This short essay outlines the problem Taurek responds to and the argument he uses in Should the Numbers Count. His argument posits that in a situation where you can either prevent harm to one stranger or five strangers but you cannot prevent harm to all six, the best thing to do is is give each person an equal chance of survival by flipping a coin. Although this paper is largely an explication, I do provide a short critique (...) of Taurek's argument. I claim flipping a coin overlooks the worth of the individual people at risk, and other solutions may be better suited to solve this ethical dilemma. (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.

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)

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)

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)

A very short, exegetical paper about Taurek's "Should the Numbers Count?," arguing against the view that Taurek requires giving chances.

The present work is focussed on the completeness of physics, or what is here called the Completeness Thesis: the claim that the domain of the physical is causally closed. Two major questions are tackled: How best is the Completeness Thesis to be formulated? What can be said in defence of the Completeness Thesis? My principal conclusions are that the Completeness Thesis can be coherently formulated, and that the evidence in favour if it significantly outweighs that against it. In opposition to (...) those who argue that formulation is impossible because no account of what is to count as physical can be provided, I argue that as long as the purpose of the argument in which the account is to be used are borne in mind there are no significant difficulties. The account of the physical which I develop holds as physical whatever is needed to fix the likelihood of pre-theoretically given physical effects, and hypothesises in addition that no chemical, biological or psychological factors will be needed in this way. The thus formulated Completeness Thesis is coherent, and has significant empirical content. In opposition to those who defend the doctrine of emergentism by means of philosophical arguments I contend that those arguments are flawed, setting up misleading dichotomies between needlessly attenuated alternatives and assuming the truth of what is to be proved. Against those who defend emergentism by appeal to the evidence, I argue that the history of science since the nineteenth century shows clearly that the empirical credentials of the view that the world is causally closed at the level of a small number of purely physical forces and types of energy is stronger than ever, and the credentials of emergentism correspondingly weaker. In opposition to those who argue that difficulties with reductionism point to the implausibility of the Completeness Thesis I argue that completeness in no way entails the kinds of reductionism which give rise to the difficulties in question. I argue further that the truth of the Completeness Thesis is in fact compatible with a great deal of taxonomic disorder and the impossibility of any general reduction of non-fundamental descriptions to fundamental ones. In opposition to those who argue that the epistemological credentials of fundamental physical laws are poor, and that those laws should in fact be seen as false, I contend that truth preserving accounts of fundamental laws can be developed. Developing such an account, I test it by considering cases of the composition of forces and causes, where what takes place is different to what is predicted by reference to any single law, and argue that viewing laws as tendencies allows their truth to be preserved, and sense to be made of both the experimental discovery of laws, and the fact that composition enables accurate prediction in at least some cases. (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 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)

John Taurek argues that, in a choice between saving the many or the few, the numbers should not count. Some object that this view clashes with the transitivity of ‘better than’; others insist the clash can be avoided. I defend a middle ground: Taurek cannot have transitivity, but that doesn’t doom his view, given a suitable conception of value. I then formalize and explore two conceptions: one context-sensitive, one multidimensional.

The idea that there are five senses dates back to Aristotle, who was one of the first philosophers to examine them systematically. Though it has become conventional wisdom, many scientists and philosophers would argue that this idea is outdated and inaccurate. Indeed, they have given many different answers to this question, ranging from just three (the number of different kinds of physical energy we can detect) to 33 or more senses. Perhaps surprisingly, the issue remains controversial, partly because it is (...) not clear exactly what should count as a ‘sense’. Should proprioception, balance and kinaesthesis, amongst others, be considered additional senses? And if so, how do we figure out how many senses we really have? -/- (Published in Turkish under the title ‘Çok Duyumlu Algi’). (shrink)

Kamm’s sore throat case gives us a choice: save one life, or save a distinct life and cure a sore throat. We defend the fairness explanation of the judgement that one should flip a coin to decide whom to save: it is disrespectful to let a sore throat act as a tie-breaker, because an individual would be forced to forgo a 50% fair chance of living (given to them by a coin flip), which cannot be outweighed by any number (...) of sore throats. We show that this explanation of when and why claims can permissibly break ties generates new problem cases for theories of aggregation, including theories that have been thought to accommodate the judgement that one should flip a coin in Kamm’s sore throat case. We then generalise the fairness explanation to cases involving multiple groups. (shrink)

