Epistemic Luck

A modal analysis of luck, due to Duncan Pritchard, has become quite popular in recent years. There are many reasons to like Pritchard’s analysis, but at least two compelling problems have been identified. So I propose an alternative analysis of luck based on the laws of statistical mechanics. The statistical analysis avoids the two problems facing Pritchard’s analysis, and it has many other attractive features.

Many philosophers think that part of what makes an event lucky concerns how probable that event is. In this paper, I argue that an epistemic probability account of luck successfully resists recent arguments that all theories of luck, including probability theories, are subject to counterexample (Hales 2016). I argue that an event is lucky if and only if it is significant and sufficiently improbable. An event is significant when, given some reflection, the subject would regard the event as significant, and (...) the event’s epistemic probability, determined by the subject’s evidence, is the only kind of probability that directly bears on whether or not the event is lucky. I conclude with some lessons that are applicable to probability theorists of luck generally, including those defending non-epistemic probability theories. (shrink)

How should intellectualists respond to apparent Gettier-style counterexamples? Stanley offers an orthodox response which rejects the claim that the subjects in such scenarios possess knowledge-how. I argue that intellectualists should embrace a revisionary response according to which knowledge-how is a distinctively practical species of knowledge-that that is compatible with Gettier-style luck.

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)

A satisfactory theory of linguistic communication must explain how it is that, through the interpersonal exchange of auditory, visual, and tactile stimuli, the communicative preconditions for the acquisition of testimonial knowledge regularly come to be satisfied. Without an account of knowledge-yielding communication this success condition for linguistic theorizing is left opaque, and we are left with an incomplete understanding of testimony, and communication more generally, as a source of knowledge. This paper argues that knowledge-yielding communication should be modelled on knowledge (...) itself. It is argued that knowledge-yielding communication occurs iff interlocutors coordinate on truth values in a non-lucky and non-deviant way. This account is able to do significant explanatory work: it sheds light on the nature of referential communication, and it allows us to capture, in an informative way, the sense in which interlocutors must entertain similar propositions in order to communicate successfully. (shrink)

I addresses the problem of accommodating the possibility of lucky true beliefs in necessary (or armchair) truths within contemporary modal epistemology. According to modal epistemology luck consists in the modal proximity of a false belief, but a belief in a true mathematical proposition could not easily be false because a proposition believed could never be false. According to Miščević modal stability of a true belief under small changes in the world is not enough, stability under small changes in the cognizer (...) should also (and primarily) be considered. I argue for a more traditional modal reliabilism based on the critical question: how easy is it for a belief to be false, given the way it was formed? A belief (a priori or a posteriori) is then agent-lucky when based on a specific method which might easily lead to a false belief in the target proposition. Miščević suggests a unifying approach in terms of virtue epistemology, but it seems that this approach, if successful, will undermine the project that he started with: formulate an anti-luck condition in the frame of a modal theory of luck. (shrink)

In recent years, some epistemologists have argued that practical factors can make the difference between knowledge and mere true belief. While proponents of this pragmatic thesis have proposed necessary and sufficient conditions for knowledge, it is striking that they have failed to address Gettier cases. As a result, the proposed analyses of knowledge are either lacking explanatory power or susceptible to counterexamples. Gettier cases are also worth reflecting on because they raise foundational questions for the pragmatist. Underlying these challenges is (...) the fact that pragmatic epistemologies not only rely upon normative theories of rational choice but also require externalist standards to rule out epistemic luck. Unfortunately, we lack adequate externalist theories of rational choice. In response, I address these foundational challenges by offering the outlines of an externalist decision theory. While this task is an ambitious one that I cannot hope to complete, I survey the outlines of a decision-theoretic framework on which a richer pragmatic epistemology can be developed. My hope is that this framework opens up new avenues of exploration for the pragmatic epistemologist. (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.

This article argues that justified true beliefs in Gettier cases often are not true due to luck. I offer two ‘unlucky’ Gettier cases, and it's easy enough to generate more. Hence even attaching a broad ‘anti‐luck’ codicil to the tripartite account of knowledge leaves the Gettier problem intact. Also, two related questions are addressed. First, if epistemic luck isn't distinctive of Gettier cases, what is? Second, what do Gettier cases reveal about knowledge?

