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)

The concept of luck is important in various areas of philosophy. In this paper I argue that two prominent accounts of luck, the modal and the probabilistic account of luck, need to be combined to accommodate the various ways in which luck comes in degrees. I briefly sketch such a hybrid account of luck, distinguish it from two similar accounts recently proposed, and consider some objections.

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)

The paper explores applications of Kripke's theory of truth to semantics for anti-luck epistemology, that is, to subjunctive theories of knowledge. Subjunctive theories put forward modal or subjunctive conditions to rule out knowledge by mere luck as to be found in Gettier-style counterexamples to the analysis of knowledge as justified true belief. Because of the subjunctive nature of these conditions the resulting semantics turns out to be non-monotone, even if it is based on non-classical evaluation schemes (...) such as strong Kleene or FDE. This blocks the usual road to fixed-point results for Kripke's theory of truth within these semantics and consequently the paper is predominantly an exploration of fixed point results for Kripke's theory of truth within non-monotone semantics. Using the theory of quasi-inductive definitions we show that in case of the subjunctive theories of knowledge the so-called Kripke jump will have fixed points despite the non-monotonicity of the semantics: Kripke's theory of truth can be successfully applied in the framework of subjunctive theories of knowledge. (shrink)

Clare, the titular character of The Time Traveller's Wife, reflects that "Everything seems simple until you think about it." This might well be a mantra for the whole of philosophy, but a fair few terms tend to stick out. "Knowledge", "goodness" and "happiness" for example, are all pervasive everyday terms that undergo significant philosophical analysis. "Luck", I think, is another one of these terms. Wishing someone good luck in their projects, and cursing our bad luck when success (...) seems so close to our reach or failure could have so easily been otherwise, happens so often that we rarely stop to reflect on what we really mean. Philosophical reflection on the nature of luck has a rich tradition, that is by no stretch confined to the Western philosophical canon. However, it has only very recently become one of the goals of philosophy to provide a clear account of what luck actually amounts to. This, in part, is the goal of this thesis. The thesis has two primary motivations. The first is to offer and defend a general account of luck that overcomes the problems faced by the current accounts of luck that are available in the current philosophical literature. The second is to apply this general account of luck to the areas of metaethics and epistemology where luck has been a pervasive and problematic concept, and demonstrate how this account of luck may resolve or further illuminate some of the problems that the notion has generated. The thesis is roughly split into two parts. The first half of the thesis focuses on the former objective of offering an account of luck. Chapter 1 offers a selected history of the philosophy of luck that spans from the Ancient Greeks to the present day, so that we might properly situate the current work on luck as part of the broader historical importance of the concept. Chapter 2 will set out the major rival to the theory of luck that I will offer - the lack of control account of luck. LCAL has various iterations across the literature, but is most clearly articulated by Wayne Riggs and E.J. Coffman. Both Coffman and Riggs add and adapt their own conditions to LCAL specifically so that the account may overcome several problems that have been levied against it. These further conditions are not incompatible so, to provide the strongest lack of control account possible, I have combined them to form a lack of control account I have called Combined LCAL - LCAL. The latter part of the chapter pits LCAL against some of the problems that have been raised against LCAL. However, despite the efforts of both Riggs and Coffman, even LCAL fails to counter some of these objections. For these reasons I have rejected LCAL has a viable candidate for an account of luck. Chapter 3 sets out a modal account of luck, as argued for by Pritchard, where an event is lucky only if it occurs in the actual world, but not in a relevant set of nearby possible worlds. Here I further elaborate on how we should understand the modal distances using Lewisian possible world semantics, and what worlds should be taken into consideration when fixing the relevant set of nearby possible worlds. I argue that these relevant sets of worlds should be fixed according to the domain of inquiry of which the luck is being applied - this I call the type of luck. Examples of this is the current literature are resultant luck - the type of luck concerned with the results of our actions, and veritic luck - the type of luck concerned with the modal safety of our belief formation. Due to the multitude of types of luck across disciplinary areas, a general modal account of luck requires flexibility in what factors should fix the relevant sets of possible worlds. I achieve this by providing a [TYPE] function for the general modal account of luck, which is used as a mean of inserting the relevant fixing conditions for any domain of inquiry. Chapter 3, in a similar vein to Chapter 2, pits the general modal account of luck against some of the problems that have been levied against MAL, specifically the Buried Treasure problem raised by Lackey and the agent causation problem as raised by Levy. More successfully, the modal account offered stands up against these criticisms. For these reasons, the modal condition understood with the [TYPE] function and Lewisian semantics concerning modal distances, will be adopted to make up one half of the conditions for my account of luck. Chapter 4 will look at the second condition for an account of luck - the significance condition. The chapter will set out the reasons for adopting a significance condition at all, and some of the ways in which the condition has been articulated by Rescher, Pritchard and Ballantyne. All of these current views of the significance condition will be found wanting due to their inability to make sense of certain kinds of luck in specific normative domains. For example, Ballantyne's account of significance focuses on the interests of an agent, yet for certain types of moral luck, the interests of the agent are irrelevant. Instead, I propose a relativised significance condition, where the value of the event is relative to the value of the normative domain in which the luck is being ascribed. Epistemic luck requires a focus on the epistemic significance of the event for the agent, moral luck requires a focus on the moral or ethical significance of the event for the agent, and so on. This I call the kind of luck. Similar to the [TYPE] function for the modal condition for luck, the significance condition requires a [NORMATIVE DOMAIN] function where the relevant normative domain can be inserted depending on the kind of luck. This version of the significance condition will be conjoined with the modal condition as set out in Chapter 3 to form the correct general account of luck. Chapter 5 is the first chapter of the second half of the thesis that concerns applying the account of luck set out in part 1 to more specific domains of inquiry. Chapter 5 concerns moral luck, more specifically, resultant moral luck. Moral luck has traditionally been understood in terms of lack of control. This chapter looks at how Pritchard and Driver have attempted to understand moral luck using modal conditions. However, it is argued that these attempts would be more successful if we adopted the account of luck that I have offered in previous chapters. The chapter will go on to look at two possible problems that may be faced by this modal account of luck, and how it may resolve these problems. Chapter 6, the final chapter, looks at epistemic luck, specifically how the adoption of the modal account I have offered resolves a particular problem targeted at anti-luck epistemology by Ballantyne. The problem, Ballantyne argues, is that given that luck requires a significance condition, the degree of significance affects the degree of luck and that the degree of luck involved in our belief formation affects whether we are in a position to know the target proposition, that the result is that degree of significance affects our ability to know. For at least some instances of this - such as the aesthetic significance that we assign to the target proposition - the result will be that non-epistemic factors that have no relevance at all whether an agent is in a position to know will affect that agent's position to know. The resolution to this problem can be found in a two part solution. The first part is to demonstrate that any degree of veritic epistemic luck results in the agent failing to know. The second is that through the relativisation of the significance condition, any type of value will not affect an agent's position to know, only the epistemic value. With these two considerations in mind, the latter of which that can only be held through the adoption of the modal account of luck I have offered, the problem may be resolved. (shrink)