The following are the characteristics of a genus: 1. Those to which the same figure of predication applies are one in genus. (Met. , Δ, 1016b32-35) 2. Things that are one in genus are all one by analogy while things that are one by analogy are not all one in genus. (Met, Δ, 1016b35-1017a3) 3. A genus includes contraries. (Met., Δ, 1018a25-31) 4. All the intermediates are in the same genus as one another and as the things they stand between. (...) (Met., I, 1057a18-30; 1057b31-34) 5. Not every predicate is a genus of what it is predicated on; for this would equate a genus with one of its own species. (PsA., A, 22, 83b7-10) 6. The opposite of the genus should always be the genus of the opposite. (To., Δ, 4, ^125a27-29) 7. A genus divides the object from other things. (To., Z, 3, 140a^24) 8. None of unity and being is a genus. (Met., B, 998b22-27; Met., K, 1059b31-34; PsA., B, 7, 92b12-14) 9. There is no necessity or even no possibility that things that are the same specifically or generically should be numerically the same. (To., H, I, 152b30-) 10. To be called one due to having one genus is in a way similar to be one due to having the same matter. (Met., Δ, 1016a24-28) 11. The substance of a thing involves its genus, and thereby all the higher genera are predicated of the lower. (To., Z, 5, 143a^20- ) 12. Being falls immediately into genera. (Met., Γ, 1004a4-6) A. Characteristics of relations between genera The characteristics of relations between genera, the relations between genera and species excluded, are as follows: 1. Genus is not an element in the composition of things. (Met., I, 1057b20-22) 2. Things resulting from the same division of the same genus are simultaneous by nature. (Cat., 13, 15a3-4) 3. Processes of proof cannot pass from one genus to another. (PsA., A, 23, 84b14-18) 4. It is not necessary for subordinate genera to have different accounts. (To., I, 15, ^107a19-) E.g. when we say a raven is a bird, we also say it is a certain kind of animal. 5. It is necessary for genera that are not subordinate one to the other to have different accounts. (To., I, 15, ^107a27-30) E.g. whenever we call a thing an engine, we do not call it an animal, nor vice versa. 6. If one of the genera is predicated in what it is, all of them, both higher and lower than this one, if predicated at all of the species, will be predicated of it in what it is; so that what has been given as genus is also predicated in what it is. (To., Δ, 2, ^122a10) 7. The same object cannot occur in two genera of which neither contains the other. (To., Z, 139b32-140a2) 8. Those to which the same figure (σχῆμα) of predication applies, are the same in genus. (Met., Δ, 1016b32-35) 9. Attributes that inhere always in each several things can be divided to two groups: those that are wider in extent but not wider than its genus and those wider than its genus. (PsA., B, 13, 96a24-27) 10. The relation between A and B must be extendable in respect of all the genera of A. Thus, if A is double of B, it must also be in excess, the genus of double, to B. Aristotle accepts, however, that this may be objectable in some cases: while knowledge is called knowledge of an object of knowledge, it cannot be called a state and disposition (which is the genus of knowledge) of an object of knowledge. In fact, it is a state and disposition of the soul. (To., Δ, 4, 124b28-34) B. Characteristics of species The following are the characteristics of species: 1. Things are said to be other in species if they are of the same genus but are not subordinate the one to the other. (Met., Δ, 1018a38-b2; Met., I, 1057b35-37) 2. Contraries are other than one another in species. (Met., Δ, 1018b5-7; Met., I, 1058b26-) 3. It is not sufficient for a difference to be the basis of distinguishing species in a genus because it belongs to the genus in virtue of its nature as, e.g., the difference between men and women belongs to animal in virtue of its nature. It must also be a modification peculiar to the genus (οἰκεῖα πάθη τοῦ γένους) in the strongest sense. (Met., I, 1058a29-37) Thus, contraries which are in the formula (ἐν τῷ λόγῳ) make a difference in species, but those which are in the compound material thing do not make one as e.g. being male and female is a difference in matter. (Met., I, 1058a37-b23) 4. Some things are peculiar to the species as distinct from genus: there are attributes peculiar to each distinct species. (PrA., A, 27, 43b27-29) 5. There is no necessity or even no possibility that things that are the same specifically should be the same numerically. (To., H, I, 155b30-) C. Characteristics of relations between genera and species The following are the characteristics of relations between genera and their species: 1. Although species predicated of individuals seem to be principles rather than the genera, it is hard to say, Aristotle asserts, in what sense species are to be taken as principles. (Met., B, 999a14-21) 2. Things that are one in species are all one in genus, while things that are one in genus are not all one in species. (Met., Δ, 1016b35a1) 3. The relation of a species to its genus is like the relation of primary substance to all others: the species is a subject for the genus (ὑπόκειται γὰρ τὸ εἴδος τῷ γένει) and the genera are predicated of the species but the species are not predicated of them. (Cat., 5, 2b17-22) 4. Of the species themselves- those which are not genera- one is no more a substance than another: a certain horse is no more a substance than another horse. (Cat., 5, 2b22-26) 5. Genera are prior to species since they do not reciprocate as to implication of existence (κατὰ τὴν τοῦ εἶναι ἀκολούθησιν). For example, if there is a fish there is an animal, but if there is an animal there is not necessarily a fish. (Cat., 13, 15a4-7) 6. What belongs both to a species and to its genus, it belongs to the species more properly indeed than to the genus. (PrA., A, 27, 43b29-32) 7. A predicate drawn from the genus is never ascribed to the species in a derived form and as its genus. Thus, e.g. coloured cannot be a genus of ‘white’ when we say ‘white is coloured.’ (To., B, I, ^109b1-5) 8. Genera are predicated of their species synonymously because the species take on both the name and the account of their genera. (To., B, I, ^109b3-6) 9. All the attributes that belong to the species belong to the genus as well but there is no necessity that all the attributes that belong to the genus should belong also to the species. (To., B, 4, 111a20-32) 10. Those things of which the genus is predicated must also of necessity have one of its species predicated of them. (To., B, 4, 111a33-) 11. The higher genus should be predicated of the species in what it is. (To., Δ, 2, ^122a6) 12. The species, or any of the things which are under the species, is not predicated of the genus because the genus is the term with the widest range of all. (To., Z, 6, 144a27f.) 13. The same species cannot be in two genera neither of which contains the other. (To., Z, 6, 144b14f.) 14. None of the species of a genus is prior or posterior to other species but they are thought to be simultaneous by nature. (Cat., 13, 14b38-15a1) 15. Daniel W. Graham points that sometimes Aristotle speaks of species as classes (Cat., 5, 2a14-17) and sometimes as properties or a certain character (ποιόν τι) of substances, which is difficult to be distinguished from the category of quality. (Cat., 3b13-22) D. Characteristics of differentia 1. The last differentia will be the substance, the definition and the form of the thing. (Met., Z, 1038a18-28) 2. If we divide according to accidental qualities, there will be as many differentiae as there are processes of division. (Met., Z, 1038a25-28) 3. The differentia divides the object from any of the things contained in the same genus. (To., Z, 3, 140a24-) 4. A. C. Lloyd argues that Aristotle’s logic of classification contains a vicious circle because: ‘For a genus to be predicated unequivocally and essentially of a species the specific differentiae have to be ‘appropriate’; but in order to know whether a proposed differentia is appropriate we have to know whether the genus is predicable essentially of the species thus defined.’ The predication of differentia on primary substance seems to make difficulties in Aristotle’s system, as Terence Irwin points out. It seems to violate the distinction of strong predication and inherence, a distinction between predication of count-nouns and predication of characterizing adjectives. Irwin says that this violation is only apparent because although the differentia-term is an adjective, its gender agrees with the gender of the understood genus-term and not with that of the subject term. ‘Man is biped’ is indeed ‘Man is a biped animal.’ This shows, Irwin asserts, ‘why Aristotle can still mention that strong predication is nominal and inherence is adjectival.’ Differentiae are not, however, secondary substances, as Aristotle himself insists. A differentia does not say what the thing is, as secondary substances do, but only what it is like or what sort it is. (ποιον: To., 122b12-17; 128a20-29; 139a28-31; 142b25-29) Nonetheless, differentiae are not qualities because they are not inherent. Thus, they cannot be regarded in any of the ten categories. Irwin thinks that this anomaly is unnecessary because Aristotle could give good reasons for taking differentiae to be second substances. E. Characteristics of relations between differentia and genera or species 1. It is not possible for the genus to be predicated of the differentia taken apart from the species. (Met., B, 998b23-25; Met., K, 1059b31-33; To., VI, 6, 144a32-b1) 2. It is not possible for the species of the genus to be predicated of the proper differentiae of the genus. (Met., B, 998b24-26) 3. Where the differentia is present, the genus accompanies it, but where the genus is, the differentia is not always present. (Met., Δ, 1014b12-14) 4. The number of species are equal to the number of differentiae. (Met., Z, 1038a15-18) 5. The differentiae of genera which are different and not subordinate one to the other are themselves different in kind. (Cat., 3, 1b16-20; To., I, 15, ^107b19-) 6. There is nothing to prevent genera subordinate one to the other from having the same differentia. (Cat., 3, 1b20-22) 7. Since the higher genera are predicated of the genera below them, all differentiae of the predicated genus will be differentia of the subject also. (Cat., 3, 1b21-24) 8. The definition of the differentia is predicated of that of which the differentia is said. (Cat., 5, 3a25-28) 9. In giving what a thing is it is more fitting to state the genus than the differentia. For example, anyone who says that man is an animal shows what man is better than who describes him as terrestrial. (To., Δ, 6, ^128a24-27) 10. The differentia always signifies a quality of the genus, but the genus does not do this of the differentia. (To., Δ, 6, 128a27-29; To., Z, 6, 144a20-23) 11. A specific differentia, along with the genus, always makes a species. (To., Z, 6, 143b^1-) 12. A genus is always divided by the differentiae that are co-ordinate with it in a division and the differentiae that are co-ordinate in a division are all true of the genus. (To., Z, 6, 143b^1-) 13. Differentia cannot be predicated of the genus because genus is the term with the wider range. (To., Z, 6, 144a27-) In fact, genus is predicated, not of the differentia, but of the object of which the differentia is predicated. (To., Z, 6, 144a^31-b3) 14. Neither species nor the objects under it can be predicated of the differentia because the differentia is a term with a wider range than the species. (To., Z, 6, 144b4-) 15. The differentia is posterior to genus but prior to the species. (To., Z, 6, 144b^9-) 16. The same differentia cannot be used of two genera neither of which contains the other and if they do not both fall under the same genus. Otherwise, the same species will be in two genera neither of which contains the other, which is impossible. (To., Z, 6, 144b14-) 17. Genus and differentia are prior to and more familiar than the species: ‘For annul the genus and the differentia; and the species too is annulled, so that they are prior to the species. They are also more familiar; for if the species is known, the genus and differentia must of necessity be known as well (for anyone who knows what a man is knows also what animal and terrestrial are), whereas if the genus or the differentia is known it does not follow of necessity that the species is known as well; thus the species is less intelligible.’ (To., Z, 4, 141b15-) F. Characteristics of relations in series of classes 1. Mutually exclusive series. If no term in the series ACD… is predicable of any term in the series BEF…, and if G- a term in the former series- is the genus of A, clearly G will not be the genus of B; since, if it were, the series would not be mutually exclusive. (PsA., A, 15, 79b6-11) 2. Atomic disconnection of series. Of two mutually exclusive series ACD and BEF, if neither A nor B has a genus and A does not inhere in B, this disconnection must be atomic. (PsA., A, 15, 79b6-14) G. Characteristics of relations of individuals 1. No individual in a species is more substance than another individual in another species. (Cat., 5, 2b26-28) An individual man, for instance, is no more a substance than an individual ox. 2. Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 3. Not distinguishing between class membership and class inclusion? Some commentators like Vlastos and Ackrill (1963, 76) criticized Aristotle because he, they believe, did not distinguish between class membership (between species and particulars) and class inclusion (between genera and their species). Having accepted this point, Daniel W. Graham believes it is ‘question-begging in a curious way.’ Phil Corkum thinks that Aristotle employs mereological notions. (This criticism seems so strange because all the Aristotle’s point in distinguishing species 2 from genera is strictly the distinction of class membership and class inclusion as they call them so. (shrink)

Multiple inherent biases related to different citation practices (for e.g., self-citations, negative citations, wrong citations, multi-authorship-biased citations, honorary citations, circumstantial citations, discriminatory citations, selective and arbitrary citations, etc.) make citation-based bibliometrics strongly flawed and defective measures. A paper can be highly cited for a while (for e.g., under circumstantial or transitional knowledge), but years later it may appear that its findings, paradigms, or theories were untrue or invalid anymore. By contrast, a paper may remain shelved or overlooked for years or (...) decades, but new studies or discoveries may actualize its subject at any moment. As citation-based metrics are transformed into "commercial activities," the "citation credit" should be considered on a commercial basis too, in the sense that "citation credit" should be shared out as a "citation dividend" by shareholders (coauthors) averagely or proportionally to their contributions but not fully appropriated by each of them. At equal numbers of citations, the greater number of authors, the lower "citation credit" should be and vice versa. Overlooking the presence of distorted and subjective citation practices makes many people and administrators "obsessed" with the number of citations to such an extent to run after "highly cited" authors and to create specialized citation databases for commercial purposes. Citation-based bibliometrics, however, are unreliable and unscientific measures; citation counts do not mean that a more cited work is of a higher quality or accuracy than a less cited work because citations do not measure the quality or accuracy. Citations do not mean that a highly cited author or journal is more commendable than a less cited author or journal. Citations are not more than countable numbers: no more, no less. (shrink)

