Results for ' sorted profinite groups'

983 found
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  1.  10
    The Embedding Property for Sorted Profinite Groups.L. E. E. Junguk - 2023 - Journal of Symbolic Logic 88 (3):1005-1037.
    We study the embedding property in the category of sorted profinite groups. We introduce a notion of the sorted embedding property (SEP), analogous to the embedding property for profinite groups. We show that any sorted profinite group has a universal SEP-cover. Our proof gives an alternative proof for the existence of a universal embedding cover of a profinite group. Also our proof works for any full subcategory of the sorted (...) groups, which is closed under taking finite quotients, fibre products, and inverse limits. We also show that any sorted profinite group having SEP has a sorted complete system whose theory is $\omega $ -categorical and $\omega $ -stable under the assumption that the set of sorts is countable. (shrink)
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  2.  11
    Co-theory of sorted profinite groups for PAC structures.Daniel Max Hoffmann & Junguk Lee - 2023 - Journal of Mathematical Logic 23 (3).
    We achieve several results. First, we develop a variant of the theory of absolute Galois groups in the context of many sorted structures. Second, we provide a method for coding absolute Galois groups of structures, so they can be interpreted in some monster model with an additional predicate. Third, we prove the “Weak Independence Theorem” for pseudo-algebraically closed (PAC) substructures of an ambient structure with no finite cover property (nfcp) and the property [Formula: see text]. Fourth, we (...)
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  3. Small profinite groups.Ludomir Newelski - 2001 - Journal of Symbolic Logic 66 (2):859-872.
    We propose a model-theoretic framework for investigating profinite groups. Within this framework we define and investigate small profinite groups. We consider the question if any small profinite group has an open abelian subgroup.
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  4.  25
    Effective aspects of profinite groups.Rick L. Smith - 1981 - Journal of Symbolic Logic 46 (4):851-863.
    Profinite groups are Galois groups. The effective study of infinite Galois groups was initiated by Metakides and Nerode [8] and further developed by LaRoche [5]. In this paper we study profinite groups without considering Galois extensions of fields. The Artin method of representing a finite group as a Galois group has been generalized by Waterhouse [14] to profinite groups. Thus, there is no loss of relevance in our approach.The fundamental notions of a (...)
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  5.  7
    The profinite topology of free groups and weakly generic tuples of automorphisms.Gábor Sági - 2021 - Mathematical Logic Quarterly 67 (4):432-444.
    Let be a countable first order structure and endow the universe of with the discrete topology. Then the automorphism group of becomes a topological group. A tuple of automorphisms is defined to be weakly generic iff its diagonal conjugacy class (in the algebraic sense) is dense (in the topological sense) and the ‐orbit of each is finite. Existence of tuples of weakly generic automorphisms are interesting from the point of view of model theory as well as from the point of (...)
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  6.  31
    The Profinite Hull of Special Groups and Local-Global Principles.Hugo Luiz Mariano & Francisco Miraglia - 2011 - Studia Logica 97 (1):127-160.
    We introduce the Profinite Hull functor of special groups, showing that it gives rise to a new local - global principle, the subform reflection property. We also indicate applications of this principle to the abstract algebraic theory of quadratic forms.
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  7.  20
    When are profinite many-sorted algebras retracts of ultraproducts of finite many-sorted algebras?J. Climent Vidal & E. Cosme Llópez - 2018 - Logic Journal of the IGPL 26 (4):381-407.
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  8.  27
    The Boolean and profinite hulls of reduced special groups.H. L. Mariano & F. Miraglia - 2013 - Logic Journal of the IGPL 21 (2):160-182.
  9.  13
    Profinite structures interpretable in fields.Krzysztof Krupiński - 2006 - Annals of Pure and Applied Logic 142 (1):19-54.
    We investigate profinite structures in the sense of Newelski interpretable in fields. We show that profinite structures interpretable in separably closed fields are the same as profinite structures weakly interpretable in . We also find a strong connection with the inverse Galois problem. We give field theoretic constructions of profinite structures weakly interpretable in and satisfying some model theoretic properties, like smallness, m-normality, non-triviality, being -rank 1. For example we interpret in this way the profinite (...)
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  10.  5
    Profinite Locally Finite Quasivarieties.Anvar M. Nurakunov & Marina V. Schwidefsky - forthcoming - Studia Logica:1-25.
