Results for ' difference hierarchy'

986 found
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  1.  50
    Relative enumerability in the difference hierarchy.Marat Arslanov, Geoffrey Laforte & Theodore Slaman - 1998 - Journal of Symbolic Logic 63 (2):411-420.
    We show that the intersection of the class of 2-REA degrees with that of the ω-r.e. degrees consists precisely of the class of d.r.e. degrees. We also include some applications and show that there is no natural generalization of this result to higher levels of the REA hierarchy.
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  2.  37
    Determinacy in the difference hierarchy of co-analytic sets.P. D. Welch - 1996 - Annals of Pure and Applied Logic 80 (1):69-108.
  3.  47
    Bounded query classes and the difference hierarchy.Richard Beigel, William I. Gasarch & Louise Hay - 1989 - Archive for Mathematical Logic 29 (2):69-84.
    LetA be any nonrecursive set. We define a hierarchy of sets (and a corresponding hierarchy of degrees) that are reducible toA based on bounding the number of queries toA that an oracle machine can make. WhenA is the halting problemK our hierarchy of sets interleaves with the difference hierarchy on the r.e. sets in a logarithmic way; this follows from a tradeoff between the number of parallel queries and the number of serial queries needed to (...)
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  4.  40
    The Equivalence of Different Hierarchies of Elementary Functions.G. T. Herman - 1971 - Mathematical Logic Quarterly 17 (1):219-224.
  5.  43
    Equivalence structures and isomorphisms in the difference hierarchy.Douglas Cenzer, Geoffrey LaForte & Jeffrey Remmel - 2009 - Journal of Symbolic Logic 74 (2):535-556.
    We examine the effective categoricity of equivalence structures via Ershov's difference hierarchy. We explore various kinds of categoricity available by distinguishing three different notions of isomorphism available in this hierarchy. We prove several results relating our notions of categoricity to computable equivalence relations: for example, we show that, for such relations, computable categoricity is equivalent to our notion of weak ω-c.e. categoricity, and that $\Delta _2^0 $ -categoricity is equivalent to our notion of graph-ω-c.e. categoricity.
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  6.  27
    Complementing cappable degrees in the difference hierarchy.Rod Downey, Angsheng Li & Guohua Wu - 2004 - Annals of Pure and Applied Logic 125 (1-3):101-118.
    We prove that for any computably enumerable degree c, if it is cappable in the computably enumerable degrees, then there is a d.c.e. degree d such that c d = 0′ and c ∩ d = 0. Consequently, a computably enumerable degree is cappable if and only if it can be complemented by a nonzero d.c.e. degree. This gives a new characterization of the cappable degrees.
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  7.  33
    The existence of high nonbounding degrees in the difference hierarchy.Chi Tat Chong, Angsheng Li & Yue Yang - 2006 - Annals of Pure and Applied Logic 138 (1):31-51.
    We study the jump hierarchy of d.c.e. Turing degrees and show that there exists a high d.c.e. degree d which does not bound any minimal pair of d.c.e. degrees.
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  8.  29
    Determinacy of refinements to the difference hierarchy of co-analytic sets.Chris Le Sueur - 2018 - Annals of Pure and Applied Logic 169 (1):83-115.
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  9. Beyond hierarchy? The prospects of a different form of reason.Bert Olivier - 1996 - South African Journal of Philosophy 15 (2):41-50.
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  10.  29
    Hierarchies in φ‐spaces and applications.Victor L. Selivanov - 2005 - Mathematical Logic Quarterly 51 (1):45-61.
    We establish some results on the Borel and difference hierarchies in φ-spaces. Such spaces are the topological counterpart of the algebraic directed-complete partial orderings. E.g., we prove analogs of the Hausdorff Theorem relating the difference and Borel hierarchies and of the Lavrentyev Theorem on the non-collapse of the difference hierarchy. Some of our results generalize results of A. Tang for the space Pω. We also sketch some older applications of these hierarchies and present a new application (...)
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  11.  84
    Hierarchies of Δ 0 2 ‐measurable k‐partitions.Victor L. Selivanov - 2007 - Mathematical Logic Quarterly 53 (4-5):446-461.
