Results for 'abstraction and cogitative power'

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  1.  40
    “Non-Idealizing Abstraction” as Ideology: Non-Ideal Theory, Intersectionality, and the Power Dynamics of Oppression.Youjin Kong - 2017 - Social Philosophy Today 33:155-171.
    Recently, social and political philosophers have shown increased interest in the ideological nature of ideal theory and the importance of non-ideal theory. Charles Mills, who sparked recent critiques of ideal theory, invokes the notion of “non-idealizing abstractions” and argues that these are helpful when applying non-ideal theory. In contrast, I argue that the notion of non-idealizing abstractions is not a helpful tool for non-ideal theory. I suspect that it pays insufficient attention to the actual power dynamics of oppression, which (...)
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  2. Aquinas’s Commentary on Boethius’s De Trinitate.Ariberto Acerbi - 2012 - Review of Metaphysics 66 (2):317-338.
    General remarks on some ontological premises of Aquinas' Epistemology.
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  3. The Cogitative Power.Thomas V. Flynn - 1953 - The Thomist 16:542-63.
     
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  4.  6
    Why the Cogitative Power?A. Leo White - 1998 - Proceedings of the American Catholic Philosophical Association 72:213-227.
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  5.  28
    Why the Cogitative Power?A. Leo White - 1998 - Proceedings of the American Catholic Philosophical Association 72:213-227.
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  6.  10
    Cogitatio_, _Cogitativus_ and _Cogitare: Remarks on the Cogitative Power in Averroes.Richard C. Taylor - unknown
  7.  34
    The Power of Abstraction: Brentano, Husserl and the Göttingen Students.Neb Kujundzic - 2012 - Symposium: Canadian Journal of Continental Philosophy/Revue canadienne de philosophie continentale 16 (2):191-200.
    A quick look into the index of Brentano’s Psychology from an Empirical Standpoint reveals that all references to “abstract terms” occur only in the appendix (taken from Brentano’s “Nachlass” essays). What should we make of this? Was it the case that the inquiry into abstract, as well as non-existent, objects came as an afterthought to Brentano? Or was he all too aware of the consequences of such investigations? Furthermore, was it largely the absence of such inquirythat prompted Husserl and his (...)
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  8.  10
    The Power of Formalization and Abstraction in Evolutionary Biology The Geometry of Evolution: Adaptive Landscapes and Theoretical Morphospaces. (2006). By George R. Mcghee. 184 Pp. ISBN: 0 521 84942X. [REVIEW]Diego Rasskin-Gutman - 2007 - Bioessays 29 (10):1068-1069.
  9.  12
    Linguistic Apprehension as Incidental Sensation in Thomas Aquinas.Daniel D. De Haan - 2010 - Proceedings of the American Catholic Philosophical Association 84:179-196.
    In this paper I will delineate the psychological operations and faculties required for linguistic apprehension within a Thomistic psychology. This will require first identifying the proper object of linguistic apprehension, which will then allow me to specify the distinct operations and faculties necessary for linguisticapprehension. I will argue that the semantic value of any linguistic term is a type of incidental sensible and that its cognitive apprehension is a type of incidentalsensation. Hence, the faculties necessary for the apprehension of any (...)
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  10.  43
    Linguistic Apprehension as Incidental Sensation in Thomas Aquinas.Daniel D. De Haan - 2010 - Proceedings of the American Catholic Philosophical Association 84:179-196.
    In this paper I will delineate the psychological operations and faculties required for linguistic apprehension within a Thomistic psychology. This will require first identifying the proper object of linguistic apprehension, which will then allow me to specify the distinct operations and faculties necessary for linguistic apprehension. I will argue that the semantic value of any linguistic term is a type of incidental sensible and that its cognitive apprehension is a type of incidental sensation. Hence, the faculties necessary for the apprehension (...)
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  11. The Subject and Power.Michel Foucault - 1982 - Critical Inquiry 8 (4):777-795.
    I would like to suggest another way to go further toward a new economy of power relations, a way which is more empirical, more directly related to our present situation, and which implies more relations between theory and practice. It consists of taking the forms of resistance against different forms of power as a starting point. To use another metaphor, t consists of using this resistance as a chemical catalyst so as to bring to light power relations, (...)
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  12.  19
    Technology and Knowledge: The Affirmation of Power[REVIEW]Simon Foley - 2004 - AI and Society 18 (4):310-333.
