According to authoritative Christian teaching, Jesus Christ is a single person existing in two natures, divinity and humanity. In attempting to understand this claim, the high-scholastic theologians often asked whether there was more than one existence in Christ. John Duns Scotus answers the question with a clear and strongly-formulated yes, and Thomists have sometimes suspected that his answer leads in a heretical direction. But before we can ask whether Scotus‘s answer is acceptable or not, we have to come to a (...) clear understanding of what his answer is. And before we can ask what his answer is, we have to come to a clear understanding of what question or questions he is trying to answer. In this paper I begin by explaining that the question about Christ‘s existence is ambiguous, i.e., that there are actually two questions hidden behind one formulation. Next I look at Scotus‘s writings on the topic in order to determine which question he is really trying to answer, and I argue that he is trying to answer both of them, even though he does not make this clear. Third, I provide an initial look at the answers that he gives. Fourth, I explain why these answers might seem problematic, especially from a Thomistic perspective. Fifth, I explain Scotus‘s answers in more detail and show that they are not problematic in the way that some Thomists have held. Indeed, at least some of Scotus‘s ideas are the very same ideas that Thomas spells out in one of his works. (shrink)

The doctrine of the moral equality of combatants holds that combatants on either side of a war have equal moral status, even if one side is fighting a just war while the other is not. This chapter examines arguments that have been offered for and against this doctrine, including the collectivist position famously articulated by Walzer and McMahan’s influential individualist critique. We also explore collectivist positions that have rejected the moral equality doctrine and arguments that some individualists have offered in (...) its favor. We defend a non-categorical version of the moral equality doctrine, according to which combatants on either side of a just war sometimes (but not always) have equal moral status. On our view, some degree of culpability is necessary for liability, and non-culpable combatants may therefore sometimes remain non-liable even when they fight for an unjust cause. (shrink)

Abstract: In this paper we argue that Robert Kane’s theory of free will cannot accommodate the possibility of a sinless individual who faces morally significant choices because a sinless agent cannot voluntarily accord value to an immoral desire, and we argue that Kane’s theory requires this. Since the Jesus of the historic Christian tradition is held to be sinless, we think Christians should reject Kane’s theory because it seems irreconcilable with historic Christian Christology. We consider two objections to our argument (...) and argue that both fail. (shrink)

In "Evil and the Justice of God", N.T. Wright presses the point that attempting to solve the philosophical problem of evil is an immature response to the existence of evil--a response that belittles the real problem of evil, which is just the fact that evil is bad and needs to be dealt with. As you might expect, I am not inclined to endorse this sort of sweeping indictment of the entire field of research on the philosophical problem of evil. (I (...) sort of doubt that Wright really meant to either.) But I do think that there is a kernel of truth in what I take to be Wright's fundamental objection to attempts to solve the philosophical problem of evil. In the first section of what follows, I will try briefly to explain why. I will then go on to argue that, despite this fact, certain efforts at solving the problem of evil avoid Wright's objection. Indeed, drawing on recent work by Elenore Stump, I will argue that one perfectly legitimate way to try to solve the philosophical problem of evil is to follow precisely what seems to be the main piece of advice in "Evil and the Justice of God": namely, to look more seriously than we have at the attitudes taken toward evil by human authors of and characters in the Bible, and to attend more carefully to what the Bible says about how God deals with evil. (shrink)

The reading abilities of Filipino students have been a challenge for educators and policymakers alike. Despite government efforts to improve literacy rates in the Philippines, recent studies have shown that many students need help with reading comprehension, vocabulary development, and critical thinking skills. This research note examines the current state of reading abilities among Filipino students and potential areas for improvement. The poor reading abilities can be attributed to several factors, including a lack of resources and socioeconomic factors. However, there (...) are identified potential areas for improvement, such as promoting early literacy programs, investing in teacher training, and developing reading materials that are culturally relevant and engaging for Filipino students. These findings have important implications for education policies and practices in the Philippines and for educators and researchers seeking to improve reading abilities among Filipino students. (shrink)