    Attempts to extend the classical Hausdorff difference hierarchy to the case of partitions of a space to k > 2 subsets lead to non‐equivalent notions. In a hope to identify the “right” extension we consider the extensions appeared in the literature so far: the limit‐, level‐, Boolean and Wadge hierarchies of k ‐partitions. The advantages and disadvantages of the four hierarchies are discussed. The main technical contribution of this paper is a complete characterization of the Wadge degrees of (...)
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  12.  52
    Richard Beigel, William I. Gasarch, and Louise Hay. Bounded query classes and the difference hierarchy. Archive for mathematical logic, vol. 29 no. 2 , pp. 69–84. [REVIEW]Melven Krom - 1993 - Journal of Symbolic Logic 58 (1):359-360.
  13.  14
    Self-Hierarchy in Perceptual Matching: Variations in Different Processing Stages.Yingcan Zheng, Zilun Xiao, Yong Liu & Xin Zhou - 2022 - Frontiers in Psychology 13.
    People have three cognitive representations of the self, namely, the individual, relational, and collective selves, which are indispensable components of selfhood but not necessarily given equal preference. Previous studies found that people displayed varied self-hierarchy in miscellaneous tasks involving different research materials that had pre-existing learned associations established over long periods of time. Therefore, this study tries to explore a purer self-hierarchy without the influence of research materials, using perceptual matching tasks. The behavioral and event-related potentials’ findings showed (...)
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  14.  19
    Wadge hierarchy of differences of co-analytic sets.Kevin Fournier - 2016 - Journal of Symbolic Logic 81 (1):201-215.
  15.  52
    The Hausdorff-Ershov Hierarchy in Euclidean Spaces.Armin Hemmerling - 2006 - Archive for Mathematical Logic 45 (3):323-350.
    The topological arithmetical hierarchy is the effective version of the Borel hierarchy. Its class Δta 2 is just large enough to include several types of pointsets in Euclidean spaces ℝ k which are fundamental in computable analysis. As a crossbreed of Hausdorff's difference hierarchy in the Borel class ΔB 2 and Ershov's hierarchy in the class Δ0 2 of the arithmetical hierarchy, the Hausdorff-Ershov hierarchy introduced in this paper gives a powerful classification within (...)
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  16.  28
    A constraint hierarchy approach to the different.Dimitrios Ntelitheos - manuscript
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  17.  43
    Sexual difference and trinitarian death: Cross, kenosis, and hierarchy in the theo‐drama.Linn Marie Tonstad - 2010 - Modern Theology 26 (4):603-631.
  18.  31
    Hierarchy and heterarchy in (impact) finance: an ontological analysis.Noriaki Okamoto - 2023 - Rivista di Estetica 84:75-88.
    Although finance is ubiquitous in modern life, its ontological foundation is rarely discussed. This essay considers some key characteristics of finance from a social ontological perspective. It initially argues that money requires some sort of representation, and that financial institutions rely on various forms of cognition as well as documents anchoring representations. From that standpoint, one of the crucial aspects of finance is that it provides reference points through the process of quantification. These reference points are numerical representations that allow (...)
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  19.  99
    Ethical values of individuals at different levels in the organizational hierarchy of a single firm.James R. Harris - 1990 - Journal of Business Ethics 9 (9):741 - 750.
    This study examines the ethical values of respondents by level in the organizational hierarchy of a single firm. It also explores the possible impacts of gender, education and years of experience on respondents' values as well as their perceptions of how the organization and professional associations influence their personal values. Results showed that, although there were differences in individuals' ethical values by hierarchical level, significantly more differences were observed by the length of tenure with the organization. While respondents, as (...)
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  20.  21
    Examining the differences between information professional groups in perceiving information ethics: An analytic hierarchy process study.Hsiu-Ping Yueh, Ching-Yin Huang & Weijane Lin - 2022 - Frontiers in Psychology 13.
    Information and communication technology has a great impact on contemporary society and people’s lives. Especially with the pervasive access to rapidly developing technology, the impact of ICT on society and human values, the norms of ICT use, and the ethical issues derived from them are beyond the past ethical framework and deserve more research attention. The purpose of this study was to explore the key factors that influence the decision-making behaviors of information professionals when they are faced with information ethics (...)
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  21. Hierarchies of Ethical Principles for Ethical Decision Making in Social Work.Donna Harrington & Ralph Dolgoff - 2008 - Ethics and Social Welfare 2 (2):183-196.
