According to the cohabitation account, all the persons that result from a fission event cohabit the same body prior to fission. This article concerns a problem for this account. Suppose Manuel and Jimena are suffering from an equally painful migraine. Unlike Jimena, however, Manuel will undergo fission. Assuming you have a spare painkiller, whom should you give it to? Intuitively, you have no more reason to give it to one or the other. The problem is that the cohabitation account (...) suggests otherwise. According to the account, there are two persons cohabiting Manuel’s body, in which case you should arguably give them the pill, since doing so alleviates the pain of more beings. One response argues that the two persons cohabiting Manuel’s body share one pain. Thus, giving them the pill alleviates no more pain than giving it to Jimena, and therefore you have no more reason to do one or the other. The goal of this article is to show that this response fails. (shrink)

According to the cohabitation account, all the persons that result from a fission event cohabit the same body prior to fission. This article concerns a problem for this account. Suppose Manuel and Jimena are suffering from an equally painful migraine. Unlike Jimena, however, Manuel will undergo fission. Assuming you have a spare painkiller, whom should you give it to? Intuitively, you have no more reason to give it to one or the other. The problem is that the cohabitation account (...) suggests otherwise. According to the account, there are two persons cohabiting Manuel’s body, in which case you should arguably give them the pill, since doing so alleviates the pain of more beings. One response argues that the two persons cohabiting Manuel’s body share one pain. Thus, giving them the pill alleviates no more pain than giving it to Jimena, and therefore you have no more reason to do one or the other. The goal of this article is to show that this response fails. (shrink)

When facing a choice between saving one person and saving many, some people have argued that fairness requires us to decide without aggregating numbers; rather we should decide by coin toss or some form of lottery, or alternatively we should straightforwardly save the greater number but justify this in a non-aggregating contractualist way. This paper expands the debate beyond well-known number cases to previously under-considered probability cases, in which not (only) the numbers of people, but (also) (...) the probabilities of success for saving people vary. It is shown that, in these latter cases, both the coin toss and the lottery lead to what is called an awkward conclusion, which makes probabilities count in a problematic way. Attempts to avoid this conclusion are shown to lead into difficulties as well. Finally, it is shown that while the greater number method cannot be justified on contractualist grounds for probability cases, it may be replaced by another decision method which is so justified. This decision method is extensionally equivalent to maximising expected value and seems to be the least problematic way of dealing with probability cases in a non-aggregating manner. (shrink)

This paper is about how to aggregate outside opinion. If two experts are on one side of an issue, while three experts are on the other side, what should a non-expert believe? Certainly, the non-expert should take into account more than just the numbers. But which other factors are relevant, and why? According to the view developed here, one important factor is whether the experts should have been expected, in advance, to reach the same conclusion. When (...) the agreement of two (or of twenty) thinkers can be predicted with certainty in advance, their shared belief is worth only as much as one of their beliefs would be worth alone. This expectational model of belief dependence can be applied whether we think in terms of credences or in terms of all-or-nothing beliefs. (shrink)

John Taurek has argued that, where choices must be made between alternatives that affect different numbers of people, the numbers are not, by themselves, morally relevant. This is because we "must" take "losses-to" the persons into account (and these don't sum), but "must not" consider "losses-of" persons (because we must not treat persons like objects). I argue that the numbers are always ethically relevant, and that they may sometimes be the decisive consideration.

In “How Should We Aggregate Competing Claims?” Alex Voorhoeve develops a theory—Aggregate Relevant Claims (ARC)—which aims to reconcile intuitive judgments for and against aggregating claims in different situations. I argue that ARC does not justify these intuitions but instead ultimately relies on them. We ought not to trust the intuition in favor of nonaggregation, so we ought not to trust ARC. I then show that the nonaggregative part of ARC has a number of unacceptable implications. These problems afflict all (...) nonaggregative theories. Finally, I present a positive argument for full-blooded aggregation. The numbers always count. (shrink)

We critically reconsider an old hypothesis of the role of the dekad in Pythagorean philosophy. Unlike Zhmud, we claim that: 1) the dekad did play a role in Philolaus’ astronomical system, and 2) Aristotle did not project Plato’s theory of the ten eidetic numbers onto the Pythagoreans. We claim that the dekad, as the τέλειος ἀριθμός, should be understood in Philolaus’ philosophy as completeness and the basis of counting in Greek – as in most other languages – in (...) a decimal system. Additionally, we argue that the number ten is not even a candidate for the τέλειος ἀριθμός in Plato’s philosophy. As a final result of our discussion, we compare and contrast Philolaus’, Plato’s, and Speusippus’ accounts of completeness in relation to numbers. (shrink)

Abstract Tom Dougherty observes that challenges to counting the numbers often cite John Taurek’s 1977 article, “Should the Numbers Count.” Dougherty, though sympathetic to Taurek’s (and others) critique of consequentialism’s aggregating good across individuals, defends a non-consequentialist principle for addition he calls “the Ends Principle. Take the case (he labels “Drug”) when an agent, possessing a dose of a lifesaving drug, can save one person with the entire dose, or two people, each of whom only need (...) half the dose. Dougherty argues that a rational agent, summing her altruistic goals (three), but unable to save all three, will save two. I give two criticisms of Dougherty’s paper. (1) He hasn’t ruled out, though acknowledging, the equal chance principle as deontological grounds for deciding Drug. (2) An agent using the Ends Principle in Drug, as he formulates it, will not have the requisite aims to make use of the Principle. I also consider an issue, little discussed, the conditions for aggregation in general. (shrink)