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)

The problem of epistemic luck arises when a person has a true belief that is only true by luck. Before Gettier, it was believed that the element of justification would be sufficient for knowledge; but he showed that it is possible to have a justified true belief that is not an example of knowledge because of the intrusion of luck. Duncan Pritchard has examined epistemic luck in an extensive and detailed manner. He offers a modal (...) account of luck based on two elements: a possible-worlds analysis of counterfactual conditions and a significance condition for the factors that make the truth of the belief lucky. Pritchard argues for the superiority of this account to those that focus on whether the truth of the belief is “accidental” and on whether the believer has sufficient control over the belief. Epistemic luck may be “reflective” or “veritic”. Both undermine knowledge claims, although Pritchard gives the central role to veritic luck in his anti-luck epistemology, which is based on two elements: a safety principle and a condition to ensure that the cognitive faculties of the agent are not impaired. In this article, we will describe, analyze, and subsequently, evaluate the viewpoint of Pritchard. In addition to the critiques offered by others, ambiguities in his counterfactual account of luck and other components of his theory detract from his theory. (shrink)

This thesis examines some of the legal philosophical issues that are implicated in the problem of outcome luck. In the context of criminal law, the problem asks whether we should hold agents criminally liable for the consequences of their actions given that those consequences are never wholly within anyone’s control. I conclude that outcomes should matter to an agent’s liability and punishment, and I make this argument indirectly by examining some of the foundational questions in legal theory. The (...) thesis begins by considering a current trend in some areas of philosophy. This trend involves attempts to address philosophical problems surrounding luck by doing conceptual analyses on the nature of luck. Chapter 1 critically examines modal theories, which conceptualize luck, as well as the related concept of risk, in terms of close possible worlds rather than probabilistic likelihood. I argue that not only are modal theories uninformative, but conceptual analyses on luck are unhelpful in addressing philosophical questions surrounding luck. Chapter 2 then returns to the traditional notion of luck as lack of control, and focuses on the relationship between luck, risk, and culpability. Some theorists argue that culpability, for any offence, is in part a function of the degree of risk the agent imposes on others. In the context of criminal law, degrees of luck and risk can both be understood in terms of degrees of control, so the suggestion that culpability is a function of the level of risk imposed (and thus of the degree of control an agent exercises) is attractive for insulating culpability judgments from luck. However, I argue that this view is mistaken because culpability is only sensitive to risk in reckless actions, but not in purposeful actions. The problem of outcome luck may raise different questions for reckless actions and purposeful actions. Chapter 3 looks at the mens rea element of criminal attempts, which is crucial for understanding the problem of luck in the context of purposeful actions. I discuss a variation of what are sometimes referred to as impossible attempts, which have helped shape current English law. I argue that the current doctrine is largely correct, and that perhaps with the exception of few paradigm sexual offences, the mens rea element for attempts should require a direct intention as to the consequence element of an offence, and knowledge or belief as to the circumstance element of that offence. Chapters 4 and 5 then look at normative justifications of criminal punishment. In order to understand whether outcomes should matter for punishment, we must first understand whether and why punishment is an appropriate response to criminal offending. Here, I defend a communicative theory, where punishment is a communicative process between the offender, the political community, and the victim. What punishment communicates is the appropriate degree of censure that is warranted in response to the offender’s wrongdoing. And in doing this, it publicly recognizes the wrong that has been committed by the offender. Chapter 4 offers a detailed explanation of this account, and argues that the political community’s recognition of wrongdoing is a valuable aim of communication. Chapter 5 then takes up a crucial challenge against communicative theories of punishment, which is that such theories fail to take crime prevention seriously. Against this criticism, I will show that general prevention can in fact be an essential part of communicative punishment. And I will show that it is specifically the political community’s recognition of wrongdoing that entails punishment’s preventive aims. (shrink)

