Given a simple non-trivial finite-dimensional Lie algebra L, fields $K_i$ and Chevalley groups $L(K_i)$ , we first prove that $\Pi_{\mathcal{U}} L(K_i)$ is isomorphic to $L(\Pi_{\mathcal{U}}K_i)$ . Then we consider the case of Chevalley groups of twisted type ${}^n\!L$ . We obtain a result analogous to the previous one. Given perfect fields $K_i$ having the property that any element is either a square or the opposite of a square and Chevalley groups ${}^n\!L(K_i)$ , then $\pu{}^n\!L(K_i)$ is isomorphic to (...) ${}^n\!L(\pu K_i)$ . We apply our results to prove the decidability of the set of sentences true in almost all finite groups of the form L(K) where K is a finite field and L a fixed untwisted Chevalley type. (shrink)

A totally ordered group G is essentially periodic if for every definable non-trivial convex subgroup H of G every definable subset of G is equal to a finite union of cosets of subgroups of G on some interval containing an end segment of H; it is coset-minimal if all definable subsets are equal to a finite union of cosets, intersected with intervals. We study definable sets and functions in such groups, and relate them to the quasi-o-minimal groups introduced (...) in Belegradek et al. . Main results: An essentially periodic group G is abelian; if G is discrete, then definable functions in one variable are ultimately piecewise linear. A group such that every model elementarily equivalent to it is coset-minimal is quasi-o-minimal , and its definable functions in one variable are piecewise linear. (shrink)

This paper investigates how specific notions of gender and ethnicity are integrated into diversity discourses presented on 241 top European company websites. Large European companies increasingly disclose equality and diversity policies in statements on websites. Such statements may be used to promote an ethical image of the company in terms of how well it manages diversity and guards against discrimination. In this paper, we argue that diversity statement discourses are important as they play a key part in socially constructing how (...) diversity should be regarded in the company by minority and majority groups, as well as indicating corporate values to external stakeholders. Sometimes, the notions of gender or ethnic diversity are positioned as a liability in need of protection, whilst in others, as a source of competitive advantage. We find evidence of use of discursive tools such as problematisation, rationalisation, fixation, reframing and naturalisation of the notions of gender and ethnic diversity, reinforced by use of symbols, such as statistics, photographs, membership badges and awards. Few statements directly associate gender and ethnic diversity with enhanced corporate performance. We found that diversity statements sometimes appear to reinforce existing business stereotypes of women and people from ethnic minorities, and in a few discourses, create new ones, particularly evident in photographs illustrating the diversity web pages. (shrink)

We revisit Kolchin's results on definability of differential Galois groups of strongly normal extensions, in the case where the field of constants is not necessarily algebraically closed. In certain classes of differential topological fields, which encompasses ordered or p‐valued differential fields, we find a partial Galois correspondence and we show one cannot expect more in general. In the class of ordered differential fields, using elimination of imaginaries in, we establish a relative Galois correspondence for relatively definable subgroups of the (...) group of differential order automorphisms. (shrink)

We show that if G is a group of finite Morley rank, then the verbal subgroup is of finite width, where w is a concise word. As a byproduct, we show that if G is any abelian-by-finite group, then Gn= is definable.

Let n be a positive integer and FAℓ be the free abelian lattice-ordered group on n generators. We prove that FAℓ and FAℓ do not satisfy the same first-order sentences in the language if m≠n. We also show that is decidable iff n{1,2}. Finally, we apply a similar analysis and get analogous results for the free finitely generated vector lattices.

This paper investigates how specific notions of gender and ethnicity are integrated into diversity discourses presented on 241 top European company websites. Large European companies increasingly disclose equality and diversity policies in statements on websites. Such statements may be used to promote an ethical image of the company in terms of how well it manages diversity and guards against discrimination. In this paper, we argue that diversity statement discourses are important as they play a key part in socially constructing how (...) diversity should be regarded in the company by minority and majority groups, as well as indicating corporate values to external stakeholders (investors, government, community, press etc.). Sometimes, the notions of gender or ethnic diversity are positioned as a liability in need of protection, whilst in others, as a source of competitive advantage. We find evidence of use of discursive tools such as problematisation, rationalisation, fixation, reframing and naturalisation of the notions of gender and ethnic diversity, reinforced by use of symbols, such as statistics, photographs, membership badges and awards. Few statements directly associate gender and ethnic diversity with enhanced corporate performance. We found that diversity statements sometimes appear to reinforce existing business stereotypes of women and people from ethnic minorities, and in a few discourses, create new ones, particularly evident in photographs illustrating the diversity web pages. (shrink)