By around the age of 5½, many children in the United States judge that numbers never end, and that it is always possible to add 1 to a set. These same children also generally perform well when asked to label the quantity of a set after one object is added (e.g., judging that a set labeled “five” should now be “six”). These findings suggest that children have implicit knowledge of the “successor function”: Every natural number, n, has a (...) successor, n + 1. Here, we explored how children discover this recursive function, and whether it might be related to discovering productive morphological rules that govern language‐specific counting routines (e.g., the rules in English that represent base‐10 structure). We tested 4‐ and 5‐year‐old children’s knowledge of counting with three tasks, which we then related to (a) children’s belief that 1 can always be added to any number (the successor function) and (b) their belief that numbers never end (infinity). Children who exhibited knowledge of a productive counting rule were significantly more likely to believe that numbers are infinite (i.e., there is no largest number), though such counting knowledge was not directly linked to knowledge of the successor function, per se. Also, our findings suggest that children as young as 4 years of age are able to implement rules defined over their verbal count list to generate number words beyond their spontaneous counting range, an insight which may support reasoning over their acquired verbal count sequence to infer that numbers never end. (shrink)

You must either save a group of m people or a group of n people. If there are no morally relevant diff erences among the people, which group should you save? is problem is known as the number problem. e recent discussion has focussed on three proposals: (i) Save the greatest number of people, (ii) Toss a fair coin, or (iii) Set up a weighted lottery, in which the probability of saving m people is m / m + n (...) , and the probability of saving n people is n / m + n . is contribution examines a fourth alternative, the mixed solution, according to which both fairness and the total number of people saved count. It is shown that the mixed solution can be defended without assuming the possibility of interpersonal comparisons of value. (shrink)

Belief in the divine origin of the universe began to wane most markedly in the nineteenth century, when scientific accounts of creation by natural law arose to challenge traditional religious doctrines. Most of the credit - or blame - for the victory of naturalism has generally gone to Charles Darwin and the biologists who formulated theories of organic evolution. Darwinism undoubtedly played the major role, but the supporting parts played by naturalistic cosmogonies should also be acknowledged. Chief among these (...) was the nebular hypothesis proposed by Pierre Simon Laplace in 1796, which explained the origin of the solar system as a natural development over extended periods of time. Ronald Numbers focuses on Laplace's theory as it affected American scientific thought. he first traces the history of Laplace's cosmogony chronologically, from its European inception to its demise about 1900. the last three chapters explore some of the theological and scientific consequences resulting from the acceptance of this cosmogony. Most significant was the change in the status of supernatural doctrine. When the nebular hypothesis lost credence at the end of the nineteenth century, those who had before tried to accommodate natural theory with supernatural doctrine no longer felt compelled to do so when faced with succeeding theories. The nebular hypothesis, it seems, had established natural law in the heavens. (shrink)

In this essay, I examine the genealogy of the numeral transformation of emotions from its earliest beginnings in the late nineteenth century. My main thesis is that the historical encounter between emotion and number should not be viewed solely as a particular instantiation of more general trends in the development of objectifying, quantifying, or trust-building technologies. Rather, emotion-as-number provided an alternative medium for the circulation and expression of emotions in a culture that emphasized restraint. It also empowered the experimenter (...) to produce forbidden emotions inside the modern laboratory; it participated in the construction of a uniquely scientific - in contradistinction to a poetic or feminized - emotion; and it attenuated the tensions that arose when "sublime" emotion was animalized in a Darwinian universe. In making this argument, I wish, among other things, to challenge recent claims concerning the repression of emotion in modern public culture. Emotion, I argue, was not restraint in post-Victorian culture, but rather communicated through a new medium - the number. (shrink)

Numbers Skeptics deny that when faced with a choice between saving some innocent people from harm and saving a larger number of different, though equally innocent, people from suffering a similar harm you ought to save the larger number. In this article, I aim to put pressure on Numbers Skepticism.

In his paper, “Should the Numbers Count?" John Taurek imagines that we are in a position such that we can either save a group of five people, or we can save one individual, David. We cannot save David and the five. This is because they each require a life-saving drug. However, David needs all of the drug if he is to survive, while the other five need only a fifth each.Typically, people have argued as if there was (...) a choice to be made: either numbers matter, in which case we should save the greater number, or numbers don't matter, but rather there is moral value in giving each person an equal chance of survival, and therefore we should toss a coin. My claim is that we do not have to make a choice in this way. Rather, numbers do matter, but it doesn't follow that we should always save the greater number. And likewise, there is moral value in giving each person an equal chance of survival, but it doesn't follow that we should always toss a coin. (shrink)

In a second there is also time enough, we might add. In his dichotomizing fervor, Bogen fails to realize that our argument is neutral with respect to the number of consciousnesses that inhabit the normal or the split-brain skull. Should there be two, for instance, we would point out that within the neural network that subserves each, no privileged locus should be postulated. (Midline location is not the issue--it was only a minor issue for Descartes, in fact.).

