We present a formal theory of contextuality for a set of random variables grouped into different subsets corresponding to different, mutually incompatible conditions. Within each context the random variables are jointly distributed, but across different contexts they are stochastically unrelated. The theory of contextuality is based on the analysis of the extent to which some of these random variables can be viewed as preserving their identity across different contexts when one considers all possible joint distributions imposed on the entire set (...) of the random variables. We illustrate the theory on three systems of traditional interest in quantum physics. These are systems of the Klyachko–Can–Binicioglu–Shumovsky-type, Einstein–Podolsky–Rosen–Bell-type, and Suppes–Zanotti–Leggett–Garg-type. Listed in this order, each of them is formally a special case of the previous one. For each of them we derive necessary and sufficient conditions for contextuality while allowing for experimental errors and contextual biases or signaling. Based on the same principles that underly these derivations we also propose a measure for the degree of contextuality and compute it for the three systems in question. (shrink)

We present a proof for a conjecture previously formulated by Dzhafarov et al.. The conjecture specifies a measure for the degree of contextuality and a criterion for contextuality in a broad class of quantum systems. This class includes Leggett–Garg, EPR/Bell, and Klyachko–Can–Binicioglu–Shumovsky type systems as special cases. In a system of this class certain physical properties \ are measured in pairs \ \); every property enters in precisely two such pairs; and each measurement outcome is a binary random variable. (...) Denoting the measurement outcomes for a property \ in the two pairs it enters by \ and \, the pair of measurement outcomes for \ \) is \ \). Contextuality is defined as follows: one computes the minimal possible value \ for the sum of \ ) that is allowed by the individual distributions of \ and \; one computes the minimal possible value \ for the sum of \ across all possible couplings of the entire set of random variables \ in the system; and the system is considered contextual if \ ). This definition has its justification in the general approach dubbed Contextuality-by-Default, and it allows for measurement errors and signaling among the measured properties. The conjecture proved in this paper specifies the value of \ in terms of the distributions of the measurement outcomes \ \). (shrink)

Klyachko and coworkers consider an orthogonality graph in the form of a pentagram, and in this way derive a Kochen-Specker inequality for spin 1 systems. In some low-dimensional situations Hilbert spaces are naturally organised, by a magical choice of basis, into SO(N) orbits. Combining these ideas some very elegant results emerge. We give a careful discussion of the pentagram operator, and then show how the pentagram underlies a number of other quantum “paradoxes”, such as that of Hardy.

We define a family of ‘no signaling’ bipartite boxes with arbitrary inputs and binary outputs, and with a range of marginal probabilities. The defining correlations are motivated by the Klyachko version of the Kochen-Specker theorem, so we call these boxes Kochen-Specker-Klyachko boxes or, briefly, KS-boxes. The marginals cover a variety of cases, from those that can be simulated classically to the superquantum correlations that saturate the Clauser-Horne-Shimony-Holt inequality, when the KS-box is a generalized PR-box (hence a vertex of (...) the ‘no signaling’ polytope). We show that for certain marginal probabilities a KS-box is classical with respect to nonlocality as measured by the Clauser-Horne-Shimony-Holt correlation, i.e., no better than shared randomness as a resource in simulating a PR-box, even though such KS-boxes cannot be perfectly simulated by classical or quantum resources for all inputs. We comment on the significance of these results for contextuality and nonlocality in ‘no signaling’ theories. (shrink)

Using a single spin-1 object as an example, we discuss a recent approach to quantum entanglement. [A.A. Klyachko and A.S. Shumovsky, J. Phys: Conf. Series 36, 87 (2006), E-print quant-ph/0512213]. The key idea of the approach consists in presetting of basic observables in the very definition of quantum system. Specification of basic observables defines the dynamic symmetry of the system. Entangled states of the system are then interpreted as states with maximal amount of uncertainty of all basic observables. The (...) approach gives purely physical picture of entanglement. In particular, it separates principle physical properties of entanglement from inessential. Within the model example under consideration, we show relativity of entanglement with respect to dynamic symmetry and argue existence of single-particle entanglement. A number of physical examples are considered. (shrink)