Let G be a finite group. We prove that the theory af abelian-by-G groups is decidable if and only if the theory of modules over the group ring ℤ[G] is decidable. Then we study some model theoretic questions about abelian-by-G groups, in particular we show that their class is elementary when the order of G is squarefree.

Let G be a definably compact group in an o-minimal expansion of a real closed field. We prove that if dim(G\X) < dim G for some definable ${X \subseteq G}$ then X contains a torsion point of G. Along the way we develop a general theory for the so-called G-linear sets, and investigate definable sets which contain abstract subgroups of G.

We prove an analogue of the fixed-point theorem for the case of definably amenable groups.

There are good reasons to think that Vāsudeva, Saṃkarṣaṇa, Pradyumna and Aniruddha already form a sort of implicit tetrad in the HV. The aim of this paper is to draw attention to often overlooked data related to this tetrad. (1) Upon first reading, the sequence of the HV episodes appears to be somewhat disconnected, and might lead one to conclude that no such grouping of these figures had as of yet taken place. Nevertheless, a closer look at the structure of (...) the text makes it clear that these four characters are one of the main focuses of the narrator’s interest. (2) The relationships of these four heroes to one another and to other deities will be examined. In addition to their close kinship, these heroes with the exception of Aniruddha, are also said to be incarnations of other entities; thus the logic underpinning this grouping must be located at this other level. (3) Considered against the backdrop of the entire HV, one realizes that a basic pattern is established in which the presence of the goddess, under various names and functions, is required not only to facilitate Saṃkarṣaṇa’s and Kr̥ṣṇa’s births and actions on earth, but also the actions of Pradyumna and Aniruddha. In fact, neither Kr̥ṣṇa Vāsudeva, nor Saṃkarṣaṇa, nor Pradyumna nor Aniruddha can act entirely independently of her assistance. (4) The HV does not employ the word vyūha in connection with the group of Vāsudeva, Saṃkarṣaṇa, Pradyumna and Aniruddha. Nevertheless, during the battle waged to deliver Aniruddha, the idea of vyūha is present even if the word itself is not. HV 110.47–49 describes a true trivyūha composed of three fighters (Vāsudeva, Saṃkarṣaṇa and Pradyumna), who are arranged in such a way as to protect one another. The episode of Aniruddha’s liberation appears to be the missing link, showing clearly that at least Kr̥ṣṇa, Saṃkarṣaṇa and Pradyumna are capable of assuming a vyūha as they fight the Rudraic forces. (shrink)

According to some collectivists, purposive groups that lack decision-making procedures such as riot mobs, friends walking together, or the pro-life lobby can be morally responsible and have moral duties. I focus on plural subject- and we-mode-collectivism. I argue that purposive groups do not qualify as duty-bearers even if they qualify as agents on either view. To qualify as a duty-bearer, an agent must be morally competent. I develop the Update Argument. An agent is morally competent only if the (...) agent has sufficient positive and negative control over updating their goal-seeking states. Positive control involves the general ability to update one’s goal-seeking states, whereas negative control involves the absence of other agents with the capacity to arbitrarily interfere with updating one’s goal-seeking states. I argue that even if purposive groups qualify as plural subjects or we-mode group agents, these groups necessarily lack negative control over updating their goal-seeking states. This creates a cut-off point for groups as duty-bearers: Organized groups may qualify as duty-bearers, whereas purposive groups cannot qualify as duty-bearers. (shrink)