The concept of basic healt.h care has grown steadily in importance in recent years as more and more of those who reflect on the issue of a right to health care conclude that we need to distinguish between kinds of health care to which people do have a right and others to which they do not have a right. There is little consensus on where to draw this line. But there does seem to be general agreement that, if this distinction (...) is valid, it is so because some kinds of health care are less important, less essential, less something than others, and because the right to health care (if there is such a thing) extends only to those kinds of health care that are more important, more essential, more whatever-it-is. A number of authors have used the term 'basic' to represent this something and this is the term which I shall use. In this article, I shall offer a theory of what we mean by basic health care. I shall do this by developing, in Section 1 of the paper, a general theory of kinds of needs. In Section 2 I will give a brief account of the special moral significance of the levels of need which I designate as basic. In Sections 3-4 1 shall try to identify, in the context of the health care resources available in our society, the health care needs which fall into the previously developed categories of basic need. (shrink)

Suppose you can save only one of two groups of people from harm, with one person in one group, and five persons in the other group. Are you obligated to save the greater number? While common sense seems to say ‘yes’, the numbers skeptic says ‘no’. Numbers Skepticism has been partly motivated by the anti-consequentialist thought that the goods, harms and well-being of individual people do not aggregate in any morally significant way. However, even many non-consequentialists think that (...) Numbers Skepticism goes too far in rejecting the claim that you ought to save the greater number. Besides the prima facie implausibility of Numbers Skepticism, Michael Otsuka has developed an intriguing argument against this position. Otsuka argues that Numbers Skepticism, in conjunction with an independently plausible moral principle, leads to inconsistent choices regarding what ought to be done in certain circumstances. This inconsistency in turn provides us with a good reason to reject Numbers Skepticism. Kirsten Meyer offers a notable challenge to Otsuka’s argument. I argue that Meyer’s challenge can be met, and then offer my own reasons for rejecting Otsuka’s argument. In light of these criticisms, I then develop an improved, yet structurally similar argument to Otsuka’s argument. I argue for the slightly different conclusion that the view proposed by John Taurek that ‘the numbers don’t count’ leads to inconsistent choices, which in turn provides us with a good reason to reject Taurek’s position. (shrink)

The ‘standard interpretation’ of John Taurek’s argument in ‘Should the Numbers Count?’ imputes two theses to him: first, ‘numbers scepticism’, or scepticism about the moral force of an appeal to the mere number of individuals saved in conflict cases; and second, the ‘equal greatest chances’ principle of rescue, which requires that every individual has an equal chance of being rescued. The standard interpretation is criticized here on a number of grounds. First, whilst Taurek clearly believes that (...) equal chances are all-important, he actually argues for a position weaker than the equal greatest chances principle. Second, the argument Taurek gives for the importance of equal chances ought to commit him to being more hospitable to the significance of numbers than he seems to be. Third, and as a result, Taurek should not have dismissed the significance of numbers but embraced a form of pluralism instead. Fourth, this result should be welcomed, because pluralism is more plausible than either the equal greatest chances principle or the saving the greater number principle. (shrink)

The Coronavirus disease pandemic of 2019 is a vast worldwide public health hazard, impacting people of all ages and socioeconomic statuses. Vaccination is one of the most effective methods of controlling a pandemic like COVID-19. This study aims to investigate the relationship between the number of vaccination injections and fear of COVID-19 and test whether beliefs benefit from vaccination COVID-19 mediate the effect of fear of COVID-19 on the number of vaccination injections. A total of 649 Vietnamese adults were enrolled (...) online to finish answering, including scales The Health Belief Model (HBM) and The Fear of COVID-19 (FCV-19S), consisting of 340 (52.4%) males and 309 (47.6%) females. The data were analyzed using variance, regression, and a simple mediation model. The total score of COVID-19 fear wasM= 22.26,SD= 5.49. Vietnamese fear of COVID-19 was at a medium level. Our results suggest that 18- to 20-year-olds are more fearful of COVID-19 than others. People who received the first dosage exhibited a greater fear of COVID-19 than those who received the second dose and were not inoculated. Additionally, the beliefs benefit of vaccination COVID-19 has a role in the relationship between the number of vaccination injections and fear of COVID-19. During the pandemic, adults in Vietnam are more afraid of COVID-19 than during prior outbreaks. Besides, the Vietnamese populace demonstrated a considerable demand for and high acceptability of the COVID-19 vaccine. The current study indicates that psychological counselors and therapists should counsel clients on the value of vaccination and address the fear of COVID-19 as public understanding of the benefits of vaccines increases. To further clarify the effect of this issue on the correlation between fear of COVID-19 and the number of vaccinations, the results of this study indicate that the existing vaccine communication factor for COVID-19 vaccination should be modified to increase confidence in the benefits of immunization. (shrink)

Existing work on the ultimate limits of computation has urged that the apparatus of real numbers should be eschewed as an investigative tool and replaced by discrete mathematics. The present paper argues for a radical extension of this viewpoint: not only the continuum but all infinitary constructs including the rationals and the potential infinite sequence of whole numbers need to be eliminated if a self-consistent investigative framework is to be achieved.