In this article we ask what it means for sociologists to practice intersectionality as a theoretical and methodological approach to inequality. What are the implications for choices of subject matter and style of work? We distinguish three styles of understanding intersectionality in practice: group-centered, process-centered, and system-centered. The first, emphasizes placing multiply-marginalized groups and their perspectives at the center of the research. The second, intersectionality as a process, highlights power as relational, seeing the interactions among variables as multiplying oppressions at (...) various points of intersection, and drawing attention to unmarked groups. Finally, seeing intersectionality as shaping the entire social system pushes analysis away from associating specific inequalities with unique institutions, instead looking for processes that are fully interactive, historically co-determining, and complex. Using several examples of recent, highly regarded qualitative studies, we draw attention to the comparative, contextual, and complex dimensions of sociological analysis that can be missing even when race, class, and gender are explicitly brought together. (shrink)

Surveying job segmentation within nursing, this article analyzes attempts by professional registered nurses and nursing educators to resist the deskilling of nursing. In so doing, they have reinforced race and class segmentation within nursing. The article concludes with a discussion of class, race, and gender stratification and suggests that resistance to deskilling may reinforce inequalities among women.

Despite the increase in global research on health inequalities, more needs to be done to strengthen efforts to inform local interventions. In this article, we ask what determines the local capacity to engage in research on health inequalities. A bibliometric analysis identified Spain as the 10th highest global contributor to this research field (1966–2015), yet a significant proportion of this production was affiliated to just a few institutions in Barcelona. How and why has the city produced so much (...) health inequalities research over four decades? A realist explanatory case study was conducted to test and refine six causal mechanisms, and identify the contextual conditions that might have activated them to generate this outcome. Data was triangulated from 10 semi-structured interviews, and scientific and grey literature. Our findings confirmed that several of our proposed mechanisms - functioning under certain conditions over time - explain the large volume of health inequalities research in Barcelona. Based on these findings, key lessons from the city's experience are suggested. Further research is needed on this topic. (shrink)

Feminist literature on care has extensively addressed inequalities that cut across the social categories of gender, class and ethnicity in relation to care work. One category that has received less attention in theories of caregiving so far is age. Built on the feminist literature of care and taking young (female) carers as its subject matter, this article tackles age as a third social category of intersectional inequalities along with class and gender. Firstly, through dealing with Nancy Fraser’s justice (...) framework of participatory parity, it is argued that addressing the intersectional inequalities that young (female) carers face necessitates a justice framework that contemplates both the distributional and recognitional aspects of care. In this respect a dual conceptualisation of care is presented – both as a social good and a social process. Secondly, a critical analysis will be presented of the elements of the justice framework of Fraser, where the notion of subordinated status will be related to the identities of young carers. Lastly, the normative framework participatory parity will be discussed in relation to the politics of need, as care practices define the needs of young carers that are contextualised in the care processes, but also in a childhood space. (shrink)

This paper examines the fairness of avoidable inequalities in health. It contrasts two approaches to this question, a direct approach and an indirect approach. Most of the discussion focuses on the indirect approach advocated by Daniels, Kennedy and Kawachi (2000). Their argument that avoidable inequalities in health are not unfair when their causes are otherwise fair is criticised on two counts. First, it encounters a surprising difficulty when one attends carefully to the point at which ethics intersects with (...) epidemiology here. Second, it fails to address the fundamental issue, which is whether any version of the direct approach is valid. (shrink)