    When Durkheim (1933) wrote that the introduction of technologies had produced “profound changes... in the structure of our societies in a very short time”, he was warning against the unqualified acceptance of rapid technological change before a knowledge base had had time to develop from the existing values and shared experiences of individuals. This paper will consider how the technologising of society, in the context of work, is at once a suppression of knowledge and a reaffirmation of its power. (...)
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  13.  4
    Naturaleza y elementos de una concepción cognitivo-práctica de las emociones.Ana Marta Gonzalez - 2011 - Pensamiento 67:487-516.
    In the light of the variety of approaches to the study of emotions, the purpose of this paper is twofold: on the one hand, to draw attention to the cultural assumptions of experimental approaches to emotion, and, on the other, to show the relevance of resorting to philosophical tradition in order to conceptually clarify the difference between cognitive and non-cognitive approaches to emotions, as well as the constitutive elements of a cognitive approach to emotion, which I describe as «practicallycognitive» in (...)
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  14.  25
    Ineffability Within the Limits of Abstraction Alone.Stewart Shapiro & Gabriel Uzquiano - 2016 - In Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism: Essays in Philosophy of Mathematics. Oxford University Press.
    The purpose of this article is to assess the prospects for a Scottish neo-logicist foundation for a set theory. We show how to reformulate a key aspect of our set theory as a neo-logicist abstraction principle. That puts the enterprise on the neo-logicist map, and allows us to assess its prospects, both as a mathematical theory in its own right and in terms of the foundational role that has been advertised for set theory. On the positive side, we show (...)
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  15.  61
    Hegel with Beckett: The Persistence of Abstraction.Slavoj Žižek - 2019 - International Journal of Žižek Studies 13 (1).
    Fredric Jameson is best known for applying to social and cultural life the motto: historicize every phenomenon, locate it in its concrete historical totality. What I want to do in this brief reflection is to elaborate a properly dialectical reading of this motto, a reading which recognizes abstraction itself as a concrete historical power. What Marxism calls.
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  16.  26
    Idealization and Abstraction in Models of Injustice.Leif Hancox‐Li - 2017 - Hypatia 32 (2):329-346.
    Charles Mills has argued against ideal theory in political philosophy on the basis that it contains idealizations. He calls for political philosophers to do more nonideal theory, namely political theory that pays more attention to the most visible oppressions in society, such as those based on race, gender, and class. Mills's argument relies on a distinction between idealization and abstraction. Idealizations involve adding false assumptions to one's model, which is unacceptable, whereas abstractions merely leave out details without undermining descriptive (...)
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  17.  7
    Avicenna's Emanated Abstraction.Stephen R. Ogden - 2020 - Philosophers' Imprint 20 (10).
    One of the largest ongoing debates in scholarship on Avicenna concerns his epistemology of the first acquisition of intelligible forms or concepts. “Emanationists” hold that intelligibles are emanated by the separate Active Intellect directly into human minds. “ionists” hold that intelligibles are abstracted by the human intellect from sensory images. Neither of these positions has a satisfactory grip on Avicenna’s philosophy. I propose that the two positions can be reconciled because Avicenna states in many texts that what the AI emanates (...)
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  18.  43
    Abstraction in Al-Fârâbî.Richard C. Taylor - 2006 - Proceedings of the American Catholic Philosophical Association 80:151-168.
    Al-Fârâbî’s thought on intellect was known to the Latin West through the translation of his Letter on the Intellect, through the Long Commentary on the De Anima by Averroes and through some other works. Al-Fârâbî identified the active power of intellect in Aristotle’s De Anima 3.5 as the unique and separately existing Agent Intellect, but the role of the Agent Intellect in forming intelligibles in act in the human soul is by no means unequivocally clear. Further, the apprehension of (...)
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  19.  18
    Abstraction in Al-F'r'bî.Richard C. Taylor - 2006 - Proceedings of the American Catholic Philosophical Association 80:151-168.
    Al-Fârâbî’s thought on intellect was known to the Latin West through the translation of his Letter on the Intellect, through the Long Commentary on the De Anima by Averroes and through some other works. Al-Fârâbî identified the active power of intellect in Aristotle’s De Anima 3.5 as the unique and separately existing Agent Intellect, but the role of the Agent Intellect in forming intelligibles in act in the human soul is by no means unequivocally clear. Further, the apprehension of (...)
