Let p be prime number, K be a p‐adically closed field, a semi‐algebraic set defined over K and the lattice of semi‐algebraic subsets of X which are closed in X. We prove that the complete theory of eliminates quantifiers in a certain language, the ‐structure on being an extension by definition of the lattice structure. Moreover it is decidable, contrary to what happens over a real closed field for. We classify these ‐structures up to elementary equivalence, and get in particular (...) that the complete theory of only depends on m, not on K nor even on p. As an application we obtain a classification of semi‐algebraic sets over countable p‐adically closed fields up to so‐called “pre‐algebraic” homeomorphisms. (shrink)

Given an uncountable regular cardinal κ, we study the structural properties of the class of all sets of functions from κ to κ that are definable over the structure 〈H,∈〉 by a Σ1-formula with parameters. It is well known that many important statements about these classes are not decided by the axioms of ZFC together with large cardinal axioms. In this paper, we present other canonical extensions of ZFC that provide a strong structure theory for these classes. These axioms are (...) variations of the Maximality Principle introduced by Stavi and Väänänen and later rediscovered by Hamkins. (shrink)

We study closure properties of measurable ultrapowers with respect to Hamkin's notion of freshness and show that the extent of these properties highly depends on the combinatorial properties of the underlying model of set theory. In one direction, a result of Sakai shows that, by collapsing a strongly compact cardinal to become the double successor of a measurable cardinal, it is possible to obtain a model of set theory in which such ultrapowers possess the strongest possible closure properties. In the (...) other direction, we use various square principles to show that measurable ultrapowers of canonical inner models only possess the minimal amount of closure properties. In addition, the techniques developed in the proofs of these results also allow us to derive statements about the consistency strength of the existence of measurable ultrapowers with non-minimal closure properties. (shrink)

Montefiore and Formosa (Ethics Inf Technol 24:31, 2022) provide a useful way of narrowing the Gamer’s Dilemma to cases where virtual murder seems morally permissible, but not virtual child molestation. They then resist the dilemma by theorising that the intuitions supporting it are not moral. In this paper, I consider this theory to determine whether the dilemma has been successfully resisted. I offer reason to think that, when considering certain variations of the dilemma, Montefiore and Formosa’s theory may not be (...) the most likely theory available to us. (shrink)

In this paper I reconstruct Hegel’s famous critique of irony by drawing on present-day vice epistemology. I argue that the categories of contemporary theories of epistemic vices are sufficient to classify a type of irony as a vicious stance. Yet they fail to grasp the property in virtue of which irony deserves criticism. I show that, for Hegel, this feature is intellectual pride. In the remainder of the paper, I specify the axiological, metaphysical, and epistemological background assumptions which guide (...) the self-assessment of proud persons according to Hegel. Finally, I throw some light on the theoretical presuppositions of Hegel’s account of irony and pride. (shrink)

Purpose This paper aims to evaluate a potential resolution to the gamer’s dilemma that arises from Gary Young’s metaethical theory of constructive ecumenical expressivism. Design/methodology/approach In this paper, the gamer’s dilemma is reformulated as a paradox and the potential resolution is evaluated in light of this new formulation. Findings The author argues that this resolution does resolve the dilemma, but CEE itself has limited appeal. Originality/value This paper contributes to the growing scholarship dedicated to resolving the gamer’s dilemma.

This paper addresses questions of universality related to ontological engineering, namely aims at substantiating (negative) answers to the following three basic questions: (i) Is there a ‘universal ontology’?, (ii) Is there a ‘universal formal ontology language’?, and (iii) Is there a universally applicable ‘mode of reasoning’ for formal ontologies? To support our answers in a principled way, we present a general framework for the design of formal ontologies resting on two main principles: firstly, we endorse Rudolf Carnap’s principle of logical (...) tolerance by giving central stage to the concept of logical heterogeneity, i.e. the use of a plurality of logical languages within one ontology design. Secondly, to structure and combine heterogeneous ontologies in a semantically well-founded way, we base our work on abstract model theory in the form of institutional semantics, as forcefully put forward by Joseph Goguen and Rod Burstall. In particular, we employ the structuring mechanisms of the heterogeneous algebraic specification language HetCasl for defining a general concept of heterogeneous, distributed, highly modular and structured ontologies, called hyperontologies. Moreover, we distinguish, on a structural and semantic level, several different kinds of combining and aligning heterogeneous ontologies, namely integration, connection, and refinement. We show how the notion of heterogeneous refinement can be used to provide both a general notion of sub-ontology as well as a notion of heterogeneous equivalence of ontologies, and finally sketch how different modes of reasoning over ontologies are related to these different structuring aspects. (shrink)