In 1935, Einstein, Podolsky, and Rosen (EPR) published an important paper in which they claimed that the whole formalism of quantum mechanics together with what they called a “Reality Criterion” imply that quantum mechanics cannot be complete. That is, there must exist some elements of reality that are not described by quantum mechanics. They concluded that there must be a more complete description of physical reality involving some hidden variables that can characterize the state of affairs in the world in (...) more detail than the quantum mechanical state. This conclusion leads to paradoxical results. -/- As Bell proved in 1964, under some further but quite plausible assumptions, this conclusion that there are hidden variables implies that, in some spin-correlation experiments, the measured quantum mechanical probabilities should satisfy particular inequalities (Bell-type inequalities). The paradox consists in the fact that quantum probabilities do not satisfy these inequalities. And this paradoxical fact has been confirmed by several laboratory experiments since the 1970s. -/- Some researchers have interpreted this result as showing that quantum mechanics is telling us nature is non-local, that is, that particles can affect each other across great distances in a time too brief for the effect to have been due to ordinary causal interaction. Others object to this interpretation, and the problem is still open and hotly debated among both physicists and philosophers. It has motivated a wide range of research from the most fundamental quantum mechanical experiments through foundations of probability theory to the theory of stochastic causality as well as the metaphysics of free will. (shrink)

In the present paper, we study the correspondence and canonicity theory of modal subordination algebras and their dual Stone space with two relations, generalizing correspondence results for subordination algebras in [13–15, 25]. Due to the fact that the language of modal subordination algebras involves a binary subordination relation, we will find it convenient to use the so-called quasi-inequalities and $\varPi _{2}$-statements. We use an algorithm to transform (restricted) inductive quasi-inequalities and (restricted) inductive $\varPi _{2}$-statements to equivalent first-order correspondents (...) on the dual Stone spaces with two relations with respect to arbitrary (resp. admissible) valuations. (shrink)

In this paper, we take up the call to further examine structural injustice in health, and racial inequalities in particular. We examine the many facets of racism: structural, interpersonal and institutional as they appeared in the COVID-19 pandemic in the UK, and emphasize the relevance of their systemic character. We suggest that such inequalities were entirely foreseeable, for their causal mechanisms are deeply ingrained in our social structures. It is by recognizing the conventional, un-extraordinary nature of racism within (...) social systems that we can begin to address socially mediated health inequalities. (shrink)

Inequities shape the everyday experiences and life chances of individuals at the margins of societies and are often associated with lower health and particular challenges in accessing quality treatment and support. This fact is even more dramatic for those individuals who live at the nexus of different marginalized groups and thus may face multiple discrimination, stigma, and oppression. To address these multiple social and structural disadvantages, intersectional approaches have recently gained a foothold, especially in the public health field. This study (...) makes an empirically informed argument for the merits of increasing the use of intersectional frameworks in the mental health field. In the mental health field, the potential for greater attention to multiple unjustified disadvantages appears to be of particular importance, as many mental health service users already face stigma and discrimination because of their mental health issues and thus may benefit particularly frequently and far-reachingly from effective problem awareness about multiple disadvantages. Intersectional approaches may help address the complexity, interdependence, and mutual constitution of social inequalities better than previous approaches that examined only one category of sociostructural stratification. By helping to identify the needs of those at the greatest risk of poor health, intersectional frameworks and tools can contribute not only to better address the needs of multiple disadvantaged individuals with mental health issues but also to the promotion of equity in the field of mental health, contributing to the reduction of health disparities. (shrink)

Ilya Schmelzer wrote recently: Nieuwenhuizen argued that there exists some “contextuality loophole” in Bell’s theorem. This claim in unjustified. It is made clear that this arose from attaching a meaning to the title and the content of the paper different from the one intended by Nieuwenhuizen. “Contextual loophole” means only that if the supplementary parameters describing measuring instruments are correctly introduced, Bell and Bell-type inequalities may not be proven. It is also stressed that a hidden variable model suffers from (...) a “contextuality loophole” if it tries to describe different sets of incompatible experiments using a unique probability space and a unique joint probability distribution. (shrink)

