This paper explores the influence of social categories on the perceived trade-off between a relatively bad but equal distribution of resources between two parties and a profit maximizing yet unequal one. Studies 1 and 2 showed that people prefer to maximize profits when interacting within their social category, but chose not to maximize individual and joint profits when interacting across social categories. Study 3 demonstrated that outside observers, who were not members of the focal social categories, also were less (...) likely to maximize profits when resources were distributed across social category lines. Study 4 showed that the transaction utility of maximizing profits required greater compensation when resources were distributed across, in contrast to within social categories. We discuss the ethical implications of these decision making biases in the context of organizations. (shrink)

This paper explores the influence of social categories on the perceived trade-off between a relatively bad but equal distribution of resources between two parties and a profit maximizing yet unequal one. Studies 1 and 2 showed that people prefer to maximize profits when interacting within their social category, but chose not to maximize individual and joint profits when interacting across social categories. Study 3 demonstrated that outside observers, who were not members of the focal social categories, also were less (...) likely to maximize profits when resources were distributed across social category lines. Study 4 showed that the transaction utility of maximizing profits required greater compensation when resources were distributed across, in contrast to within social categories. We discuss the ethical implications of these decision making biases in the context of organizations. (shrink)

The concept of an ontological category is central to metaphysics. Metaphysicians argue about which category of existence an object should be assigned to, whether one category can be reduced to another one, or whether there might be different equally adequate systems of categorization. Answers to these questions presuppose a clear understanding of what precisely an ontological category is, and Jan Westerhoff now provides the first in-depth analysis. After examining a variety of attempted definitions, he proceeds to (...) argue for a new understanding of ontological categories, according to which they are systematizations of our knowledge of the world rather than essential characteristics of the world itself. Metaphysicians will find his work highly stimulating. (shrink)

This paper is about equality of proofs in which a binary predicate formalizing properties of equality occurs, besides conjunction and the constant true proposition. The properties of equality in question are those of a preordering relation, those of an equivalence relation, and other properties appropriate for an equality relation in linear logic. The guiding idea is that equality of proofs is induced by coherence, understood as the existence of a faithful functor from a syntactical (...) class='Hi'>category into a category whose arrows correspond to diagrams. Edges in these diagrams join occurrences of variables that must remain the same in every generalization of the proof. It is found that assumptions about equality of proofs for equality are parallel to standard assumptions about equality of arrows in categories. They reproduce standard categorial assumptions on a different level. It is also found that assumptions for a preordering relation involve an adjoint situation. (shrink)

British equality law protections for sex and gender reassignment have grown fraught as activists tussle over legal and social categories of gender, gender transitioning, and sex. This article considers the future of gender-related equality protections in relation to ‘decertification’—an imagined reform that would detach sex and gender from legal personhood. One criticism of decertification is that de-formalising gender membership would undermine equality law protections. This article explores how gender-based equality law could operate in conditions of decertification, (...) drawing on legal thoughtways developed for two other protected characteristics in equality law—religion and belief, and disability—to explore the legal responses and imaginaries that these two grounds make available. Religious equality law focuses on beliefs, communities, and practices, deemed to be stable, multivarious, and subject to deep personal commitment. Disability equality law focuses on embodied disadvantage, approached as social, relational, and fluctuating. While these two equality frameworks have considerable limitations, they offer legal thoughtways for gender oriented to both its hierarchies and its expression, including as disavowal. (shrink)

The concept of an ontological category is central to metaphysics. Metaphysicians argue about which category an object should be assigned to, whether one category can be reduced to another one, or whether there might be different equally adequate systems of categorization. Answers to these questions presuppose a clear understanding of what precisely an ontological category is, an issue which is rarely addressed; Jan Westerhoff presents the first in-depth analysis both of the use made of ontological categories (...) in the metaphysical literature, and of various attempts at defining them. He also develops a new theory of ontological categories which implies that there will be no unique system, and that the ontological category an object belongs to is not an essential property of that object. Systems of ontological categories are structures imposed on the world, rather than reflections of a deep metaphysical reality already present. All metaphysicians should find Westerhoff's book highly stimulating. (shrink)

Within the context of an involutive monoidal category the notion of a comparison relation ${\mathsf{cp} : \overline{X} \otimes X \rightarrow \Omega}$ is identified. Instances are equality = on sets, inequality ${\leq}$ on posets, orthogonality ${\perp}$ on orthomodular lattices, non-empty intersection on powersets, and inner product ${\langle {-}|{-} \rangle}$ on vector or Hilbert spaces. Associated with a collection of such (symmetric) comparison relations a dagger category is defined with “tame” relations as morphisms. Examples include familiar categories in the (...) foundations of quantum mechanics, such as sets with partial injections, or with locally bifinite relations, or with formal distributions between them, or Hilbert spaces with bounded (continuous) linear maps. Of one particular example of such a dagger category of tame relations, involving sets and bifinite multirelations between them, the categorical structure is investigated in some detail. It turns out to involve symmetric monoidal dagger structure, with biproducts, and dagger kernels. This category may form an appropriate universe for discrete quantum computations, just like Hilbert spaces form a universe for continuous computation. (shrink)