We show that many large cardinal notions up to measurability can be characterized through the existence of certain filters for small models of set theory. This correspondence will allow us to obtain a canonical way in which to assign ideals to many large cardinal notions. This assignment coincides with classical large cardinal ideals whenever such ideals had been defined before. Moreover, in many important cases, relations between these ideals reflect the ordering of the corresponding large cardinal properties both under direct (...) implication and consistency strength. (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)

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)

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)

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)

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)

When you type the word “serendipity” in a word-processor application such as Microsoft Word, the autocorrection engine suggests you choose other words like “luck” or “fate”. This correcting act turns out to be incorrect. However, it points to the reality that serendipity is not a familiar English word and can be misunderstood easily. Serendipity is a very much scientific concept as it has been found useful in numerous scientific discoveries, pharmaceutical innovations, and numerous humankind’s technical and technological advances. Therefore, (...) there have been many books written around the concept. So why do we need this additional book? This is not just another book about serendipity. It has evolved from the Editor’s question lingering for a decade after finishing his widely cited article (coauthored with Prof. Nancy K. Napier of Boise State University, ID, USA) “Serendipity as a strategic advantage?” in T. Wilkinson’s edited volume Strategic Management in the 21st Century, published by Praeger. The Editor and contributing authors have tried to achieve the following in this title. Demystifying the Serendipity Myth The phenomenon of serendipity has always been thought of as a “miracle”. It is the mystery of human innovation and one of the ultimate secrets of our society. But serendipity is not just a lucky coincidence nor any hidden conspiracy. This book explores the science of the information process behind this seemingly miraculous phenomenon. It connects human society with nature, going back to the root of our existence and looking at the flame of survival to discover the harmony in making creativity. Presenting the nuts and bolts of being an adventurer of science The authors present their conceptual investigations into serendipity’s nature and its mechanism by examining interesting real events and stories. The content is thought-provoking, and readers are led to question and explore their own life stories and problems along the journey of reading this book. Catching an elusive high-value target requires great strategies and efforts. But there are no dark secrets here because this is the “way of nature” – how we humans have always strived for innovation without realizing the blueprints behind such processes. Unlike other books on serendipity, this book will show you that a powerful “secret” is closer than you think. Delivering practical uses for different audiences By understanding the conditionality and survival drivers of serendipity, individuals or organizations can make better decisions on creating the right environment to facilitate the encounter and attainment of this valuable phenomenon. For scientists: With clear explanations of the information processes underlying serendipity, flexible theoretical frameworks of mindsponge and the 3D principle of creativity, researchers are provided with the tools they need to dig deeper into their own fields of study and find practical applications, be it psychology, economics, sociology, or anything that involves innovation (which is, in fact, every scientific discipline). For curious casual readers: Everybody needs innovation to make breakthroughs or spice up one’s life. If you think great ideas come to people randomly from an unknown fairy place, this book will convince you otherwise without taking away that awe and wonder. But above all, you will know how to become more creative, scientifically and straightforwardly, with no snake oil and no weird tricks. For ambitious business people: The flame that brought about great successes throughout human history is within you. But you can only use it if you understand it. While others wait for serendipity to come, you will be able to actively hunt for those precious moments. As it has always been: the best hunters triumph, not the passive wanderers. And in this age of information chaos, finding the golden fruits is not easy. Those from information technology know this problem well, and this book is the treasure map that they have been seeking to navigate that stormy ocean looking for jewels. Like a kingfisher tracking its prey through the water, waiting to gracefully strike, with serendipity, a person seizes the prize of creativity amid the chaos of life. ¤ ¤ ¤ Official introduction: The book explores the nature, underlying causes, and the information processing mechanism of serendipity. It proposes that natural or social survival demands drive serendipity, and serendipity is conditional on the environment and the mindset, on both individual and collective levels. From Darwin's evolution theory to Sun Tzu's war tactics, major innovations throughout human history are unified by this key concept. In the rapidly changing world, information is abundant but rather chaotic. The adaptive power of serendipity allows people to notice treasures within this wild sea, but only for those who understand how it works. To increase the probability of encountering and attaining serendipity, one should employ the mindsponge mechanism and the 3D process of creativity, for without these frameworks, serendipity is truly an elusive target. The book also discusses methods to build environments and cultures rich in navigational and useful information to maximize the chance of finding and capitalizing on serendipity. As a skill, serendipity has a resemblance to how kingfishers observe and hunt their prey. (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.