ABSTRACT. This article presents theories of group belief with a problem. It is conceptually and psychologically impossible for there to be a believer with just one belief. For conceptual reasons, a single belief could not have any content without the background of other beliefs. Or even if it could, it would for psychological reasons be impossible for the believer to know or understand the content of its sole belief. With certain plausible assumptions, however, groups would at some point (...) of time -/- have to have only one belief so far. (Especially the assumption of discontinuity between the group’s and its members’ commitments leads to this.). If it is conceptually or psychologically impossible for -/- the group to acquire its first belief, it can never come to acquire any beliefs at all. The article ends by discussing various ways out. -/- KEYWORDS: Group belief, Philip Pettit, belief formation, holism, content of beliefs, problem of the first belief. (shrink)

David Sloan Wilson has recently revived the idea of a group mind as an application of group selectionist thinking to cognition. Central to my discussion of this idea is the distinction between the claim that groups have a psychology and what I call the social manifestation thesis-a thesis about the psychology of individuals. Contemporary work on this topic has confused these two theses. My discussion also points to research questions and issues that Wilson's work raises, as well as their (...) connection to externalist conceptions of the mind familiar since the work of Putnam and Burge. (shrink)

When groups feature in political philosophy, it is usually in one of three contexts: the redressing of past or current injustices suffered by ethnic or cultural minorities; the nature and scope of group rights; and questions around how institutions are supposed to treat a certain specific identity/cultural/ethnic group. What is missing from these debates is a comprehensive analysis of groups as both agents and objects of social policies. While this has been subject to much scrutiny by sociologists and (...) social psychologists, it has received less attention from a normative and philosophical point of view. This volume asks: what problems are posed to political philosophy by a collection of individuals who act or are treated in a collective way? Focusing not only on ways in which institutions should treat groups, but also on the normative implications of considering groups as possible social agents, when acting either in vertical relations with the state or in horizontal relations with other groups (or individuals), this book explores these issues from both theoretical and practical perspectives, combining questions about the nature of groups, and their social and political impacts, with the particular, pressing considerations to which such groups give rise. (shrink)

Group polarization—roughly, the tendency of groups to incline towards more extreme positions than initially held by their individual members— has been rigorously studied by social psychol- ogists, though in a way that has overlooked important philosophical questions about this phenomenon which remain unexplored. Two such salient questions are metaphysical and epistemological, respectively. From a metaphysical point of view, can group polarization, understood as an epistemic feature of a group, be reduced to epistemic features of its individual members? Relatedly, (...) from an epistemological point of view, is group polarization best understood as a kind of cognitive bias or rather in terms of intellectual vice? This book taxonomizes this possibility space by comparing four models which combine potential answers to the metaphysical and epistemological questions. The models we consider are: group polarization as a collective bias, a summation of individual epistemic vices; a summation of individual biases; and a collective epistemic vice. We defend a collective vice model of group polarization over the competing alternatives. (shrink)

Economic small group research points to groups as more rational decision-makers in numerous economic situations. However, no attempts have been made to investigate whether groups are affected similarly by behavioral biases that are pervasive for individuals. If groups were also able to more effectively avoid these biases, the relevance of biases in actual economic contexts dominated by group decision-making might be questioned. We consider the case of anchoring as a prime example of a well-established, robust bias. Individual (...) and group biasedness in three economically relevant domains are compared: factual knowledge, probability estimates and price valuations. In contrast to previous anchoring studies, we find groups to successfully reduce, albeit not eliminate, anchoring in the factual knowledge domain. For the other two domains, groups and individuals are equally biased by external anchors. Group cooperation thus reduces biases for predominantly intellective tasks only, while no such reduction is achieved when judgmental aspects are involved. (shrink)