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  20.  15
    Reasoning and Social Context: The Role of Social Status and Power.Phyllis Rooney - unknown
    Recent work linking feminist epistemology with social epistemology draws attention to the role of status and power in understanding knowledge and reasoning in social context. I argue that considerations of social justice require better understandings of two particular components of reasoning and social context: abstraction—who gets to abstract, how, and why? the individual-social distinction—how do particular understandings of this distinction serve to minimize or elucidate the role of status and power?
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  21.  10
    Saber, abstração e poder na Dialética do esclarecimento: um comentário crítico.Verlaine Freitas - 2014 - Veritas – Revista de Filosofia da Pucrs 59 (2):20-45.
    Este artigo aborda criticamente alguns conceitos referentes ao vínculo entre racionalidade, abstração e poder, tomados em contraste com a noção de mímesis, tal como Adorno e Horkheimer concebem na Dialética do esclarecimento. Partindo da diferenciação de quatro conceitos de esclarecimento, procuramos demonstrar o caráter inadequado da equalização entre esclarecimento e exercício violento e ideológico do poder, mostrando como o conceito de abstração, que nos parece servir de base para o primeiro capítulo daquela obra, permite delinear melhor a cisão entre as (...)
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  22. La cogitativa en Cornelio Fabro. Para una filosofía no dualista de la percepción.Juan Jose Sanguineti - 2014 - Studium. Filosofía y Teología (34):437-458.
    This paper considers the relevance of the theory of the cogitative power in Aquinas, as highlighted by Cornelio Fabro during his early research in the fourth decade of the past century, in contemporary neuropsychological studies, and particularly as a specific way of overcoming a dualistic approach in the psychology of perception. The thesis is coherent with an anthropological view based on the substantial unity between soul and body. As a consequence, the capacities of the cogitative faculty (estimative (...)
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  23. Fragments of Frege’s Grundgesetze and Gödel’s Constructible Universe.Sean Walsh - 2016 - Journal of Symbolic Logic 81 (2):605-628.
    Frege's Grundgesetze was one of the 19th century forerunners to contemporary set theory which was plagued by the Russell paradox. In recent years, it has been shown that subsystems of the Grundgesetze formed by restricting the comprehension schema are consistent. One aim of this paper is to ascertain how much set theory can be developed within these consistent fragments of the Grundgesetze, and our main theorem shows that there is a model of a fragment of the Grundgesetze which defines a (...)
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  24. A Deflationist Error Theory of Properties.Arvid Båve - 2015 - Dialectica 69 (1):23-59.
    I here defend a theory consisting of four claims about ‘property’ and properties, and argue that they form a coherent whole that can solve various serious problems. The claims are (1): ‘property’ is defined by the principles (PR): ‘F-ness/Being F/etc. is a property of x iff F’ and (PA): ‘F-ness/Being F/etc. is a property’; (2) the function of ‘property’ is to increase the expressive power of English, roughly by mimicking quantification into predicate position; (3) property talk should be understood (...)
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  25.  26
    Mechanistic Explanation in Engineering Science.Dingmar van Eck - 2015 - European Journal for Philosophy of Science 5 (3):349-375.
    In this paper I apply the mechanistic account of explanation to engineering science. I discuss two ways in which this extension offers further development of the mechanistic view. First, functional individuation of mechanisms in engineering science proceeds by means of two distinct sub types of role function, behavior function and effect function, rather than role function simpliciter. Second, it offers refined assessment of the explanatory power of mechanistic explanations. It is argued that in the context of malfunction explanations of (...)
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  26. Averroes and Aquinas on the Agent Intellect's Causation of Intelligibles.Therese Scarpelli Cory - 2015 - Recherches de Theologie Et Philosophie Medievales 82:1-60.
    This article examines two medieval thinkers—Averroes and Aquinas—on the kind of causation exercised by the agent intellect in “abstracting” or producing intelligibles from images in the imagination. It argues that abstraction in these thinkers should be interpreted in causal terms, as an act whereby images in the imagination, through the power of the agent intellect, educe their intelligible likeness in a receptive intellect. This Averroan-Thomistic causal approach to abstraction offers an intriguing alternative to the usual approach to (...)
     
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  27. Signs as Means for Discoveries. Peirce and His Concepts of 'Diagrammatic Reasoning,' 'Theorematic Deduction,' 'Hypostatic Abstraction,' and 'Theoric Transformation'.Michael H. G. Hoffmann - 2005 - In . Springer.