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)

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)

Humanity has thrown everything we have at implacable luck—novel theologies, entire philosophical movements, fresh branches of mathematics—and yet we seem to have gained only the smallest edge on the power of fortune. The Myth of Luck tells us why we have been fighting an unconquerable foe. Taking us on a guided tour of one of our oldest concepts, we begin in ancient Greece and Rome, considering how Plato, Plutarch, and the Stoics understood luck, before entering the theoretical (...) world of probability and exploring how luck relates to theology, sports, ethics, gambling, knowledge, and present-day psychology. As we travel across traditions, times and cultures, we come to realize that it’s not that as soon as we solve one philosophical problem with luck that two more appear, like heads on a hydra, but rather that the monster is altogether mythological. We cannot master luck because there is nothing to defeat: luck is no more than a persistent and troubling illusion. By introducing us to compelling arguments and convincing reasons that explain why there is no such thing as luck, we finally see why in a very real sense we make our own luck, that luck is our own doing. The Myth of Luck helps us to regain our own agency in the world - telling the entertaining story of the philosophy and history of luck along the way. (shrink)

In a recent article, Meghan Griffith (American Philosophical Quarterly 47:43–56, 2010) argues that agent-causal libertarian theories are immune to the problem of luck but that event-causal theories succumb to this problem. In making her case against the event-causal theories, she focuses on Robert Kane’s event-causal theory. I provide a brief account of the central elements of Kane’s theory and I explain Griffith’s critique of it. I argue that Griffith’s criticisms fail. In doing so, I note some (...) important respects in which Kane’s view is unclear and I suggest a plausible way of reading Kane that makes his theory immune to Griffith’s objections. (shrink)

A Theory of Justice, by John Rawls, is widely regarded as the most important twentieth-century work of Anglo-American political philosophy. It transformed the field by offering a compelling alternative to the dominant utilitarian conception of social justice. The argument for this alternative is, however, complicated and often confusing. In this book Jon Mandle carefully reconstructs Rawls's argument, showing that the most common interpretations of it are often mistaken. For example, Rawls does not endorse welfare-state capitalism, and he is not a (...) "luck egalitarian" as is widely believed.Mandle also explores the relationship between A Theory of Justice and the developments in Rawls's later work, Political Liberalism, as well as discussing some of the most influential criticisms in the secondary literature. His book will be an invaluable guide for anyone seeking to engage with this ground-breaking philosophical work"--Provided by publisher. (shrink)

Relational Egalitarianism focuses on the construction of equal social relationships between persons. It strongly opposes luck egalitarianism, which understands equality as a distributive ideal. In Cohen’s theory of justice, luck egalitarianism and relational egalitarianism simultaneously exist, and Cohen provides arguments corresponding to each. In this paper, we explore the manifestation of tension between these two forms of egalitarianism in his theory. In addition, we also reconstruct some possible solutions provided by Cohen to soften this tension, including the three (...) approaches of market mechanism, egalitarian ethos and value pluralism, and find them to be unsuccessful. This tension is a serious challenge that needs to be addressed in Cohen’s theory of justice. (shrink)