Several influential organisations have attempted to quantify the costs and benefits of expanding access to interventions-like contraceptives-that are expected to decrease the number of pregnancies. Such health economic evaluations can be invaluable to those making decisions about how to allocate scarce resources for health. Yet how the benefits should be measured depends on controversial value judgments. One such value judgment is found in recent analyses from the Disease Control Priority Network (DCPN) and the Study Group for the Global Investment (...) Framework for Women's and Children's Health. Noting the decrease in the number of pregnancies expected to result from providing access to family planning, DCPN and the Study Group claim that a substantial benefit of such interventions is averting the stillbirths and child deaths that would have resulted from those pregnancies. We argue that health economic analyses should not count such averted deaths as benefits in the same way as saved lives. First, by counting averted stillbirths and child deaths as a benefit but not counting as a cost the lives of babies who survive, DCPN and the Study Group implicitly commit themselves to antinatalism. Second, this method for calculating the benefits of family planning interventions implies that infertility treatments are harmful. Determining how potential people should be treated in health economic analyses will require grappling with population ethics. (shrink)

Several influential organisations have attempted to quantify the costs and benefits of expanding access to interventions—like contraceptives—that are expected to decrease the number of pregnancies. Such health economic evaluations can be invaluable to those making decisions about how to allocate scarce resources for health. Yet how the benefits should be measured depends on controversial value judgments. One such value judgment is found in recent analyses from the Disease Control Priority Network (DCPN) and the Study Group for the Global Investment (...) Framework for Women’s and Children’s Health. Noting the decrease in the number of pregnancies expected to result from providing access to family planning, DCPN and the Study Group claim that a substantial benefit of such interventions is averting the stillbirths and child deaths that would have resulted from those pregnancies. We argue that health economic analyses should not count such averted deaths as benefits in the same way as saved lives. First, by counting averted stillbirths and child deaths as a benefit but not counting as a cost the lives of babies who survive, DCPN and the Study Group implicitly commit themselves to antinatalism. Second, this method for calculating the benefits of family planning interventions implies that infertility treatments are harmful. Determining how potential people should be treated in health economic analyses will require grappling with population ethics. (shrink)

It is sometimes suggested that criteria of identity should play a central role in an account of our most fundamental ways of referring to objects. The view is nicely illustrated by an example due to (Quine, 1950). Suppose you are standing at the bank of a river, watching the water that floats by. What is required for you to refer to the river, as opposed to a particular segment of it, or the totality of its water, or the current (...) temporal part of this water? According to Quine, you must at least implicitly be operating with some criterion of identity that informs you when two sightings of water count as sightings of the same referent. For unless you have at least an implicit grasp of what is required for your intended referent to be identical with another object with which you are presented, you have not succeeded in singling out a unique object for reference. (shrink)

In this paper, I concentrate on two themes: to what extent numbers bear on an agent's duties, and how numbers should relate to social policy. In the first half of the paper I consider the abstract case of a choice between saving two people and saving one, and my focus is on the contrast between a duty to act and a reason which merely makes an action intelligible. In the second half, I turn to the issue of (...) social policy and investigate how if at all numbers can have a bearing there, if there is no obvious duty on individuals to save the greater number. My proposal is that it is not the bare numbers themselves (or even the ratio of claimants on either side of the dilemma) which explain our intuitions in such cases, but rather considerations of the extent to which each of us can make a reasonable claim on others. In short, I argue: numbers don't count, people do. (shrink)

In recent years, a number of news stories were reported worldwide involving brain-dead pregnant women. Debates over providing life support to braindead pregnant women and delivery of their children have been around for some decades. Maintaining a woman’s life solely for fetal viability has become a major controversial social issue. Opposing opinions exist where one side supports the woman and her child should be left to die in dignity and the other side claims to protect the unborn child’s right (...) to live. Each group has strong beliefs. This paper addresses main aspects when considering the continuation of somatic support to the brain-dead pregnant woman for the purpose of fetus delivery including; human death, dignity of the woman, rights of the fetus, proportionality of acts, and the woman’s donor status, and independence of mother and fetus. Then, the authors present several diverse opinions and positions concerning the legitimacy of life support for brain-dead women based on them and critically evaluate them. We show that each and every claim can be ethically refuted. This paper also approaches to those claims from three different points of views, which are that of the brain-dead woman, her fetus and her family. We believe that the brain-dead woman’s wish and dignity, the child’s predicted wellbeing after birth, and the family’s beliefs and welfare should all be counted equally when making the final decision. In conclusion, we argue that the decision can be ethically justified only when the interests of all parties are appropriately taken into consideration and protected. (shrink)

Why should we become posthuman? There is only one morally compelling answer to this question: because posthumanity will be a more beneficial state, better than present humanity. This is the Posthuman Beneficence Argument, the centerpiece of the liberal transhumanist defense of “directed evolution.” In this article, I examine PBA and find it deficient on a number of lethal counts. My argument focuses on the writings of transhumanist philosopher Nick Bostrom, who has developed the most articulate defense of PBA and (...) disclosed its metaethical framework. I begin by locating PBA in the context of wider transhumanist claims for the desirability of posthumanity. I identify two crucial components: a model of deliberative rationality, requiring reasons to endorse claims; and the reasons themselves. I examine these two conditions, in turn, specifying the claims that they ask us to accept. Following Bostrom, I argue that there is a need for a foundationalist approach that assures us of some universality in the process of valuation. This is required to appropriately ground the moral continuity and appeal to universality that PBA demands. I examine the reasons why this approach ultimately fails, leaving posthumanity as an unintelligible concept with no moral force. I conclude by identifying a more mature approach to the debate on human enhancement, one that forfeits the grandiose but baseless claims too often found in transhumanist defenses of directed evolution. In short, posthumanity may be a good science fiction trope, but it has no normative force in the moral philosophy of human enhancement. (shrink)