How to accommodate the possibility of lucky true beliefs in necessary (or armchair) truths within contemporary modal epistemology? According to safety accounts 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. It seems to me 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)

Philosophers have developed three theories of luck: the probability theory, the modal theory, and the control theory. To help assess these theories, we conducted an empirical investigation of luck attributions. We created eight putative luck scenarios and framed each in either a positive or a negative light. Furthermore, we placed the critical luck event at the beginning, middle, or end of the scenario to see if the location of the event influenced (...) class='Hi'>luck attributions. We found that attributions of luckiness were significantly influenced by the framing of the scenario and by the location of the critical event. Positively framing an event led to significantly higher lucky ratings than negatively framing the same exact event. And the closer a negative event was placed toward the end of a scenario, the more unlucky the event was rated. Overall, our results raise the possibility that there is no such thing as luck and thereby pose serious challenges to the three prominent theories of luck. We instead propose that luck may be a cognitive illusion, a mere narrative device used to frame stories of success or failure. (shrink)

Many theories of moral status that are intended to ground pro-choice views on abortion tie full moral status to advanced cognitive capabilities. Extant accounts of this kind are inconsistent with the intuition that the profoundly cognitively disabled have full moral status. This paper improves upon these extant accounts by combining an anti-luck condition with Steinbock’s stratification of moral status into two levels. On the resulting view, a being has full moral status if and only if she has moral status (...) and has had advanced cognitive capacities, has the potential to develop such capacities, or would have had such capacities were it not for luck. I argue that modal accounts of luck provide a non-speciesist basis for attributing the lack of advanced cognitive capacities in humans to luck without doing the same for non-human animals. (shrink)

Shelly Kagan has recently defended the view that it is morally worse for a human being to suffer some harm than it is for a lower animal (such as a dog or a cow) to suffer a harm that is equally severe (ceteris paribus). In this paper, I argue that this view receives rather less support from our intuitions than one might at first suppose. According to Kagan, moreover, an individual’s moral status depends partly upon her ‘modal capacities.’ In (...) this paper, I argue that the most natural strategy for justifying Kagan’s theory faces some important challenges. More generally, I argue that philosophers who wish to defend the view that human beings have a higher moral status than that of the lower animals face a dilemma. Either their theory of moral status will imply (unacceptably) that some severely cognitively impaired human beings have a significantly lower moral status than that of typical human beings, or these philosophers will be forced to ground moral status in a set of properties so far removed from a subject’s actual capacities that it will become difficult to see why these kinds of properties should have such moral importance. (shrink)

Philosophers have developed three theories of luck: the probability theory, the modal theory, and the control theory. To help assess these theories, we conducted an empirical investigation of luck attributions. We created eight putative luck scenarios and framed each in either a positive or a negative light. Furthermore, we placed the critical luck event at the beginning, middle, or end of the scenario to see if the location of the event influenced (...) class='Hi'>luck attributions. We found that attributions of luckiness were significantly influenced by the framing of the scenario and by the location of the critical event. Positively framing an event led to significantly higher lucky ratings than negatively framing the same exact event. And the closer a negative event was placed toward the end of a scenario, the more unlucky the event was rated. Overall, our results raise the possibility that there is no such thing as luck and thereby pose serious challenges to the three prominent theories of luck. We instead propose that luck may be a cognitive illusion, a mere narrative device used to frame stories of success or failure. (shrink)