This article contributes to the critical engagement with luck egalitarianism by advancing two arguments. Firstly, it questions the cogency of the dichotomies – e.g., luck/choice, person/circumstance, agency/structure – and the accompanying moral ideal of pure voluntarism. This makes it difficult for luck egalitarianism to dissect appropriately the inequalities embedded in social relations, such as social networks and involuntary associations, in which voluntariness and contingency as well as agency and structure are intertwined. Secondly, it suggests that the relational (...) approach, which has been developed, inter alia, in the empirical study of inequality, provides a morally and practically adequate perspective on egalitarian justice. The relational approach achieves this by converging upon those in‐between social relations that are irreducible to the macro‐level structure and to micro‐level agency. Moreover, a relationally sensitive perspective on inequality can adeptly respond to the difficulties that luck‐egalitarian theories encounter. (shrink)

This book is an original—the first-ever treatment of the mathematics of Luck. Setting out from the principle that luck can be measured by the gap between reasonable expectation and eventual realization, the book develops step-by-step a mathematical theory that accommodates the entire range of our pre-systematic understanding of the way in which luck functions in human affairs. In so moving from explanatory exposition to mathematical treatment, the book provides a clear and accessible account of the way in (...) which luck assessment enters into the calculations of rational decision theory. (shrink)

Luck egalitarianism assigns a central role to personal responsibility in egalitarian justice. In the context of healthcare, luck egalitarianism is the view that the distribution of medical and healthcare resources—or common resources in general—should respond to the (im)prudence of individuals. Recently, Joar Björk, Gert Helgesson, and Niklas Juth have argued that it is impractical to use luck egalitarianism as a normative framework in healthcare because it has no reasonable way of dealing with the imprudent. In response to (...) their argument, this paper first suggests that the epistemic problems of applying luck egalitarianism to the healthcare context raised by Björk et al. can be circumvented by using the exemption system as a policy application of luck egalitarian healthcare justice. This paper then shows that an _ex ante_ policy, a tax system with refunds, can reasonably be adopted as a luck egalitarian institutional design of healthcare policy. We argue that the proposed conception of luck egalitarianism can deal with the problem of differential option luck. Finally, we show that the threshold problem for the definition of imprudence does not refute the proposed _ex ante_ policy. (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)

One of the foremost egalitarian theories in recent years, luck egalitarianism, has recently been subjected to the charge that it is in fact incoherent. This charge is brought by David Miller who highlights two dimensions of luck egalitarianism: on the one hand a commitment to the justice of certain inequalities arising from responsible choices; on the other a commitment to injustice of brute inequalities. The putative incoherence emerges in cases where the inequalities that justice requires on the (...) basis of individuals' responsible choices also entail brute luck inequalities for which there are the very same grounds of justice to condemn. Here I argue that the charge of incoherence against luck egalitarianism fails. In service of this I clarify the quite specific sense in which luck egalitarianism requires inequalities and demonstrate the coherence of this with its condemnation of other inequalities. (shrink)

The distinguished philosopher Robert M. Adams presents a major work on virtue, which is once again a central topic in ethical thought. A Theory of Virtue is a systematic, comprehensive framework for thinking about the moral evaluation of character, proposing that virtue is chiefly a matter of being for what is good, and that virtues must be intrinsically excellent and not just beneficial or useful.

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)

Explores the embodied aspects of ownership and private property as these emerge in a range of American literary texts across the late eighteenth and early nineteenth century.