Many of the problems studied in cognitive science are inductive problems, requiring people to evaluate hypotheses in the light of data. The key to solving these problems successfully is having the right inductive biases—assumptions about the world that make it possible to choose between hypotheses that are equally consistent with the observed data. This article explores a novel experimental method for identifying the biases that guide human inductive inferences. The idea behind this method is simple: This article uses the responses (...) produced by a participant on one trial to generate the stimuli that either they or another participant will see on the next. A formal analysis of this “iterated learning” procedure, based on the assumption that the learners are Bayesian agents, predicts that it should reveal the inductive biases of these learners, as expressed in a prior probability distribution over hypotheses. This article presents a series of experiments using stimuli based on a well-studied set of category structures, demonstrating that iterated learning can be used to reveal the inductive biases of human learners. (shrink)

In this essay, I challenge Charles Mills’s use of the category of moral personhood for advancing a robust anti-racist political critique in nonideal circumstances. I argue that the idea of the moral equality of persons is necessary but insufficient for reparative justice. I enrich the normative basis of political critique to include: (1) a clarification of what the public recognition of moral personhood can legitimately entail as a requirement of justice enforceable by the state, especially with respect to (...) economic reforms that advance equal opportunity and (2) a conception of non-alienated labor that assails identity-based occupational segregation in the labor market. These additional components do not exhaust the plausible bases for political critique, but enrich it in a way that the idea of moral equality alone cannot. (shrink)

Kierkegaard's "Works of Love" provocatively presses for a reconsideration of impartiality, partiality, and equality. Past readings of this text have typically (1) criticized its focus on the abstract category of "human being," ignoring its attention to distinctiveness and difference; (2) defended it from the charge of abstraction by accenting its treatment of distinctiveness and difference, playing down its assumptions about the "essentially" human; (3) acknowledged its emphases on both essence and difference, arguing that they are incompatible and irreconcilable; (...) or (4) acknowledged both emphases, assuming they are compatible without exploring or accounting for the apparent incompatibility. As a means of resolving this seeming inconsistency, I will focus on Kierkegaard's recommendation of moral blindness and its implications for moral vision, and I will argue that "Works of Love" contains resources for an understanding of impartiality that allows moral attention to concrete difference. (shrink)

This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. (...) Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method. (shrink)

Equality in Difference: Hierarchical Multiculturalism and Membership Illusions Content Type Journal Article Category Book Review Pages 489-494 DOI 10.1007/s10746-011-9193-x Authors Ella Schmidt, Department of Anthropology, Criminology, and Interdisciplinary Social Sciences, University of South Florida-St. Petersburg, St. Petersburg, FL, USA Journal Human Studies Online ISSN 1572-851X Print ISSN 0163-8548 Journal Volume Volume 34 Journal Issue Volume 34, Number 4.

Embodied cognitive theories predict that linguistic conceptual representations are grounded and continually represented in real world, sensorimotor experiences. However, there is an on-going debate on whether this also holds for abstract concepts. Grammar is the archetype of abstract knowledge, and therefore constitutes a test case against embodied theories of language representation. Former studies have largely focussed on lexical-level embodied representations. In the present study we take the grounding-by-modality idea a step further by using reaction time (RT) data from the linguistic (...) processing of nominal classifiers in Chinese. We take advantage of an independent body of research, which shows that attention in hand space is biased. Specifically, objects near the hand consistently yield shorter RTs as a function of readiness for action on graspable objects within reaching space, and the same biased attention inhibits attentional disengagement. We predicted that this attention bias would equally apply to the graspable object classifier but not to the big object classifier. Chinese speakers (N = 22) judged grammatical congruency of classifier-noun combinations in two conditions: graspable object classifier and big object classifier. We found that RTs for the graspable object classifier were significantly faster in congruent combinations, and significantly slower in incongruent combinations, than the big object classifier. There was no main effect on grammatical violations, but rather an interaction effect of classifier type. Thus, we demonstrate here grammatical category- specific effects pertaining to the semantic content and by extension the visual and tactile modality of acquisition underlying the acquisition of these categories. We conclude that abstract grammatical categories are subjected to the same mechanisms as general cognitive and neurophysiological processes and may therefore be grounded. (shrink)