I defend the principle of Phenomenal Conservatism, on which appearances of all kinds generate at least some justification for belief. I argue that there is no reason for privileging introspection or intuition over perceptual experience as a source of justified belief; that those who deny Phenomenal Conservatism are in a self-defeating position, in that their view cannot be both true and justified; and that thedemand for a metajustification for Phenomenal Conservatism either is an easily met demand, or is an unfair (...) or question-begging one. (shrink)

The Protein Ontology (PRO; http://proconsortium.org) formally defines protein entities and explicitly represents their major forms and interrelations. Protein entities represented in PRO corresponding to single amino acid chains are categorized by level of specificity into family, gene, sequence and modification metaclasses, and there is a separate metaclass for protein complexes. All metaclasses also have organism-specific derivatives. PRO complements established sequence databases such as UniProtKB, and interoperates with other biomedical and biological ontologies such as the Gene Ontology (GO). PRO relates to (...) UniProtKB in that PRO’s organism-specific classes of proteins encoded by a specific gene correspond to entities documented in UniProtKB entries. PRO relates to the GO in that PRO’s representations of organism-specific protein complexes are subclasses of the organism-agnostic protein complex terms in the GO Cellular Component Ontology. The past few years have seen growth and changes to the PRO, as well as new points of access to the data and new applications of PRO in immunology and proteomics. Here we describe some of these developments. (shrink)

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

Parsimony is a virtue of empirical theories. Is it also a virtue of philosophical theories? I review four contemporary accounts of the virtue of parsimony in empirical theorizing, and consider how each might apply to two prominent appeals to parsimony in the philosophical literature, those made on behalf of physicalism and on behalf of nominalism. None of the accounts of the virtue of parsimony extends naturally to either of these philosophical cases. This suggests that in typical philosophical contexts, ontological simplicity (...) has no evidential value. (shrink)

Different people reason differently, which means that sometimes they reach different conclusions from the same evidence. We maintain that this is not only natural, but rational. In this essay we explore the epistemology of that state of affairs. First we will canvass arguments for and against the claim that rational methods of reasoning must always reach the same conclusions from the same evidence. Then we will consider whether the acknowledgment that people have divergent rational reasoning methods should undermine one’s confidence (...) in one’s own reasoning. Finally we will explore how agents who employ distinct yet equally rational methods of reasoning should respond to interactions with the products of each others’ reasoning. We find that the epistemology of multiple reasoning methods has been misunderstood by a number of authors writing on epistemic permissiveness and peer disagreement. (shrink)

This article offers a novel, conservative account of material constitution, one that incorporates sortal essentialism and features a theory of dominant sortals. It avoids coinciding objects, temporal parts, relativizations of identity, mereological essentialism, anti-essentialism, denials of the reality of the objects of our ordinary ontology, and other departures from the metaphysic implicit in ordinary ways of thinking. Defenses of the account against important objections are found in Burke 1997, 2003, and 2004, as well as in the often neglected six paragraphs (...) that conclude section V of this article. (shrink)

I defend the 'Repugnant' Conclusion that for any possible population of happy people, a population containing a sufficient number of people with lives barely worth living would be better. Four lines of argument converge on this conclusion, and the conclusion has a simple, natural theoretical explanation. The opposition to the Repugnant Conclusion rests on a bare appeal to intuition. This intuition is open to charges of being influenced by multiple distorting factors. Several theories of population ethics have been devised to (...) avoid the Repugnant Conclusion, but each generates even more counterintuitive consequences. The intuition opposing the Repugnant Conclusion is thus among the best candidates for an intuition that should be revised. (shrink)

I argue that, given evidence of the factors that tend to distort our intuitions, ethical intuitionists should disown a wide range of common moral intuitions, and that they should typically give preference to abstract, formal intuitions over more substantive ethical intuitions. In place of the common sense morality with which intuitionism has traditionally allied, the suggested approach may lead to a highly revisionary normative ethics.