Much of the recent philosophical literature about distributive justice and equality in the domestic context has been dominated by a family of theories now often called ‘luck egalitarianism’, according to which it is unfair if some people are worse off than others through no choice or fault of their own. This principle has also found its way into the literature about global justice. This paper explores some difficulties that this principle faces: it is largely insensitive to the causes (...) of global inequality, and it is so demanding that it can only give rise to weak moral claims. I go on to argue that a) understanding justice claims as merely weak claims rests on an implausible and impractical concept of justice, and b) using the global luck egalitarian argument in practical discourse is likely to lead to misunderstanding, and to be counterproductive if the aim is to tackle global inequality. While these considerations do not suffice to make a conclusive case against the luck egalitarian principle, they should be acknowledged by global luck egalitarians – as some similar problems have indeed been by domestic luck egalitarians – and need to be addressed. (shrink)

Luck egalitarianism makes a fundamental distinction between inequalities for which agents are responsible and inequalities stemming from luck. I give several reasons to find luck egalitarianism a compelling view of distributive justice. I then argue that it is an incomplete theory of equality. Luck egalitarianism lacks the normative resources to achieve its ends. It is unable to specify the prior conditions under which persons are situated equivalently such that their choices can bear this tremendous weight. This (...) means that luck egalitarians need to become pluralists who understand equality not merely in terms of choice, luck, and responsibility. After developing my critical argument that luck egalitarianism is incomplete, I sketch a strategy for rehabilitating and filling out the 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)

Much of the recent philosophical literature about distributive justice and equality in the domestic context has been dominated by a family of theories now often called ‘luck egalitarianism’, according to which it is unfair if some people are worse off than others through no choice or fault of their own. This principle has also found its way into the literature about global justice. This paper explores some difficulties that this principle faces: it is largely insensitive to the causes (...) of global inequality, and it is so demanding that it can only give rise to weak moral claims. I go on to argue that a) understanding justice claims as merely weak claims rests on an implausible and impractical concept of justice, and b) using the global luck egalitarian argument in practical discourse is likely to lead to misunderstanding, and to be counterproductive if the aim is to tackle global inequality. While these considerations do not suffice to make a conclusive case against the luck egalitarian principle, they should be acknowledged by global luck egalitarians – as some similar problems have indeed been by domestic luck egalitarians – and need to be addressed. (shrink)

Much of the recent philosophical literature about distributive justice and equality in the domestic context has been dominated by a family of theories now often called ‘luck egalitarianism’, according to which it is unfair if some people are worse off than others through no choice or fault of their own. This principle has also found its way into the literature about global justice. This paper explores some difficulties that this principle faces: it is largely insensitive to the causes (...) of global inequality, and it is so demanding that it can only give rise to weak moral claims. I go on to argue that a) understanding justice claims as merely weak claims rests on an implausible and impractical concept of justice, and b) using the global luck egalitarian argument in practical discourse is likely to lead to misunderstanding, and to be counterproductive if the aim is to tackle global inequality. While these considerations do not suffice to make a conclusive case against the luck egalitarian principle, they should be acknowledged by global luck egalitarians – as some similar problems have indeed been by domestic luck egalitarians – and need to be addressed. (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)

"An important contribution to contemporary jurisprudential debate and to legal thought more generally, Just Interpretations is far ahead of currently available work."--Peter Goodrich, author of Oedipus Lex "I was struck repeatedly by the clarity of expression throughout the book. Rosenfeld's description and criticism of the recent work of leading thinkers distinguishes his work within the legal theory genre. Furthermore, his own theory is quite original and provocative."--Aviam Soifer, author of Law and the Company We Keep.

Explores the embodied aspects of ownership and private property as these emerge in a range of American literary texts across the late eighteenth and early nineteenth century.

A central argument of Alfred Mele's Free Will and Luck (2006) is that the problem of luck poses essentially the same problem for all the main indeterministic accounts of free will. Consequently, there is no advantage is certain theories (notably, agent-causal theories) in their capacity to respond to the problem of luck. I argue that Mele has not made a persuasive case for these claims.