    Let $$\textbf{K}$$ and $$\textbf{M}$$ be locally finite quasivarieties of finite type such that $$\textbf{K}\subset \textbf{M}$$. If $$\textbf{K}$$ is profinite then the filter $$[\textbf{K},\textbf{M}]$$ in the quasivariety lattice $$\textrm{Lq}(\textbf{M})$$ is an atomic lattice and $$\textbf{K}$$ has an independent quasi-equational basis relative to $$\textbf{M}$$. Applications of these results for lattices, unary algebras, groups, unary algebras, and distributive algebras are presented which concern some well-known problems on standard topological quasivarieties and other problems.
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  11.  63
    Generalizations of small profinite structures.Krzysztof Krupiński - 2010 - Journal of Symbolic Logic 75 (4):1147-1175.
    We generalize the model theory of small profinite structures developed by Newelski to the case of compact metric spaces considered together with compact groups of homeomorphisms and satisfying the existence of m-independent extensions (we call them compact e-structures). We analyze the relationships between smallness and different versions of the assumption of the existence of m-independent extensions and we obtain some topological consequences of these assumptions. Using them, we adopt Newelski's proofs of various results about small profinite structures (...)
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  12. Group Minds and Natural Kinds.Robert D. Rupert - forthcoming - Avant: Trends in Interdisciplinary Studies.
    The claim is frequently made that structured collections of individuals who are themselves subjects of mental and cognitive states – such collections as courts, countries, and corporations – can be, and often are, subjects of mental or cognitive states. And, to be clear, advocates for this so-called group-minds hypothesis intend their view to be interpreted literally, not metaphorically. The existing critical literature casts substantial doubt on this view, at least on the assumption that groups are claimed to instantiate the (...)
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  13. Group Duties Without Decision-Making Procedures.Gunnar Björnsson - 2020 - Journal of Social Ontology 6 (1):127-139.
    Stephanie Collins’ Group Duties offers interesting new arguments and brings together numerous interconnected issues that have hitherto been treated separately. My critical commentary focuses on two particularly original and central claims of the book: (1) Only groups that are united under a group-level decision-making procedure can bear duties. (2) Attributions of duties to other groups should be understood as attributions of “coordination duties” to each member of the group, duties to take steps responsive to the others with a (...)
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  14.  44
    Automorphism groups of trivial strongly minimal structures.Thomas Blossier - 2003 - Journal of Symbolic Logic 68 (2):644-668.
    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 (...) group can be realized as the stabilizer of a point in a strongly minimal structure of bounded valency. (shrink)
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  15. Social Creationism and Social Groups.Katherine Ritchie - 2018 - In Kendy Hess, Violetta Igneski & Tracy Lynn Isaacs (eds.), Collectivity: Ontology, Ethics, and Social Justice. London, UK: Rowman & Littlefield International. pp. 13-34.
    Social groups seem to be entities that are dependent on us. Given their apparent dependence, one might adopt Social Creationism—the thesis that all social groups are social objects created through (some specific types of) thoughts, intentions, agreements, habits, patterns of interaction, and practices. Here I argue that not all social groups come to be in the same way. This is due, in part, to social groups failing to share a uniform nature. I argue that some (...) (e.g., racial and gender groups) are social kinds. They either falsify Social Creationism or are created as mere byproducts of property instantiation. In contrast, I argue that other groups (e.g., teams and committees) are social objects. When restricted to groups like these, Social Creationism holds. The conclusions have more than just metaphysical import. The differences between groups and how they come to be help to explain why some groups appear to be natural, why some fail to rely on intentions, and why certain sorts of groups are widespread and persistent. (shrink)
     
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  16.  48
    The fanciest sort of intentionality: Active inference, mindshaping and linguistic content.Remi Tison - 2022 - Philosophical Psychology 35:1-41.
    In this paper, I develop an account of linguistic content based on the active inference framework. While ecological and enactive theorists have rightly rejected the notion of content as a basis for cognitive processes, they must recognize the important role that it plays in the social regulation of linguistic interaction. According to an influential theory in philosophy of language, normative inferentialism, an utterance has the content that it has in virtue of its normative status, that is, in virtue of the (...)
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  17. Group Belief: Lessons from Lies and Bullshit.I.—Jennifer Lackey - 2020 - Aristotelian Society Supplementary Volume 94 (1):185-208.
    Groups and other sorts of collective entities are frequently said to believe things. Sarah Huckabee Sanders, for instance, was asked by reporters at White House press conferences whether the Trump administration ‘believes in climate change’ or ‘believes that slavery is wrong’. Similarly, it is said on the website of the Aclu of Illinois that the organization ‘firmly believes that rights should not be limited based on a person’s sexual orientation or gender identity’. A widespread philosophical view is that belief (...)