A number of debates in philosophy of biology and psychology, as well as in their respective sciences, hinge on particular views about the relationship between genotypes and phenotypes. One such view is that the genotype-phenotype relationship is relatively straightforward, in the sense that a genome contains the ?genes for? the various traits that an organism exhibits. This leads to the assumption that if a particular set of traits is posited to be present in an organism, there must be a corresponding (...) number of genes in that organism's genome to account for those traits. This assumption underlies what can be called the ?counting argument,? in which empirical estimates of the number of genes in a genome are used to support or refute particular hypotheses in philosophical debates about biology and psychology. In this paper, we assess the counting argument as it is used in discussions of the alleged massive modularity of the brain, and conclude that this argument cannot be upheld in light of recent philosophical work on gene concepts and empirical work on genome complexity. In doing so, we illustrate that there are those on both sides of the debate about massive modularity who rely on an incorrect view of gene concepts and the nature of the genotype-phenotype relationship. (shrink)

Humans coordinate their focus of attention with others, either by gaze following or prior agreement. Though the effects of joint attention on perceptual and cognitive processing tend to be examined in purely visual environments, they should also show in multisensory settings. According to a prevalent hypothesis, joint attention enhances visual information encoding and processing, over and above individual attention. If two individuals jointly attend to the visual components of an audiovisual event, this should affect the weighing of visual (...) information during multisensory integration. We tested this prediction in this preregistered study, using the well-documented sound-induced flash illusions, where the integration of an incongruent number of visual flashes and auditory beeps results in a single flash being seen as two (fission illusion) and two flashes as one (fusion illusion). Participants were asked to count flashes either alone or together, and expected to be less prone to both fission and fusion illusions when they jointly attended to the visual targets. However, illusions were as frequent when people attended to the flashes alone or with someone else, even though they responded faster during joint attention. Our results reveal the limitations of the theory that joint attention enhances visual processing as it does not affect temporal audiovisual integration. (shrink)

Ortega y Gasset is known for his philosophy of life and his effort to propose an alternative to both realism and idealism. The goal of this article is to focus on an unfamiliar aspect of his thought. The focus will be given to Ortega’s interpretation of the advancements in modern mathematics in general and Cantor’s theory of transfinite numbers in particular. The main argument is that Ortega acknowledged the historical importance of the Cantor’s Set Theory, analyzed it and articulated (...) a response to it. In his writings he referred many times to the advancements in modern mathematics and argued that mathematics should be based on the intuition of counting. In response to Cantor’s mathematics Ortega presented what he defined as an ‘absolute positivism’. In this theory he did not mean to naturalize cognition or to follow the guidelines of the Comte’s positivism, on the contrary. His aim was to present an alternative to Cantor’s mathematics by claiming that mathematicians are allowed to deal only with objects that are immediately present and observable to intuition. Ortega argued that the infinite set cannot be present to the intuition and therefore there is no use to differentiate between cardinals of different infinite sets. (shrink)

Should objects count as necessarily having certain properties, despite their not having those properties when they do not exist? For example, should a cat that passes out of existence, and so no longer is a cat, nonetheless count as necessarily being a cat? In this essay I examine different ways of adapting Aldo Bressan’s MLν so that it can accommodate an affirmative answer to these questions. Anil Gupta, in The Logic of Common Nouns, creates a number (...) of languages that have a kinship with Bressan’s MLν , three of which are also tailored to affirmatively answering these questions. After comparing their languages, I argue that metaphysicians and philosophers of language should prefer MLν to Gupta’s languages in most applications because it can accommodate essential properties, like being a cat, while being more uniform and less cumbersome. (shrink)

In this paper Russell’s definition of number is criticized. Russell’s assertion that a number is a particular kind of set implies that number has the properties of a set. It is argued that this would imply that a number contains elements and that this does not conform to our intuitive notion of number. An alternative definition is presented in which number is not seen as an object, but rather as a process and is related to the act of counting and (...) is tightly bound up with the idea of time. Working from the idea that the description of a thing is not the thing itself, it is argued that a function should not be seen as a subset of the Cartesian product of two sets but can be described in this way. Number is then defined as a particular type of bijective function rather than a set. Definitions of equality and addition are developed. In defining addition an interesting error in Russell’s definition of addition is corrected. (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)

Respondeat superior is a legal doctrine conferring liability from one party onto another because the latter stands in some relationship of authority over the former. Though originally a doctrine of tort law, for the past century it has been used within the criminal law, especially to the end of securing criminal liability for corporations. Here, I argue that on at least one prominent conception of criminal responsibility, we are not justified in using this doctrine in this way. Firms are not (...) answerable for the crimes committed by their employees, because firms cannot answer as to why the crime was committed; they lack the authority to offer the employee’s reasons for action. Though this rules out respondeat superior as a general principle, I show contexts in which vicarious liability is still appropriate in the criminal law, and I respond to a number of other concerns raised by this picture. (shrink)

Empirical findings may be relevant for aesthetic evaluation in at least two ways. First — within criticism — they may help us to identify the aesthetic value of objects. Second— whithin philosophy — they may help us to decide which theory of aesthetic value and evaluation to prefer. In this paper, I address both kinds of relevance. My focus is thereby on empirical evidence gathered, not by means of first-personal experiences, but by means of third-personal scientific investigations of individual artworks (...) or, more generally, our interaction with art. The main thesis to be defended is that third-personal empirical findings are of limited significance for both critical and philosophical aesthetics. Indeed, they matter only to the extent to which they draw our attention to features or facts that we then iden- tify, from our first-personal perspective, as aesthetically relevant — for instance, as reasons counting for or against certain ascriptions of aesthetic value, or as factors that causally influence our actual as- sessments and thus render them partly inadequate or irrational. This limited significance of empirical findings is in line with the rationalist approach to the formation and justification of aesthetic judgements, that I have already started to defend elsewhere. -/- With respect to critical aesthetics, one problem is that empirical investigations cannot capture the normativity of the aesthetic relevance of lower-level features or facts: the respective studies can tell us what we take to be reason-giving or valuable, but not what is reason-giving or valuable. Furthermore, we cannot use empirically knowable principles to infer the presence of aesthetic values or reasons on the basis of recognising measurable lower-level features because the only available principles are too specific to allow for their actual application to more than one existing object, or even for their actual formulation. For their antecedents make reference to a large number of very determinate properties, as well as sometimes to particular events of creation. The only exception are conceptual principles (such as ‘something symmetrical is balanced’) or default principles (such as ‘something elegant is, by default, beautiful’). But knowledge of these principles is of little inferential use due to the holistic character of the justificatory power of aesthetic reasons and, moreover, does not allow for empirical acquisition. -/- With respect to philosophical aesthetics, I start with considering the limits of evolutionary accounts of aesthetic value. Even if it is true that humans originally came to value artworks because they recognised that artworks reveal certain skills or features of artists (such as imaginativeness or resourcefulness) that are desirable in sexual partners, it does not value that our reasons for valuing art have not changed, or at least not become much more complex. In addition, the answer to the question of why we value art from an evolutionary perspective has no obvious bearing on the issue of how we should appreciate art from an aesthetic perspective, or what such aesthetic appreciation would consist in. On the other hand, experimental studies showing that our actual aesthetic evaluations are influenced by factors (such as exposure e ects, or knowledge of the prices of objects), that undermine the good standing of our responses, just reveal that it is more difficult than perhaps expected to form sound aesthetic judgements; and that we need to improve our future aesthetic judgements by diminishing as much as possible the impact of those factors. (shrink)

The paper investigates whether it is plausible to hold the late stage demented criminally responsible for past actions. The concern is based on the fact that policy makers in the United States and in Britain are starting to wonder what to do with prison inmates in the later stages of dementia who do not remember their crimes anymore. The problem has to be expected to become more urgent as the population ages and the number of dementia patients increases. This paper (...) argues that the late-stage demented should not be punished for past crimes. Applicable theories of punishment, especially theories with an appropriate expressivist, or communicative element, fail to justify the imprisonment of the late-stage demented. Further imprisonment would require a capacity for comprehension on the part of the punished, and, under certain narrowly specified conditions, even a capacity to be at least in principle capable of recalling the crime again. (shrink)