Philosophers often claim that studying philosophy helps people to become better thinkers. Thanks to a grant from the American Philosophical Association, we were able to test this claim empirically, using a large sample of students (N = 122,352) graduating from 369 colleges and universities across the United States between 2010 and 2019. We investigated whether philosophy majors show more growth than non-philosophy majors in intellectual traits like open-mindedness and a tendency to think carefully and thoroughly, as well as more personal (...) forms of growth that might be fostered by philosophical study (e.g., self-understanding). Additionally, although this was not our primary question, we sought to better understand what students who major in philosophy are like. Specifically, we examined the demographics of philosophy majors, the other subjects that they tend to study when they double major, and the patterns of adding and dropping of philosophy majors between freshman and senior year. (shrink)

Raimo Tuomela’s most important contribution to the philosophy of collective intentionality was his development of the notion of the we-mode. In my chapter I extend the notion of we-mode to that of role-mode, the mode in which individual and collective subjects feel, think and act as occupants of roles within groups and institutional structures. I focus on how being in role-mode is manifest in the minds of subjects and on the following points. First, I argue that both we-mode and role-mode (...) are best thought of as further modifications of I-consciousness, respectively we-consciousness. Second, role-mode is further characterized by the fact that subjects will take positions as role occupants that they won’t take as mere individuals, or we-mode group members, or in other roles. Third, such divergences are only possible against a background of agreements between positions taken in different modes. Fourth, such divergences are also grounded in decision making procedures and the accessibility and admissibility of sources of evidence. Fifth, role-mode goes all the way down, that is, it is also manifest in how subjects feel, move and comport themselves when they occupy their roles. To put it into fashionable jargon, it is embodied and enacted. (shrink)

To explain the evolutionary emergence of uniquely human skills and motivations for cooperation, Tomasello et al. (2012, in Current Anthropology 53(6):673–92) proposed the interdependence hypothesis. The key adaptive context in this account was the obligate collaborative foraging of early human adults. Hawkes (2014, in Human Nature 25(1):28–48), following Hrdy (Mothers and Others, Harvard University Press, 2009), provided an alternative account for the emergence of uniquely human cooperative skills in which the key was early human infants’ attempts to solicit care and (...) attention from adults in a cooperative breeding context. Here we attempt to reconcile these two accounts. Our composite account accepts Hrdy’s and Hawkes’s contention that the extremely early emergence of human infants’ cooperative skills suggests an important role for cooperative breeding as adaptive context, perhaps in early Homo. But our account also insists that human cooperation goes well beyond these nascent skills to include such things as the communicative and cultural conventions, norms, and institutions created by later Homo and early modern humans to deal with adult problems of social coordination. As part of this account we hypothesize how each of the main stages of human ontogeny (infancy, childhood, adolescence) was transformed during evolution both by infants’ cooperative skills “migrating up” in age and by adults’ cooperative skills “migrating down” in age. (shrink)

Conceptual limitations restrict our epistemic options. One cannot believe, disbelieve, or doubt what one cannot grasp. I show how, even granting an epistemic ought-implies-can principle, such restrictions might lead to epistemic dilemmas: situations where each of one’s options violates some epistemic requirement. An alternative reaction would be to take epistemic norms to be sensitive to one’s options in ways that ensure dilemmas never arise. I propose, on behalf of the dilemmist, that we treat puzzlement as a kind of epistemic residue, (...) roughly analogous with guilt, appropriate only when one has violated an epistemic requirement. Sometimes, in bumping up against the limits of one’s concepts, it is appropriate to be puzzled no matter what one believes. Puzzlement can thus play the same role in an epistemic dilemmist’s theory that guilt plays in the theories of many moral dilemmists. (shrink)

This paper, while neutral on questions about the minimality of truth, argues for the non-minimality of truth-aptness.

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

We propose that all actual causes are simultaneous with their direct effects, as illustrated by both everyday examples and the laws of physics. We contrast this view with the sequential conception of causation, according to which causes must occur prior to their effects. The key difference between the two views of causation lies in differing assumptions about the mathematical structure of time.

The distinction between the essential and the accidental characteristics of a thing should be understood not in modal terms (the received view) nor in definitional terms (Fine’s recent proposal) but as follows: an essential characteristic of a thing is one that is not explained by any other of that thing’s characteristics, and an accidental characteristic of a thing is one that is so explained. Various versions of this proposal can be formulated.