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  18.  38
    Borel reductions of profinite actions of SL n.Samuel Coskey - 2010 - Annals of Pure and Applied Logic 161 (10):1270-1279.
    Greg Hjorth and Simon Thomas proved that the classification problem for torsion-free abelian groups of finite rank strictly increases in complexity with the rank. Subsequently, Thomas proved that the complexities of the classification problems for p-local torsion-free abelian groups of fixed rank n are pairwise incomparable as p varies. We prove that if 3≤mgroups of rank m is again incomparable with (...)
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  19. The Metaphysics of Social Groups.Katherine Ritchie - 2015 - Philosophy Compass 10 (5):310-321.
    Social groups, including racial and gender groups and teams and committees, seem to play an important role in our world. This article examines key metaphysical questions regarding groups. I examine answers to the question ‘Do groups exist?’ I argue that worries about puzzles of composition, motivations to accept methodological individualism, and a rejection of Racialism support a negative answer to the question. An affirmative answer is supported by arguments that groups are efficacious, indispensible to our (...)
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  20.  52
    Group Rationality in Scientific Research.Husain Sarkar - 2007 - New York: Cambridge University Press.
    Under what conditions is a group of scientists rational? How would rational scientists collectively agree to make their group more effective? What sorts of negotiations would occur among them and under what conditions? What effect would their final agreement have on science and society? These questions have been central to the philosophy of science for the last two decades. In this 2007 book, Husain Sarkar proposes answers to them by building on classical solutions - the skeptical view, two versions of (...)
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  21. Group Agency and Individualism.Carol Rovane - 2014 - Erkenntnis 79 (S9):1663-1684.
    Pettit and List argue for realism about group agency, while at the same time try to retain a form of metaphysical and normative individualism on which human beings qualify as natural persons. This is an unstable and untenable combination of views. A corrective is offered here, on which realism about group agency leads us to the following related conclusions: in cases of group agency, the sort of rational unity that defines individual rational unity is realized at the level of a (...)
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  22.  45
    Protecting groups from genetic research.Daniel Hausman - 2008 - Bioethics 22 (3):157–165.
    ABSTRACT Genetics research, like research in sociology and anthropology, creates risks for groups from which research subjects are drawn. This paper considers what sort of protection for groups from the risks of genetics research should be provided and by whom. The paper categorizes harms by distinguishing process‐related from outcome‐related harms and by distinguishing two kinds of group harms. It argues that calls for community engagement are justified with respect to some kinds of harms, but not with respect to (...)
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  23. The Duty to Promote Digital Minimalism in Group Agents.Timothy Aylsworth & Clinton Castro - 2024 - In Kantian Ethics and the Attention Economy: Duty and Distraction. Palgrave Macmillan.
    In this chapter, we turn our attention to the effects of the attention economy on our ability to act autonomously as a group. We begin by clarifying which sorts of groups we are concerned with, which are structured groups (groups sufficiently organized that it makes sense to attribute agency to the group itself). Drawing on recent work by Purves and Davis (2022), we describe the essential roles of trust (i.e., depending on groups to fulfill their commitments) (...)
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  24.  10
    Computable Topological Groups.K. O. H. Heer Tern, Alexander G. Melnikov & N. G. Keng Meng - forthcoming - Journal of Symbolic Logic:1-33.
    We investigate what it means for a (Hausdorff, second-countable) topological group to be computable. We compare several potential definitions based on classical notions in the literature. We relate these notions with the well-established definitions of effective presentability for discrete and profinite groups, and compare our results with similar results in computable topology.
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  25.  22
    Group Membership and Morally Risky Epistemic Conditions.Anna Moltchanova - 2008 - Social Philosophy Today 24:53-67.
    Johann Gottlieb Fichte argues that one semantic presupposition of claims about our entitlements is the idea that others are capable of autonomy. Individuals cannot demand anything from others, even submission, unless they also presuppose—although perhaps without acknowledging this to themselves—that others are free agents. Thus, the autonomy of others is a pre-condition of our exercise of autonomy. Why do individuals and groups often try to justify their own entitlement to rights at the expense of the freedom of others, thereby (...)
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  26.  1
    Group Membership and Morally Risky Epistemic Conditions.Anna Moltchanova - 2008 - Social Philosophy Today 24:53-67.