    Social workers frequently encounter ethical dilemmas in their daily practice. This paper examines the utility of hierarchies of ethical principles as tools for ethical decision making. Because of limited research on this topic, the degree of agreement on ordering of ethical principles is unknown. This paper presents illustrative data that suggest variability in individual hierarchies and priorities, which may depend on the circumstances of a situation. Recommendations for using hierarchies of ethical principles in social work education and practice are discussed (...)
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  22. Hierarchies, Networks, and Causality: The Applied Evolutionary Epistemological Approach.Nathalie Gontier - 2021 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 52 (2):313-334.
    Applied Evolutionary Epistemology is a scientific-philosophical theory that defines evolution as the set of phenomena whereby units evolve at levels of ontological hierarchies by mechanisms and processes. This theory also provides a methodology to study evolution, namely, studying evolution involves identifying the units that evolve, the levels at which they evolve, and the mechanisms and processes whereby they evolve. Identifying units and levels of evolution in turn requires the development of ontological hierarchy theories, and examining mechanisms and processes necessitates (...)
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  23.  52
    On Σ₁-Structural Differences among Finite Levels of the Ershov Hierarchy.Yue Yang & Liang Yu - 2006 - Journal of Symbolic Logic 71 (4):1223 - 1236.
    We show that the structure R of recursively enumerable degrees is not a Σ₁-elementary substructure of Dn, where Dn (n > 1) is the structure of n-r.e. degrees in the Ershov hierarchy.
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  24.  35
    Dare to be different? Investigating the relationship between analyst categorisation hierarchies and corporate social responsibility (CSR) conformity.Xin Pan, Xuanjin Chen, Mengxi Yang & Xin Chen - 2019 - Business Ethics: A European Review 29 (1):56-69.
    Business Ethics: A European Review, EarlyView.
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  25.  41
    Individuality and hierarchy in Cicero’s De Officiis.Michael C. Hawley - 2020 - European Journal of Political Theory 19 (1):87-105.
    This essay explores a creative argument that Cicero offers to answer a fundamental question: how are we to judge among different ways of life? Is there a natural hierarchy of human types? In response to this problem, Cicero gives an account of a person’s possessing two natures. All of us participate in a general human nature, the characteristics of which provide us with certain universal duties and a natural moral hierarchy. But, we also each possess an individual nature, (...)
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  26.  34
    Hierarchies of action: a concept for library and information science.B. Jones - unknown
    Purpose : The purpose of this paper is to bring the concept of a 'hierarchy of action', as it is currently being used in other fields, into library and information science . Design/methodology/approach Hierarchy theory is adopted to describe three hierarchies of action, which include the human processes of semantic and social innovation, as well as a system of biological interpretence, from which human processes are thought to have evolved as a development of biosemiosis in nature. By way (...)
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  27.  99
    P-hierarchy on β ω.Andrzej Starosolski - 2008 - Journal of Symbolic Logic 73 (4):1202-1214.
    We classify ultrafilters on ω with respect to sequential contours (see [4].[5]) of different ranks. In this way we obtain an ω1 sequence {Pα}1≤α≤ω1 of disjoint classes. We prove that non-emptiness of Pα for successor α ≥ 2 is equivalent to the existence of P-point. We investigate relations between P-hierarchy and ordinal ultrafilters (introduced by J. E. Baumgartner in [1]), we prove that it is relatively consistent with ZFC that the successor classes (for α ≥ 2) of P-hierarchy (...)
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  28. Hierarchies of modal and temporal logics with reference pointers.Valentin Goranko - 1996 - Journal of Logic, Language and Information 5 (1):1-24.
    We introduce and study hierarchies of extensions of the propositional modal and temporal languages with pairs of new syntactic devices: point of reference-reference pointer which enable semantic references to be made within a formula. We propose three different but equivalent semantics for the extended languages, discuss and compare their expressiveness. The languages with reference pointers are shown to have great expressive power (especially when their frugal syntax is taken into account), perspicuous semantics, and simple deductive systems. For instance, Kamp's and (...)
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  29.  21
    Elemental Difference and the Climate of the Body.Emily Anne Parker - 2021 - New York: Oxford University Press.