Around 540 million years ago there was a sudden, dramatic adaptive radiation known as the Cambrian Explosion. This event marked the origin of almost all of the phyla (major lineages characterized by fundamental body plans) of animals that would ever live on earth, as well the appearance of many notable features such as rigid skeletons and other hard parts, complex jointed appendages, eyes, and brains. This radical evolutionary event has been a major puzzle for evolutionary biologists since Darwin, and while (...) our understanding of it has recently improved with new fossil finds, richer molecular phylogenies, and better grasp of ecological, evolutionary, and developmental processes generally, unanswered questions remain. In this paper I argue that a basic cognitive toolkit for embodied, object-oriented, spatial cognition (what I call Basic Cognitive Embodiment) is a practical necessity for control of a large, mobile, complexly articulated body in space. This hypothesis allows us to relate the complexification of animal bodies to the complexification of perception, cognition and behavior in a way that can help to fill in gaps in our emerging picture of the Cambrian Explosion, as well as shed light on the deep evolutionary origins of the mind. (shrink)

Dion is a full-bodied man. Theon is that part of him which consists of all of him except his left foot. What becomes of Dion and Theon when Dion’s left foot is amputated? Employing the doctrine of sortal essentialism, I defend a surprising answer last defended by Chrysippus: that Dion survives while the seemingly unscathed Theon perishes. For replies to critics, see my publications of 1997 and (especially) 2003.

In this paper, I examine two major challenges to epistemic theories of democracy: “the authority dilemma” and “the epistemic gamble.” The first is a conceptual challenge, suggesting that epistemic democracy is inherently self-undermining. The second is a normative challenge, asserting that the case for democracy should not rely on precarious epistemic grounds. I argue that both challenges fail. Thus, epistemic theories of democracy escape two of the most popular objections to this view.

Abstract. Richard Feldman’s Uniqueness Thesis holds that “a body of evidence justifies at most one proposition out of a competing set of proposi- tions”. The opposing position, permissivism, allows distinct rational agents to adopt differing attitudes towards a proposition given the same body of evidence. We assess various motivations that have been offered for Uniqueness, including: concerns about achieving consensus, a strong form of evidentialism, worries about epistemically arbitrary influences on belief, a focus on truth-conduciveness, and consequences for peer disagreement. (...) We argue that each of these motivations either misunderstands the commitments of permissivism or is question-begging. Better understanding permissivism makes it a much more plausible position. (shrink)

Disjunctivists (Hinton 1973, Snowdon 1990, Martin 2002, 2006) often motivate their approach to perceptual experience by appealing in part to the claim that in cases of veridical perception, the subject is directly in contact with the perceived object. When I perceive a table, for example, there is no table-like sense-impression that stands as an intermediary between the table and me. Nor am I related to the table as I am to a deer when I see its footprint in the snow. (...) I do not experience the table by experiencing some- thing else over and above the table and its facing surface. I see the facing surface of the table directly. (shrink)

The Oxford Handbook of Metaphysics offers the most authoritative and compelling guide to this diverse and fertile field of philosophy. Twenty-four of the world's most distinguished specialists provide brand-new essays about 'what there is': what kinds of things there are, and what relations hold among entities falling under various categories. They give the latest word on such topics as identity, modality, time, causation, persons and minds, freedom, and vagueness. The Handbook's unrivaled breadth and depth make it the definitive reference work (...) for students and academics across the philosophical spectrum. (shrink)

nated discussion of the semantics of such verbs. I will call this view.

Since Case and Deaton (2015) coined the term ‘deaths of despair,’ there has been significant empirical work and public interest in the topic. Yet social scientists studying this topic lament the absence of a clear theory of despair. Philosophical inquiry into the nature and value of hope has begun to fill this gap, with despair often cited as the opposite of hope. The assumption that hope and despair are opposites has helped to motivate two central tasks in the literature: how (...) a theory of hope can make sense of the difference between hope and despair, and how hope might prevent people from falling into despair. Yet the focus of inquiry has been principally on hope. This paper builds on the existing literature to offer a theory of despair. We argue that despair is a mode of sadness whereby one experiences the loss of reasons to take seriously that which one desires. Our account of despair captures a set of desiderata that any theory of despair should explain, and it offers useful conceptual resources to social scientists studying deaths of despair. (shrink)