In this paper, I concentrate on two themes: to what extent numbers bear on an agent's duties, and how numbers should relate to social policy. In the first half of the paper I consider the abstract case of a choice between saving two people and saving one, and my focus is on the contrast between a duty to act and a reason which merely makes an action intelligible. In the second half, I turn to the issue of (...) social policy and investigate how if at all numbers can have a bearing there, if there is no obvious duty on individuals to save the greater number. My proposal is that it is not the bare numbers themselves which explain our intuitions in such cases, but rather considerations of the extent to which each of us can make a reasonable claim on others. In short, I argue: numbers don't count, people do. (shrink)

Background Retraction is a mechanism for alerting readers to unreliable material and other problems in the published scientific and scholarly record. Retracted publications generally remain visible and searchable, but the intention of retraction is to mark them as “removed” from the citable record of scholarship. However, in practice, some retracted articles continue to be treated by researchers and the public as valid content as they are often unaware of the retraction. Research over the past decade has identified a number of (...) factors contributing to the unintentional spread of retracted research. The goal of the Reducing the Inadvertent Spread of Retracted Science: Shaping a Research and Implementation Agenda (RISRS) project was to develop an actionable agenda for reducing the inadvertent spread of retracted science. This included identifying how retraction status could be more thoroughly disseminated, and determining what actions are feasible and relevant for particular stakeholders who play a role in the distribution of knowledge. -/- Methods These recommendations were developed as part of a year-long process that included a scoping review of empirical literature and successive rounds of stakeholder consultation, culminating in a three-part online workshop that brought together a diverse body of 65 stakeholders in October–November 2020 to engage in collaborative problem solving and dialogue. Stakeholders held roles such as publishers, editors, researchers, librarians, standards developers, funding program officers, and technologists and worked for institutions such as universities, governmental agencies, funding organizations, publishing houses, libraries, standards organizations, and technology providers. Workshop discussions were seeded by materials derived from stakeholder interviews (N = 47) and short original discussion pieces contributed by stakeholders. The online workshop resulted in a set of recommendations to address the complexities of retracted research throughout the scholarly communications ecosystem. -/- Results The RISRS recommendations are: (1) Develop a systematic cross-industry approach to ensure the public availability of consistent, standardized, interoperable, and timely information about retractions; (2) Recommend a taxonomy of retraction categories/classifications and corresponding retraction metadata that can be adopted by all stakeholders; (3) Develop best practices for coordinating the retraction process to enable timely, fair, unbiased outcomes; and (4) Educate stakeholders about pre- and post-publication stewardship, including retraction and correction of the scholarly record. -/- Conclusions Our stakeholder engagement study led to 4 recommendations to address inadvertent citation of retracted research, and formation of a working group to develop the Communication of Retractions, Removals, and Expressions of Concern (CORREC) Recommended Practice. Further work will be needed to determine how well retractions are currently documented, how retraction of code and datasets impacts related publications, and to identify if retraction metadata (fails to) propagate. Outcomes of all this work should lead to ensuring retracted papers are never cited without awareness of the retraction, and that, in public fora outside of science, retracted papers are not treated as valid scientific outputs. (shrink)

This paper presents the results of computer simulations with a community of actors playing a large number of voluntarily iterated two-person-PD. The simulations are designed to enable uncooperative actors to exploit partners, leave them and find a new partner who knows nothing about their previous behavioral history. Hit-and-run exploitation should thrive under these conditions. However, as Schuessler (1989; 1990) has shown, the setting is highly unfavorable to uncooperative players. The present study extends this result to a wider set of (...) strategies which can alternatively stay with defectors {and try to improve them) or leave them quickly. In addition, a class of seemingly clever strategies is introduced which try to exploit the expected dynamics of looking for a partner. Still, a high amount of egoistical cooperation can persist in the present scenario. (shrink)

Most people have the intuition that, when we can save the lives of either a few people in one group or many people in another group, and all other things are equal, we ought to save the group with the most people. However, several philosophers have argued against this intuition, most famously John Taurek, in his article ‘Should the Numbers Count?’ They argue that there is no moral obligation to save the greater number, and that we are (...) permitted to save either the many or the few. I argue in this article that, even if we are almost completely persuaded by these ‘numbers sceptics’, we ought not to just save the few. If the choice is simply between saving the many or the few, we ought to save the many. (shrink)

In this article we evaluate claims that language structure adapts to sociolinguistic environment. We present the results of two typological case studies examining the effects of the number of native (= L1) speakers and the proportion of adult second language (= L2) learners on language structure. Data from more than 300 languages suggest that testing the effect of population size and proportion of adult L2 learners on features of verbal and nominal complexity produces conflicting results on different grammatical features. The (...) results show that verbal inflectional synthesis adapts to the sociolinguistic environment but the number of genders does not. The results also suggest that modelling population size together with proportion of L2 improves model fit compared to modelling them independently of one another. We thus argue that surveying population size alone may be insufficient to detect possible adaptation of linguistic structure to the sociolinguistic environment. Rather, other features, such as proportion of L2 speakers, prestige and social network density, should be studied, and if demographic numeric data are used, they should not be used in isolation but rather in competition with other sociolinguistic features. We also suggest that not all types of language structures within a given grammatical domain are equally sensitive to the effect of sociolinguistic variables, and that more exploratory studies are needed before we can arrive at a reliable set of grammatical features that may be potentially most (and least) adaptive to social structures. (shrink)