This paper considers the development and judicial application of the Public Sector Equality Duty now found in section 149 Equality Act 2010, previously in a variety of forms in the Race Relations Act 1976, the Disability Discrimination Act 1995 and the Sex Discrimination Act 1975. It identifies a number of emerging themes in the jurisprudence concerned, in particular, with the relationship between the PSED and Wednesbury review, the extent of the information-gathering obligation it imposes, the delegability of PSED (...) decision-making and the timing of PSED challenge. It then considers the uncertainties which remain including, in particular, the application of the duty to various categories of decision-making, and concludes by assessing the impact of the PSED on challenges to ‘cuts’ cases arising from the reductions to public sector funding, and on domestic equality jurisprudence. (shrink)

Recent debate by feminist scholars in philosophy of sport has been focused on the status of women’s sport as a protected category. Positions have varied significantly, from no need for a protected category anymore—to allow women’s sport to flourish and to give them a fair opportunity, given that men’s sport still dominates, just as it has in the past.It will be argued that: i) the concept of a ‘protected category’ is tied logically to the concept of fair (...) play and has been defined and enforced through the rules in sport and generally requires some kind of certification for inclusion. These specific rules will be analyzed in detail. Having separate women’s events means that logically it must be possible to exclude, and exclusion is not a popular stance as many have argued that the onus is on inclusion from a human rights perspective. Thus, sport policy makers are truly in an intractable position. On the one hand, no qualifying athlete should have to ‘dope down’ (or ‘dope up’) to compete in the Olympic Games. On the other hand, women athletes have argued that sex equality in competitive sport is a legitimate goal and that separating athletes in competition by biological sex traits is the only way to achieve this goal. It seems criminal to ask athletes to ‘dope down’ to be able to compete in the Olympic Games, however, although a new auxiliary rule creating new sub-classification of women athletes with testosterone higher than the stipulated cut off seems logical on the face of it, these cases are statistically rare. It is concluded that the community of women athletes should have the most significant voice, as historically, the criteria for the women’s sport-protected category have been predominantly determined by men. That is not to say that men’s voices, or voices outside of the women’s sports community of practitioners, cannot be heard, but they should not be the deciding factor. (shrink)

The aim of this paper is two-fold: (1) To contribute to a better knowledge of the method of the Argentinean mathematicians Lia Oubifia and Jorge Bosch to formulate category theory independently of set theory. This method suggests a new ontology of mathematical objects, and has a profound philosophical significance (the underlying logic of the resulting category theory is classical iirst—order predicate calculus with equality). (2) To show in outline how the Oubina-Bosch theory can be modified to give (...) rise to a strong paraconsistent category theory; strong enough to be taken as the basis for a paraconsistent mathematics which encompasses all classical mathematical results. (shrink)

Proponents of children's liberation (CL) argue that there are no morally relevant differences between children and adults. Consequently, special protective laws that limit children's freedom are unjustified, and should be abolished. Protectionists reject the premise of this argument, and hence also the conclusion. Proponents of CL mostly fix upon the capacity for instrumental reasoning as the criterion that should separate autonomous from non-autonomous individuals. I argue that most children are substantially worse at instrumental reasoning than most adults, and although drawing (...) a line between the two categories has an arbitrary element, outstanding exceptions on both sides can be justly accommodated. Furthermore, the capacity for instrumental reasoning is a necessary but not sufficient basis for equal rights. A morally decent society is more demanding of individuals than the skeptical or libertarian one that most plausibly grounds CL. To construct and live in such a society requires both prudence and morality. But there is evidence that children need protection and limits to develop these traits. So there are morally relevant differences between children and adults after all, and the argument from justice fails. The utilitarian arm of the argument also fails: because of these morally relevant differences, CL would have worse consequences than those envisioned by its supporters. Parents would lose important authority, and there would be more homeless children. Consequently, the gap between advantaged and disadvantaged persons would become larger and more irreversible. (shrink)

Virtue ethics is standardly taught and discussed as a distinctive approach to the major questions of ethics, a third major position alongside Utilitarian and Kantian ethics. I argue that this taxonomy is a confusion. Both Utilitarianism and Kantianism contain treatments of virtue, so virtue ethics cannot possibly be a separate approach contrasted with those approaches. There are, to be sure, quite a few contemporary philosophical writers about virtue who are neither Utilitarians nor Kantians; many of these find inspiration in ancient (...) Greek theories of virtue. But even here there is little unity. Although certain concerns do unite this disparate group (a concern for the role of motives and passions in good choice, a concern for character, and a concern for the whole course of an agent''s life), there are equally profound disagreements, especially concerning the role that reason should play in ethics. One group of modern virtue-theorists, I argue, are primarily anti-Utilitarians, concerned with the plurality of value and the susceptibility of passions to social cultivation. These theorists want to enlarge the place of reason in ethics. They hold that reason can deliberate about ends as well as means, and that reason can modify the passions themselves. Another group of virtue theorists are primarily anti-Kantians. They believe that reason plays too dominant a role in most philosophical accounts of ethics, and that a larger place should be given to sentiments and passions -- which they typically construe in a less reason-based way than does the first group. The paper investigates these differences, concluding that it is not helpful to speak of virtue ethics, and that we would be better off characterizing the substantive views of each thinker -- and then figuring out what we ourselves want to say. (shrink)