This study explores the relationship between perceptions of catastrophic events and beliefs about climate change. Using data from the 2023 Life in Transition Survey, the study finds that contrary to conventional wisdom, more accurate knowledge about past catastrophes is associated with lower concern about climate change. The paper proposes that heightened threat sensitivity may underlie both the tendency to overestimate disaster impacts and increased concern about climate change. The findings challenge the assumption that a more informed citizenry necessarily leads to (...) better climate policy decisions. Instead, they suggest that psychological factors, like anxiety and risk perception, play crucial roles in shaping climate attitudes. Illuminating these dynamics can help societies to foster a more nuanced and constructive public dialogue about the urgent challenges facing our planet and our species. (shrink)

Are thought experiments nothing but arguments? I argue that it is not possible to make sense of the historical trajectory of certain thought experiments if one takes them to be arguments. Einstein and Bohr disagreed about the outcome of the clock-in-the-box thought experiment, and so they reconstructed it using different arguments. This is to be expected whenever scientists disagree about a thought experiment's outcome. Since any such episode consists of two arguments but just one thought experiment, the thought experiment cannot (...) be the arguments. (shrink)

This paper explores the relationship between romantic love and polyamory. Our central question is whether traditional norms of monogamy can be excised from romantic love so as to harmonize with polyamory’s ethical dimensions (as we construe them). How one answers this question bears on another: whether ‘polyamory’ should principally be understood in terms of romantic love or instead some alternative conception(s). Our efforts to address these questions begin by briefly motivating our favored approach to romantic love, a “narratival” one inspired (...) by 1930s cultural theorist Denis de Rougemont, wherein such love is exclusive, supernatural or promising transcendence, painful, impeded, and, ultimately, fatal. We maintain that, even once exclusivity is removed as an official component, tensions with polyamory’s ethical dimensions remain: romantic love’s other elements rationalize acting and feeling in ways that privilege a singular beloved above others. A tempting solution is to further revise romantic love. However, we are skeptical that this leaves space for distinctively romantic love. Our tentative proposal, then, is that polyamory’s ethical dimensions favor rejecting romantic love as ultimately desirable. (shrink)

According to the evolutionary sceptic, the fact that our cognitive faculties evolved radically undermines their reliability. A number of evolutionary epistemologists have sought to refute this kind of scepticism. This paper accepts the success of these attempts, yet argues that refuting the evolutionary sceptic is not enough to put any particular domain of beliefs – notably scientific beliefs, which include belief in Darwinian evolution – on a firm footing. The paper thus sets out to contribute to this positive justificatory project, (...) underdeveloped in the literature. In contrast to a ‘wholesale’ approach, attempting to secure justification for all of our beliefs on the grounds that our belief-forming mechanisms evolved to track truth, we propose a ‘piecemeal’ approach of assessing the reliability of particular belief-forming mechanisms in particular domains. This stands in contrast to the more familiar attempt to transfer warrant obtained for one domain to another by showing how one is somehow an extension of the other. We offer a naturalist reply to the charge of circularity by appealing to reliabilist work on the problem of induction, notably Peter Lipton's distinction between self-certifying and non-self-certifying inductive arguments. We show how, for scientific beliefs, a non-self-certifying argument might be made for the reliability of our cognitive faculties in that domain. We call this strategy Humean Bootstrapping. (shrink)

According to many philosophers, "the meaning of life" refers to our cosmic purpose, the activity that we were created by God or a purposive universe to perform. If there is no God or teleology, there is no such thing as the meaning of life. But this need not be the last word on the matter. In this paper, I ask what the benefits provided by a cosmic purpose are, and go on to argue that thinking of our lives in a (...) particular way—in terms of a unified life narrative—can supply us with many of those benefits. We might lose little if there is no such thing as the meaning of life, since there is still something that can provide much of what is valuable about it. (shrink)

This paper argues that Epictetus’ ethics involves three features which are also present in Aristotle’s discussion of akrasia in the Nicomachean Ethics: 1) A major problem for agents is when they fail to render a universal premise effective at motivating a particular action in accordance with that premise. 2) There are two reasons this occurs: Precipitancy and Weakness. 3) Precipitancy and Weakness can be prevented by gaining a fuller understanding of our beliefs and commitments. This comparison should make clear that (...) akrasia is certainly not absent from Epictetus. Rather a very Aristotelian understanding of why we fail to act in accordance with what we take to be in our own best interests remains at the center of his ethics. (shrink)