The present paper poses a new problem for moral luck. Defenders of moral luck uncritically rely on a broader theory of luck known as the control theory or the lack of control theory. However, there are are two other analyses of luck in the literature that dominate discussion in epistemology, namely the probability and modal theories. However, moral luck is nonexistent under the probability and modal accounts, but the control (...) class='Hi'>theory cannot explain epistemic luck. While some have posited that “luck” is ambiguous, so that one theory of luck is operative with epistemic luck and a different theory works for moral luck, there are both semantic and philosophical reasons to reject luck ambiguity. Defenders of moral luck must engage with the broader literature on luck and either provide a comprehensive defense of the control theory or concede that moral luck is not a genuine thing in its own right. (shrink)

Imagine that you’ve just spent the last several months reading Don Quixote—and that you’re all but fifty pages away from finishing. Unfortunately for you, the book was due back before you could finish, and so begrudgingly, you turn it back in, having not known what happens in the end. Riddled with curiosity, you make your best guess about Quixote’s eventual fate and suppose it is the most likely scenario. Entirely unbeknownst to you, it turns out that you were right; Quixote’s (...) ultimate destiny was just what you had supposed it would be! What luck! Quite naturally, we would say that, when all is said and done, knowing what happens to Don Quixote in the end is surely better than merely believing truly what happens in the end—the predicament you find yourself in having not actually finished the book. After all, it was just by dumb luck that you guessed the ending right—a point you could deny only on the pain of some embarrassing claim of clairvoyance. We might put the idea more generally by saying that from a purely cognitive standpoint, it is better to know the truth than to stumble upon it by luck. This general idea betrays two distinct insights about knowledge. The first is the insight that while true belief is valuable, knowledge is distinctively so—knowing the truth is valuable in a way that merely having a true belief is not. The second insight here is that you lack knowledge if it’s just by dumb luck that the belief you have is true. Call these the value insight and the anti-luck insight: Value insight: Knowledge is distinctively valuable. Luck insight: Knowledge excludes luck. In contemporary epistemology, and especially over the past five years, separate projects have arisen in correspondence with these distinct intuitions: value-driven epistemology is concerned with issues surrounding the first insight, and projects under the description of anti-luck epistemology have arisen out of the second. Now we might reasonably suppose that whatever it is that makes knowledge relevantly un-lucky would be something we could cite in accounting for what makes knowledge distinctively valuable. This natural idea reflects the thought that the insights about value and luck should not be entirely disconnected. There is a problematic tension though between this reasonable expectation and the resources epistemologists have provided for us to accommodate it. What explains the tension is the fact that value-driven and anti-luck projects in epistemology have by and large been developed apart from each other, each focused on one of our two guiding insights at the expense of the other. Consequently, value-driven epistemology’s focus on the normative but not modal properties of knowledge leaves these two aspects of knowledge disconnected much in the way that anti-luck epistemology’s focus on the modal but not the normative properties of knowledge leaves these same aspects disconnected. The lacuna here between what value driven epistemologists tell us about what makes knowledge valuable and what the anti-luck epistemologists tell us about what makes knowledge exclude luck is troubling. We may resist that there should be such a disconnect if we avoid the common flaw shared by each of these projects pursued in isolation from the other. The flaw here is essentially one of naivety: that of supposing that we can give an account of knowledge exclusively in terms of conditions that would accommodate one of the two insights, while still managing to account for the other insight—which itself we did not appeal to directly in our theory of what knowledge is—e.g. in the analysis provided of it. This is the flaw behind the value-driven approaches that think about knowledge in terms of valuable properties they can’t explain to ensure modal robustness and the anti-luck projects that think of knowledge in terms of modal properties into which we can’t well smuggle the normativity needed to explain its value. To avoid this flaw, then, we should let both of these insights dictate the conditions our analysis offers as essential to knowing. The project with which I’ll be engaging here develops substantially on this widely overlooked and promising idea. (shrink)

This essay offers a rearticulation and defence of the modal account of luck that the author developed in earlier work . In particular, the proposal is situated within a certain methodology, a component of which is paying due attention to the cognitive science literature on luck ascriptions. It is shown that with the modal account of luck properly articulated it can adequately deal with some of the problems that have recently been offered against it, and (...) that the view has a number of attractions over competing proposals, such as the lack of control account. (shrink)

According to the canonical formulation of the modal account of luck [e.g. Pritchard (2005)], an event is lucky just when that event occurs in the actual world but not in a wide class of the nearest possible worlds where the relevant conditions for that event are the same as in the actual world. This paper argues, with reference to a novel variety of counterexample, that it is a mistake to focus, when assessing a given event for luckiness, on (...) events distributed over just the nearest possible worlds. More specifically, our objection to the canonical formulation of the modal account of luck reveals that whether an event is lucky depends crucially on events distributed over all possible worlds–viz., across the modal universe. It is shown that an amended modal account of luck which respects this point has the additional virtue of avoiding a notable kind of counterexample to modal accounts of luck proposed by Lackey (2008). (shrink)