Imagine hosting a party. You arrange snacks, curate a playlist and place a variety of beers in the refrigerator. Your first guest shows up, adding a six-pack before taking one bottle for himself. You watch your next guest arrive and contribute a few more beers, minus one for herself. Ready for a drink, you open the fridge and are surprised to find only eight beers remaining. You haven't been consciously counting the beers, but you know there should be more, (...) so you start poking around. Sure enough, in the crisper drawer, behind a rotting head of romaine, are several bottles. (shrink)

Most non-consequentialists “let the numbers count” when one can save either a lesser or greater number from equal or similar harm. But they are wary of doing so when one can save either a small number from grave harm or instead a very large number from minor harm. Limited aggregation is an approach that reconciles these two commitments. It is motivated by a powerful idea: our decision whom to save should respect each person who has a claim (...) to our help, including those whom we fail to save. However, it has recently been argued that it is open to decisive objections. I develop a new limitedly aggregative view:Hybrid Balance Relevant Claims. This view is well grounded in the reasons we have to be skeptical of aggregation and resolves all recent challenges by paying careful attention to the rationale for limited aggregation. (shrink)

John Taurek famously held the view that, when deciding whom to rescue, the numbers don’t count: we should instead give everyone the same chance of surviving. Surprisingly little engagement has taken place between the detailed and rich literature on whether the numbers count in rescue cases, and the practical question of whether certain facts about patients are eligible for consideration in real-world prioritisation, e.g., in emergency triage during a pandemic. I suggest that a position close (...) to Taurek’s maps on to real-world arguments by groups representing disabled individuals. Whereas Taurek is focused on equalising survival chances, some disability rights activists and scholars appear to argue in favour of equalising selection chances. I consider the philosophical promise of this approach by appealing to the idea of “opacity respect”, and suggest a sufficientarian alternative. (shrink)

The New Evil Demon Problem is supposed to show that straightforward versions of reliabilism are false: reliability is not necessary for justification after all. I argue that it does no such thing. The reliabilist can count a number of beliefs as justified even in demon worlds, others as unjustified but having positive epistemic status nonetheless. The remaining beliefs---primarily perceptual beliefs---are not, on further reflection, intuitively justified after all. The reliabilist is right to count these beliefs as unjustified in (...) demon worlds, and it is a challenge for the internalist to be able to do so as well. (shrink)

In 1970, Stewart advocated disenfranchising everyone reaching retirement age or age 70, whichever was earlier. The question of whether senior citizens should be disenfranchised has recently come to the fore due to votes on issues such as Brexit and climate change. Indeed, there is a growing literature which argues that we should increase the voting power of non-senior citizens relative to senior citizens, for reasons having to do with intergenerational justice. Thus, it seems that there are reasons of (...) justice to disenfranchise senior citizens, or at least to grant them a lower voting weight than non-senior citizens. In this paper, we investigate whether there are democratic reasons to do so. To answer this question, we turn to the boundary problem in democratic theory, i.e., the question of who should be included in democratic decision-making. Two prominent solutions, and a more recent one, are particularly relevant: the all-affected principle, the all-subjected principle, and the relational egalitarian principle. When it comes to the all-affected principle and the all-subjected principle, we argue that there is reason to grant most senior citizens a lower voting weight than most non-senior citizens in most decisions. Whether that is the case on the relational egalitarian principle depends on how people relate to each other in society. Indeed, it is sometimes in accordance with the relational egalitarian view to grant senior citizens a greater voting weight than non-senior citizens. (shrink)

Common-sense morality seems to tell us that a rescuer who can save either one individual or five other individuals from death has a duty to save the greater number. But contractualism, a moral theory on which principles must be justifiable to individuals, seems to imply that it is permissible to save the one. This is because a commitment to individual justification blocks the possibility of appealing to the aggregate amount of lives saved. Does contractualism really have this implication? If so, (...) should we side with the common-sense approach, or is there any reason to side with the contractualist? In this paper, I first examine a new argument from Jay Wallace which claims to reconcile contractualism with a duty to save the greater number. I find the argument to be unsuccessful. I then suggest that common-sense morality doesn't support a duty to save the greater number as straightforwardly as it might initially seem as it might initially seem. I introduce two mundane cases in which the permissibility of saving either the lesser or greater number is intuitively plausible, and I offer some reasons to think that the permissibility of saving the lesser number coheres with our value judgements more generally. (shrink)

In this article, we defend pairwise comparison as a method to resolve conflicting claims from different people that cannot be jointly satisfied because of a scarcity of resources. We consider Michael Otsuka's recent challenge that pairwise comparison leads to intransitive choices for the (someone who believes the numbers should not count in forced choices among lives) and Frances Kamm's responses to Otsuka's challenge. We argue that Kamm's responses do not succeed, but that the threat they are designed (...) to meet is illusory. Once the method of pairwise comparison is understood in a manner consistent with its proposed use, the challenge disappears. In making this argument, we examine questions about the interpretation of pairwise comparison and maintain that it must be understood as a method for ensuring that decisions are justifiable from the perspective of each affected individual. (shrink)