    "Political hierarchies and ecological crises are often considered to be two different problems. For example, many speak in the present of parallel concerns : climate change and racial injustice. Parker argues rather that these concerns share a common cause in the polis. Polis is an ancient Greek term for the city-state, from which the English term political derives. But polis is more than a term. It is a philosophy according to which there is one complete human body, and that body (...)
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  30. Hierarchy Theory of Evolution and the Extended Evolutionary Synthesis: Some Epistemic Bridges, Some Conceptual Rifts.Alejandro Fábregas-Tejeda & Francisco Vergara-Silva - 2018 - Evolutionary Biology 45 (2):127-139.
    Contemporary evolutionary biology comprises a plural landscape of multiple co-existent conceptual frameworks and strenuous voices that disagree on the nature and scope of evolutionary theory. Since the mid-eighties, some of these conceptual frameworks have denounced the ontologies of the Modern Synthesis and of the updated Standard Theory of Evolution as unfinished or even flawed. In this paper, we analyze and compare two of those conceptual frameworks, namely Niles Eldredge’s Hierarchy Theory of Evolution (with its extended ontology of evolutionary entities) (...)
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  31.  36
    Hierarchies based on objects of finite type.Thomas J. Grilliot - 1969 - Journal of Symbolic Logic 34 (2):177-182.
    Shoenfield [8] has shown that a hierarchy for the functions recursive in a type-2 object can be set up whenever E2 (the type-2 object that introduces numerical quantification) is recursive in that type-2 object. With a restriction that we will discuss in the next paragraph, Moschovakis [4, pp. 254–259] has solved the analogous problem for type-3 objects. His method seems to generalize for any type-n object, where n ≥ 2. We will solve this same problem of finding hierarchies based (...)
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  32. HIERARCHIES, JOBS, BODIES:: A Theory of Gendered Organizations.Joan Acker - 1990 - Gender and Society 4 (2):139-158.
    In spite of feminist recognition that hierarchical organizations are an important location of male dominance, most feminists writing about organizations assume that organizational structure is gender neutral. This article argues that organizational structure is not gender neutral; on the contrary, assumptions about gender underlie the documents and contracts used to construct organizations and to provide the commonsense ground for theorizing about them. Their gendered nature is partly masked through obscuring the embodied nature of work.jobs and hierarchies, common concepts in organizational (...)
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  33.  13
    Regular Tree Languages in the First Two Levels of the Borel Hierarchy.Filippo Cavallari - 2019 - Bulletin of Symbolic Logic 25 (2):221-222.
    The thesis focuses on a quite recent research field lying in between Descriptive Set Theory and Automata Theory (for infinite objects). In both areas, one is often concerned with subsets of the Cantor space or of its homeomorphic copies. In Descriptive Set Theory, such subsets are usually stratified in topological hierarchies, like the Borel hierarchy, the Wadge hierarchy and the difference hierarchy; in Automata Theory, such sets are studied in terms of regularity, that is, the property (...)
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  34. Hierarchies, similarity, and interactivity in object recognition: “Category-specific” neuropsychological deficits.Glyn W. Humphreys & Emer M. E. Forde - 2001 - Behavioral and Brain Sciences 24 (3):453-476.
    Category-specific impairments of object recognition and naming are among the most intriguing disorders in neuropsychology, affecting the retrieval of knowledge about either living or nonliving things. They can give us insight into the nature of our representations of objects: Have we evolved different neural systems for recognizing different categories of object? What kinds of knowledge are important for recognizing particular objects? How does visual similarity within a category influence object recognition and representation? What is the nature of our semantic knowledge (...)
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  35.  68
    Just Hierarchy: Why Social Hierarchies Matter in China and the Rest of the World.Daniel A. Bell - 2020 - Princeton University Press.
    A trenchant defense of hierarchy in different spheres of our lives, from the personal to the political All complex and large-scale societies are organized along certain hierarchies, but the concept of hierarchy has become almost taboo in the modern world. Just Hierarchy contends that this stigma is a mistake. In fact, as Daniel Bell and Wang Pei show, it is neither possible nor advisable to do away with social hierarchies. Drawing their arguments from Chinese thought and culture (...)