Some authors argue that we have a moral obligation to leave Mars the way it is, even if it does not harbour any life. This claim is usually based on an assumption that Mars has intrinsic value. The problem with this concept is that different authors use it differently. In this chapter, I investigate different ways in which an uninhabited Mars is said to have intrinsic value. First, I investigate whether the planet can have moral standing. I find that this (...) is not a plausible assumption. I then investigate different combinations of objective value and end value. I find that there is no way we can know whether an uninhabited Mars has objective end value and even if it does, this does not seem to imply any moral obligations on us. I then investigate whether an uninhabited Mars can have subjective end value. I conclude that this is very plausible. I also investigate whether an uninhabited Mars can have objective instrumental value in relation to some other, non-Mars related end value. I find also this very plausible. It is also highly plausible, however, that spreading (human or other) life to a presently uninhabited Mars can also have subjective end value, as well as objective instrumental value. I mention shortly two ways of prioritising between these values: (1) The utilitarian method of counting the number of sentient beings who entertain each value and determining the strength of the values to them. (2) Finding a compromise that allows colonisation on parts of the planet while leaving other parts untouched. These methods should be seen as examples, not as an exhaustive list. Also, I do not take a definitive stand in favour of any of the two approaches, though it seems at least prima facie that the second approach may have a better chance of actually leading to a constructive result. (shrink)

The efficiency or the development of a bank can be plumbed by different measures like deposits, advances, working assets, incomes, expenditures, profits, no of assets, number of accounts and branches etc. The role of employees is also of great signification as each and every expression of a bank is directly affiliated to the attitude, motivation and work civilisation of the employees. so the parameters which are used to count the efficiency, should also incorporate the performance of their employees. (...) In the current study the employee performance reasoning of selected co.opt bank has been performed on the basis of 2 ratios. a . working funds employee b . operating profit employee ratio. In this research article researcher study the employee work productivity of BCC and AJMB bank. Dr. Nitin J. Dhamsaniya | Dr. Achyut C. Patel "A Comparative Study On Employee Productivity Of Amreli Jilla Madhyasth Sahkari Bank And The Baroda Central Cooperative Bank" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-1 | Issue-1 , December 2016. (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)

In today’s world of global university rankings, there’s an increasing push to prioritize STEM fields over the humanities, especially in Bangladesh. With so much emphasis on high publication counts, we risk sidelining disciplines that foster intellectual depth, ethical insight, and critical thinking, qualities essential for tackling complex societal challenges. But is this focus on quantity, or simply ticking off outcome-based education (OBE) requirements, really serving us? Take the call for constitutional reform: can scientists or engineers, however brilliant, lead such profound (...) changes? It’s experts in the humanities, law, and social sciences who bring the skills needed for these issues. Education should be more than a numbers game. Instead of narrowly focusing on rankings and outputs, we need universities that contribute meaningfully to Bangladesh’s growth by valuing a balanced, well-rounded education that prepares reflective, engaged citizens for the challenges ahead. (shrink)

How should we measure knowledge? According to the Counting Approach, we can measure knowledge by counting pieces of knowledge. Versions of the Counting Approach that try to measure knowledge by counting true beliefs with suitable support or by counting propositions known run into problems, stemming from infinite numbers of propositions and beliefs, difficulties in individuating propositions and beliefs, and cases in which knowing the same number of propositions contributes differently to knowledge. In this paper I develop a novel (...) question-relative and contextualist version of the counting approach, which measures an agent's knowledge by counting the number of complete answers of a contextually salient issue they can rule out. The question-relative and contextualist version of the Counting Approach avoids the issues for the proposition and belief-based systems, and offers a general, systematic, and explanatory system for measuring knowledge. (shrink)

The aim of this paper is to explore and understand the Albanian Party System. The analysis will cover the period from the collapse of the communist regime in 1991 until 2014. It will try to investigate what forces drive the battle of the parties, what cleavages 'divide' society and consequently the party system as well as which are the parties that count the most. in order to assess this, the paper will focus on the parliamentary parties and will relay (...) on various theoretical concepts of the contemporary literature on political parties. First it will draw on Sartori's concept of 'relevance' in order to understand whether all the parliamentary parties over the course of twenty four years of pluralism are important or not and what weight do they have. Then it will use the Laakso - Taagepera index of the Effective Number of Parties to understand how power is distributed within the parliament. (shrink)

In this paper, I endorse the idea that age is a defensible criterion for eligibility to vote, where age is itself a proxy for having a broad set of cognitive and motivational capacities. Given the current (and defeasible) state of developmental research, I suggest that the age of 16 is a good proxy for such capacities. In defending this thesis, I consider alternative and narrower capacity conditions while drawing on insights from a parallel debate about capacities and age requirements in (...) the criminal law. I also argue that the expansive capacity condition I adopt satisfies a number of powerful and complementary rationales for voting eligibility, and conclude by addressing challenging arguments that, on the one hand, capacity should not underlie voting eligibility in the first place, and, on the other, that capacity should do so directly and not via any sort of proxy, including age. (shrink)