    The paper aims to show how by elaborating the Peircean terms used in the title creativity in learning processes and in scientific discoveries can be explained within a semiotic framework. The essential idea is to emphasize both the role of external representations and of experimenting with those representations , and to describe a process consisting of three steps: First, looking at diagrams "from a novel point of view" offers opportunities to synthesize elements of these diagrams which have never been perceived (...)
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  28.  39
    Ibn Bajja's Noetic.Jamal Rachak - 2009 - Anales Del Seminario de Historia de la Filosofía 26:81-95.
    This paper aims at elaborating a very special topic relative to the medieval philosophy; particularly, the question of noetic as was dealt with by a philosopher of the Islamic occident. Although the article is but the first part of the whole work, it still reveals the originality and the innovative tendency brought about this philosopher. What is most essential in Ibn Bajja’s noetic is the absence of intellect in power and the presence of intellect in act, in the design (...)
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  29.  12
    Digital Infrastructures and the Machinery of Topological Abstraction.Matthew Fuller & Andrew Goffey - 2012 - Theory, Culture and Society 29 (4-5):311-333.
    Drawing on contemporary pragmatic philosophy and grounded in a reading of techniques associated with digital media as sophist practices of influence and manipulation, this paper proposes an ‘experimental’ reading of key aspects of the topological qualities of the infrastructure of the knowledge economy, with its obsessive attempts at measuring, recording and monitoring, or ‘qualculation’. Taking seriously, albeit with humour, early criticisms of actor-network for its ostensibly Machiavellian proclivities, it offers a series of playful stratagems for the exploration and analysis of (...)
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  30.  11
    Child Versus Adult Analogy: The Role of Systematicity and Abstraction in Analogy Models.Angela Schwering & Kai-Uwe Kühnberger - 2008 - Behavioral and Brain Sciences 31 (4):395-396.
    The target article develops a computational connectionist model for analogy-making from a developmental perspective and evaluates this model using simple analogies. Our commentary critically reviews the advantages and limits of this approach, in particular with respect to its expressive power, its capability to generalize across analogous structure and analyze systematicity in analogies.
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  31.  82
    Pansentient Monism: Formulating Panpsychism as a Genuine Psycho-Physical Identity Theory [PhD Thesis: Abstract & Contents Pages].Peter Sjöstedt-H. - 2019 - Dissertation, University of Essex
    The thesis that follows proffers a solution to the mind-matter problem, the problem as to how mind and matter relate. The proposed solution herein is a variant of panpsychism – the theory that all (pan) has minds (psyche) – that we name pansentient monism. By defining the suffix 'psyche' of panpsychism, i.e. by analysing what 'mind' is (Chapter 1), we thereby initiate the effacement of the distinction between mind and matter, and thus advance a monism. We thereafter critically examine the (...)
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  32.  54
    Perception and the Vis Cogitativa: A Thomistic Analysis of Aspectual, Actional, and Affectional Percepts.Daniel D. De Haan - 2014 - American Catholic Philosophical Quarterly 88 (3):397-437.
    This paper aims to establish some of the taxonomical groundwork required for developing a robust philosophy of perception on the basis of the Thomistic doctrine of the cogitative power . The formal object of the cogitative power will be divided into aspectual, actional, and affectional percepts. Accordingly, the paper contends that there is an internal sense power capable of a non-conceptual and pre-linguistic perceptual estimation of what some particular is, what could be done with respect (...)
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  33.  42
    Delectatio, Gaudium, Fruitio. Three Kinds of Pleasure for Three Kinds of Knowledge in Thomas Aquinas.Daniel De Haan - 2015 - Quaestio 15:543-552.
    This paper investigates Thomas Aquinas’s threefold division of pleasure into delectatio, gaudium, and fruitio, and its taxonomical basis in his threefold division of knowledge into tactility, the cogitative power, and the intellect. -/- Thomas Aquinas distinguishes three ways in which the sensory and intellectual appetites rest in the good. When the will rests in the intellectually apprehended good, this act is called fruitio; when the concupiscible appetite rests in a good apprehended by the internal senses this passion is (...)
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  34. Thomas Aquinas on Reason's Control of the Passions in the Virtue of Temperance.Giuseppe Butera - 2001 - Dissertation, The Catholic University of America
    This dissertation examines Aquinas's teaching on the acts specific to temperance. According to a widespread interpretation of this teaching , the proper act of temperance is spontaneous, ordinate passion. Temperance thus not only causes someone to experience the right passions towards the right objects but does so antecedent to reason's command. Indeed, temperance is thought to have little if anything to do with reason's control of the passions. In an introductory chapter, I show that this understanding of temperance faces a (...)