A crucial socio-political challenge for our age is how to rede!ne or extend group membership in such a way that it adequately responds to phenomena related to globalization like the prevalence of migration, the transformation of family and social networks, and changes in the position of the nation state. Two centuries ago Immanuel Kant assumed that international connectedness between humans would inevitably lead to the realization of world citizen rights. Nonetheless, globalization does not just foster cosmopolitanism but simultaneously yields the (...) development of new group boundaries. Group membership is indeed a fundamental issue in political processes, for: “the primary good that we distribute to one another is membership in some human community” – it is within the political community that power is being shared and, if possible, held back from non-members. In sum, it is appropriate to consider group membership a fundamental ingredient of politics and political theory. How group boundaries are drawn is then of only secondary importance. Indeed, Schmitt famously declared that “[e]very religious, moral, economic, ethical, or other antithesis transforms into a political one if it is suffciently strong to group human beings e#ectively according to friend and enemy”. Even though Schmitt’s idea of politics as being constituted by such antithetical groupings is debatable, it is plausible to consider politics among other things as a way of handling intergroup di#erences. Obviously, some of the group-constituting factors are more easily discernable from one’s appearance than others, like race, ethnicity, or gender. As a result, factors like skin color or sexual orientation sometimes carry much political weight even though individuals would rather con!ne these to their private lives and individual identity. Given the potential tension between the political reality of particular groupmembership defnitions and the – individual and political – struggles against those definitions and corresponding attitudes, citizenship and civic behavior becomes a complex issue. As Kymlicka points out, it implies for citizens an additional obligation to non-discrimination regarding those groups: “[t]his extension of non-discrimination from government to civil society is not just a shift in the scale of liberal norms, it also involves a radical extension in the obligations of liberal citizenship”. Unfortunately, empirical research suggests that political intolerance towards other groups “may be the more natural and ‘easy’ position to hold”. Indeed, since development of a virtue of civility or decency regarding other groups is not easy, as it often runs against deeply engrained stereotypes and prejudices, political care for matters like education is justified. Separate schools, for example, may erode children’s motivation to act as citizens, erode their capacity for it and!nally diminish their opportunities to experience transcending their particular group membership and behave as decent citizens. This chapter outlines a possible explanation for such consequences. That explanation will be found to be interdisciplinary in nature, combining insights from political theory and cognitive neuroscience. In doing so, it does not focus on collective action, even though that is a usual focus for political studies. For example, results pertaining to collective political action have demonstrated that the relation between attitudes and overt voting behavior or political participation is not as direct and strong as was hoped for. Several conditions, including the individual’s experiences, self-interest, and relevant social norms, turned out to interfere in the link between his or her attitude and behavior. Important as collective action is, this chapter is concerned with direct interaction between agents and the in$uence of group membership on such interaction – in particular joint action. Although politics does include many forms of action that require no such physical interaction, such physical interaction between individuals remains fundamental to politics – this is the reason why separate schooling may eventually undermine the citizenship of its isolated pupils. This chapter will focus on joint action, de!ned as: “any form of social interaction whereby two or more individuals coordinate their actions in space and time to bring about a change in the environment”. Cognitive neuroscienti!c evidence demonstrates that for such joint action to succeed, the agents have to integrate the actions and expected actions of the other person in their own action plans at several levels of speci!city. Although neuroscienti!c research is necessarily limited to simple forms of action, this concurs with a philosophical analysis of joint action, which I will discuss below. (shrink)

Let G be a stable abelian group with regular modular generic. We show that either 1. there is a definable nongeneric K ≤ G such that G/K has definable connected component and so strongly regular generics, or 2. distinct elements of the division ring yielding the dependence relation are represented by subgroups of G × G realizing distinct strong types (when regarded as elements of G eq ). In the latter case one can choose almost 0-definable subgroups representing the elements (...) of the division ring. We find a bound $((G: G^0))$ for the size of the division ring in case G has no definable subgroup K so that G/K is infinite with definable connected component. We show in case (2) that the group G/H, where H consists of all nongeneric points of G, inherits a weakly minimal group structure from G naturally, and Th(G/H) is independent of the particular model G as long as G/H is infinite. (shrink)

This essay addresses tensions within political philosophy between group rights, which allow historically marginalized communities some self-governance in determining its own rules and norms, and the rights of marginalized subgroups, such as women, within these communities. Community norms frequently uphold patriarchal structures that define women as inferior to men, assign them a subordinate status within the community, and cut them off from the individual rights enjoyed by women in other sections of society. As feminists point out, the capacity for (...) voice and exit cannot be taken for granted, for community norms may be organized in ways that deny women any voice in its decision-making forums as well as the resources they would need to survive outside the community. This essay draws on research among the Gond, an indigenous community in India, to explore this debate. Given the strength of the forces within the community militating against women’s capacity for voice or exit, the question motivating our research is: Can external organizations make a difference? We explore the impacts of two external development organizations that sought to work with women within these communities in order to answer this question. (shrink)