In a recent paper I argued that agent causation theorists should be compatibilists. In this paper, I argue that compatibilists should be agent causation theorists. I consider six of the main problems facing compatibilism: (i) the powerful intuition that one can't be responsible for actions that were somehow determined before one was born; (ii) Peter van Inwagen's modal argument, involving the inference rule (β); (iii) the objection to compatibilism that is based on claiming that the ability to do otherwise (...) is a necessary condition for freedom; (iv) "manipulation arguments," involving cases in which an agent is manipulated by some powerful being into doing something that he or she would not normally do, but in such a way that the compatibilist's favorite conditions for a free action are satisfied; (v) the problem of constitutive luck; and (vi) the claim that it is not fair to blame someone for an action if that person was determined by forces outside of his or her control to perform that action. And in the case of each of these problems, I argue that the compatibilist has a much more plausible response to that problem if she endorses the theory of agent causation than she does otherwise. (shrink)

Discrimination is a central epistemic capacity but typically, theories of discrimination only use discrimination as a vehicle for analyzing knowledge. This paper aims at developing a self-contained theory of discrimination. Internalist theories of discrimination fail since there is no compelling correlation between discriminatory capacities and experiences. Moreover, statistical reliabilist theories are also flawed. Only a modal theory of discrimination is promising. Versions of sensitivity and adherence that take particular alternatives into account provide necessary and sufficient conditions on (...) discrimination. Safety in contrast is not sufficient for discrimination as there are cases of safety that are clearly instances of discrimination failure. The developed account of discrimination between objects will be extended to discrimination between kinds and between types. (shrink)

The function of a trait token is usually defined in terms of some properties of other (past, present, future) tokens of the same trait type. I argue that this strategy is problematic, as trait types are (at least partly) individuated by their functional properties, which would lead to circularity. In order to avoid this problem, I suggest a way to define the function of a trait token in terms of the properties of the very same trait token. To able to (...) allow for the possibility of malfunctioning, some of these properties need to be modal ones: a function of a trait is to do F just in case its doing F would contribute to the inclusive fitness of the organism whose trait it is. Function attributions have modal force. Finally, I explore whether and how this theory of biological function could be modified to cover artifact function. (shrink)

This essay offers a rearticulation and defence of the modal account of luck that the author developed in earlier work (e.g., Pritchard ). In particular, the proposal is situated within a certain methodology, a component of which is paying due attention to the cognitive science literature on luck (and risk) ascriptions. It is shown that with the modal account of luck properly articulated it can adequately deal with some of the problems that have recently been (...) offered against it, and that the view has a number of attractions over competing proposals, such as the lack of control account. (shrink)

Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

In Part I, this paper argues that Duncan Pritchard’s version of safety is incompatible with closure. In Part II I argue for an alternative theory that fares much better. Part I begins by reviewing past arguments concerning safety’s problems with closure. After discussing both their inadequacies and Pritchard’s response to them, I offer a modified criticism immune to previous shortcomings. I conclude Part I by explaining how Pritchard’s own arguments make my critique possible. Part II argues that most (...) class='Hi'>modal theories of knowledge will run into problems similar to those found in Pritchard’s Anti-Luck Virtue Epistemology. I hence offer my own theory grounded in risk assessment and explain why and how it does much better. (shrink)

I explain why, from the perspective of knowledge-centric anti-luck epistemology, objective act consequentialist theories of ethics imply skepticism about the moral status of our prospective actions and also tend to be self-defeating, undermining the justification of consequentialist theories themselves. For according to knowledge-centric anti-luck epistemology there are modal anti-luck demands on both knowledge and justification, and it turns out that our beliefs about the moral status of our prospective actions are almost never able to satisfy these (...) demands if objective act consequentialism is true. This kind of applied moral skepticism introduces problematic limits on our ability to use objective act consequentialism’s explanatory power as evidence for its truth. This is, in part, a product of higher-order defeat as I explain in the final section. There is, however, a silver lining for objective act consequentialists. For there is at least one type of objective act consequentialism, prior existence consequentialism, that is poised to avoid at least some of the epistemic problems discussed in this paper. (shrink)

This paper surveys attempts in the recent literature to offer a modal condition on knowledge as a way of resolving the problem of scepticism. In particular, safety-based and sensitivity-based theories of knowledge are considered in detail, along with the anti-sceptical prospects of an explicitly anti-luck epistemology.