     
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  35. James and Dewey on Abstraction. Winther - 2014 - The Pluralist 9 (2):1.
    Reification is to abstraction as disease is to health. Whereas abstraction is singling out, symbolizing, and systematizing, reification is neglecting abstractive context, especially functional, historical, and analytical-level context. William James and John Dewey provide similar and nuanced arguments regarding the perils and promises of abstraction. They share an abstraction-reification account. The stages of abstraction and the concepts of “vicious abstractionism,” “/the/ psychologist’s fallacy,” and “the philosophic fallacy” in the works of these pragmatists are here analyzed (...)
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  36. A Broad Definition of Agential Power.Pablo Gilabert - 2018 - Journal of Political Power 11 (1):79-92.
    Can we develop a definition of power that is satisfactorily determinate but also enables rather than foreclose important substantive debates about how power relations proceed and should proceed in social and political life? I present a broad definition of agential power that meets these desiderata. On this account, agents have power with respect to a certain outcome (including, inter alia, the shaping of certain social relations) to the extent that they can voluntarily determine whether that outcome (...)
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  37. The Psychic Life of Power: Theories in Subjection.Judith Butler - 1997 - Stanford University Press.
    The author considers the way in which psychic life is generated by the social operation of power, and how that social operation of power is concealed and fortified by the psyche that it produces. Power is no longer understood to be 'internalized' by an existing subject, but the subject is spawned as an ambivalent effect of power, one that is staged through the operation of conscience. To claim that power fabricates the psyche is also to (...)
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  38. Subverting the Racist Lens: Frederick Douglass, Humanity and the Power of the Photographic Image.Bill Lawson & Maria Brincker - 2017 - In Bill Lawson & Celeste-Marie Bernier (eds.), Pictures and Power: Imaging and Imagining Frederick Douglass 1818-2018. by Liverpool University Press.
    Frederick Douglass, the abolitionist, the civil rights advocate and the great rhetorician, has been the focus of much academic research. Only more recently is Douglass work on aesthetics beginning to receive its due, and even then its philosophical scope is rarely appreciated. Douglass’ aesthetic interest was notably not so much in art itself, but in understanding aesthetic presentation as an epistemological and psychological aspect of the human condition and thereby as a social and political tool. He was fascinated by the (...)
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  39. Empiricism Without Magic: Transformational Abstraction in Deep Convolutional Neural Networks.Cameron Buckner - 2018 - Synthese (12):1-34.
    In artificial intelligence, recent research has demonstrated the remarkable potential of Deep Convolutional Neural Networks (DCNNs), which seem to exceed state-of-the-art performance in new domains weekly, especially on the sorts of very difficult perceptual discrimination tasks that skeptics thought would remain beyond the reach of artificial intelligence. However, it has proven difficult to explain why DCNNs perform so well. In philosophy of mind, empiricists have long suggested that complex cognition is based on information derived from sensory experience, often appealing to (...)
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  40. Dissecting Explanatory Power.Petri Ylikoski & Jaakko Kuorikoski - 2010 - Philosophical Studies 148 (2):201–219.
    Comparisons of rival explanations or theories often involve vague appeals to explanatory power. In this paper, we dissect this metaphor by distinguishing between different dimensions of the goodness of an explanation: non-sensitivity, cognitive salience, precision, factual accuracy and degree of integration. These dimensions are partially independent and often come into conflict. Our main contribution is to go beyond simple stipulation or description by explicating why these factors are taken to be explanatory virtues. We accomplish this by using the contrastive-counterfactual (...)
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  41. The Method of Levels of Abstraction.Luciano Floridi - 2008 - Minds and Machines 18 (3):303-329.
    The use of “levels of abstraction” in philosophical analysis (levelism) has recently come under attack. In this paper, I argue that a refined version of epistemological levelism should be retained as a fundamental method, called the method of levels of abstraction. After a brief introduction, in section “Some Definitions and Preliminary Examples” the nature and applicability of the epistemological method of levels of abstraction is clarified. In section “A Classic Application of the Method ofion”, the philosophical fruitfulness (...)
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  42.  44
    The Ethics of Sex and Power Asymmetries.Francesco Orsi - manuscript
    The recent #metoo movement has turned public attention to the problem of sex under conditions of power inequality. Is consent impaired, when you have plenty to lose (e.g. a great professional opportunity) from saying “no” to a sexual advance? And even if consent is valid, is this a morally acceptable situation, especially if one party is aware that their position of relative power will influence the other’s decision to have sex? Such situations bring to the fore not only (...)