Part of Frege's concern about whether number words are properties of objects was that if they could be construed as such it would lend support to the view that truths of arithmetic were empirical truths. Such concern is ill-founded. Even if number words do apply to objects as predicates, this does not entail that numerical truths would be empirical, any more than the fact that ‘bachelor’ and ‘unmarried’ are predicates of objects entails that their relationship is an empirical one. The (...) account of number words as predicates given here, consequently, should not be taken as supportive of any one particular theory concerning arithmetic truth rather than another.The view of number words that emerges above from the criticism of Frege's arguments is that sentences containing number words can and do say something about objects in a collective and syncategorematic way. That is, they say something about classes of objects, when it is clear what is to count as an object. Whether this view commits us to accepting certain ontological entities, classes of individuals, above and beyond individuals themselves, I am not prepared to say, and at any rate this question falls beyond the intended scope of this essay. To those who would eschew abstract entities, however, it may be noted that the ontological problems that arise are not peculiar to this view; they seem no more or less severe than those that arise in connection with other collective predicate statements, as, for example, “Blue whales are becoming extinct.”The view presented here also does not pretend to be a fatal criticism of the logicist program. Taking our cue from the above noted fact that syncategorematic predicates share in a common ‘partial’ abstract sense, it seems reasonable to say that it is just the set of such partial senses of number words, and the relationships that hold between such senses, that the logicist and the pure number theorist investigate. (shrink)

On a now orthodox view, humans and many other animals are endowed with a “number sense”, or approximate number system (ANS), that represents number. Recently, this orthodox view has been subject to numerous critiques, with critics maintaining either that numerical content is absent altogether, or else that some primitive analog of number (‘numerosity’) is represented as opposed to number itself. We distinguish three arguments for these claims – the arguments from congruency, confounds, and imprecision – and show that none succeed. (...) We then highlight positive reasons for thinking that the ANS genuinely represents numbers. The upshot is that proponents of the orthodox view should not feel troubled by recent critiques of their position. (shrink)

There are not enough solid organs available to meet the needs of patients with organ failure. Thousands of patients every year die on the waiting lists for transplantation. Yet there is one currently available, underutilized, potential source of organs. Many patients die in intensive care following withdrawal of life-sustaining treatment whose organs could be used to save the lives of others. At present the majority of these organs go to waste.In this paper we consider and evaluate a range of ways (...) to improve the number and quality of organs available from this group of patients. Changes to consent arrangements (for example conscription of organs after death) or changes to organ donation practice could dramatically increase the numbers of organs available, though they would conflict with currently accepted norms governing transplantation.We argue that one alternative, Organ Donation Euthanasia, would be a rational improvement over current practice regarding withdrawal of life support. It would give individuals the greatest chance of being able to help others with their organs after death. It would increase patient autonomy. It would reduce the chance of suffering during the dying process. We argue that patients should be given the choice of whether and how they would like to donate their organs in the event of withdrawal of life support in intensive care.Continuing current transplantation practice comes at the cost of death and prolonged organ failure. We should seriously consider all of the alternatives. (shrink)