In his paper, “Why Every Theory of Luck is Wrong,” Steven D. Hales presents a range of purported counterexamples to every account of luck that has a control condition or a chance condition. He gathers these counterexamples under the headings of lucky necessities, skillful luck, and diachronic luck. He concludes that no account of luck does or even can be developed which adequately handles these cases. In response, a novel account of luck— contrastive (...) luck —is briefly developed in this paper. Contrastive luck, complete with control and modal conditions, meets the challenges posed by Hales’ strongest representative counterexamples. Only space limitations prevent speaking to all. The takeaway is that at least one account of luck evades his charge of defect. Not every theory of luck is wrong. (shrink)

In a series of papers, Bence Nanay has recently put forward and defended a new theory of function, which he calls the ‘Modal Theory of Function’. In this article, I critically address this theory and argue that it fails to fulfill some key desiderata that a satisfactory theory of function must comply with. As a result, I conclude that, whatever property Nanay’s notion of function refers to, it is not the property having the function that (...) is standardly attributed in science. (shrink)

I provide an examination and comparison of modal theories for underwriting different non-modal theories of sets. I argue that there is a respect in which the `standard' modal theory for set construction---on which sets are formed via the successive individuation of powersets---raises a significant challenge for some recently proposed `countabilist' modal theories (i.e. ones that imply that every set is countable). I examine how the countabilist can respond to this issue via the use of regularity (...) axioms and raise some questions about this approach. I argue that by comparing them with the `standard' uncountabilist theory, a new approach that brings in arbitrariness rather than the strict controls of forcing is desirable. (shrink)

Modal constitution theory is one of the most influential solutions to the paradoxes of coincidence, and the problem of personal identity. It rests on three fundamental premises: common-sense objects exist; sometimes objects coincide in space; the coincidence of objects in space requires explanation. In this article, the author offers a critique of the modal theory of constitution. First, the definition of the constitution is examined and a new argument is offered that modal theory either (...) does not provide asymmetry of the constitution or leads to an infinite series of constitutive objects, unsatisfactorily extending ontology. Also, the author demonstrates that possible additions to the constitutive definition, which can make the definition sufficient for asymmetric relation, lead to additional theoretical difficulties, leading to the logical impossibility of constitution relation. Second, the author demonstrates that the theory of constitution offers an unsatisfactory theory of identity because it faces three problems: the overpopulation problem, the epistemic problem, and the personal problem. All of these considerations lead the author to conclude that modal constitution theory is not metaphysically satisfactory. (shrink)

Modal epistemic conditions have played an important role in post-Gettier theories of knowledge. These conditions purportedly eliminate the pernicious kind of luck present in all Gettier-type cases and offer a rather convincing way of refuting skepticism. This motivates the view that conditions of this sort are necessary for knowledge. I argue against this. I claim that modal conditions, particularly sensitivity and safety, are not necessary for knowledge. I do this by noting that the problem cases for both (...) conditions point to a problem that cannot be fixed even by a revised similarity ranking or ordering of worlds. I offer as groundwork a set theoretical analysis of the profiles of the problem cases for safety and sensitivity. I then demonstrate that these conditions fail whenever necessary links constitutive of the epistemic situation actually obtain but are not modally preserved. (shrink)

All metaphors have the logical form “metaphorically, Fx”. “Metaphorically” is a modal operator. If “F” literally denotes the property F and metaphorically denotes the property G, “Metaphorically, Fx” says that x is G in reality because in its home world (Wx) it is F, when (1) x being F is manifest in Wx (2) it is a law of Wx that being F causes being G (3) being G in Wx is essential to x, hence it is G in (...) all possible worlds. For example, Emily Dickinson says that her life is (metaphorically) a loaded gun. This means that the entity x that in the real world is her life, is in its home‐world a loaded gun. A loaded gun is lethal, a trait x manifests in its home world. Therefore in the real world, too, where it is not a loaded gun but a life, x is lethal and, though deceptively (as a life) calm, it is truly dangerous. (shrink)

This paper investigates the prospects for a semantic theory that treats disjunction as a modal operator. Potential motivation for such a theory comes from the way in which modals embed within disjunctions. After reviewing some of the relevant data, I go on to distinguish a variety of modal theories of disjunction. I analyze these theories by considering pairs of conflicting desiderata, highlighting some of the tradeoffs they must face.

The modal account of luck has become very popular and influential in the past decade. More recently, some of its proponents have also put forth a modal account of risk and argued that we ought to apply it to problems both in and out of philosophy. This paper tries to show that modal conceptions of luck and risk are mistaken.

Philosophers and psychologists widely hold that artifact categories – just like biological categories – are individuated by their function. But recent empirical findings in psychology question this assumption. My proposal is to suggest a way of squaring these findings with the central role function should play in individuating artifact categories. But in order to do so, we need to give up on the standard account of artifact function, according to which function is fixed by design, and replace it with a (...) more context-sensitive account, according to which function attributions depend on the explanatory context and, as a result, categorization also depends on the explanatory context, just as the empirical findings from psychology suggest. I argue that the recent ‘modal theory of function’ originally proposed to explain biological function, is capable of providing such an account of artifact function. (shrink)

In this article it is argued that the standard theoretical account of risk in the contemporary literature, which is cast along probabilistic lines, is flawed, in that it is unable to account for a particular kind of risk. In its place a modal account of risk is offered. Two applications of the modal account of risk are then explored. First, to epistemology, via the defence of an anti-risk condition on knowledge in place of the normal anti-luck condition. (...) Second, to legal theory, where it is shown that this account of risk can cast light on the debate regarding the extent to which a criminal justice system can countenance the possibility of wrongful convictions. (shrink)

Relative to any reasonable frame, satisfiability of modal quantificational formulae in which “= ” is the sole predicate is undecidable; but if we restrict attention to satisfiability in structures with the expanding domain property, satisfiability relative to the familiar frames (K, K4, T, S4, B, S5) is decidable. Furthermore, relative to any reasonable frame, satisfiability for modal quantificational formulae with a single monadic predicate is undecidable ; this improves the result of Kripke concerning formulae with two monadic predicates.