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  36.  66
    Hierarchy of Beings and Equality of Men and Women in Catharine Trotter Cockburn’s Philosophy.Sofia Calvente - 2025 - Lo Sguardo 38 (1):145-162.
    In the early modern period the chain of being thesis was used by naturalists and philosophers to justify female subordination. My aim is to establish whether Catharine Trotter Cockburn's endorsement of this thesis entails that differences between sexes assigns differentiating places in the scale or not. I will review Locke’s formulation of the ontological scale first, because Cockburn refers to his description. Locke’s skepticism regarding our access to the real essence of substances hinders him from drawing unequivocal boundaries between species (...)
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  37.  5
    The Hierarchy of Truths in the Catechism.Avery Dulles - 1994 - The Thomist 58 (3):369-388.
    In lieu of an abstract, here is a brief excerpt of the content:THE HIERARCHY OF TRUTHS IN THE CATECHISM AVERY DULLES, S.J. Fordham University Bronx, New Yark IN ORDER to throw light on the question of the hierarchy of truths in The Catechism of the Catholic Church, the topic here being addressed, it may be best to move by stages. I shall begin by saying something about the nature and purpose of the Catechism, then turn to the meaning (...)
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  38.  86
    Equality, hierarchy, and global justice.James M. Buchanan - 2006 - Social Philosophy and Policy 23 (1):255-265.
    Western liberal societies are described by a mix of two contrasting ethical presuppositions, that which commences from a perspective that views persons as natural equals and that which commences from a perspective that classifies persons hierarchically. Differences in this mix among separate polities may create difficulties as principles of justice are extended across national boundaries in response to continuing globalization.
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  39.  56
    Hierarchy disruption: Women and men.János M. Réthelyi & Mária S. Kopp - 2004 - Behavioral and Brain Sciences 27 (2):305-307.
    The application of evolutionary perspectives to analyzing sex differences in aggressive behavior and dominance hierarchies has been found useful in multiple areas. We draw attention to the parallel of gender differences in the worsening health status of restructuring societies. Drastic socio-economic changes are interpreted as examples of hierarchy disruption, having differential psychological and behavioral impact on women and men, and leading to different changes in health status.
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  40. Hierarchies and levels of reality.Alexander Rueger & Patrick Mcgivern - 2010 - Synthese 176 (3):379-397.
    We examine some assumptions about the nature of 'levels of reality' in the light of examples drawn from physics. Three central assumptions of the standard view of such levels (for instance, Oppenheim and Putnam 1958) are (i) that levels are populated by entities of varying complexity, (ii) that there is a unique hierarchy of levels, ranging from the very small to the very large, and (iii) that the inhabitants of adjacent levels are related by the parthood relation. Using examples (...)
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  41. Fine hierarchies and Boolean terms.V. L. Selivanov - 1995 - Journal of Symbolic Logic 60 (1):289-317.
    We consider fine hierarchies in recursion theory, descriptive set theory, logic and complexity theory. The main results state that the sets of values of different Boolean terms coincide with the levels of suitable fine hierarchies. This gives new short descriptions of these hierarchies and shows that collections of sets of values of Boolean terms are almost well ordered by inclusion. For the sake of completeness we mention also some earlier results demonstrating the usefulness of fine hierarchies.
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  42. Evolving Concepts of 'Hierarchy' in Systems Neuroscience.Philipp Haueis & Daniel Burnston - 2020 - In Fabrizio Calzavarini & Marco Viola, Neural Mechanisms: New Challenges in the Philosophy of Neuroscience. Springer.
    The notion of “hierarchy” is one of the most commonly posited organizational principles in systems neuroscience. To this date, however, it has received little philosophical analysis. This is unfortunate, because the general concept of hierarchy ranges over two approaches with distinct empirical commitments, and whose conceptual relations remain unclear. We call the first approach the “representational hierarchy” view, which posits that an anatomical hierarchy of feed-forward, feed-back, and lateral connections underlies a signal processing hierarchy of (...)
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  43.  82
    Hierarchy, causation and explanation: ubiquity, locality, and pluralism.Alan C. Love - 2012 - Interface Focus 2 (1):115–125..