Goldman (1967) proposed that a subject s knows p if and only if p is appropriately causally connected to s’s believing p. He later on abandoned this theory (Goldman, 1976). The main objection to the theory is that the causal connection required by Goldman is compatible with certain problematic forms of luck. In this paper we argue that Goldman’s causal theory of knowledge can overcome the luck problem if causation is understood along interventionist lines. We also show that (...) the modified theory leads to the correct results in contexts involving other prominent forms of epistemic luck and compare it with other accounts on the market. (shrink)

South Africa is a highly distributively unequal country, and its inequality continues to be largely along racial lines. Such circumstances call for assessment from the perspective of contemporary theories of distributive justice. Three such theories—Rawlsian justice, utilitarianism, and luck egalitarianism—are described and applied. Rawls' difference principle recommends that the worst off be made as well as they can be, a standard which South Africa clearly falls short of. Utilitarianism recommends the maximization of overall societal well-being, a goal (...) which South Africa again fails to achieve given its severe inequality and the fact of the diminishing marginal value of money—that a given amount of money tends to produce more utility for a poor person than it does for a rich person. The final theory, luck egalitarianism, aims to make distributions sensitive to individual exercises of responsibility. This view also objects to South Africa's inequality, this time on the basis that the poor are overwhelmingly worse off through no fault or choice of their own. These major theories of distributive justice therefore all propose large-scale redistribution to the benefit of the (predominantly black) poor. Perhaps more surprisingly, all three views also provide support for socio-economic affirmative action, as opposed to South Africa's race-based Black Economic Empowerment. (shrink)

We prove that forp-optimal fields a cell decomposition theorem follows from methods going back to Denef’s paper [7]. We derive from it the existence of definable Skolem functions and strongp-minimality. Then we turn to stronglyp-minimal fields satisfying the Extreme Value Property—a property which in particular holds in fields which are elementarily equivalent to ap-adic one. For such fieldsK, we prove that every definable subset ofK×Kdwhose fibers overKare inverse images by the valuation of subsets of the value group is semialgebraic. Combining (...) the two we get a preparation theorem for definable functions onp-optimal fields satisfying the Extreme Value Property, from which it follows that infinite sets definable over such fields are in definable bijection iff they have the same dimension. (shrink)

This book advances a novel theory of international justice that combines the orthodox liberal notion that the lives of individuals are what ultimately matter morally with the putatively antiliberal idea of an irreducibly collective right of self-governance. The individual and her rights are placed at center stage insofar as political states are judged legitimate if they adequately protect the human rights of their constituents and respect the rights of all others. Yet, the book argues that legitimate states have a moral (...) right to self-determination and that this right is inherently collective, irreducible to the individual rights of the persons who constitute them. Exploring the implications of these ideas, the book addresses issues pertaining to democracy, secession, international criminal law, armed intervention, political assassination, global distributive justice, and immigration. A number of the positions taken in the book run against the grain of current academic opinion: there is no human right to democracy; separatist groups can be morally entitled to secede from legitimate states; the fact that it is a matter of brute luck whether one is born in a wealthy state or a poorer one does not mean that economic inequalities across states must be minimized or even kept within certain limits; most existing states have no right against armed intervention; and it is morally permissible for a legitimate state to exclude all would-be immigrants. (shrink)

We study finitely generated free Heyting algebras from a topological and from a model theoretic point of view. We review Bellissima’s representation of the finitely generated free Heyting algebra; we prove that it yields an embedding in the profinite completion, which is also the completion with respect to a naturally defined metric. We give an algebraic interpretation of the Kripke model used by Bellissima as the principal ideal spectrum and show it to be first order interpretable in the Heyting algebra, (...) from which several model theoretic and algebraic properties are derived. In particular, we prove that a free finitely generated Heyting algebra has only one set of free generators, which is definable in it. As a consequence its automorphism group is the permutation group over its generators. (shrink)

Questions about the role of luck in attributions of moral responsibility have troubled theorists for some time. In this paper I will explicate a position that acknowledges luck as a contributing factor to most, if not all, outcomes and consequences while denying luck the exculpatory role that some theorists contend it plays. I begin by going through the characterization of two perspectives on luck offered by Susan Wolf. From there I outline two necessary conditions for the (...) legitimate attribution of praise or blame. The first condition is that of Control. The second condition is the agent's creation of "undue risk". I revisit Wolfs two perspectives and break down the relationship between the necessary conditions and each perspective. I contend that a legitimate theory of moral responsibility must allow for factors outside of an agent's control when attempting to attribute praise or blame. Luck can be seen as one of these factors and it should not be seen as playing an exculpatory role. (shrink)