Collaborative inquiry (CI) often prefers using the small group as the main method of investigation serving the twin goals that characterize this type of research—the production of scientific knowledge and the professional development of its participants. The small group offers researchers and practitioners a mutual space for analyzing issues of common interest which arise from the day-to-day experience of the latter. Supporting these groups and their participants can be a major challenge and plays a crucial role in carrying out (...) a CI project. But what exactly do this stance and the work supporting it entail? The authors of this article offer some possible answers to this broad question by drawing on their own experiences in various CI projects and on a systematic approach that they have developed in recent years. Knowledge related to CI— as a methodological approach and as part of the process and goals of experiential learning in particular—made it possible to study support issues, starting with areas of focus that guide researchers and act as reference points in the course of this work. (shrink)

The existence of group agents is relatively widely accepted. Examples are corporations, courts, NGOs, and even entire states. But should we also accept that there is such a thing as group consciousness? I give an overview of some of the key issues in this debate and sketch a tentative argument for the view that group agents lack phenomenal consciousness. In developing my argument, I draw on integrated information theory, a much-discussed theory of consciousness. I conclude by pointing out an implication (...) of my argument for the normative status of group agents. (shrink)

Purpose This paper aims to unveil the general nature of virtual chat groups in multi-ethnic societies like Nigeria towards knowing whether and how diversity inclusiveness codes of conduct are encouraged and managed among virtual chat group participants. Design/methodology/approach Data in this research was collected via five virtual focus groups of five to eight discussants each and was complemented by virtual field surveys. Responses were validated through verification of registered personal mobile phone numbers. Each design was implemented to cover (...) Nigeria’s six geopolitical zones. The research was broadly framed – according to the uses and gratification theory, social inclusion hypothesis and utilitarian theory of ethics. Findings The research shows how virtual chat groups can enhance understanding of diversities. However, virtual chat-group outcomes are better managed if anticipated gratifications are predictable and based on the utilization of stated conduct codes. Research limitations/implications Given Nigeria’s vast population, the sample size for this study is not adequate nor systematic enough towards generalizations. However, the diverse background of focus group discussants enhances the vista for understanding inclusive virtual chats in diverse societies. Moreover, the instruments of research data collection were validated. Practical implications This research points out that virtual chat groups’ codes of conduct are most effective when participants can anticipate collective gratifications. However, firmness and fairness in the implementation of code of conduct principles are essential for long-term virtual group chat sustenance. Social implications Code of conduct principles are essential for the long-term virtual chat group sustenance. When this is achieved, some of the social problems of Nigeria may be solved, and the social, ethnic and religious differences may not hinder the proper development of the country. Originality/value The research exposes the nature and role of virtual chat group communication inclusivity codes of conduct amidst participants’ demographic diversity. (shrink)

Adam Hochman has recently argued for comprehensive anti-realism about race against social kind theories of race. He points out that sceptics, often taken as archetypical anti-realists, may admit race in certain circumstances even if they are eliminativists about race. To be comprehensively anti-realist about races, which also means rejecting all ‘race talk’, he suggests that racial formation theory should be abandoned in favour of interactive constructionism. Interactive constructionism argues for the reality of racialized individuals and racialized groups to the (...) exclusion of realism about races. Its supplementation of comprehensive anti-realism is meant to give us the ability to account for all relevant phenomena of interest surrounding the question of race without having to admit that races are real in any sense. I argue that although Hochman’s interactive constructionism succeeds in establishing the existence of racialized individuals and groups, it does not do so to the exclusion of realism about social races. Furthermore, I show that his comprehensive anti-realism, even when it is supplemented with interactive constructionism, is inadequate to deal with all relevant phenomena of interest surrounding the question of race. (shrink)