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)

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 (Steglich-Petersen 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 (2015; forthcoming), 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)

Conventional 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. One sense of luck that is generally recognized to be incompatible with knowledge is environmental luck. While knowledge has traditionally been the primary interest of epistemologists, understanding has recently been receiving significant attention. While there is as of yet little consensus regarding a theory of understanding, one (...) way we can work towards developing such a theory is by considering whether the kinds of factors that are important for determining whether one knows are also important for determining whether one understands. The question I want to address here is the following: is environmental luck incompatible with understanding in the way that is for knowledge? I argue that it is. 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 (at least a traditional conception 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)

I take issue with two claims that Duncan Pritchard makes in his recent book, "Epistemic Luck". The first concerns his safety-based response to the lottery problem; the second his account of the relationship between safety and intellectual virtue.

The acquaintance debate in aesthetics has been traditionally divided between pessimists, who argue that testimony does not provide others with aesthetic knowledge of artworks, and optimists, who hold that acquaintance with an artwork is not a necessary precondition for acquiring aesthetic knowledge. In this paper I propose a reconciliationist solution to the acquaintance debate: while aesthetic knowledge can be had via testimony, aesthetic judgment requires acquaintance with the artwork. I develop this solution by situating it within a virtue aesthetics framework (...) based on Ernest Sosa's virtue epistemology. I go on to apply the solution to the debates on moral testimony and expert testimony. An interesting variant on Gettier cases emerges: cases in which subjects have knowledge, but it has been formed by the wrong competence. (shrink)

Virtue epistemology argues that knowledge is more valuable than Gettierized belief because knowledge is an achievement, but Gettierized belief is not. The key premise in the achievement argument is that achievement is apt (successful because competent) and Gettierized belief is inapt (successful because lucky). I first argue that the intuition behind the achievement argument is based wrongly on the fact that ‘being successful because lucky’ implicates ‘being not competent enough’. I then offer an argument from moral luck to argue that (...) virtue epistemologists should maintain that knowledge is no more valuable than Gettierized belief. (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)

In this paper we argue that knowledge is characteristically safe true belief. We argue that an adequate approach to epistemic luck must not be indexed to methods of belief formation, but rather to explanations for belief. This shift is problematic for several prominent approaches to the theory of knowledge, including virtue reliabilism and proper functionalism (as normally conceived). The view that knowledge is characteristically safe true belief is better able to accommodate the shift in question.

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)

Modal knowledge accounts like sensitivity or safety face a problem when it comes to knowing propositions that are necessarily true because the modal condition is always fulfilled no matter how random the belief forming method is. Pritchard models the anti-luck condition for knowledge in terms of the modal principle safety. Thus, his anti-luck epistemology faces the same problem when it comes to logical necessities. Any belief in a proposition that is necessarily true fulfills the anti-luck condition and, therefore, qualifies as (...) knowledge. Miščević shares Pritchard’s take on epistemic luck and acknowledges the resulting problem. In his intriguing article “Armchair Luck: Apriority, Intellection and Epistemic Luck” Miščević suggests solving the problem by supplementing safety with a virtue theoretic condition-“agent stability”-which he also spells out in modal terms. I will argue that Miščević is on the right track when he suggests adding a virtue-theoretic component to the safety condition. However, it should not be specified modally but rather in terms of performances that manifest competences. (shrink)

A notorious objection to robust virtue epistemology—the view that an agent knows a proposition if and only if her cognitive success is because of her intellectual virtues—is that it fails to eliminate knowledge-undermining luck. Modest virtue epistemologists agree with robust virtue epistemologists that if someone knows, then her cognitive success must be because of her intellectual virtues, but they think that more is needed for knowledge. More specifically, they introduce independently motivated modal anti-luck principles in their accounts to amend the (...) problem of eliminating luck—this makes their views instances of impure virtue epistemology. The aim of the paper is to argue, firstly, that such a move lacks adequate motivation; secondly, that the resulting impure accounts equally fail to handle knowledge-undermining luck. On a more positive note, these results bolster a more orthodox virtue-theoretic approach to knowledge that assigns a fundamental explanatory role to the notion of ability. In this sense, the paper also sketches an account of ability and a corresponding account of knowledge that explains how success from ability is incompatible with success from luck. (shrink)