This paper identifies a challenge for liberal relational egalitarians—namely, how to respond to the prospect of emergent inequalities of power, status, and influence arising unintentionally through the free exercise of fundamental individual liberties over time. I argue that these emergent social inequalities can be produced through patterns of nonmalicious choices, that they can in fact impede the full realization of relational equality, and that it is possible they cannot be eliminated entirely without abandoning fundamental liberal commitments to leave (...) individuals substantial discretion in their personal lives. In such cases, I argue that liberal egalitarians should accept fair relational equality—a demanding but nevertheless imperfect form of relational equality. (shrink)

Motivated by recent results and questions of Raghavan and Shelah, we present ZFC theorems on the bounding and various almost disjointness numbers, as well as on reaping and dominating families on uncountable, regular cardinals. We show that if $\kappa =\lambda ^+$ for some $\lambda \geq \omega $ and $\mathfrak {b}=\kappa ^+$ then $\mathfrak {a}_e=\mathfrak {a}_p=\kappa ^+$. If, additionally, $2^{<\lambda }=\lambda $ then $\mathfrak {a}_g=\kappa ^+$ as well. Furthermore, we prove a variety of new bounds for $\mathfrak {d}$ in terms of (...) $\mathfrak {r}$, including $\mathfrak {d}\leq \mathfrak {r}_\sigma \leq \operatorname {\mathrm {cf}}]^\omega )$, and $\mathfrak {d}\leq \mathfrak {r}$ whenever $\mathfrak {r}<\mathfrak {b}^{+\kappa }$ or $\operatorname {\mathrm {cf}})\leq \kappa $ holds. (shrink)

Different people have different perceptions about artificial intelligence (AI). It is extremely important to bring together all the alternative frames of thinking—from the various communities of developers, researchers, business leaders, policymakers, and citizens—to properly start acknowledging AI. This article highlights the ‘fruitful collaboration’ that sociology and AI could develop in both social and technical terms. We discuss how biases and unfairness are among the major challenges to be addressed in such a sociotechnical perspective. First, as intelligent machines reveal their nature (...) of ‘magnifying glasses’ in the automation of existing inequalities, we show how the AI technical community is calling for transparency and explainability, accountability and contestability. Not to be considered as panaceas, they all contribute to ensuring human control in novel practices that include requirement, design and development methodologies for a fairer AI. Second, we elaborate on the mounting attention for technological narratives as technology is recognized as a social practice within a specific institutional context. Not only do narratives reflect organizing visions for society, but they also are a tangible sign of the traditional lines of social, economic, and political inequalities. We conclude with a call for a diverse approach within the AI community and a richer knowledge about narratives as they help in better addressing future technical developments, public debate, and policy. AI practice is interdisciplinary by nature and it will benefit from a socio-technical perspective. (shrink)

The public/private dichotomy has long been the object of considerable attention for feminists. We argue that, by focusing their attention on a divide which has declined in importance, feminists may fail to keep up with the current means by which sexual inequalities are perpetuated. Furthermore, by concentrating on this divide feminists risk reproducing such dichotomous thinking in their own work, discursively perpetuating that which they had initially hoped to displace. We begin by surveying feminist critiques of the public/private dichotomy, (...) consider recent moves to go beyond critique, yet suggest that the dichotomy continues to be a framing concern within feminist work. We then survey the way in which space has been understood within geography, and consider the implications of adopting a relational conception of space for analysis of public and private in political theory. We offer a broader framework for examining the ways in which sexual inequalities are reproduced in contemporary society. We therefore open up the possibility that over time inequalities may be mediated to a greater or lesser degree by spatial divisions. This places a further pressure on the assumption that the public/private divide, or some variation thereof, must be at the heart of feminist theorizing. (shrink)