One of the aims of the 40th Annual Spindel Conference was to discuss whether the ongoing, but relatively distinct, investigations of relational autonomy and collective intentionality could crossfertilize. Whereas the concept of relational autonomy was developed to do justice to the relational character of selfhood, and as an alternative to traditional conceptions of autonomy, which were accused of exaggerating the self‐reliance and social independence of the self, recent discussions of collective intentionality have often centered on the question of whether and (...) how collective intentions differ from aggregations of individual intentions. As different as they might otherwise be, theoretical explorations of autonomy and collective intentionality intersect at a crucial point: both require an understanding of the relationship between the self and the group, between individual subjectivity and social life. The aim of the following paper is to argue that the collective intentionality literature contains insights that cannot merely contribute to our understanding of autonomy, but also prevent us from taking our relationism too far. (shrink)

Schoenflies point groups are presented in terms of spatial partitions and Laue classes based on abstract groups. A much simpler system using only a minimal set of generators for three dimensional groups is then presented in the same form. This simplified treatment allows group operations of a given Laue class to be correlated to a greatly simplified Mulliken-style notation for irreducible representations of that class. Transformation matrix representations of point groups in the simplified style (...) can then be manipulated according to their position in the class or to their sub-groups in very clear procedures. Simple rules can replace the large numbers of tables necessary in the Schoenflies approach. Some applications of the method are described. (shrink)

It is generally assumed that group agency must be a social phenomenon because it involves interactions among many human beings. This assumption overlooks the real metaphysical nature of agency, which is both normative and voluntarist. Construed as a normative phenomenon, individual agency arises wherever there is a point of view from which deliberation and action proceed in accord with the requirements that define individual rationality. Such a point of view is never a metaphysical given, but is always a (...) product of rational activities that aim to satisfy the requirements that define individual rationality. When such a deliberative point of view is forged within a whole human life, there is a single agent of human size. But such points of view can also be forged within parts of human lives so as to constitute multiple agents within them; and they can also be achieved within groups of human lives so as to constitute group agents that literally deliberate and act as one. If such a group agent were a social phenomenon, then its agency would simultaneously be the agency of many even as it was also the agency of one. In that case, its deliberations and actions would have to proceed from many separate deliberative points of view, at the same time that they also proceeded from a single deliberative point of view. A correct account of rational agency shows that this is not necessarily so, and indeed, not typically so. Moreover, if it were so much as possible for this to be so, it would require special conditions of the sort that Rousseau identified in his account of the general will. But this special case is not a good model on which to understand the cases of group agency that are most often discussed in the philosophical literature. They are more appropriately viewed as cases in which the condition of individual agency is realized at the level of a group, than as cases of social agency per se. (shrink)

We study automorphism groups of trivial strongly minimal structures. First we give a characterization of structures of bounded valency through their groups of automorphisms. Then we characterize the triplets of groups which can be realized as the automorphism group of a non algebraic component, the subgroup stabilizer of a point and the subgroup of strong automorphisms in a trivial strongly minimal structure, and also we give a reconstruction result. Finally, using HNN extensions we show that any (...) profinite group can be realized as the stabilizer of a point in a strongly minimal structure of bounded valency. (shrink)

We prove that if an ultrafilter \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{L}}$$\end{document} is not coherent to a Q-point, then each analytic non-σ-bounded topological group G admits an increasing chain \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\langle G_\alpha:\alpha < \mathfrak b(\mathcal L)\rangle}$$\end{document} of its proper subgroups such that: (i) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\bigcup_{\alpha}G_\alpha=G}$$\end{document}; and (ii) For every σ-bounded subgroup H of G there exists α such that \documentclass[12pt]{minimal} (...) \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H\subset G_\alpha}$$\end{document}. In case of the group Sym(ω) of all permutations of ω with the topology inherited from ωω this improves upon earlier results of S. Thomas. (shrink)

We introduce and study the model-theoretic notions of absolute connectedness and type-absolute connectedness for groups. We prove that groups of rational points of split semisimple linear groups (that is, Chevalley groups) over arbitrary infinite fields are absolutely connected and characterize connected Lie groups which are type-absolutely connected. We prove that the class of type-absolutely connected group is exactly the class of discretely topologized groups with the trivial Bohr compactification, that is, the class of minimally (...) almost periodic groups. (shrink)