Predication is a lingual relation. We have this relation when a term is said (λέγεται) of another term. This simple definition, however, is not Aristotle’s own definition. In fact, he does not define predication but attaches his almost in a new field used word κατηγορεῖσθαι to λέγεται. In a predication, something is said of another thing, or, more simply, we have ‘something of something’ (ἓν καθ᾿ ἑνὸς). (PsA. , A, 22, 83b17-18) Therefore, a relation in which two terms are posited (...) to each other in a way that one is said (predicated) of the other is a predication. The term of which the other term is said is called a subject (ὑποκειμένον) and the other, which is said about the subject, is called the predicate. Thus, in a predication the predicate is predicated of the subject; given that being predicated is almost as the same as being said. The relation between being said and being predicated is so close that ‘if something is said of a subject both its name and its definition are necessarily predicated of the subject.’ (Cat., 5, 2a19-26) This, however, is true only about the second genera and not the accidents. a) Nature of relation in predication What is Aristotle’s theory about the nature of the relation in a predication? How does he fundamentally understand this relation? Phil Corkum distinguishes between predication logic and traditional term logic and argues that the relation between subject and predicate in Aristotle is of the latter kind. While in predicate logic, subjects and predicates have distinct roles, they have the same role in traditional term logic. In predication logic, subjects refer, but predicates characterize. Thereupon, a sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. In traditional term logic, both subjects and predicates refer and a sentences expresses a truth if both name one and the same thing. He concludes that Aristotle ‘problematically conflates prediction and identity claims’ because while he thinks both subjects and predicates refer, he would deny that a sentence is true just in case the subject and the predicate name one and the same thing. Based on this, Corkum believes that Aristotle’s core semantic is not identity but the weaker relation of constitution, which is a mereological interpretation: ‘All men are mortal’ is true just in case the mereological sum of humans is part of the mereological sum of mortals. b) Aristotle’s theory of predication: one or two theories? Frank Lewis finds an inconsistent gap between the theory of predication in the Categories and that in the later books of the Metaphysics VII, 6. So too Joan Kung, Terry Irwin, Daniel Graham. c) Distinction of ‘being said of’ and ‘being in’ Owen enumerates the texts in which Aristotle’s distinction between ‘being said of’ and ‘being in’ is asserted: OI. 11b38-12a17; To., 127b1-4; Cat. 1a20-b9; 2a11-14; 2a27-b6; 2b15-17; 3a7-32; 9b22-24 d) Predication in Aristotle and the standard ‘S is P’ Marie De Rijk Lambertus thinks that the ‘S is P’ pattern is misleading when it comes to express predication in Aristotle. In his view, ‘The Aristotelian procedure should be described in terms of appositively assigning an attribute (κατηγορούμενον) to a substrate (ὑποκείμενον), rather than ascribing a predicate to a subject by means of a copula…. The comment should be considered an attribute which is said to fall to a substrate, without understanding this procedure in terms of sentence predication.’ e) Aristotle’s predication: bipartite or tripartite? It is a difficulty to make Aristotle’s theories of name-verb predication and tripartite predication consistent. The reason is that tripartite is not consistant with his name-verb structure based on which he says that the predicate term is the ‘verb.’ (20a31; 20b1-2; 16a13-5) The problem is that in a tripartite form like ‘Socrates is white’ we cannot take ‘is white’ as the verb because, based on Aristotle himself, no part of a verb can be significant itself. (16b6-7) However, his assertions about the equivalences between the two structures (OI. 12, 21b9-10; PrA. 51b13-16; Met., 1017b22-30) must mean that they are not inconsistent in his own view. Thus, as Allen Bāck points, ‘Aristotle seems to think that he has a single, consistent theory.’ The sense of saying or speaking as the root sense of rhema makes the relation between predication (saying something of something) and verb more interesting. The use of rhema in the sense of a long expression approves this. In Plato’s work (399ac) where Socrates claims that the name anthropos derives from anthron ha opopen (‘he who examines what he has seen’) we have an onoma from, or in place of, a rhema. 1) Subject The subject (ὑποκειμένον) is that of which another term is said or predicated. Aristotle’s own definition is of a much more philosophical value: ‘By subject I mean that which is expressed by an affirmative term (λέγω δὲ ὑποκείμενον τὸ κάταφάσει δηλούμενον).’ (Met., K, 1067b18) Throughout Aristotle’s work, three kinds of subjects can be found: possible, prime and absolute subject. a) Possible subject Those things that can take the position of a subject in a predication we call possible subjects, no matter they can or cannot take the position of predicate in any predication. All terms except the ultimate predicates are possible subjects because they can take the position of subject. b) Prime subject Those that in any predication can only take the position of a subject and not the position of a predicate are prime subjects. (Cat., 5, 3a36-b2; Met., Z, 1028b36-1029a1) This is the truest sense of subject and belongs only to substances. (Met., Z, 1029a1-2) In fact, ‘that which is not predicated of a subject, but of which all else is predicated’ is a substance. (Met., Z, 1029a7-9) In Categories, besides primary substances (Cat., 2, 1b3-6), individual qualities are also said not to be able to be said of anything else. (Cat., 2, 1a23-29) Aristotle’s examples are a certain ‘knowledge-of-grammar’ (τὶς γράμματικὴ) and ‘an individual white’ (τὸ τὶ λευκὸν). Thus, although substances are indeed in the truest sense individuals and, thereby, in the truest sense primary subjects, other individuals can take the position of subject as well. c) Absolute subject While substances are prime subjects of all other things, there is still something of which substances can be predicated and this predication is not an accidental predication: matter. (Met., Z, 1029a21-24) This predication is, indeed, the predication of a ‘form or this’ on matter and material substance. (Met., Θ, 1049a34-36) The only thing that is absolutely a subject, therefore, and can be a predicate is prime matter (πρώτη ὓλη). (Met., Θ, 1049a24-27) d) Subject and substance The most important thing in being a substance is being a subject: ‘It is because the primary substances are subjects for all the other things and all the other things are predicated of them or are in them, that they are called substances most of all.’ (Cat., 5, 2b15-17) And what is nearer to this position is more a substance as a species is more a substance than a genus.’ (Cat., 5, 2b7-8) e) Primary versus accidental subject A subject is a primary subject in a predication when the predicate is predicated of it as itself. In such a case, the subject is the subject of the predicate qua itself and not qua something else. A subject, on the one hand, is an accidental subject when it is not the primary subject of the predicate that is predicated on it. It means that a subject is an accidental subject when the predicate is predicated of it not qua itself but qua something else. An accidental subject is, therefore, anything other than a substance. 2) Predicate as universal It is evident from our discussion of kinds of subjects that except matter, primary substances (if we ignore both accidental predication and cases of absolute subjects) and other individuals, everything else can take the position of a predicate. Since primary substances are individuals, it results that everything except matter and individuals are capable to take the position of predicate. The immediate consequence of this is that the predicate must be a universal. When individuals cannot take the position of predicate, this position cannot be taken by any particular. Therefore, only universals can be predicated of others. Moreover, albeit universals can be a simple subject (for another universal), they are not prime subjects. The closeness of universal and predicate is to the extent that Aristotle differentiates universal from subject. (Met., Θ, 1049a27-30) 3) Categories or classes of predicates Aristotle distinguishes ten highest classes into one of which each predicate must necessarily fall: substance (or what a thing is), quality, quantity, relation, place, time, position, state, activity and passivity. (Cat., 4, 1b25-27; To., I, 9, 103b20- ; PsA., A, 22, 83b13-23) The substance counted among predicates must refer to secondary and not primary substances not only because Aristotle insists that primary substances cannot be predicated but also from his own examples of the category of substance: man and animal. (To., I, 9, 103b25) However, if a predicate be asserted of itself or its genus be asserted of it, the predicate signifies substance or what is; but if ‘one kind of predicate is asserted of another kind,’ it signifies one of the other nines. (To., I, 9, 103b30) These categories are so comprehensive that no predicate can remain outside them so that even non-being has as many senses as categories. (Met., M, 1089a26-30) a) That whether Aristotle’s categories are merely linguistic or fundamentally ontological is a so much controversial dispute. Some like G. E. R. Lloyd believe that ‘categories are primarily intended as a classification of reality … rather than of the signifying terms themselves.’ b) Although Aristotle’s categories have been historically regarded as a classification of predications, there are some recent commentators like Jonathan Barnes that think it is classifying predicates and not predications. 4) Kinds of predicates In his introduction of Categories, as J. W. Thorp truly points out , Aristotle distinguishes between the category of substance and the other categories using μὲν ... δὲ construction. This construction illustrates that beside tenfold classification of categories, there is an even more crucial differentiation between two kinds of predicates: substance or what is on the one hand and the other nine ones on the other hand: the distinction between what is predicated of the subject as what it is and what is predicated of it as an accident. Therefore, we have three kinds of classification - a twofold, a fourfold and a tenfold-complicatedly classifying the same thing, viz. the predicate. Predicates can be divided also to four kinds: property, definition, genus and accident. (To., I, 4, 101b11-20) A property is that predicate that is convertible with its subject and does not signify its essence. A definition is that predicate that is convertible with its subject and signifies its essence. It is a genus if it is not predicated convertibly and is contained in the definition of its subject. And it is an accident if it is neither convertible nor contained in the definition of its subject. (To., I, 8, ^103b3) All of these four kinds are among categories. (To., I, 9, 103b20) It seems that there might be some kind of relation between the twofold and the fourfold distinction: whereas genus and definition are predicated as what it is, accidents are not so predicated. There seems to be some rules that determine to each of these four kinds each predicate belongs. At To., IV, 123b30ff. Aristotle asserts: ‘If B has a contrary and A does not, then B does not belong to A as its genus.’ There is a dispute around per se accidents (τὰ καθ’ αὑτὰ συμβεβηκότα) (Topics., 102a18) whether they must be regarded as either of the four kinds or as a fifth kind. Barnes (1970) argued that they ‘do not fit at all neatly into the fourfold classification.’ He argues that based on the definition of accidents at A, 5, 102b4-5, they must be accidents but based on another definition, A, 5, 102b6-7, they cannot be accidents. He also defends the view that they are not properties. Barnes concludes: ‘This shows that the two definitions are not equivalent, and hence that the ‘predicables’ are not well-defined.’ Demetris J. Hadgopoulos defends the view that the two definitions of accidents are equivalent and per se accidents are properties. 5) Five types of predications We have five kinds of predications based on our division of subjects and our discussion of predicates: simple, primary (itself divided to substantial and accident), accidental (itself divided to primary and secondary), aoincidental and absolute predication. a) Simple predication. This is a predication in which a universal is predicated of either a particular or a universal subject. This sense of predication includes all other senses except the first kind of accidental predication. b) Primary predication. This is a predication in which a universal is predicated of a primary subject, namely a substance. A primary predication is of two kinds: i) Substantial predication. A primary predication in which the predicate is part of, or is included in, the definition of the subject. The universal that is the predicate here is the definition or the genus or the species or the diferentia of the subject. It is this predication that Aristotle calls a unity: ‘A statement may be called a unity … because it exhibits a single predicate as inhering not accidentally in a single subject.’ (PsA., B, 10, 93b35-37) It is only substantial predicates that can be predicated of each other: ‘Predicates which are not substantial are not predicated of one another.’ (PsA., A, 22, 83b18-19) Aristotle defines a substantial predication also in another way. A predication in which a higher genus is predicated on a lower genus, species, a substance or an individual, (or a species is predicated on an individual) is a substantial predication. Therefore, a substantial predication is a predication in a series that has individuals on one of its ends and a general category on its other end. In fact, only substantial predicates can be predicated of one another. (PsA., A, 22, 83b17-19) This series cannot be an infinite series because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) -/- ii) Accident predication. A primary predication in which the predicate is not part of, or is not included in, the definition of its subject. The universal that is the predicate here is the property or the accident of the subject. c) Accidental predication. This is a predication in which the subject is not a primary subject and its predicate is a substance. This predication is of two kinds: i) Primary accidental predication. This is a predication in which an accident is predicated of substance. Such a predication can go ad infinitum, which is inferable from Aristotle’s assertion that the secondary accidental predication cannot go ad infinitum. ii) Secondary accidental predication. It is a predication in which an accident is predicated of another accident. Such a predication, Aristotle asserts, cannot go ad infinitum because even more than two accidents cannot be combined. Now what is the meaning of Aristotle’s assertion that we cannot continue this ad infinitum? Does it mean that we cannot continue the predication ‘The musician is white’ and say ‘The white is Athenian?’ But why not? Or maybe he means that by adding any predication, we are still in a condition of predicating two accidents of a substance on each other. -/- As primary subjects, substances can also take the position of predicate though not essentially but accidentally. In propositions like ‘the white is a log’ or ‘That big thing is a log’ we observe substance taking the position of predicate but this is only accidentally: ‘When I affirm ‘the white is a log,’ I mean that something which happens to be white is a log- not that white is the subject in which log inheres (οὐχ ὡς τὸ ὑποκείμενον τῷ ξύλῳ τὸ λευκόν ἐστι), for it was not qua white or qua a species of white that the white (thing) came to be a log (οὔτε λευκὸν ὄν οὔθ᾿ ὃπερ λευκόν τι ἐγἐνετο ξύλον), and the white (thing) is consequently not a log except incidentally.’ (PsA., 22, 83a3-9) Aristotle compares this accidental use of substance in the position of predicate with the substantial use of it in the place of a subject: ‘On the other hand, when I affirm ‘the log is white,’ I do not mean that something else, which happens to be a log, is white (οὐχ ὃτι ἓτερόν τί ἐστι λευκόν, ἐκείνῳ δὲ συμβέβηκε ξύλῳ εἶναι), (as I should if I said ‘the musician is white,’ which would mean ‘The man who happens also to be a musician is white’); on the contrary, log is here the subject- the subject which actually came to be white, and did so qua wood or qua a species of wood and qua nothing else.’ (PsA., 22, 83a8-14) Aristotle asks us not to call propositions like ‘The white is a log’ a predication at all or at least call them accidental predication instead of simple (ἁπλως) predication. (PsA., A, 22, 83a14-17) An accidental predication, in which we have a substance in the place of predicate, is different from an essential predication in that while the subject of an accidental predication is said to be the predicate not by itself but as something different with which it coincides, the subject of an essential predicate is said to be the predicate by itself and not because it is something else: ‘Since there are attributes which are predicated of a subject essentially and not accidentally- not, that is, in the sense in which we say ‘That white (thing) is a man,’ which is not the same mode of predication as when we say ‘The man is white’: the man is white not because he is something else but because he is man, but the white is man because ‘being white’ coincides with ‘humanity’ within one subject. Therefore, there are terms such as are essentially subjects of predicates. (PsA., A, 19, 81a24-29) This capability of ‘non-essentially and only accidentally’ being a subject does belong, in fact, to all sensible things. (PsA., A, 27a32-36) d) Coincidental predication. this is a predication in which none of the subject and predicate are a substance or an individual. In this predication, one of the accidents of a substance or individual is predicated of one of the other accidentals of the same substance or individual. For example, when it is said that ‘The white is musical,’ there is an individual, say Socrates, for which both of white and musical are accidents. e) Absolute predication. This is a predication in which a form or a substance is predicated of a matter or a material substance. Some commentators like Loux and Lewis regarded this predication as close to accident predication, both based on inherence. As R.M. Dancy points out, these predications make Aristotle’s theory of predication immanentist: not only accident predications are explained by the immanence of accidents in substances, some of the substantial predications, which were not explained in Categories, are also explained by the immanence of form in matter. It is interesting that in this kind of predication, it is the predicate and not the subject, which is in the strictest sense substance. As the central books of Metaphysics claim, the form is the substance. Thus, in this predication, substance gets away from the sense of ὑποκείμενον. Corkum mentiones 68a19 as the only instance where Aristotle explicitly claims that a term may be predicated of itself, a passage that is, in Corkum’s view, problematic. 6) Demonstrable predicates Those predicates are demonstrable that are so related to their subjects that there are other predicates prior to them predicable of their subjects (ἔτι δ᾿ ἄλλος, εἰ ὧν πρότερα ἄττα κατηγορεῖται). (PsA., A, 22, 83b32-34) 7) Series of predications Since it is possible for a predicate to be itself the subject of another predication, we can have a series of predications in which the predicate of a predication is the subject of the next predication. This series has the following features: a) It has a limit (in number) (PsA., A, 22, 83b14-16) on the side of subjects: there are subjects that cannot themselves be predicated (PsA., A, 27, 43a39-41), which are, as we noted, prime subjects: particulars, i.e. prime substances and other individuals. (PsA., A, 19-22) Aristotle calls them ultimate (ὓστατον). (PsA., 21, 82a36-b1) b) It has a limit (in number of kinds) (PsA., A, 22, 83b14-16) also on the side of predicates: there must be predicates that cannot be subjects. (PsA., A, 19-22; PsA., A, 27, 43a36-39) Aristotle calls them primary (πρῶτον). (PsA., A, 21, 82b1-4) These are the highest categories or the highest genera of categories. (PsA., A, 22, 83b14-16) c) The series has an escalating shape from mere subjects at its downside to mere predicates at its upside. It is Aristotle himself whos uses the words up and down in this sense. (e.g. PsA., A, 22, 83b2-3) d) The predications that lie between lowest and highest ones must be finite in number. (PsA., A, 19-22 especially: 20, 82a21-35) These have subjects and predicates, each capable of both of the roles of being subject and being predicated. A result of this fitness is that neither demonstration can go to infinity nor everything is demonstrable, the two points Aristotle always insist on. e) The upward side includes the more universal ones and the downward the more particular ones. (PsA., 20, 82a21-23) f) It follows from the above features that ‘neither the ascending nor the descending series of predications … are infinite.’ (PsA., A, 22, 83b24-25) g) Reciprocation and convertibility. Except in case of terms (i.e. subjects and predicates) that are at each of the ends of series of predications, namely ultimates and primaries, it is possible to reciprocate (ἀντιστρέφειν) terms and convert the predication. (PsA., A, 19, 82a15-20) h) Antipredication. Antipredication means that in a predication (S is P), the subject becomes the predicate of its predicate (P is S) in the same category its predicate was predicated on it. For example, if P is in the category of quality, antipredication means that S be predicated of P in the category of quality. In other words, P is a quality of S and S is a quality of P. Aristotle rejects this. (PsA., A, 22, 83a36-b3) i) Self-predication versus other-predication. Aristotle distinguishes between a predication in which a term is said of itself and a predication in which a term is said of another. (Phy., Δ, 2, 209a31-33) j) Predicablity (Cat., 5, 3a36-b2): 1) Primary substances and individuals are not predicable. 2) Secondary substances are of two kinds: genus and species i) Genus is predicable able both of the species and of the individuals. ii) Species is predicable of the individual. 3) Differentiae are predicable both of the species and of the individuals. 8) Predication as classification a) Richard Patterson believes that Aristotle’s so repeated construction using hoper (estin A hoper B) in Topics (120a23 sq., 122b19, 26sq., 123a, 124a18, 125a29, 126a21, 128a35. Also in Posterior Analytics (83a24-30) (Brunschwig’s list. ‘expresses the fact that A is a kind of B (esti A B tis), that A is a species of the genus B.’ 9) Universal predication Aristotle defines universal predication (κατὰ παντὸς κατηγορεῖσθαι) as such: ‘wherever no instance of the subject (τῶν τοῦ ὑποκειμέμνου) can be found of which the other term cannot be asserted.’ (PrA., A, 24b27-29) In this predication, the subject is included in another as in a whole (ἐν ὃλῳ εἶναι) and the predicate is predicated of all of the subject (κατὰ παντὸς κατηγορεῖσθαι). (PrA., A, 24b26-27) Attach another discussion we had about ἐν ὃλῳ here. 10) Quantity of predication A predication, truly stated, has a quantity, which is the number of objects under the name of the subject of which the predicate is predicated. The quantity of subject can be stated in four ways: a. Indefinite: when the predicate belongs or does not belong to the subject without any mark to show to haw many of the particulars under the name of the subject it does or does not belong. E.g. ‘Man is white’; ‘Man is not white.’ (PrA., A, 24a20; OI., I, 7, 17b8-12) b. Universal quantity: When the predicate belongs to all or none of the subject. E.g. ‘Every man is animal’; ‘No man is animal.’ (PrA., A, 24a18-19; OI., I, 7, 17b5-6) The contrary of a predication of a universal quality is a predication of a universal quality. E.g. the contrary of ‘Every man is white’ is ‘No man is white.’ (OI., I, 7, 17b20-23) c. Particular quantity: When the predicate belongs (or does not belong) to some of the subject. E.g. ‘Some men are white’; ‘Some men are not white.’ (PrA., A, 24a19-20) d. Single quantity: when the subject is a proper name of only one object. E.g. ‘Socrates is white’; ‘Socrates is not white.’ The contrary of this predication is of a single quantity: ‘Socrates is not white.’ (OI., I, 7, 17b38-18a4) 11) Convertibility of predication. Some predications are convertible, that is, it is possible to change the place of subject and predicate in a true proposition so that the converted proposition remains true. This is supposed to mean that given the truth of a predication, the truth of the converted predication is inferable. The convert form of a predication depends on its quantity. a. Indefinite quantity: This predication has no strictly true convert because its quantity is not stated. b. Universal quantity: It can be converted in two ways: i) A negative universal can be converted to a negative universal in which the terms are changed. E.g. ‘No pleasure is good’ can be converted to ‘No good is pleasure.’ (PrA., A, 2, 25a5-8 and a14-19) ii) An affirmative universal can be converted to an affirmative particular in which the terms are changed. E.g. ‘Every pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a7-9) c. Particular quantity: If it is negative, it cannot be converted but if it is affirmative, it can be converted to an affirmative predication with particular quantity. E.g. ‘Some pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a10-13 and a20-24) d. Single quantity: It cannot be converted. 12) Characteristics of relations between subject and predicate 1. A predicate is of a wider range than its subject. It is based on this fact that Aristotle: a) Prevents individuals to be predicate because there is nothing of which an individual be of a wider range. In other words, it is due to the fact that since an individual is only ‘one particular’ thing and, thus, cannot be of a wider extent than anything that Aristotle prevents them of being a predicate. Matthews, however, thinks we cannot use Socrates, a substance and an individual, in the place of predicate and say it of Socrates because ‘Socrates does not classify Socrates: it names him.’ b) Prevents differentia, species and things under species to be predicated of genus. (To., Z, 6, 144a27-) c) Prevents the species and the things under it to be predicated of the differentia. (To., Z, 6, 144b1-4) d) Also about the effect because it is wider than its subject. (PsA., B, 17, 99a) e) Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 2. The predicate of a predicate of a subject will be predicated of the subject too: ‘whenever one thing is predicated of another as of a subject, all things said of what is predicated will be said of the subject too.’ (Cat., 3, 1b10-15) In fact, it is due to its predication of the subject that it is predicated of its predicate. (Cat., 5, 2a36-b1) Moreover, what is not predicated of the predicate of a subject cannot be predicated of it as well. (PrA., A, 27, 43b22-27) Thus, what, for example, is not predicated of animal, cannot be predicated of man. 3. The predicate of a subject can be predicated of its predicates as well. (Cat., 5, 3a1-6) For example, you call the individual man grammatical and, thence, you call both a man and an animal grammatical. Nonetheless, the predicate of a subject belongs to it more properly than to its higher predicates. (PrA., A, 27, 43a27-32) 4. It is only the subject that can be distributed and not the predicate. (PrA., A, 27, 43b16-22; OI, I, 7, 17b12-16) Therefore, we can say e.g. ‘Every man is animal’ but we cannot say ‘Every man is every animal.’ 5. It is the reason of the relation between subjects and predicates, that is the reason of predication, which is the subject of inquiry. (Met., Z, 1041a20-24) In other words, since it is a meaningless inquiry to ask why a thing is itself (Met., Z, 1041a14-15), the only remaining meaningful inquiry is to ask why something is something else, i.e. to ask about the reason of predication. 6. A subject cannot categorize its predicate in the same category in which it is categorized by it. If e.g. A is a quality of B, B cannot be a quality of A. Therefore, there is no reciprocation in the same category. (PsA., A, 22, 83a36-39) 13) Characteristics of series of predications 1. A series of secondary accidental predication cannot go ad infinitum for not even more than two terms can be comnbined. For an accident is not an accident of an accident, unless it be because both are accidents of the same subject. (Met., Γ, 1007b1-4) 2. Infinite series cannot be traversed in thought. (PsA., A, 22, 83b6-7) 3. The predications of genera on each other must be ended and cannot go to infinity because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) Therefore, a series of predication of genera on each other must be limited on both sides. There must be an upward limit in general categories as well as a downward limit in individual because they cannot be predicated of others. Whatever lies between these limits can both be predicated of others and others be predicated of them. (PrA., A, 27, 43a36-43) 4. The order of predicates matters: it makes a difference whether the series be ABC or BAC. (PsA., B, 13, 96b25-32) . (shrink)