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  43. The Limits of Abstraction.Kit Fine - 2002 - Oxford University Press.
    Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits ofion breaks new ground both technically and philosophically.
  44. States of Injury: Power and Freedom in Late Modernity.Wendy Brown - 1995 - Princeton University Press.
    Whether in characterizing Catharine MacKinnon's theory of gender as itself pornographic or in identifying liberalism as unable to make good on its promises, Wendy Brown pursues a central question: how does a sense of woundedness become the basis for a sense of identity? Brown argues that efforts to outlaw hate speech and pornography powerfully legitimize the state: such apparently well-intentioned attempts harm victims further by portraying them as so helpless as to be in continuing need of governmental protection. "Whether one (...)
     
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  45. Hobbes and the Question of Power.Sandra Field - 2014 - Journal of the History of Philosophy 52 (1):61-85.
    Thomas Hobbes has been hailed as the philosopher of power par excellence; however, I demonstrate that Hobbes’s conceptualization of political power is not stable across his texts. Once the distinction is made between the authorized and the effective power of the sovereign, it is no longer sufficient simply to defend a doctrine of the authorized power of the sovereign; such a doctrine must be robustly complemented by an account of how the effective power commensurate to (...)
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  46. Slurs, Roles and Power.Mihaela Popa-Wyatt & Jeremy L. Wyatt - 2018 - Philosophical Studies 175 (11):2879-2906.
    Slurring is a kind of hate speech that has various effects. Notable among these is variable offence. Slurs vary in offence across words, uses, and the reactions of audience members. Patterns of offence aren’t adequately explained by current theories. We propose an explanation based on the unjust power imbalance that a slur seeks to achieve. Our starting observation is that in discourse participants take on discourse roles. These are typically inherited from social roles, but only exist during a discourse. (...)
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  47. Reflections on Human Rights and Power.Pablo Gilabert - 2018 - In Adam Etinson (ed.), Human Rights: Moral or Political? Oxford: Oxford University Press. pp. 375-399.
    Human rights are particularly relevant in contexts in which there are significant asymmetries of power, but where these asymmetries exist the human rights project turns out to be especially difficult to realize. The stronger can use their disproportionate power both to threaten others’ human rights and to frustrate attempts to secure their fulfillment. They may even monopolize the international discussion as to what human rights are and how they should be implemented. This paper explores this tension between the (...)
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  48. Human Rights, Human Dignity, and Power.Pablo Gilabert - 2015 - In Rowan Cruft, Matthew Liao & Massimo Renzo (eds.), Philosophical Foundations of Human Rights. Oxford University Press. pp. 196-213.
    This paper explores the connections between human rights, human dignity, and power. The idea of human dignity is omnipresent in human rights discourse, but its meaning and point is not always clear. It is standardly used in two ways, to refer to a normative status of persons that makes their treatment in terms of human rights a proper response, and a social condition of persons in which their human rights are fulfilled. This paper pursues three tasks. First, it provides (...)
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  49.  75
    The Dynamics of Social Practice: Everyday Life and How It Changes.Elizabeth Shove - 2012 - Sage Publications.
    The Dynamics of Social Practice -- Introducing Theories of Practice -- Materials and Resources -- Sequence and Structure -- Making and Breaking Links -- Material, Competence and Meaning -- Car-Driving: Elements and Linkages Making Links -- Breaking Links -- Elements Between Practices -- Standardization and Diversity -- Individual and Collective Careers -- The Life of Elements -- Modes of Circulation -- Transportation and Access: Material -- Abstraction, Reversal and Migration: Competence -- Association and Classification: Meaning -- Packing and Unpacking (...)
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  50. Two Types of Abstraction for Structuralism.Øystein Linnebo & Richard Pettigrew - 2014 - Philosophical Quarterly 64 (255):267-283.
    If numbers were identified with any of their standard set-theoretic realizations, then they would have various non-arithmetical properties that mathematicians are reluctant to ascribe to them. Dedekind and later structuralists conclude that we should refrain from ascribing to numbers such ‘foreign’ properties. We first rehearse why it is hard to provide an acceptable formulation of this conclusion. Then we investigate some forms of abstraction meant to purge mathematical objects of all ‘foreign’ properties. One form is inspired by Frege; the (...)
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