My thesis examines the nature and value of knowledge and normative implications of its value. With this in mind I examine Greco’s account of knowledge in detail and consider whether it convinces. I argue against the account on a number of fronts; in particular I argue against Greco’s treatment of the Barney and Jenny cases. In doing so I draw on the dialectic in the literature and go beyond it by showing how his treatment of those cases is such as (...) to raise problems for his treatment of other cases. More specifically I argue that Greco’s treatment of the Barney case is such as to threaten his treatment of standard Gettier cases and his treatment of the Jenny case threatens his treatment of the Careless Math Student case. I also consider an alternative virtue epistemic approach offered by Pritchard which I reject. In attempting to overcome the challenges that the Barney and Jenny cases pose I articulate an alternative account according to which what I call “epistemic grace” is a requirement of knowledge. It is via this epistemic grace requirement that I also account for the value of knowledge. Recognition of the value of knowledge serves as the basis for the articulation of the notion of epistemic environmentalism. With epistemic environmentalism in view, trust is analysed and its significance to the gaining of knowledge, albeit knowledge of a certain kind, is considered. Finally, the normative implications of epistemic environmentalism are laid out in a framework to show how findings in epistemic value theory relate to approaches that can provide a basis for justifying intervention or non-intervention in the assisting of the attaining or holding of epistemic goods of value. (shrink)

An epistemological how-possible question asks how knowledge, or knowledge of some specific kind, is possible. The main contention of Duncan Pritchard‟s stimulating comments is that what I call „explanatory minimalism‟ appears to offer us just what we are seeking when we ask such a question. This looks like a problem for me given that I defend a version of explanatory anti-minimalism. Pritchard outlines a version of minimalism inspired by the writings of John McDowell and does not find it obvious that (...) this position is lacking in any relevant respect. Nor do I. My minimalism is moderate rather than extreme but Pritchard‟s objections to anti-minimalism are objections to extreme anti-minimalism. Indeed, his comments do not seem to me to have any direct bearing on what I take to be the fundamental disagreement between minimalism and anti-minimalism. (shrink)

A central intuition many epistemologists seem to have is that knowledge is distinctively valuable. In his paper 'Radical Scepticism, Epistemic Luck and Epistemic Value', Duncan Pritchard rejects the virtue-theoretic explanation of this intuition. This explanation says that knowledge is distinctively valuable because it is a cognitive achievement. It is maintained, in the first place, that the arguments Pritchard musters against the thesis that knowledge is a cognitive achievement are unconvincing. It is argued, in the second place, that even if the (...) arguments against the thesis that knowledge is a cognitive achievement were convincing, there is another explanation of the intuition that knowledge has final value available: the question-relative treatment of knowledge. (shrink)

Epistemic luck is a generic notion used to describe any of a number of ways in which it can be accidental, coincidental, or fortuitous that a person has a true belief. For example, one can form a true belief as a result of a lucky guess, as when one believes through guesswork that “C” is the right answer to a multiple-choice question and one’s belief just happens to be correct. One can form a true belief via wishful thinking; for example, (...) an optimist’s belief that it will not rain may luckily turn out to be correct, despite forecasts for heavy rain all day. One can reason from false premises to a belief that coincidentally happens to be true. One can accidentally arrive at a true belief through invalid or fallacious reasoning. And one can fortuitously arrive at a true belief from testimony that was intended to mislead but unwittingly reported the truth. In all of these cases, it is just a matter of luck that the person has a true belief. -/- Until the twenty-first century, there was nearly universal agreement among epistemologists that epistemic luck is incompatible with knowledge. Call this view “the incompatibility thesis.” In light of the incompatibility thesis, epistemic luck presents epistemologists with three distinct but related challenges. The first is that of providing an accurate analysis of knowledge (in terms of individually necessary and jointly sufficient conditions for “S knows that p,” where ‘S’ represents the knower and ‘p’ represents the proposition known). An adequate analysis of knowledge must succeed in specifying conditions that rule out all instances of knowledge-destroying epistemic luck. The second challenge is to resolve the skeptical paradox that the ubiquity of epistemic luck generates: As will become clear in section 2c, epistemic luck is an all-pervasive phenomenon. Coupling this fact with the incompatibility thesis entails that we have no propositional knowledge. The non-skeptical epistemologist must somehow reconcile the strong intuition that epistemic luck is not compatible with knowledge with the equally evident observation that it must be. The third challenge concerns the special skeptical threat that epistemic luck seems to pose for more reflective forms of knowledge, such as knowing that one knows. Each of these challenges will be explored in the present article. (shrink)