Through engagement with key informants and review of ethical theories applicable to refugee policy, this paper examines the ethical and policy considerations that policy-level stakeholders believe should factor into setting the refugee resettlement ceiling. We find that the ceiling traditionally has been influenced by policy goals, underlying values, and practical considerations. These factors map onto several ethical approaches to resettlement. There is significant alignment between U.S. policy interests and ethical obligations toward refugees. We argue that the refugee ceiling (...) class='Hi'>should be restored to historical norms, and that there exists a corresponding obligation to counter negative public perceptions about refugees and the costs of resettlement. (shrink)

In this paper, I defend traditional Platonic mathematical realism from its contemporary detractors, arguing that numbers, understood as abstract, non-physical objects of rational intuition, are indispensable for the act of counting.

The mapping of numbers onto space is fundamental to measurement and to mathematics. Is this mapping a cultural invention or a universal intuition shared by all humans regardless of culture and education? We probed number-space mappings in the Mundurucu, an Amazonian indigene group with a reduced numerical lexicon and little or no formal education. At all ages, the Mundurucu mapped symbolic and nonsymbolic numbers onto a logarithmic scale, whereas Western adults used linear mapping with small or symbolic (...) class='Hi'>numbers and logarithmic mapping when numbers were presented nonsymbolically under conditions that discouraged counting. This indicates that the mapping of numbers onto space is a universal intuition and that this initial intuition of number is logarithmic. The concept of a linear number line appears to be a cultural invention that fails to develop in the absence of formal education. (shrink)

The Complaint Model is an interpretation of Scanlon’s contractualism which holds that (1) an individual can reasonably reject a distribution of well-being when her complaint against that distribution is larger than any other person’s complaint against any other distribution. The Complaint Model further holds that (2) the size of an individual’s complaint against a distribution is a function of (2a) her absolute level of well-being under that distribution, with the size of her complaint increasing as her absolute level of well-being (...) decreases, and (2b) the size of her loss in well-being under that distribution relative to the level of well-being she could have enjoyed under the distribution most favourable to her, with the size of her complaint increasing as her loss increases. In this paper, I argue that the Complaint Model should be rejected, because the way in which it takes individuals’ losses into account leads to strongly counterintuitive results. In particular, I show that the Complaint Model may sacrifice the well-being associated with the least-well-off, secondleast-well-off, etc. positions for the sake of minimizing the largest complaint. I also argue that revisions to element (1) to allow for the aggregation of complaints must either leave the Complaint Model vulnerable to this objection or lead it to collapse into prioritarianism. The failure of the Complaint Model may lead us to search for an alternative way of taking losses into account. I conclude by arguing that the attractiveness of the Anonymous Pareto principle poses a challenge to any such alternative. (shrink)

You ought to save a larger group of people rather than a distinct smaller group of people, all else equal. A consequentialist may say that you ought to do so because this produces the most good. If a non-consequentialist rejects this explanation, what alternative can he or she give? This essay defends the following explanation, as a solution to the so-called numbers problem. Its two parts can be roughly summarised as follows. First, you are morally required to want the (...) survival of each stranger for its own sake. Secondly, you are rationally required to achieve as many of these ends as possible, if you have these ends. (shrink)

The psychology of reasoning uses norms to categorize responses to reasoning tasks as correct or incorrect in order to interpret the responses and compare them across reasoning tasks. This raises the arbitration problem: any number of norms can be used to evaluate the responses to any reasoning task and there doesn’t seem to be a principled way to arbitrate among them. Elqayam and Evans have argued that this problem is insoluble, so they call for the psychology of reasoning to dispense (...) with norms entirely. Alternatively, Stupple and Ball have argued that norms must be used, but the arbitration problem should be solved by favouring norms that are sensitive to the context, constraints, and goals of human reasoning. In this paper, I argue that the design of reasoning tasks requires the selection of norms that are indifferent to the factors that influence human responses to the tasks—which aren’t knowable during the task design phase, before the task has been given to human subjects. Moreover, I argue that the arbitration problem is easily dissolved: any well-designed task will contain instructions that implicitly or explicitly specify a single determinate norm, which specifies what would count as a solution to the task—independently of the context, constraints, and goals of human reasoning. Finally, I argue that discouraging the use of these a priori task norms may impair the design of novel reasoning tasks. (shrink)