Now one of the aims of this treatise is to show that values are an essential factor in reality, and how therefore their most general traits are reflections of the pervasive characters of all being, so far as known to us. We shall not neglect the fine, individual nuances of values, but equally we shall try to reveal how they lie embedded in a more inclusive matrix. It will be the special topic of this chapter to establish and describe this (...) matrix. In doing this, we shall be pursuing what may well be called a metaphysic or ontology of values. (shrink)

The focus here is the question of the moral status of viable human embryos for the first few days of their existence. More precisely, my focus is the human embryo from its conception, through its becoming a mass of undifferentiated cells, to its first differentiation when the initial stem cell mass appears. Naturally, this would occur in the first week of the embryo’s existence, whether in vitro (in a laboratory) or in vivo (in the uterine tubes or uterus). With cryogenics, (...) the process can be frozen at any stage. In this essay, I identify four categories of human embryos and argue that differences between these categories support the view that embryos are not all equal in terms of their moral status, which, in turn, supports the legitimacy of some medical and research procedures that put embryos at risk. (shrink)

The focus here is the question of the moral status of viable human embryos for the first few days of their existence. More precisely, my focus is the human embryo from its conception, through its becoming a mass of undifferentiated cells, to its first differentiation when the initial stem cell mass appears. Naturally, this would occur in the first week of the embryo’s existence, whether in vitro or in vivo. With cryogenics, the process can be frozen at any stage. In (...) this essay, I identify four categories of human embryos and argue that differences between these categories support the view that embryos are not all equal in terms of their moral status, which, in turn, supports the legitimacy of some medical and research procedures that put embryos at risk. (shrink)

We argue that the concepts of `human equality' and `inequality' play an important role in the structure of science and philosophy. When the value of `human inequality' predominates, scientific categories are formed in accordance with the principle of `hierarchical differentiation' and concepts remain closely tied to the objects they are referring to. Following Mirowski we define this as the `anthropometric stage' of human thought and development. Contrary, Mirowski's `syndetic stage' refers to societies where the value of `human equality' (...) prevails. Here concepts appear that are universally applicable. However, because of their conventional nature these concepts cannot be `grasped' any longer by human intuition. Between the `anthropometric' and `syndetic' stages, a `lineamentric stage' appears, a period of transition from `human equality' to `human inequality'. Being both a bridge and gap between the two other stages, the `lineamentric' stage contains many contradictions between an `abstract attitude' and `concrete categories'. In this paper we examine the anthropometric, lineamentric and syndetic stages and discuss several examples taken from philosophy, logic, mathematics and physics. (shrink)

This article is devoted to examining the ontological foundations of computer-generated music scores. Specifically, we focus on the categorial question, i.e., the inquiry that aims to determine the kind of ontological category that musical works belong to. This task involves considerations concerning the existence and persistence conditions for musical works, and it has consequences for the determination of what it is to compose a musical work. Our contention is that not all the possible answers to the categorial question in (...) the ontology of music are equally compatible with the hypothesis that creative music systems compose musical works. The thesis defended here is that musical Platonism is the proposal that best accommodates this hypothesis. We claim that musical Platonism is the answer to the categorial question that offers the most straightforward explanation for the possibility of considering creative music systems as genuinely composing musical works. Moreover, we uphold that the notion of creative-evaluative discovery as the characterization of what it is to compose a musical work entailed by Platonism is the simplest explanation of the process developed by a computer in producing musical works. For this purpose, we will take as empirical data the features of the Iamus computer, a system that produces musical works autonomously using evolutionary algorithms and following an evo-devo strategy. The works generated by this computer have been recorded by the London Symphony Orchestra and other renowned international soloists, and its impact has been notable in the literature (Ball, 2012; Coghlan, 2012; Berger, 2013). (shrink)