    Johann Gottlieb Fichte argues that one semantic presupposition of claims about our entitlements is the idea that others are capable of autonomy. Individuals cannot demand anything from others, even submission, unless they also presuppose—although perhaps without acknowledging this to themselves—that others are free agents. Thus, the autonomy of others is a pre-condition of our exercise of autonomy. Why do individuals and groups often try to justify their own entitlement to rights at the expense of the freedom of others, thereby (...)
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  27.  55
    Sort out your neighbourhood: Public good games on dynamic networks.Kai P. Spiekermann - 2009 - Synthese 168 (2):273 - 294.
    Axelrod (The evolution of cooperation, 1984) and others explain how cooperation can emerge in repeated 2-person prisoner’s dilemmas. But in public good games with anonymous contributions, we expect a breakdown of cooperation because direct reciprocity fails. However, if agents are situated in a social network determining which agents interact, and if they can influence the network, then cooperation can be a viable strategy. Social networks are modelled as graphs. Agents play public good games with their neighbours. After each game, they (...)
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  28.  4
    Sorting gender out in a children's museum.Eleanor W. Herzog & Zella Luria - 1991 - Gender and Society 5 (2):224-232.
    Psychologists believe grade schoolers' free play in the United States is universally biased toward single-gender groups. In a study of grade schoolers in a children's museum, already-acquainted kindergartners to sixth graders were observed at three exhibits. While boys chose more automobile play and girls more supermarketing, one-quarter of each group played in settings dominated by the other gender. Boys had no group-size preference; girls had a strong preference for small groups. That preference accounts for most of the gender (...)
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  29.  57
    A semantics for groups and events.Peter Lasersohn - 1990 - New York: Garland.
    This dissertation provides a model-theoretic semantics for English sentences atttributing a property or action to a group of objects, either collectively or distributively. It is shown that certain adverbial expressions select for collective predicates; therefore collective and distibutive predicates must be distinguishable. This finding is problematic for recent accounts of distributive predicates which analyze such predicates as taking group-level arguments, and hence as not distinguishable from collective predicates. ;A group-level treatment of distributives is possible, however, if predicate denotations are relativized (...)
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  30.  85
    What Sort of Culture Are Computers and the Network Creating?Hu Yong - 2003 - Contemporary Chinese Thought 35 (2):34-50.
    I first got on the network in 1995, and belonged to a fairly early group of people in China who were doing that. Those on the network tend to treat it as a special field, but in fact, it is extremely valuable to have outsiders poke their noses into such specialized areas and express their unsophisticated, yet estimable, points of view. Indeed, the outsiders will often see right through things and pick up things that the experts have overlooked. I hope (...)
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  31.  9
    The sorts of justice in the Kallípolis.José Wilson da Silva - 2009 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 2:39-45.
    Our interest, in this paper, concern the sorts of justice founded in the Republic of Plato. Therefore, I will take the reflections of Sachs and Vlastos about this topic. We assert, to the contrary of these searchers, that exist five principal forms in this work, namely: the justice in the elements of the soul; in the private relationships, governed by morality's standart precepts; in the public relationships, group that practise the maxim of doing its own in the polis; in the (...)
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  32. A Colour Sorting Task Reveals the Limits of the Universalist/Relativist Dichotomy: Colour Categories Can Be Both Language Specific and Perceptual.Nicolas Claidière, Yasmina Jraissati & Coralie Chevallier - 2008 - Journal of Cognition and Culture 8 (3-4):211-233.
    We designed a new protocol requiring French adult participants to group a large number of Munsell colour chips into three or four groups. On one, relativist, view, participants would be expected to rely on their colour lexicon in such a task. In this framework, the resulting groups should be more similar to French colour categories than to other languages categories. On another, universalist, view, participants would be expected to rely on universal features of perception. In this second framework, (...)
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  33.  89
    Is group agency a social phenomenon?Carol Rovane - 2019 - Synthese 196 (12):4869-4898.
    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 (...)
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  34.  19
    Special Groups Whose Isometry Relation Is a Finite Union of Cosets.Vincent Astier - 2008 - Journal of Symbolic Logic 73 (2):448 - 473.
    N₀-stable N₀-categorical linked quaternionic mappings are studied and are shown to correspond (in some sense) to special groups which are N₀-stable. N₀-categorical, satisfy AP(3) and have finite 2-symbol length. They are also related to special groups whose isometry relation is a finite union of cosets, which are then considered on their own, as well as their links with pseudofinite, profinite and weakly normal special groups.