The Protein Ontology (PRO; http://purl.obolibrary.org/obo/pr) formally defines and describes taxon-specific and taxon-neutral protein-related entities in three major areas: proteins related by evolution; proteins produced from a given gene; and protein-containing complexes. PRO thus serves as a tool for referencing protein entities at any level of specificity. To enhance this ability, and to facilitate the comparison of such entities described in different resources, we developed a standardized representation of proteoforms using UniProtKB as a sequence reference and PSI-MOD as a post-translational modification (...) reference. We illustrate its use in facilitating an alignment between PRO and Reactome protein entities. We also address issues of scalability, describing our first steps into the use of text mining to identify protein-related entities, the large-scale import of proteoform information from expert curated resources, and our ability to dynamically generate PRO terms. Web views for individual terms are now more informative about closely-related terms, including for example an interactive multiple sequence alignment. Finally, we describe recent improvement in semantic utility, with PRO now represented in OWL and as a SPARQL endpoint. These developments will further support the anticipated growth of PRO and facilitate discoverability of and allow aggregation of data relating to protein entities. (shrink)

Epistemic responsibility involves at least two central ideas. (V) To be epistemically responsible is to display the virtue(s) epistemic internalists take to be central to justification (e.g., coherence, having good reasons, fitting the evidence). (C) In normal (non-skeptical)circumstances and in thelong run, epistemic responsibility is strongly positively correlated with reliability. Sections 1 and 2 review evidence showing that for a wide range of real-world problems, the most reliable, tractable reasoning strategies audaciously flout the internalist''s epistemic virtues. In Section 3, I (...) argue that these results force us to give up either (V), our current conception of what it is to be epistemically responsible, or (C) the responsibility-reliability connection. I will argue that we should relinquish (V). This is likely to reshape our epistemic practices. It will force us to alter our epistemic judgments about certain instances of reasoning, to endorse some counterintuitive epistemic prescriptions, and to rethink what it is for cognitive agents to be epistemically responsible. (shrink)

Rivka Weinberg advances an error theory of ultimate meaning with three parts: (1) a conceptual analysis, (2) the claim that the extension of the concept is empty, and (3) a proposed fitting response, namely being very, very sad. Weinberg’s conceptual analysis of ultimate meaning involves two features that jointly make it metaphysically impossible, namely (i) the separateness of activities and valued ends, and (ii) the bounded nature of human lives. Both are open to serious challenges. We offer an internalist alternative (...) to (i) and a relational alternative to (ii). We then draw out implications for (2) and conclude with reasons to be cheerful about the prospects of a meaningful life. (shrink)

The fact of evolution raises important questions for the position of moral realism, because the origin of our moral dispositions in a contingent evolutionary process is on the face of it incompatible with the view that our moral beliefs track independent moral truths. Moreover, this meta-ethical worry seems to undermine the normative justification of our moral norms and beliefs. If we don’t have any grounds to believe that the source of our moral beliefs has any ontological authority, how can our (...) moral judgments be justified in an objective way? In this chapter, I argue that while traditional moral realism is untenable in the light of evolution, normative justification should not be handed the same fate. It is precisely in the fact that moral norms and beliefs are grounded in evolved, innate and therefore universally shared intuitions that those norms and beliefs can be objective-for-us. Such an internalist justification allows us to differentiate moral right from wrong, not because some feature of the external world forces us to acknowledge this, but because our moral nature forces us to project this moral judgment on the world. What’s more, guided by this innate moral compass we can both assess and realize moral progress. (shrink)

Previous claims to have resolved the two-envelope paradox have been premature. The paradoxical argument has been exposed as manifestly fallacious if there is an upper limit to the amount of money that may be put in an envelope; but the paradoxical cases which can be described if this limitation is removed do not involve mathematical error, nor can they be explained away in terms of the strangeness of infinity. Only by taking account of the partial sums of the infinite series (...) of expected gains can the paradox be resolved. (shrink)