Categorical logic has shown that modern logic is essentially the logic of subsets (or "subobjects"). Partitions are dual to subsets so there is a dual logic of partitions where a "distinction" [an ordered pair of distinct elements (u,u′) from the universe U ] is dual to an "element". An element being in a subset is analogous to a partition π on U making a distinction, i.e., if u and u′ were in different blocks of π. Subset logic leads to finite (...) probability theory by taking the (Laplacian) probability as the normalized size of each subset-event of a finite universe. The analogous step in the logic of partitions is to assign to a partition the number of distinctions made by a partition normalized by the total number of ordered pairs |U|² from the finite universe. That yields a notion of "logical entropy" for partitions and a "logical information theory." The logical theory directly counts the (normalized) number of distinctions in a partition while Shannon's theory gives the average number of binary partitions needed to make those same distinctions. Thus the logical theory is seen as providing a conceptual underpinning for Shannon's theory based on the logical notion of "distinctions.". (shrink)

After 50 years of debate, the ethics of aggregation has reached a curious stalemate, with both sides arguing that only their theory treats people as equals. I argue that, on the issue of equality, both sides are wrong. From the premise that “each counts for one,” we cannot derive the conclusion that “more count for more” or its negation. The familiar arguments from equality to aggregation presuppose more than equality: the Kamm/Scanlon “Balancing Argument” rests on what social choice theorists (...) call “(Positive) Responsiveness,” Kamm’s “Aggregation Argument” assumes that “equal” lives are fungible, and Hsieh et al. have it that spreading goods broadly best approximates equality. In each case, the crucial premise is not equality itself but a further idea that Taurek, I argue, can safely reject. I conclude with a conjecture: there is no theory-neutral argument that settles the question of whether the numbers count. (shrink)

I identify and resolve an internal tension in Critical Contextual Empiricism (CCE) – the normative account of science developed by Helen Longino. CCE includes two seemingly conflicting principles: on one hand, the cognitive goals of epistemic communities should be open to critical discussion (the openness of goals to criticism principle, OGC); on the other hand, criticism must be aligned with the cognitive goals of that community to count as “relevant” and thus require a response (the goal-relativity of response-requiring (...) criticism principle, GRC). The co-existence of OGC and GRC enables one to draw both approving and condemning judgments about a situation in which an epistemic community ignores criticism against its goals. This tension results from conflating two contexts of argumentation that require different regulative standards. In the first-level scientific discussion, GRC is a reasonable principle but OGC is not; in the meta-level discussion about science, the reverse holds. In meta-level discussion, the relevance of criticism can be established by appealing to goals of science that are more general than the goals of a specific epistemic community. To illustrate my revision of CCE, I discuss why feminist economists’ criticism of the narrowness of the goals pursued in mainstream economics is relevant criticism. (shrink)

The boundless nature of the natural numbers imposes paradoxically a high formal bound to the use of standard artificial computer programs for solving conceptually challenged problems in number theory. In the context of the new cognitive foundations for mathematics' and physics' program immersed in the setting of artificial mathematical intelligence, we proposed a refined numerical system, called the physical numbers, preserving most of the essential intuitions of the natural numbers. Even more, this new numerical structure additionally possesses (...) the property of being a bounded object allowing us to work with quite similar axioms like the classic Peano axioms, but in a finite environment and with an enriched physical dimension. Finally, we present several enlightening examples and we conclude that the physical numbers provide a natural formal setting for approaching classic problems in number theory from a more hybrid perspective, i.e. with a potential participation in the generation of solutions, not only of working mathematicians but also of more sophisticated artificial interactive (mathematical) intelligent agents (within the context of cognitive-computational metamathematics or artificial mathematical intelligence) and more controlled by physically-inspired principles. Finally, this paper addresses a highly new, bottom-up and paradigm-shifting approach to the foundations of physics: One should refine and improve the conceptual formal setting of the language that we use for understanding physical phenomena (e.g. the mathematical grounding concepts and theories) for being able to understand better more subtle and complex physical phenomena. (shrink)

The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence (...) that these ratio-dependent ratio discriminations are (a) based on the perceived number of items in seen displays (and not just non-numerical confounds), (b) are not dependent on verbal working memory, or explicit counting routines, and (c) involve representations with a part-whole (or subset-superset) format, like a fraction, rather than a part-part format, like a ratio. These results vindicate key predictions of the hypothesis that the ANS represents rational numbers. (shrink)

The elimination of gatekeepers for scientific publication has been represented as a means to promote the core moral values of open science, including democratic decision-making and inclusiveness. I argue that this framing ignores the reality that gatekeeping is a way of structuring prestige hierarchies, and that without gatekeeping, some other structuring would be needed: the flattening of prestige hierarchies is not possible given scientists’ need to navigate information overload. I consider two potential restructurings of prestige hierarchies, one based on citation (...) count and the other on search algorithm rank. These are shown to simply reintroduce status biases and hierarchies in ways that either do not further the open science ideals of democracy and inclusiveness, or else involve some de facto gatekeeping. Gatekeeper elimination should not be thought of as an intrinsic part of the open science movement. In fact, insofar as gatekeeping is guided by professional ideals of impartiality and diligence, it can be thought of as an ally of open science values. (shrink)

Estimates of the burden of disease assess the mortality and morbidity that affect a population by producing summary measures of health such as quality-adjusted life years and disability-adjusted life years. These measures typically do not include stillbirths among the negative health outcomes they count. Priority-setting decisions that rely on these measures are therefore likely to place little value on preventing the more than three million stillbirths that occur annually worldwide. In contrast, neonatal deaths, which occur in comparable numbers, (...) have a substantial impact on burden of disease estimates and are commonly seen as a pressing health concern. In this article we argue in favor of incorporating unintended fetal deaths that occur late in pregnancy into estimates of the burden of disease. Our argument is based on the similarity between late-term fetuses and newborn infants and the assumption that protecting newborns is important. We respond to four objections to counting stillbirths: that fetuses are not yet part of the population and so their deaths should not be included in measures of population health; that valuing the prevention of stillbirths will undermine women's reproductive rights; that including stillbirths implies that miscarriages should also be included; and that birth itself is in fact ethically significant. We conclude that our proposal is ethically preferable to current practice and, if adopted, is likely to lead to improved decisions about health spending. (shrink)

When one faces competing claims of varying strength on public resources for health, which claims count? This paper proposes the following answer. One should count, or aggregate, a person’s claim just in case one could sympathize with her desire to prioritize her own claim over the strongest competing claim. It argues that this principle yields appealing case judgments and has a plausible grounding in both sympathetic identification with each person, taken separately, and respect for the person for (...) whom most is at stake. It also defends this principle against several heretofore unanswered objections. (shrink)

Berry, Daniels, and Ladin make a strong argument for discontinuing the use of, “lack of social support,” as an organ transplantation listing criterion. This argument, however, actually leads to conclusions much stronger than those that the authors’ propose: The argument works equally well against using, (1) any “psychosocial” factors at all as a listing criterion, and, (2) any criteria other than factors that directly relate to empirically established medical need, and/or empirically established survival rate. Moreover, while the authors rightly point (...) to a lack of empirical evidence connecting social support to survivability, they neglect mentioning that the empirical literature on social support provides grounds to favor listing persons who seem to, sadly, lack a social support system. (shrink)

There are a number of different senses of the term “evil.” We examine in this paper the term “evil” when it is used to say things such as: “what Hitler did was not merely wrong, it was evil”, and “Hitler was not merely a bad person, he was an evil person”. Failing to keep a promise or telling a white lie may be morally wrong, but unlike genocide or sadistic torture, it is not evil in this sense. In this paper (...) we analyze the specific moral difference between “evil” and “mere wrongdoing”. In so doing we shall defend a specific conception of what acts and which persons should count as evil. On the view defended in this paper it is a necessary feature of an evil act that the victim of that act suffer what would at least normally be a life-wrecking or life-ending harm. (shrink)

The idea the New Zealand Māori once counted by elevens has been viewed as a cultural misunderstanding originating with a mid-nineteenth-century dictionary of their language. Yet this “remarkable singularity” had an earlier, Continental origin, the details of which have been lost over a century of transmission in the literature. The affair is traced to a pair of scientific explorers, René-Primevère Lesson and Jules Poret de Blosseville, as reconstructed through their publications on the 1822–1825 circumnavigational voyage of the Coquille, a French (...) corvette. Possible explanations for the affair are briefly examined, including whether it might have been a prank by the Polynesians or a misunderstanding or hoax on the part of the Europeans. Reasons why the idea of counting by elevens remains topical are discussed. First, its very oddity has obscured the counting method actually used—setting aside every tenth item as a tally. This “ephemeral abacus” is examined for its physical and mental efficiencies and its potential to explain aspects of numerical structure and vocabulary (e.g., Mangarevan binary counting; the Hawaiian number word for twenty, iwakalua), matters suggesting material forms have a critical if underappreciated role in realising concepts like exponential value. Second, it provides insight into why it can be difficult to appreciate highly elaborated but unwritten numbers like those found throughout Polynesia. Finally, the affair illuminates the difficulty of categorising number systems that use multiple units as the basis of enumeration, like Polynesian pair-counting; potential solutions are offered. (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)