This essay aims to reorient current theorizing about luck as an aid to our discerning this concept's true philosophical significance. After introducing the literature's leading theories of luck, it presents and defends counterexamples to each of them. It then argues that recent luck theorists’ main target of analysis—the concept of an event's being lucky for a subject—is parasitic on the more fundamental notion of an event's being a stroke of luck for a subject, which thesis serves as at least a (...) partial diagnosis of the leading theories’ failure. Next, it develops an analysis of strokes of luck that utilizes insights from the recent luck literature. Finally, having set out a comprehensive new analysis of luck—the Enriched Strokes Account of lucky events—the essay revisits the initial counterexamples to the literature's leading theories and argues that the Enriched Strokes Account properly handles all of them. (shrink)

Luck is at issue when it is a matter of pure chance that a result of significant positive of negative value ensues for someone. Luck differs from fate, which pivots on an individual's condition, and from fortune, which pivots on an individual's talent and effort. It is by luck that you are rich when you win the lottery, by fortune if your wealth comes from talent and hard work, and by fate if you inherit those millions. On this basis luck (...) lies beyond anyone's rational control. With risk as the probability of failure in a chancy situation and the stake as the difference between a favorable and an unfavorable outcome, luck can be measured as the product of these quantities: L = R × S. The condition of humankind in an uncertain world being as it is, luck cannot be eliminated as a key factor of our existence, be it in cognitive, practical, or ethical regards. (shrink)

 Fred comes to realize that if his parents had settled in a more conservative neighborhood, he would have—on the basis of essentially the same evidence—arrived at political views quite different from his actual views. Furthermore, his parents chose between liberal and conservative neighborhoods by tossing a coin. (Sher 2001).

If a subject has a true belief, and she has good evidence for it, and there’s no evidence against it, why should it matter if she doesn’t believe on the basis of the good available evidence? After all, properly based beliefs are no likelier to be true than their corresponding improperly based beliefs, as long as the subject possesses the same good evidence in both cases. And yet it clearly does matter. The aim of this paper is to explain why, (...) and in the process delineate a species of epistemic luck that has hitherto gone unnoticed—what we call propositional epistemic luck—but which we claim is crucial to accounting for the importance of proper basing. As we will see, in order to understand why this type of epistemic luck is malignant, we also need to reflect on the relationship between epistemic luck and epistemic risk. (shrink)

There are three theories of luck in the literature, each of which tends to appeal to philosophers pursuing different concerns. These are the probability, modal, and control views. I will argue that all three theories are irreparably defective; not only are there counterexamples to each of the three theories of luck, but there are three previously undiscussed classes of counterexamples against them. These are the problems of lucky necessities, skillful luck, and diachronic luck. I conclude that a serious reevaluation of (...) the role of luck in philosophy is called for. (shrink)