    The ubiquity of top-down causal explanations within and across the sciences is prima facie evidence for the existence of top-down causation. Much debate has been focused on whether top-down causation is coherent or in conflict with reductionism. Less attention has been given to the question of whether these representations of hierarchical relations pick out a single, common hierarchy. A negative answer to this question undermines a commonplace view that the world is divided into stratified ‘levels’ of organization and suggests (...)
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  44. Hierarchy and Power in the History of Civilizations: Cultural Dimensions.Leonid Grinin & Andrey Korotayev (eds.) - 2009 - Moscow: KRASAND.
    The human history has evidenced various systems of hierarchy and power, various manifestations of power and hierarchy relations in different spheres of social life from politics to information networks, from culture to sexual life. A careful study of each particular case of such relations is very important, es-pecially within the context of contemporary multipolar and multicultural world. In the meantime it is very important to see both the general features typical for all or most of the hierarchy (...)
     
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  45. Hierarchy and Power in the History of Civilisations: Political Aspects of Modernity.Leonid Grinin, Dmitry Beliaev & Andrey Korotayev (eds.) - 2008 - Librocom.
    The human history has evidenced a great number of systems of hierarchy and power, various manifestations of power and hierarchy relations in different spheres of social life from politics to information networks, from culture to sexual life. A careful study of each particular case of such relations is very im-portant, especially within the context of contemporary multipolar and multicultural world. In the meantime it is very important to see both the general features, typical for all or most of (...)
     
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  46.  61
    The Role of Dominance Hierarchy in the Evolution of Social Species.Mahdi Muhammad Moosa & S. M. Minhaz Ud-Dean - 2011 - Journal for the Theory of Social Behaviour 41 (2):203-208.
    A number of animal species from different lineages live socially. One of the features of social living is the formation of dominance hierarchy. Despite its obvious benefit in the survival probability of the species, the hierarchical structureitself poses psychological and physiological burden leading to the chronic activation of stress related pathways. Considering these apparently conflicting observations, here we propose that social hierarchy can act as a selective force in the evolution of social species. We also discuss its role (...)
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  47. Hierarchy in Society, and What About Nature?Alžbeta Kuchtová - 2023 - Filozofia 78 (7):578-586.
    The paper examines the book Martin Buber’s Theopolitics and analyzes the conflict between the hierarchy in nature and in human society. Buber qualifies our relations to nature and to other non-living objects as darker than human relations. This creates an imbalance between the human You and the other type of You. This reflection allows us to think about the meaning of the principle of humanity in relation to personhood, and in relation to different forms of communities (natural, or inorganic (...)
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  48.  17
    Arguing within an institutional hierarchy: how argumentative talk and interlocutors’ embodied practices preserve a superior—subordinate relationship.Einav Argaman - 2009 - Discourse Studies 11 (5):515-541.
    This article studies an argument that took place in an institutional setting and specifies six functions of talk and embodied practices employed in an argument between a superior and her subordinate. The article shows how certain argumentative conducts and their subsequent responses preserve the institutional hierarchical relationship. The article’s final section considers three resultant issues: 1) argumentative practices and their relation to various institutional hierarchies; 2) argumentative practices between people holding different versus similar hierarchical positions; and 3) the extent to (...)
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  49.  47
    Hierarchy of scientific consensus and the flow of dissensus over time.Kyung-Man Kim - 1996 - Philosophy of the Social Sciences 26 (1):3-25.
    During the last few years, several sociological accounts of scientific consensus appeared in which a radically skeptical view of cognitive consensus in science was advocated. Challenging the traditional realist conception of scientific consensus as a sui generis social fact, the radical skeptics claim to have shown that the traditional historical sociologist's supposedly definitive account of scientific consensus is only a linguistic chimera that easily can be deconstructed by the application of different interpretive schema to the given data. I will argue (...)
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  50.  17
    Hormonal Hierarchy: Hysterectomy and Stratified Stigma.Jean Elson - 2003 - Gender and Society 17 (5):750-770.
    Gynecological surgery prompts women to consider the meanings of their uteruses and ovaries, generally taken for granted as “natural” components of female bodies. Analysis of 44 in-depth interviews with women who underwent hysterectomy indicates that a preponderance of respondents conceptualized a socially constructed hormonal hierarchy based on the degree to which ovaries were excised in the course of surgery. While retained ovaries may not always produce actual physiological benefits, respondents placed great symbolic value on ovaries as the source of (...)
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