Although the STS literature on boundary-work recognizes that such work unfolds within a “terrain of uneven advantage” vis-à-vis gender, race, and other inequalities, reflection about that uneven advantage has been strikingly underdeveloped. This article calls for a retheorizing of boundary-work that engages more actively with feminist, critical race, and postcolonial scholarship and examines more systematically the relation between scientific boundary-work, broader structures of sociopolitical inequality, and boundary-workers’ positionality. To demonstrate the need for this retheorization, I analyze ethnographic and interview (...) data on scientific boundary-work in the natural and social sciences in Portugal, showing that scholars’ gender, sexuality, race, ethnicity, and nationality affect the success of their boundary-work. I suggest, therefore, that in unequal societies where credibility is unevenly distributed, the conditions are not in place for some scholars’ boundary-work to work. I draw on Sara Ahmed to argue that we must conceptualize scientific boundary-work as always potentially performative, but not always successfully so, and explicitly interrogate the actual conditions of performativity. Recognizing the links between inequality, embodiment, and non-performativity in scientific boundary-work will enable STS to better understand, and hopefully transform, the relations between contingent struggles over scientificity and entrenched structures of power. (shrink)

Life expectancy and health differ greatly between emerging and developed countries and within countries. Global dependence on fossil fuels contributes to health inequalities through air pollution, the geopolitics of scarce resources and probable climate change arising from global warming. Substituting for fossil fuels (C), hydrogen (H2), as vector and store of energy produced from low-carbon and/or renewable sources could reduce health inequalities by improving the environment. It is unlikely that the global market would initiate such a change. Nation-states (...) would not act alone and would need to cooperate in leading it. Global recession might be the incentive that is needed to restructure a C-economy into an H2-economy. Yet, the transition would carry high costs, which would have to be borne by the developed countries in order to achieve a new treaty that included emerging countries. H2 for C is thus not only a technical fix, but also a global-ethical choice. (shrink)

Poor pregnancy outcomes and inequalities in these outcomes remain a major challenge, even in prosperous societies that have high-quality health care and public health policy in place. In this article, we propose that justice demands the improvement of what we call the ‘health agency’ of parents-to-be as part of a response to these poor outcomes. We take health agency to have three aspects: the capacity to form health-goals one has reason to value, the control one perceives to have over (...) achieving those health-goals and the freedom one has to achieve those health-goals. We will moreover argue that this demand of justice can be best based on a perfectionist rather than neutralist method of justification. Subsequently, we will argue that perfectionist policy may be paternalistic but not wrongfully paternalistic. This leads us to conclude that perfectionism should be adopted to inform and justify public health policy that is aimed at improving health agency in general and counteracting poor pregnancy outcomes and inequalities in perinatal health outcomes in particular. (shrink)

Low-carbon innovation is usually depicted as an exemplar of pursuit of the common good, in both mainstream policy discussion and the emerging orthodoxy of transition studies. Yet it may emerge as a key means of intensifying inequality. We analyse low-carbon innovation as a social and political process through the prism of differential risk-classes, focusing on the pivotal global case of emergence of the Chinese middle-class in seaboard megacities, especially regarding the profound challenges of urban e-mobility transition. This approach shows emergence (...) of this still-forming sociopolitical grouping as tightly and complementarily coupled with the assembling of innovations that meaningfully tackle global risks, such as climate change, while also intensifying existing inequalities. Misrecognition of the duality of low-carbon innovations as both moral technologies and as relatively expensive consumer products has the potentiality to be a key mechanism of this process, thereby serving to reproduce, constitute and legitimize inequalities in novel and unexpected ways. (shrink)

As cases of COVID-19 continue to rise, some countries, including the US, Chile, and Germany, have considered issuing “immunity passports.” This possibility has raised concerns and debate regarding their potential social, political and economic ramifications, especially for marginalized communities. This paper contributes to that debate by exposing that ways in which immunoprivilege already exists and operates within our present system of structural inequalities.