Group contingency (GC) is an effective and cost-efficient strategy that can be successfully applied to technology-based interventions. This study examined the relative effectiveness and cost efficiency of three types of technology-based group contingencies on walking among adults. Seventy two students were divided into teams of three. Each team was randomly assigned to one of three GC conditions (independent, interdependent, or dependent) and underwent 66 days of technology-based group contingency intervention. Sixty five participants completed the intervention and 61 completed the follow-up (...) assessment 2 months later. Step counts and self-reported walking activity increased after the intervention under all three conditions. The proportion of participants that met the target step counts was significantly higher under the dependent group contingency condition. However, 2 months later, intervention effects were not maintained under any condition. For cost efficiency, the increase in step count per point was significantly higher under the interdependent group contingency condition. Group cohesion and social validity (point satisfaction and point utility) were significantly higher under the dependent group contingency condition. Finally, the clinical implications and limitations of this study are discussed. (shrink)

Nous nous proposons de faire une brève réflexion morale sur la pauvreté ou plus exactement sur l'homme pauvre. Prenons pour point de départ la définition de la pauvreté formulée par M. Dofny à Lévis et publiée par le Devoir du 8 septembre 1965. La pauvreté est l'ćtat de privation des biens nécessaires à la subsistance et au développement des individus et des groupes à une époque donnée. Je crois que c'est lá une bonne definition. J'aimerais cependant, expliciter ce qui (...) y est inclus, c'est-à-dire la privation des biens nécessaires aux individus, aux families et aux autres groupes. Ce n'est qu'une question d'accent, car je suis convaincu que pour les individus, et pour les groupements autres que la famille, y compris la nation et l'État, la famille est d'une importance fondamentale. (shrink)

Pointing is a cornerstone of human communication, but does it take the same form in all cultures? Manual pointing with the index finger appears to be used universally, and it is often assumed to be universally preferred over other forms. Non-manual pointing with the head and face has also been widely attested, but it is usually considered of marginal significance, both empirically and theoretically. Here, we challenge this assumed marginality. Using a novel communication task, we investigated pointing preferences in the (...) Yupno of Papua New Guinea and in U.S. undergraduates. Speakers in both groups pointed at similar rates, but form preferences differed starkly: The Yupno participants used non-manual pointing numerically more often than manual pointing, whereas the U.S. participants stuck unwaveringly to index-finger pointing. The findings raise questions about why groups differ in their pointing preferences and, more broadly, about why humans communicate in the ways they do. (shrink)

Exploring the concepts of ethics, morality, and decision-making for the law enforcement community, Decision Point: Real-Life Ethical Dilemmas in Law Enforcement offers an inside look at the difficult challenges officers confront every day as they face ethical decisions that could drastically alter the course of their careers. Through a series of real-life vignettes, the book reviews specific scenarios, the actual decisions that were made, and the consequences and implications of these decisions. Focusing on the critical thinking needed for making (...) appropriate decisions, it retrospectively discusses considerations that were or should have been evaluated at the time. An engaging text ideal for classroom use, the book offers discussion questions at the end of each chapter that can be used as assignments, group breakout discussions, or professor-facilitated discussions. (shrink)

Using sheaves of special groups, we show that a general local-global principle holds for every reduced special group whose associated space of orderings only has a finite number of accumulation points. We also compute the behaviour of the Boolean hull functor applied to sheaves of special groups.

In this paper a social group’s (retrospective) responsibility for its actions and their consequences are investigated from a philosophical point of view. Building on Tuomela’s theory of group action, the paper argues that group responsibility can be analyzed in terms of what its members (jointly) think and do qua group members. When a group is held responsible for some action, its members, acting qua members of the group, can collectively be regarded as praiseworthy or blameworthy, in the light of (...) some normative standard, for what the group has done. The paper gives a necessary and sufficient conditions analysis of a group’s responsibility for its actions and their outcomes, and the conditions can be cashed out in terms of the group members’ joint (and other) actions. (shrink)

Given a finitely generated group Γ, we study the space Isom(Γ, ℚ������) of all actions of Γ by isometries of the rational Urysohn metric space ℚ������, where Isom(Γ, ℚ������) is equipped with the topology it inherits seen as a closed subset of Isom(ℚ������) Γ . When Γ is the free group ������ n on n generators this space is just Isom(ℚ������) n , but is in general significantly more complicated. We prove that when Γ is finitely generated Abelian there is (...) a generic point in Isom(Γ, ℚ������), i.e., there is a comeagre set of mutually conjugate isometric actions of Γ on ℚ������. (shrink)