The concept of tolerance is one of the basic ethical categories of Buddhism. Showing conscious tolerance, you control a situation and do not allow feelings, such as anger or arrogance to take top above reason. Besides, the tolerance to other people and different situation shows your wide scope and common emancipation. The tolerance is one of qualities inherent to bodhisattvas - sacred Buddhists. These qualities are called paramita, and paramita of tolerance - kshanti-paramita. Kshanti-paramita is triple: tolerance to other alive (...) beings, tolerance to vital circumstances and tolerance coming with wisdom and penetration into essence of things and the phenomena. The man practicing tolerance, sympathizes with living creatures, understands their problems, mental condition and level of consciousness development. He can understand the true reasons of their behaviour. Buddhist tolerance is based on respect of other alive essences, by their potentially and permanently actualized trueness. Concept of tolerance propagates equality and peaceful coexistence of various essences. The tolerance in relation to vital circumstances helps the man to keep positive mood without dependence from modus of possession and external conditions. In this sense thespiritual sermons are very important drawing attention of a man to values of the internal world, his unity with the universe. (shrink)

When formalizing mathematics in constructive type theories, or more practically in proof assistants such as Coq or Agda, one is often using setoids. In this note we consider two categories of setoids with equality on objects and show, within intensional Martin-Löf type theory, that they are isomorphic. Both categories are constructed from a fixed proof-irrelevant family F of setoids. The objects of the categories form the index setoid I of the family, whereas the definition of arrows differs. The first (...) category has for arrows triples →F)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\,\rightarrow \,F)$$\end{document} where f is an extensional function. Two such arrows are identified if appropriate composition with transportation maps makes them equal. In the second category the arrows are triples 2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^2)$$\end{document} where R is a total functional relation between the subobjects F,F↪Σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F, F \hookrightarrow \Sigma $$\end{document} of the setoid sum of the family. This category is simpler to use as the transportation maps disappear. Moreover we also show that the full image of a category along an E-functor into an E-category is a category. (shrink)

Alan gewirth has argued that the fanatical defender of discriminatory moral principles can be convicted of inconsistency by appeal to the principle of categorial consistency (pcc). The pcc requires that equal weight be given to everyone's possession of the categorial features of action, I.E., The capacity to act voluntarily and the capacity to act purposively. In reply, I argue that, Contrary to gewirth, It has not been shown either that the fanatic is committed to the pcc or that the pcc (...) is a presupposition of rational moral evaluation. (shrink)

I was not impressed by Dr Geggie's article offering a survey of the attitudes of newly appointed consultants towards research fraud ( Journal of Medical Ethics 2001; 27 :344–6). Indeed, by mixing up categories of misconduct from what is at most “bad behaviour” to the very serious, he is not entirely beyond reproach himself. I remind readers that Dr Geggie suggested that 55.7% of the respondents had observed (from the title) “research fraud”. If the term “research fraud” is to have (...) any meaning, it must be reserved for conduct that consciously and deliberately attempts to impose a fraud on others. The US National Academy of Sciences' report, On Being a Scientist: Responsible Conduct in Research distinguishes clearly between “misallocation of credit, honest errors, and errors caused through negligence” and “deception, making up data or results, changing or misreporting data or results, and plagiarism”. The former are “ethical transgressions... that generally remain internal to the scientific community... dealt with locally through peer review, administrative action, and the system of appointments and evaluations”. The latter “strike at the heart of the values on which science is based”. The White House's Office of Science and Technology Policy reached similar conclusions, restricting research misconduct to “fabrication, falsification and plagarism”. I agree with these assessments. In Dr Geggie's paper, deception would include deliberate falsification of data (category 3 of Dr Geggie's table 1), cheating (4A) and deliberately plagiarising …. (shrink)

BackgroundClinical trials should be as inclusive as possible to facilitate equitable access to research and better reflect the population towards which any intervention is aimed. Informed by the UK’s National Institute for Health and Care Research (NIHR) Innovations in Clinical Trial Design and Delivery for the Under-served (INCLUDE) guidance, we audited oncology trials conducted by the Clinical Trials and Statistics Unit at The Institute of Cancer Research, London (ICR-CTSU) to identify whether essential documents were overtly excluding any groups and whether (...) sufficient data were collected to assess diversity of trial participants from groups suggested by INCLUDE as under-served by research in the UK.MethodsThirty cancer clinical trials managed by ICR-CTSU and approved between 2011–2021 were audited. The first ethics approved version of each trial’s protocol, patient information sheet, and patient completed questionnaire, together with the first case report forms (CRFs) version were reviewed. A range of items aligned with the INCLUDE under-served groups were assessed, including age, sex and gender, socio-economic and health factors. The scope did not cover trial processes in participating hospitals.ResultsData relating to participants’ age, ethnic group and health status were well collected and no upper age limit was specified in any trials’ eligibility criteria. 23/30 (77%) information sheets used at least one gendered term to address patients. Most CRFs did not specify whether they were collecting sex or gender and only included male or female categories. The median reading age for information sheets was 15–16 years (IQR: 14–15 – 16–17). Socio-economic factors were not routinely collected and not commonly mentioned in trial protocols.ConclusionsNo systemic issues were identified in protocols which would explicitly prevent any under-served group from participating. Areas for improvement include reducing use of gendered words and improving readability of patient information. The challenge of fully assessing adequate inclusion of under-served populations remains, as socio-economic factors are not routinely collected because they fall beyond the data generally required for protocol-specified trial endpoint assessments. This audit has highlighted the need to agree and standardise demographic data collection to permit adequate monitoring of the under-served groups identified by the NIHR. (shrink)

