epistemically possible worlds. The main aim, in doing so, is to add to the epistemologist’s tool-kit. To demonstrate the usefulness of the tool, I use it to advance and assess substantive proposals concerning knowledge and justification.

Contemporary accounts of luck, though differing in pretty much everything, all agree that the concept of luck is descriptive as opposed to normative. This widespread agreement forms part of the framework in which debates in ethics and epistemology, where the concept of luck plays a central role, are carried out. The hypothesis put forward in the present paper is that luck attributions are sensitive to normative considerations. I report five experiments suggesting that luck attributions are influenced by the normative features (...) of the case, and not merely by descriptive notions like agential control or modal fragility. I discuss the implications of this effect for theories of luck and debates in ethics and epistemology. (shrink)

One of the most widely recognised intuitions about knowledge is that knowing precludes believing truly as a matter of luck. On Pritchard’s highly influential modal account of epistemic luck, luckily true beliefs are, roughly, those for which there are many close possible worlds in which the same belief formed in the same way is false. My aim is to introduce a new challenge to this account. Starting from the observation—as documented by a number of recent EEG studies—that our capacity to (...) detect visual stimuli fluctuates with the phase of our neural oscillations, I argue that there can be very close possible worlds in which an actual-world detectable stimulus is undetectable. However, this doesn’t diminish our willingness to attribute knowledge in the case that the stimulus is detectable, even when undetectability would result in the same belief formed in the same way being false. As I will argue at length, the modal account appears unable to accommodate this result. (shrink)

The aim of this paper is to explore the hypothesis that luck is a risk-involving phenomenon. I start by explaining why this hypothesis is prima facie plausible in view of the parallelisms between luck and risk. I then distinguish three ways to spell it out: in probabilistic terms, in modal terms, and in terms of lack of control. Before evaluating the resulting accounts, I explain how the idea that luck involves risk is compatible with the fact that risk concerns unwanted (...) events whereas luck can concern both wanted and unwanted events. I turn to evaluating the modal and probabilistic views and argue, firstly, that they fail to account for the connection between risk and bad luck; secondly, that they also fail to account for the connection between risk and good luck. Finally, I defend the lack of control view. In particular, I argue that it can handle the objections to the probabilistic and modal accounts and that it can explain how degrees of luck and risk covary. (shrink)

Contemporary debates about epistemic luck and its relation to knowledge have traditionally proceeded against a tacit background commitment to cognitive internalism, the thesis that cognitive processes play out inside the head. In particular, safety-based approaches (e.g., Pritchard 2005; 2007; Luper-Foy 1984; Sainsbury 1997; Sosa 1999; Williamson 2000) reveal this commitment by taking for granted a traditional internalist construal of what I call the cognitive fixedness thesis—viz., the thesis that the cognitive process that is being employed in the actual world is (...) always ‘held fixed’ when we go out to nearby possible worlds to assess whether the target belief is lucky in a way that is incompatible with knowledge. However, for those inclined to replace cognitive internalism with the extended mind thesis (e.g., Clark and Chalmers 1998), a very different, ‘active externalist’ version of the cognitive fixedness thesis becomes the relevant one for the purposes of assessing a belief’s safety. The aim here will be to develop this point in a way that draws out some of the important ramifications it has for how we think about safety, luck and knowledge. (shrink)

A bi-level account of trust is developed and defended, one with relevance in ethics as well as epistemology. The proposed account of trust—on which trusting is modelled within a virtue-theoretic framework as a performance-type with an aim—distinguishes between two distinct levels of trust, apt and convictive, that take us beyond previous assessments of its nature, value, and relationship to risk assessment. While Ernest Sosa (2009; 2015; 2017), in particular, has shown how a performance normativity model may be fruitfully applied to (...) belief, my objective is to apply this kind of model in a novel and principled way to trust. I conclude by outlining some of the key advantages of the performance-theoretic bi-level account of trust defended over more traditional univocal proposals. (shrink)

Many widely divergent accounts of luck have been offered or employed in discussing an equally wide range of philosophical topics. We should, then, expect to find some unified philosophical conception of luck of which moral luck, epistemic luck, and luck egalitarianism are species. One of the attempts to provide such an account is that offered by Duncan Pritchard, which he refers to as the modal account. This view commits us to calling an event lucky when it obtains in this world, (...) but fails to obtain in a wide class of nearby possible worlds. In support of this account, Pritchard argues that a theory of luck ought to capture the fact that luck comes in degrees and that luck is closely associated with risk. I argue against this claim by suggesting that an understanding of luck grounded in considerations of probability is better able to satisfy these demands, and that the probability theory better explains exemplary cases of luck like those brought up by Pritchard. (shrink)