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  35.  45
    Consequentialism, group acts, and trolleys.Joseph Mendola - 2005 - Pacific Philosophical Quarterly 86 (1):64–87.
    Its relentless pursuit of the good provides act-consequentialism with one sort of intuitive ethical rationale. But more indirect forms of consequentialism promise more intuitive normative implications, for instance the evil of even beneficent murders. I favor a middle way which combines the intuitive rationale of act-consequentialism and the intuitive normative implications of the best indirect forms. Multiple-Act Consequentialism or ‘MAC’ requires direct consequentialist evaluation of the options of group agents. It holds that one should only defect from a group act (...)
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  36.  4
    Résister: individus et groupes sociaux face aux logiques des pouvoirs.Nicolas Berjoan (ed.) - 2017 - Aix-en-Provence: Presses universitaires de Provence.
    Résister n'est pas seulement, pour les individus, un acte exceptionnel réservé aux temps de tragédies. Et, s'il peut prendre une tournure plus nettement politique, plus clairement dissidente, dans ces moments de crises sociales, il n'en existe pas moins une foule de menues résistances quotidiennes à l'ordre du monde. Résistances politiques, résistances du quotidien, ce livre n'a pas voulu choisir entre les unes et les autres. Les frontières peuvent être floues, quand on y regarde de prêt, entre les engagements suscités par (...)
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  37.  44
    A colour sorting task reveals the limits of the Universalist/Relativist dichotomy.Nicolas Claidière, Yasmina Jraissati & Coralie Chevallier - 2008 - Journal of Culture and Cognition 8:211-233.
    We designed a new protocol requiring French adult participants to group a large number of Munsell colour chips into three or four groups. On one, relativist, view, participants would be expected to rely on their colour lexicon in such a task. In this [ramework, the resulting groups should be more similar to French colour categories than to other languages categories. On another, universalist, view, participants would be expected to rely on universal features of perception. In this second framework, (...)
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  38. Propaganda, Irrationality, and Group Agency.Megan Hyska - 2021 - In Michael Hannon & Jeroen de Ridder (eds.), The Routledge Handbook of Political Epistemology. New York: Routledge. pp. 226-235.
    I argue that propaganda does not characteristically interfere with individual rationality, but instead with group agency. Whereas it is often claimed that propaganda involves some sort of incitement to irrationality, I show that this is neither necessary nor sufficient for a case’s being one or propaganda. For instance, some propaganda constitutes evidence of the speaker’s power, or else of the risk and futility of opposing them, and there is nothing irrational about taking such evidence seriously. I outline an alternative account (...)
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  39.  16
    What sort of bioethical values are the evidence-based medicine and the GRADE approaches willing to deal with?Joseph Watine - 2011 - Journal of Medical Ethics 37 (3):184-186.
    The concept of evidence-based medicine (EBM) has been invented by physicians mostly from English Canada, mostly from McMaster University, Ontario, Canada. The term EBM first appeared in the biomedical literature in 1991 in an article written by a prominent member of this group—Gordon Guyatt from McMaster University. The inventors of EBM have also created the Grading of Recommendations, Assessment, Development and Evaluations (GRADE) working group, which is a prominent international organisation whose main purpose is to develop evidence-based clinical practice guidelines (...)
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  40.  35
    Finitely approximable groups and actions Part I: The Ribes—Zaluesskiĭ property.Christian Rosendal - 2011 - Journal of Symbolic Logic 76 (4):1297-1306.
    We investigate extensions of S. Solecki's theorem on closing off finite partial isometries of metric spaces [11] and obtain the following exact equivalence: any action of a discrete group Γ by isometries of a metric space is finitely approximable if and only if any product of finitely generated subgroups of Γ is closed in the profinite topology on Γ.
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  41. Joint actions and group agents.Philip Pettit & David Schweikard - 2006 - Philosophy of the Social Sciences 36 (1):18-39.
    University of Cologne, Germany Joint action and group agency have emerged as focuses of attention in recent social theory and philosophy but they have rarely been connected with one another. The argument of this article is that whereas joint action involves people acting together to achieve any sort of result, group agency requires them to act together for the achievement of one result in particular: the construction of a centre of attitude and agency that satisfies the usual constraints of consistency (...)
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  42. Groups, sets, and wholes.Barry Smith - 2003 - Rivista di Estetica 43 (24):126-127.