The purpose of this work is to bring the legal status of third-country citizens closer to that of member states, as a different special regime according to the relative agreements concluded for certain categories of foreigners without disregarding the value of some elements of fact, such as residence, family ties, performance of specific economic activities or interests of international politics for respect of these obligations, with the not always uniform content that the union evidently had to entrust to member states (...) a union of intent through “supervision" as well as the interpretation carried out by The Court of Justice of the European Union which has strongly reduced state's competences aiming at a European integration still in progress and especially after Brexit. (shrink)

In this paper, I demonstrate that the category of Schein in Hegel’s Science of Logic expresses the structure of ideology in general, and specifically the ideology of equality and freedom in capitalism. To this aim, I motivate Marx’s mature critique of political economy in Capital and the Grundrisse. I argue that while the semblance of equality is false and misleading, it is constitutive of the essence of capitalism. This implies that domination in capitalism does not exclude (...) class='Hi'>equality, but requires it. In particular, I argue that the structure of domination generates equality as its own necessary moment. The paper shows, on the one hand, how a close study of Hegel’s Logic is helpful for understanding the structure of capitalism, and on the other hand, how reading Hegel’s Logic through Marx can help in unveiling its social import. (shrink)

Men, it is sometimes alleged, deserve more prize money than women for winning tennis Grand Slams such as Wimbledon because they are required to play more tennis than women. Such an argument has two flaws. First, it is empirically unsound: the nature of tennis means women can and often do play more tennis than men; and second, the argument rests on a category mistake by confusing prize money with financial remuneration. Moreover, the focus on prize money neglects more fundamental (...) issues of sexual inequality, in particular, why women do not face the same challenges as men at the Grand Slams. (shrink)

Can we be realists about a general category but pluralists about concepts relating to that category? I argue that paleobiological methods of delineating species are not affected by differing species concepts, and that this underwrites an argument that species concept pluralists should be species category realists. First, the criteria by which paleobiologists delineate species are ‘indifferent’ to the species category. That is, their method for identifying species applies equally to any species concept. To identify a new (...) species, paleobiologists show that interspecies processes, such as phenotypic plasticity, sexual dimorphism, or ontogenetic diversity, are a worse explanation of the variance between specimens than intraspecies processes. As opposed to operating under a single or plurality of species concepts, then, paleobiologists use abductive inferences, which would be required regardless of any particular species concept. Second, paleobiologists are frequently interested in large-scale, long-term morphological patterns in the fossil record, and resolving the fine-grained differences which result from different species concepts is irrelevant at those scales. I argue that this claim about paleobiological practice supports what I call ‘indifference realism’ about the species category. The indifference realist argues that when legitimate investigation is indifferent to a plurality of concepts, we should be realists about the category those concepts pertain to. (shrink)

This chapter contains sections titled: Out of Order The Axiom of Equality Ignorant Schoolmasters Political Aesthetics Democratic Education References.

The focus here is the question of the moral status of viable human embryos for the first few days of their existence. More precisely, my focus is the human embryo from its conception, through its becoming a mass of undifferentiated cells, to its first differentiation when the initial stem cell mass appears. Naturally, this would occur in the first week of the embryo’s existence, whether in vitro (in a laboratory) or in vivo (in the uterine tubes or uterus). With cryogenics, (...) the process can be frozen at any stage. In this essay, I identify four categories of human embryos and argue that differences between these categories support the view that embryos are not all equal in terms of their moral status, which, in turn, supports the legitimacy of some medical and research procedures that put embryos at risk. (shrink)

Reinhart Koselleck is an important thinker in part for his attempt to interpret the cultural changes resulting in our modern cultural outlook in terms of the historical categories of experience and expectation. In so doing he tried to pay equal attention to the static and the changing in history. This article argues that Koselleck’s use of “experience” and “expectation” confuses their metahistorical and historical meaning, with the result that his account fails to do justice to the static, to continuity in (...) history, and mischaracterizes what is distinctive of the modern era. As well as reconfiguring the categories of experience and expectation, this essay also introduces a third category, namely, imagination, in between experience and expectation. This is done to render intelligible what is obscure in Koselleck’s account, and as a stimulus to a study of history that divides its attention equally between the static and the changing. In fact, it is argued that the category of imagination is pre-eminently the category of history, on the concrete historical as well as the metahistorical level. (shrink)

We introduce the notion of an alphabetic trace of a cut-free intuitionistic prepositional proof and show that it serves to characterize the equality of arrows in cartesian closed categories. We also show that alphabetic traces improve on the notion of the generality of proofs proposed in the literature. The main theorem of the paper yields a new and considerably simpler solution of the coherence problem for cartesian closed categories than those in [11, 14].