Prominent instances of anti-luck epistemology, in particular sensitivity and safety accounts of knowledge, introduce a modal condition on the pertinent belief in terms of closeness or similarity of possible worlds. Very roughly speaking, a belief must continue to be true in close possibilities in order to qualify as knowledge. Such closeness-accounts derive much support from their (alleged) ability to eliminate standard instances of epistemic luck as they appear in prominent Gettier-type examples. The article argues that there are (...) new Gettier-type examples which are grounded in “distant” epistemic luck. It is demonstrated that sensitivity and safety theories cannot handle such examples. (shrink)

Free choice sequences play a key role in the intuitionistic theory of the continuum and especially in the theorems of intuitionistic analysis that conflict with classical analysis, leading many classical mathematicians to reject the concept of a free choice sequence. By treating free choice sequences as potentially infinite objects, however, they can be comfortably situated alongside classical analysis, allowing a rapprochement of these two mathematical traditions. Building on recent work on the modal analysis of potential infinity, I formulate (...) a modal theory of the free choice sequences known as lawless sequences. Intrinsically well-motivated axioms for lawless sequences are added to a background theory of classical second-order arithmetic, leading to a theory I call $MC_{LS}$. This theory interprets the standard intuitionistic theory of lawless sequences and is conservative over the classical background theory. (shrink)

Uygar Abaci presents a comprehensive study of Immanuel Kant's theory of modality - of the notions of possibility, actuality, and necessity. Abaci argues that Kant redefined these notions as ways in which our representations of objects are related to our cognitive faculty and thus as irreducibly subjective, relational, and conceptual.

There is a worry that the ‘major transitions in evolution’ represent an arbitrary group of events. This worry is warranted, and we show why. We argue that the transition to a new level of hierarchy necessarily involves a nonselectionist chance process. Thus any unified theory of evolutionary transitions must be more like a general theory of fortuitous luck, rather than a rigid formulation of expected events. We provide a systematic account of evolutionary transitions based on a second-order (...) regularity of chance events, as stipulated by the ZFEL (Zero Force Evolutionary Law). And in doing so, we make evolutionary transitions explainable and predictable, and so not entirely contingent after all. (shrink)

Some philosophers of fiction – most famously Jerold Levinson1 - have tried to argue that fictional narrators can never be identified with real authors. This argument relies on the claim that narration involves genuine assertion (not just the pretense of assertion that lacks truthfulness) and that real authors are not in a position to assert anything about beings on the fictional plain - given that they don’t rationally believe in their existence. This debate on the status of narrators depends on (...) the idea that fictional beings and beings in the real worlds reside, as it were, at different levels. The assumption that there is a gap separating the levels of fiction and reality serves as a rationale for the claim that real authors could not possibly be en rapport with the fictional characters that they create (e.g. entertain beliefs about them, etc.). (shrink)

This paper contains a positive development and a negative argument. It develops a theory of function loss and shows how this undermines an objection raised against the etiological theory of function in support of the modal theory of function. Then it raises two internal problems for the modal theory of function.

Logic begins but does not end with the study of truth and falsity. Within truth there are the modes of truth, ways of being true: necessary truth and contingent truth. When a proposition is true, we may ask whether it could have been false. If so, then it is contingently true. If not, then it is necessarily true; it must be true; it could not have been false. Falsity has modes as well: a false proposition that could not have been (...) true is impossible or necessarily false; one that could have been true is merely contingently false. The proposition that some humans are over seven feet tall is contingently true; the proposition that all humans over seven feet tall are over six feet tall is necessarily true; the proposition that some humans are over seven feet tall and under six feet tall is impossible, and the proposition that some humans are over nine feet tall is contingently false. Of these four modes of truth, let us focus on necessity, plus a fifth: possibility. A proposition is possible if it is or could have been true; hence propositions that are either necessarily true, contingently true, or contingently false are possible. Notions that are similar to the modes of truth in being concerned with what might have been are called modal. Dispositions are modal notions, for example the disposition of fragility. Relatedly, there are counterfactual conditionals, for example “if this glass were dropped, it would break.” And the notion of supervenience is modal.1 But let us focus here on necessity and possibility. Modal words are notoriously ambiguous (or at least context-sensitive2). I may reply to an invitation to give a talk in England by saying “I can’t come; I have to give a talk in California the day before”. This use of “can’t” is perfectly appropriate. But it would be equally appropriate for me to say that I could cancel my talk in California (although that would be rude) and give the talk in England instead. What I cannot do is give both talks.. (shrink)

the theory of modal groups is an abstract theory that may be used to show formal similarities between various formulations of epistemic logics (eg Hintikka, Chisholm, and von Wright) and formal systems in other domains.