To this day, a hundred and fifty years after Mendeleev's discovery, the overal structure of the periodic system remains unaccounted for in quantum-mechanical terms. Given this dire situation, a handful of scientists in the 1970s embarked on a quest for the symmetries that lie hidden in the periodic table. Their goal was to explain the table's structure in group-theoretical terms. We argue that this symmetry program required an important paradigm shift in the understanding of the nature of chemical elements. The (...) idea, in essence, consisted of treating the chemical elements, not as particles, but as states of a superparticle. We show that the inspiration for this came from elementary particle physics, and in particular from Heisenberg's suggestion to treat the proton and neutron as different states of the nucleon. We provide a careful study of Heisenberg's last paper on the nature of elementary particles, and explain why the Democritean picture of matter no longer applied in modern physics and a Platonic symmetry-based picture was called for instead. We show how Heisenberg's Platonic philosophy came to dominate the field of elementary particle physics, and how it found its culmination point in Gell-Mann's classification of the hadrons in the eightfold way. We argue that it was the success of Heisenberg's approach in elementary particle physics that sparked the group-theoretical approach to the periodic table. We explain how it was applied to the set of chemical elements via a critical examination of the work of the Russian mathematician Abram Ilyich Fet the Turkish-American physicist Asim Orhan Barut, before giving some final reflections. (shrink)

This article examines representations of Mermaids, a charity that supports trans young people and their families, in the British press. Using corpus-assisted critical discourse analysis, we identify and chart patterns in reporting between Mermaids’ inception as a charity in 2015, and 2022, a turbulent year for both the charity and trans people in the UK more generally. The findings show that, in the early years, there is relatively little attention to Mermaids in the press. Where they are mentioned, the charity (...) is represented as a useful source of advice and support, and their service users as happy and united. However, 2018 represents a turning point, with increasingly negative and misleading portrayals of Mermaids coinciding with a rise in public interest and funding. By 2019, media interest in the charity has surged and the impression of Mermaids as a support group for families is supplanted by the image of a powerful, dangerous and controversial organisation. We argue that the increasingly excessive, negative and polarised reporting around Mermaids is a strategy for indirectly delegitimising and attacking the lives of trans young people themselves. In a burgeoning culture war, Mermaids is used as a weapon against the very people they seek to support. (shrink)

In this paper, I present an account of group competence that is explicitly framed for cases of epistemic performances. According to it, we must consider group epistemic competence as the group agents’ capacity to produce knowledge, and not the result of the summation of its individual members’ competences to produce knowledge. Additionally, I contend that group competence must be understood in terms of group normative status. To introduce my view, I present Jesper Kallestrup’s denial that group competence involves anything over (...) and beyond the aggregation of individual competences. I have divided my response into two parts. First, I compare two conceptions of competence from Ernest Sosa’s reliabilist virtue epistemology, Thinking about oneself: The place and value of reflection in philosophy and psychology, Springer, 2019) and David Löwenstein’s account of know-how. Second, I take the results from this comparison and apply them to the issue of group know-how, by the hand of Orestis Palermos and Deborah Tollefsen’s twofold approach to the topic Socially extended epistemology, Oxford University Press, 2018). Finally, I return to Kallestrup’s denial to make my point in favour of the conception of genuine group competence as the group normative status to achieve success. (shrink)

We investigate some common points between stable structures and weakly small structures and define a structureMto befineif the Cantor-Bendixson rank of the topological space${S_\varphi }\left} \right)$is an ordinal for every finite subsetAofMand every formula$\varphi \left$wherexis of arity 1. By definition, a theory isfineif all its models are so. Stable theories and small theories are fine, and weakly minimal structures are fine. For any finite subsetAof a fine groupG, the traces on the algebraic closure$acl\left$ofAof definable subgroups ofGover$acl\left$which are boolean combinations of (...) instances of an arbitrary fixed formula can decrease only finitely many times. An infinite field with a fine theory has no additive nor multiplicative proper definable subgroups of finite index, nor Artin-Schreier extensions. (shrink)