This paper examines the intrinsic relation between institutions and social justice. Its starting point is that processes of institutionalization invoke societal groups to articulate justice demands which, in their turn, give rise to processes of institutional redesign. In liberal democracies, demands for justice are articulated as a pursuit for emancipation and empowerment of groups that feel excluded by dominant categorizations. The imminent presence of this twin pursuit for justice can be explained by the conceptual inconsistencies that characterize the distinction between (...) the public and private sphere. These inconsistencies also explain why demands for emancipation and empowerment are intrinsically ambiguous and inconsistent. In order to reconsider the question how institutions are to be adapted to allow for social justice while acknowledging the plurality, ambiguity and volatility of justice demands, the paper will propose an empirical and normative research agenda. (shrink)

We describe a general method for verifying inequalities between real-valued expressions, especially the kinds of straightforward inferences that arise in interactive theorem proving. In contrast to approaches that aim to be complete with respect to a particular language or class of formulas, our method establishes claims that require heterogeneous forms of reasoning, relying on a Nelson-Oppen-style architecture in which special-purpose modules collaborate and share information. The framework is thus modular and extensible. A prototype implementation shows that the method is (...) promising, complementing techniques that are used by contemporary interactive provers. (shrink)

Roma communities across Europe still remain a neglected population group by way of the social and economic disadvantage that largely characterizes their lives. Roma communities continue to experience structural socioeconomic health inequalities on the grounds of their ethnic origin, alarmingly unveiling a pattern of systematic discrimination and ethnic marginalization. Without any doubt, such a highly worrying situation calls for States to incorporate Roma health rights within their law and policy agendas in a manner consistent with right to health requirements. (...) Against this background, this paper seeks to identify an operational human rights framework for States as a driver for better informed policies and implementation as well as for Roma engagement in the deliberations about their life prospects. The paper argues that continuing, concerted, and proactive State engagement is required for effectively addressing the structural obstacles impeding Roma socioeconomic health rights realization and maximizing Roma opportunities for well-being. (shrink)

(2001). Critical Realism, Sociology and Health Inequalities: Social Class as a Generative Mechanism and its Media of Enactment. Alethia: Vol. 4, No. 1, pp. 35-42.

This paper assesses the role of shadow education (SE), i.e., organised learning activities outside formal schooling, in the lives of secondary school students of different social backgrounds and in different school settings, in a high-stakes context. It draws on multilevel analysis of longitudinal Growing Up in Ireland data, alongside narratives from in-depth case study research in 10 schools. Framed within a social reproduction approach, we show how access to SE as an educational resource is socially stratified, accessible to those with (...) greater levels of family resources, and those attending schools with higher socio-economic student intakes. SE is viewed as an investment, particularly among students with average and above average levels of prior attainment, while high attaining students are less likely to use SE. Perhaps reflecting the normalisation of SE in the Irish context, students do not directly link engagement in such tuition to their socio-emotional wellbeing. (shrink)

Drawing on data from 100 qualitative interviews with the recently unemployed, this study examines how participants made decisions about attempting to return to work and identifies how class and gender shape these decisions. Middle-class men were most likely to take time to attempt to return to work, middle-class women were most likely to begin a deliberate job search, working-class men were most likely to report an urgent search, and working-class women were most likely to have diverted searches. Financial resources, gendered (...) labor force attachments, and family responsibilities shaped decision making. Ultimately, those in the middle-class appear doubly advantaged—both in their financial capabilities and in their ability to respond to the crisis with greater gender flexibility. (shrink)

The present paper investigates the philosophical relationship between John von Neumann’s Nohidden-variable theorem and Bell’s inequalities. Bell erroneously takes the axiomatic method as implying a finality claim and thus ignores von Neumann’s strongly pragmatist stance towards mathematical physics. If one considers, however, Hilbert’s axiomatic method as a critical enterprise, Bell’s theorem improves von Neumann’s by defining a more appropriate notion of ‘ hidden variable’ that permits one to include Bohm’s interpretation which recovers the predictive content of quantum mechanics. Contrary (...) to Bell’s belief, accepting this model does not require adopting the metaphysically realist Böhm picture. If one takes the latter as a physical research programme one sees that it only partly disputes a common domain of facts with the mathematically oriented research programme of von Neumann. (shrink)