In Islamic thought, the accumulation regarding Tafsir appears in various ways. One of them is the type of work called Anmudhaj that contains chapters about Tafsīr. In the An-mudhaj type of works, the determination of the sciences to investigate may occur according to different criteria. These criteria may occur as a classification of science and they also can be limited to a few sciences. In this article, we will examine the Tafsīr chapter from the work of Sipāhīzādah who took charge (...) as a teacher and judge in the Ottoman Empire. That part cons-titutes the first chapter of the work called Anmūdhaju’l-Funūn which he symbolically limited the investigated sciences to seven. The other investigated sciences in the work are Ḥadīth, Kalām, the methodology of Islamic Law, Fiqh, Bayân, and Medical Science. In the Tafsīr chap-ter of the work of Sipāhīzādah called Anmūdhaju’l-Funūn, seven different issues are investi-gated in total. Those questions are “Does Bismillah count as a vow?” and “What is the order of the creation of the earth and the heavens in the light of the verse al-Baqarah 2/29?” and “Do the names of the numbers imply limitation (hasr)?” and “What is the reason behind the borrowing of Israelites the jewels of the Egyptians in the light of the verse al-Baqarah 2/50?” and “The entry order to the city was given to Israelites in the verses al-Baqara 2/58-59, was this order given to them before or after their deviation?” and “Where is the prostrated door which is mentioned in the verse?” and “How can we assess Fakhr al-Dīn al-Rāzī’s questions and answers regarding the narrative differences between the verses al-Baqarah (2/58-59) and al-A‘râf (7/161-162)?” Sipāhīzādah examined the issues of Tafsīr through a historical which makes him the participant of the debate and allows him to the continue the present discourse through a critical reading. This makes the subject of work quite important. Because thanks to the work, it will be possible to catch some clues about the progress of the accumu-lation regarding Tafsīr in the era the author lived.Summary: In Islamic thought, the accumulation regarding Tafsīr appears in various ways. One of them is the type of work called Anmudhaj that contains chapters about Tafsīr. In Anmudhaj type of works, the determination of the sciences to investigate may occur according to diffe-rent criteria. These criteria may occur as a classification of science and they also can be limi-ted to a few sciences. In this article, we will examine the Tafsīr chapter from the work of Sipāhīzādah who took charge as a teacher and judge in the Ottoman Empire. That part cons-titutes the first chapter of the work called Anmūdhaju’l-Funūn which he symbolically limited the investigated sciences to seven. The other investigated sciences in the work are Ḥadīth, Kalām, the methodology of Islamic Law, Fiqh, Bayân, and Medical Science.The work of Sipāhīzādah, Anmūdhaju’l-Funūn consists of seven chapters and also seven is-sues are investigated in the Tafsīr part of the work. The first investigated issue in the Tafsīr part is the issue of Basmalah and in our opinion, it would not be surprising to accept that in one dimension it is a conscious choice aimed at the beginning of the work. His general attitude is presenting the issues firstly. He constituted all of the issues through the trio of al-Zamakhs-harī, al-Rāzī, and al-Bayḍāwī either one or two of them. Another remarkable point in the de-velopment of the issues is Sipāhīzādah begins with Basmalah according to the Mushaf com-position and proceeds to al-Baqarah verse 59 in a particular order. According to this, the aut-hor takes the problems he detected in the relevant parts as a subject.The issues that are investigated in the Tafsīr chapter can be listed as follows:1. Can Bismillah be used as a vow? According to Sipāhīzādah, al-Bayḍāwī, al-Jurjānī and Mollā Khusraw claim that there is a difference between vowing in the name of God and starting something with Bismillah and this difference should be rejected through the work of al-Mergīnānī that is called Hidâye and Ibn al-Humām’s Sharh. Thus, according to him one of the differences between Billah and Bismillah is not that they count as a vow.2. What is the order of the creation of the earth and the heavens in the light of the verse al-Baqarah 2/29? Sipāhīzādah mentions that the creation and the arrangement of the earth did not happen at the same time.3. Do the names of the numbers imply limitation (hasr)? Regarding this issue, Sipāhīzādah took the verse that says “…and made them seven heavens” as the focal point and claimed that the mentioned number in this verse indicated limitation and gave examples from verses, hadith, linguists and scholars of the methodology.4. What is the reason behind the borrowing of Israelites the jewels of the Egyptians in the light of the verse al-Baqarah 2/50? Sipāhīzādah criticized the two arguments of Fakhr al-Dīn al-Rāzī. Sipāhīzādah criticized the assessments that Ancient Egyptians pursued those properties which they lent before and Israelites kept those jewels and he rejected them.5. The entry order to the city was given to Israelites in the verses al-Baqara 2/58-59, was this order given to them before or after their deviation? He criticized the argu-ments of al-Zamakhsharī and al-Bayḍāwī which they have given to prove that this order was given to them after their deviation. He offered arguments and emphasi-zed that the entry order to the city was given before their deviation.6. Where is the prostrated door which is mentioned in the verse al-Baqara 2/58? It is controversial if it is Jerusalem or the door of the Mosque in which they were perfor-ming the prayer. al-Zamakhsharī and al-Bayḍāwī claim that it is Jerusalem. Was this order given before or after the death of the prophet Moses? Sipāhīzādah thinks that it has to be the door of Jerusalem.7. How can we assess Fakhr al-Dīn al-Rāzī’s questions and answers regarding the nar-rative differences between the verses al-Baqarah (2/58-59) and al-A‘râf (7/161-162)? Sipāhīzādah criticized the responses which are given by al-Rāzī and gives contrary responses.It is obvious that the author is Hanafi in the matters of Islamic Law. Besides this, we can say that Sipāhīzādah did not examine the issues of Tafsīr through a sense of belonging, he emp-hasized the opinions of people which he found compatible with his beliefs. Hence, He someti-mes comes to an agreement with al-Bayḍāwī who is a Shaffi in the matters of Islamic Law and from time to time he affirms al-Zamakhsharī who is a Mutazilite in the matters of faith. Sipāhīzādah examined the issues of Tafsīr through a historical depth and this both makes him a participant of the debate and allows the continuation of the present discourse through a critical reading. Thus, an attitude of critical consistency is prominent in his works. In our opi-nion, this attitude of critical consistency is an action of consolidation for the maintenance of the power of the relevant text-centered linguistic system. In this regard, we can say that Tafsīr remained its liveliness in the geography in which the author lived. So, the founders of the system which we can list as al-Zamakhsharī, Fakhr al-Dīn al-Rāzī, and al-Bayḍāwī and the ones who caused it to continue which we can list as Sayyid Sharif al-Jurjānī, Mollā Khusraw, and Ibn Kamāl Pasha have been read critically by the author. This makes the subject of work quite important. Because thanks to the work, it will be possible to catch some clues about the progress of the accumulation regarding Tafsir in the era the author lived. Even though it was negative in the issues that are investigated by the author, the fact that the Fakhr al-Dīn al-Rāzī is a prominent figure is an indicator of the maintenance of the dominance of Rāzī. It would be more appropriate to link this with his effectiveness rather than the Kalāmī power of his Tafsir. For Rāzī is not taken as the focal point by Sipāhīzādah only in issues of Kalām. Besides that, he renders Rāzī as a participant of the subject in linguistic issues too such as whether if the name of the numbers implies limitation or not and the usage of varied phrases in verses. (shrink)

This paper maintains (following Yougrau 1987; 2000 and Hinchliff 1996) that the dead and other former existents count as examples of non-existent objects. If the dead number among the things there are, a further question arises: what is it to be dead—how should the state of being dead be characterised? It is argued that this state should be characterised negatively: the dead are not persons, philosophers etc. They lack any of the (intrinsic) qualities they had while they (...) lived. The only facts involving the dead are facts about the relations they stand in—including the relations they bear to the qualities they formerly instantiated, and the intentional relations they stand in to us. Given an appropriate conception of qualities the dead can be said to be quality-less objects: bare particulars. The ‘Bare Particular Theory’ of individuals, it is argued, is coherent if and only if it concedes that the bare particulars it allows for don’t exist. The account of the dead and other former existents as bare particulars does justice to the misfortune of death, and points the way to a general theory of nonexistent objects. (shrink)