In almost any domain of endeavour, successes can be attained through skill, but also by dumb luck. An archer’s wildest shots occasionally hit the target. Against enormous odds, some fair lottery tickets happen to win. The same goes in the case of purely cognitive or intellectual endeavours. As inquirers, we characteristically aim to believe truly rather than falsely, and to attain such standings as knowledge and understanding. Sometimes such aims are attained with commendable competence, but of course, not always. Epistemic (...) luck is a species of luck which features in circumstances where a given cognitive success—in the broadest sense, some form of cognitive contact with reality—is attained in a manner that is interestingly lucky—viz., chancy, accidental or beyond our control. In the paradigmatic case, this involves the formation of a belief that is luckily true, and where the subject plausibly deserves little credit for having gotten things right. Although the literature on epistemic luck has focused predominantly on the relationship between luck and propositional knowledge—which is widely taken to exclude luck—epistemologists are increasingly exploring the compatibility of epistemic luck with other kinds of epistemic standings, such as knowledge-how and understanding. (shrink)

Robust Virtue Epistemology maintains that knowledge is achieved just when an agent gets to the truth through, or because of, the manifestation of intellectual virtue or ability. A notorious objection to the view is that the satisfaction of the virtue condition will be insufficient to ensure the safety of the target belief; that is, RVE is no anti-luck epistemology. Some of the most promising recent attempts to get around this problem are considered and shown to ultimately fail. Finally, a new (...) proposal for defending RVE as a kind of anti-luck epistemology is defended. The view developed here turns importantly on the idea that knowledge depends on ability and luck in a way that is gradient, not rigid, and that we know just when our cognitive success depends on ability not rather, but more so, than luck. (shrink)

A certain construal of the Gettier problem is offered, according to which this problem concerns the task of identifying the anti-luck condition on knowledge. A methodology for approaching this construal of the Gettier problem—anti-luck epistemology—is set out, and the utility of such a methodology is demonstrated. It is argued that a range of superficially distinct cases which are meant to pose problems for anti-luck epistemology are in fact related in significant ways. It is claimed that with these cases properly understood, (...) anti-luck epistemology is able to offer a suitable diagnosis of them which doesn’t threaten the necessity of the anti-luck condition for knowledge. (shrink)

In the present paper I argue that luck attributions are structured by points of view. In particular, whether one is prepared to say that an event or a person is lucky is partly determined by one’s temporal perspective. If an event is seen in isolation, at a moment in time, it might not be a matter of luck at all, but when the same event is considered as an element in a temporal series, then it becomes either lucky or unlucky. (...) Since neither temporal point of view enjoys any kind of logical priority or metaphysical privilege, it is not possible to make consistent assignments of luck without first assuming a synchronic or a diachronic point of view. Since no extant theory of luck acknowledges or incorporates such points of view, all fall short of adequacy. This failure matters broadly in philosophy, because understanding luck underwrites a number of philosophical projects. (shrink)

Based on the discussion of a novel version of the Barn County scenario, the paper argues for a new explication of knowledge undermining luck. In passing, an as yet undetected form of benign luck is identified.

The internalism-externalism debate is one of the oldest debates in epistemology. Internalists assert that the justification of our beliefs can only depend on facts internal to us, while externalists insist that justification can depend on additional, for example environmental, factors. Clayton Littlejohn proposes and defends a new strategy for resolving this debate. Focussing on the connections between practical and theoretical reason, he explores the question of whether the priority of the good to the right might be used to defend an (...) epistemological version of consequentialism, and proceeds to formulate a new 'deontological externalist' view. On this view, the justificatory status of a belief depends upon whether it is fit for the purposes of practical reasoning. Only beliefs that meet externalist standards are fit for such a purpose. If we want to understand how a wide range of norms (e.g., moral norms) apply to rational agents regardless of what their evidence or outlook is like, we have to embrace an externalist account of the justification. (shrink)

Luck looms large in numerous different philosophical subfields. Unfortunately, work focused exclusively on the nature of luck is in short supply on the contemporary analytic scene. In his highly impressive recent book Epistemic Luck, Duncan Pritchard helps rectify this neglect by presenting a partial account of luck that he uses to illuminate various ways luck can figure in cognition. In this paper, I critically evaluate both Pritchard’s account of luck and another account to which Pritchard’s discussion draws our attention—viz., that (...) due to Nicholas Rescher. I also assess some novel analyses of luck that incorporate plausible elements of Pritchard’s and Rescher’s accounts. (shrink)