Race and sex/gender are commonly argued to deserve equal priority with class oppression in egalitarian politics. However, placing race and sex in the same list as what is here termed “standard-of-living class” constitutes a category error. Standard of living, alongside power and status, belongs to a distinctive list of “metrics of hierarchy” that should be accorded priority in an important respect: in the specification of the hierarchies that egalitarians seek ultimately to eliminate or reduce. Race and sex, along with (...) other “differentiators,” matter primarily for the way they are “used” by social arrangements to assign persons to places in hierarchies of living standard, power, and status. Examining policies to promote black capitalism in post-apartheid South Africa, the author shows how the conflation of differentiators and distribution strata is complicit in justifying multiracialized inequality. (shrink)

Cartesian closed categories (CCCs) have played and continue to play an important role in the study of the semantics of programming languages. An axiomatization of the isomorphisms which hold in all Cartesian closed categories discovered independently by Soloviev and Bruce, Di Cosmo and Longo leads to seven equalities. We show that the unification problem for this theory is undecidable, thus settling an open question. We also show that an important subcase, namely unification modulo the linear isomorphisms, is NP-complete. Furthermore, the (...) problem of matching in CCCs is NP-complete when the subject term is irreducible. CCC-matching and unification form the basis for an elegant and practical solution to the problem of retrieving functions from a library indexed by types investigated by Rittri. It also has potential applications to the problem of polymorphic type inference and polymorphic higher-order unification, which in turn is relevant to theorem proving and logic programming. (shrink)

Caster Semenya is done with track and field. At 29, her hopes for a continued career as a professional middle-distance runner are dashed. After her case against International Association for Athletics Federation 1 was dismissed by the Court for Arbitration of Sport on 1 May 2019, she has switched to football later in the year.1 Semenya’s case may have come to its legal conclusion, however it has generated an aporia regarding the binary classification in athletics, which has yet to be (...) solved.2 It is time the implications of the fair equality of opportunity principle as a normative basis for the construction of categories in sport are taken seriously to move forward the debate on unfair advantages in sport. Loland conditionally justifies restricting the women’s category to athletes with testosterone levels below a certain threshold, on the basis of the FEO principle, and of a distinction between stable and dynamic inequalities between athletes. …. (shrink)

John Rawls based his theory of justice, in the work of that name, on a ‘Kantian interpretation’ of the status of human beings as ‘free and equal’ persons. In his subsequent, ‘political rather than metaphysical’ expositions of his theory, the conception of citizens of democracies as ‘free and equal’ persons retained its foundational role. But Rawls appealed only to Kant’s moral philosophy, never to Kant’s own political philosophy as expounded in his 1797 Doctrine of Right in theMetaphysics of Morals. I (...) argue here that the structure of Kant’s political philosophy, with its categories of the innate right to freedom, private acquired right and public right, can clarify the relationship between Rawls’s two principles of justice and his scheme of basic liberties and primary goods. (shrink)

By analyzing discursive equalization of the categories of life and death in different spoken and written genres in the 1990s, the author uncovers a number of ideas and strategies around which the discourses guided by this phenomenon are structured. The first part of the paper is aimed at understanding the relation of these categories in Serbian folk culture and possible influences of the latter on recent articulations of the examined phenomenon. In the second part of the paper the central ideas (...) of the phenomenon are identified. These refer to the survival of the nation, "not betraying the ancestors", and ethnic territorialization. From the analysis of different spoken and written genres the conclusion may be derived that the "cancellation of boundaries" between the extremely opposed categories of life and death is made possible by the following discursive strategies: 1. "non-existification", 2. collective individualization, 3. vitalization, 4. mortification, and 5. various combination of the foregoing strategies.. Analizom diskursivnog izjednacavanja kategorija zivota i smrti u razlicitim govornim i pisanim zanrovima devedesetih godina XX veka, autorka iznalazi krug ideja i strategija oko kojih se struktuiraju diskursi usmereni ovim fenomenom. Prvi deo teksta posvecen je razumevanju odnosa ovih kategorija u srpskoj narodnoj kulturi i eventualnim uticajima ove kulture na novije aktualizovanje fenomena koji tematizuje. U drugom delu teksta identifikovane su nosece ideje ovog fenomena, koje se ticu opstanka nacije, "neizneveravanja predaka" i etnicke teritorijalizacije. Iz analize razlicitih govornih i pisanih zanrova proizlazi daje "ukidanje granica" izmedju ekstremno suprotstavljenih kategorija zivota i smrti omoguceno diskursivnim strategijama: 1. "onepostojanja", 2. kolektivne individualizacije, 3. vitalizacije, 4. mortifikacije i 5. razlicitim kombinacijama ovih strategija.. (shrink)