    As he recalls in his book Naive Physics, Paolo Bozzi’s experiments on naïve or phenomenological physics were partly inspired by Aristotle’s spokesman Simplicio in Galileo’s Dialogue. Aristotle’s ‘naïve’ views of physical reality reflect the ways in which we are disposed perceptually to organize the physical reality we see. In what follows I want to apply this idea to the notion of a group, a term which I shall apply as an umbrella expression embracing ordinary visible collections (of pieces of fruit (...)
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  43.  89
    Pride, Shame, and Group Identification.Alessandro Salice & Alba Montes Sánchez - 2016 - Frontiers in Psychology 7.
    Self-conscious emotions such as shame and pride are emotions that typically focus on the self of the person who feels them. In other words, the intentional object of these emotions is assumed to be the subject that experiences them. Many reasons speak in its favor and yet this account seems to leave a question open: how to cash out those cases in which one genuinely feels ashamed or proud of what someone else does? This paper contends that such cases do (...)
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  44.  27
    Group epistemic value.Jeffrey Dunn - 2021 - Philosophical Studies 179 (1):65-92.
    Sometimes we are interested in how groups are doing epistemically in aggregate. For instance, we may want to know the epistemic impact of a change in school curriculum or the epistemic impact of abolishing peer review in the sciences. Being able to say something about how groups are doing epistemically is especially important if one is interested in pursuing a consequentialist approach to social epistemology of the sort championed by Goldman. According to this approach we evaluate social practices (...)
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  45. Indispensability, the Discursive Dilemma, and Groups with Minds of Their Own.Abraham Sesshu Roth - 2014 - In Sara Rachel Chant, Frank Hindriks & Gerhard Preyer (eds.), From Individual to Collective Intentionality. Oxford University Press. pp. 137-162.
    There is a way of talking that would appear to involve ascriptions of purpose, goal directed activity, and intentional states to groups. Cases are familiar enough: classmates intend to vacation in Switzerland, the department is searching for a metaphysician, the Democrats want to minimize losses in the upcoming elections, and the US intends to improve relations with such and such country. But is this talk to be understood just in terms of the attitudes and actions of the individuals involved? (...)
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  46.  27
    Group Rights: A Defense.David Ingram - unknown
    Human rights belong to individuals in virtue of their common humanity. Yet it is an important question whether human rights entail or comport with the possession of what I call group-specific rights, or rights that individuals possess only because they belong to a particular group. The Universal Declaration of Human Rights says they do. Article 15 asserts the right to nationality, or citizenship. Unless one believes that the only citizenship compatible with a universal human rights regime is cosmopolitan citizenship in (...)
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  47.  6
    Topological dynamics of stable groups.Ludomir Newelski - 2014 - Journal of Symbolic Logic 79 (4):1199-1223.
    AssumeGis a group definable in a modelMof a stable theoryT. We prove that the semigroupSG of completeG-types overMis an inverse limit of some semigroups type-definable inMeq. We prove that the maximal subgroups ofSG are inverse limits of some definable quotients of subgroups ofG. We consider the powers of types in the semigroupSG and prove that in a way every type inSG is profinitely many steps away from a type in a subgroup ofSG.
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  48. G-compactness and groups.Jakub Gismatullin & Ludomir Newelski - 2008 - Archive for Mathematical Logic 47 (5):479-501.
    Lascar described E KP as a composition of E L and the topological closure of E L (Casanovas et al. in J Math Log 1(2):305–319). We generalize this result to some other pairs of equivalence relations. Motivated by an attempt to construct a new example of a non-G-compact theory, we consider the following example. Assume G is a group definable in a structure M. We define a structure M′ consisting of M and X as two sorts, where X is an (...)
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  49.  26
    On relationships between algebraic properties of groups and rings in some model-theoretic contexts.Krzysztof Krupiński - 2011 - Journal of Symbolic Logic 76 (4):1403-1417.
    We study relationships between certain algebraic properties of groups and rings definable in a first order structure or *-closed in a compact G-space. As a consequence, we obtain a few structural results about ω-categorical rings as well as about small, nm-stable compact G-rings, and we also obtain surprising relationships between some conjectures concerning small profinite groups.
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  50.  23
    Down with this sort of thing: why no public statue should stand forever.Carl Fox - forthcoming - Critical Review of International Social and Political Philosophy.
    No statue raised in a public place should stand there indefinitely. Any such monument should have a set date when it is due to be replaced. I make three arguments to support this principle of non-permanence for public commemorative art. First, the opportunity cost of permanent statues is too high. States have a duty, grounded in their need for legitimacy, to support and cultivate democratic values. Public art is a powerful tool that is being drastically underemployed because existing statues are (...)
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