The veiled recession frame has served several times in the literature to provide examples of modal logics failing to have certain desirable properties. Makinson [4] was the first to use it in his presentation of a modal logic without the finite model property. Thomason [5] constructed a (rather complicated) logic whose Kripke frames have an accessibility relation which is reflexive and transitive, but which is satisfied by the (non-transitive) veiled recession frame, and hence incomplete. In Van Benthem [2] (...) the frame was an essential tool to find simple examples of incomplete logics, axiomatized by a formula in two proposition letters of degree 2, or by a formula in one proposition letter of degree 4 (the degree of a modal formula is the maximal number of nested occurrences of the necessity operator in ). In [3] we showed that the modal logic determined by the veiled recession frame is incomplete, and besides that, is an immediate predecessor of classical logic (or, more precisely, the modal logic axiomatized by the formula pp), and hence is a logic, maximal among the incomplete ones. Considering the importance of the modal logic determined by the veiled recession frame, it seems worthwhile to ask for an axiomatization, and in particular, to answer the question if it is finitely axiomatizable. In the present paper we find a finite axiomatization of the logic, and in fact, a rather simple one consisting of formulas in at most two proposition letters and of degree at most three. (shrink)

Many theories assimilate the idioms of modality to those of quantification; they hold that so-and-so is possible iff there is a "world" at which it is true that so-and-so. "Modal realism" identifies worlds with certain concrete particulars, and truth at a world with what is true of it. Rival "ersatz" theories identify worlds with certain abstract entities and identify what is true at them with what they represent. ;David Lewis argues that pre-theoretic modal intuitions are best explained by (...) modal realism. I try to make a case for ersatzism. ;First, I argue that modal realism is flawed on the grounds that it entails the impossibility of certain intuitively possible spatiotemporal structures; it fails to explain fully even those intuitions with which it is compatible; and it renders the origin of modal knowledge mysterious. ;Next, I argue that objections to ersatzism are not conclusive. ;Lewis objects that even a generic version of ersatzism requires an unnameable and maybe unintelligible primitive relation. I suggest that the problems with naming are perfectly general; they have nothing to do with metaphysical theories of modality in particular. And I suggest a solution taken from Lewis himself. I also argue that any purported unintelligibility is due to illegitimately assimilating the relation to spatiotemporal relations. ;Finally, I consider some difficulties with a version of ersatzism that aims to reduce modality to impure set-theory. One concerns the accommodation of intuitions about properties that are not, but might have been, instantiated. Another concerns accommodation of intuitions about relations of exclusion and entailment among properties. I suggest that these difficulties are due to faulty assumptions about the nature of properties rather than any fundamental flaws in this ersatz approach. So I propose an account of properties that when incorporated into ersatzism circumvents these difficulties and allows it to claim the advantages of modal realism without its drawbacks. Unlike traditional accounts, this takes the essence of a property to consist in its role in imposing a certain classificational structure on the particulars that instantiate it, rather than in any unique and irreducible "quiddity". (shrink)

ABSTRACTWe conducted two studies to determine whether there is a relationship between dispositional optimism and the attribution of good or bad luck to ambiguous luck scenarios. Study 1 presented five scenarios that contained both a lucky and an unlucky component, thereby making them ambiguous in regard to being an overall case of good or bad luck. Participants rated each scenario in toto on a four-point Likert scale and then completed an optimism questionnaire. The results showed a significant (...) correlation between optimism and assignments of luck: more optimistic people rated the characters in the ambiguous scenarios as more lucky while more pessimistic people rated the same characters in the same scenarios as more unlucky. Study 2 separated the good and bad luck components of the study 1 scenarios and presented the components individually to a new group of participants. Participants rated the luckiness of each component on the same four-point scale and then completed the optimism questionnaire. We found... (shrink)

ABSTRACTRecent debate over the semantics and pragmatics of epistemic modals has focused on intuitions about cross-contextual truth-value assessments. In this paper, we advocate a different approach to evaluating theories of epistemic modals. Our strategy focuses on judgments of the incompatibility of two different epistemic possibility claims, or two different truth value assessments of a single epistemic possibility claim. We subject the predictions of existing theories to empirical scrutiny, and argue that existing contextualist and relativist theories are unable to account for (...) the full pattern of observed judgments. As a way of illustrating the theoretical upshot of these results, we conclude by developing a novel theory of epistemic modals that is able to predict the results. (shrink)