Driven by the theory of sustainable development, Chinese firms have gradually realized the importance of ESG disclosure. Executives play a core role in ESG decision-making, but whether and how top management team (TMT) faultlines affect ESG disclosure has yet to be systematically discussed. Based on the attention-based view and faultline theory, we select 6456 observations of 910 Chinese A-share listed firms from 2012 to 2021 as the research object to empirically test the above critical practical issues that have not been (...) fully answered. We find that TMT information-based faultlines improve firms' ESG disclosure, but TMT social category faultlines reduce firms' ESG disclosure. In addition, the internal mechanism test showed that the TMT's future-oriented attention plays a mediating role in the above relationship. Finally, we also find that institutional shareholding enhances the positive impact of the TMT's future-oriented attention on ESG disclosure. This study enriches the literature on TMT faultlines and ESG disclosure, demonstrating that the composition of the TMT and its attention allocation are important factors for promoting firms' ESG disclosure. The conclusions of this study can help firms strengthen their ESG disclosure by building efficient TMTs and provide important implications for firms to better fulfill their ESG responsibilities. (shrink)

Nagel' s pessimistic conclusion that current welfare state arrangements approximate to the most pragmatically effective way of reconciling the demands of morality and of an egalitarian liberalism, while not removing a deep seated incoherence between these view, can be resisted. The objective/subjective dichotomy, in this case applied via the agent-neutral/agent-relative distinction, is identified as his problematic assumption: understood in Hegelian terms as the "placing" of different categories of reason, even a minimal realism makes it difficult to understand how embedding agent-relativity (...) alongside the agent-neutral can be understood as adding to the relevant values, just by moving from a more particular to a less particular conception of the world. This transition also cannot be seen as giving us insight into the intrinsicality of certain values, as that would be to renege on the idea that the subjective point of view is still a point of view on value and one that is expanded, not renounced. It is argued that the standard objection that contractualism is fatally circular is even more plausible in the case of its use as a theory of political legitimacy and Nagel's use of it is quite open about this circularity. Criticising Nagel's philosophical anthropology allows one to develop his positive arguments for egalitarianism; the development of civic virtue, from a perspective in which "the personal" acknowledges the demands of others in one's political community, leads to a political egalitarianism located in a distinct political morality independent of a moralised politics. (shrink)

_ Source: _Page Count 24 Although the fourteenth-century Franciscan theologian Walter Chatton did not comment on Aristotle’s _Categories_, he discussed a number of issues relating to categories in his _Lectura_ on the _Sentences_. The author examines his response to the question ‘How many categories are there?’ He gives three methods by which we can arrive at the number of the categories, the last two of which seem to meet his approval. Chatton advocates a strong isomorphism between ontology and semantics: the (...) number of the categories is determined by and equal to the number of classes of things. (shrink)

_ Source: _Page Count 24 Although the fourteenth-century Franciscan theologian Walter Chatton did not comment on Aristotle’s _Categories_, he discussed a number of issues relating to categories in his _Lectura_ on the _Sentences_. The author examines his response to the question ‘How many categories are there?’ He gives three methods by which we can arrive at the number of the categories, the last two of which seem to meet his approval. Chatton advocates a strong isomorphism between ontology and semantics: the (...) number of the categories is determined by and equal to the number of classes of things. (shrink)

The inclusion of girls and women in sport at all levels depends on single sex categories for most sports from puberty onwards, because of the biological differences between the sexes. Most sport is, by definition, competitive; involving invasion games, teams, leagues, races, competitions and sometimes rankings, from foundation to excellence. Girls and women are underrepresented, particularly in traditional sport, as recognised by the UK Sports Councils and most governing bodies of sport. This paper uses feminist philosophy: Lister on androcentric citizenship, (...) and Fraser on justice as balance, framing, recognition, representation and redistribution. It investigates the impact on the inclusion of girls and women, of eligibility policies adopting ‘self-identification of gender’ guidelines for the inclusion of transgender people in sport, at participation rather than elite levels. It explores fairness and equality as incorporated in law in the 2010 Equality Act in Britain, and contributes to ‘equality evidence’ available to the UK Sports Councils and GBS. These bodies are charged with developing fair and inclusive evidence-based eligibility criteria, in sports participation settings, for both girls and women, and transgender people. (shrink)