Results for 'Colin Jakob Rittberg'

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  1. Epistemic injustice in mathematics.Colin Jakob Rittberg, Fenner Stanley Tanswell & Jean Paul Van Bendegem - 2020 - Synthese 197 (9):3875-3904.
    We investigate how epistemic injustice can manifest itself in mathematical practices. We do this as both a social epistemological and virtue-theoretic investigation of mathematical practices. We delineate the concept both positively—we show that a certain type of folk theorem can be a source of epistemic injustice in mathematics—and negatively by exploring cases where the obstacles to participation in a mathematical practice do not amount to epistemic injustice. Having explored what epistemic injustice in mathematics can amount to, we use the concept (...)
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  2. Virtue theory of mathematical practices: an introduction.Andrew Aberdein, Colin Jakob Rittberg & Fenner Stanley Tanswell - 2021 - Synthese 199 (3-4):10167-10180.
    Until recently, discussion of virtues in the philosophy of mathematics has been fleeting and fragmentary at best. But in the last few years this has begun to change. As virtue theory has grown ever more influential, not just in ethics where virtues may seem most at home, but particularly in epistemology and the philosophy of science, some philosophers have sought to push virtues out into unexpected areas, including mathematics and its philosophy. But there are some mathematicians already there, ready to (...)
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  3.  26
    On the Contemporary Practice of Philosophy of Mathematics.Colin Jakob Rittberg - 2019 - Acta Baltica Historiae Et Philosophiae Scientiarum 7 (1):5-26.
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  4.  34
    Intellectual humility in mathematics.Colin Jakob Rittberg - unknown - Synthese 199 (3-4):5571-5601.
    In this paper I explore how intellectual humility manifests in mathematical practices. To do this I employ accounts of this virtue as developed by virtue epistemologists in three case studies of mathematical activity. As a contribution to a Topical Collection on virtue theory of mathematical practices this paper explores in how far existing virtue-theoretic frameworks can be applied to a philosophical analysis of mathematical practices. I argue that the individual accounts of intellectual humility are successful at tracking some manifestations of (...)
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  5.  38
    Justified Epistemic Exclusions in Mathematics.Colin Jakob Rittberg - 2023 - Philosophia Mathematica 31 (3):330-359.
    Who gets to contribute to knowledge production of an epistemic community? Scholarship has focussed on unjustified forms of exclusion. Here I study justified forms of exclusion by investigating the phenomenon of so-called ‘cranks’ in mathematics. I argue that workload-management concerns justify the exclusion of these outsiders from mathematical knowledge-making practices. My discussion reveals three insights. There are reasons other than incorrect mathematical argument that justify exclusions from mathematical practices. There are instances in which mathematicians are justified in rejecting even correct (...)
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  6.  3
    Mathematical Practices Can Be Metaphysically Laden.Colin Jakob Rittberg - 2024 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer. pp. 109-134.
    In this chapter I explore the reciprocal relationship between the metaphysical views mathematicians hold and their mathematical activity. I focus on the set-theoretic pluralism debate, in which set theorists disagree about the implications of their formal mathematical work. As a first case study, I discuss how Woodin’s monist argument for an Ultimate-L feeds on and is fed by mathematical results and metaphysical beliefs. In a second case study, I present Hamkins’ pluralist proposal and the mathematical research projects it endows with (...)
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  7.  11
    Hippocratic Oaths for Mathematicians?Colin Jakob Rittberg - 2022 - Philosophia 51 (3):1579-1603.
    In this paper I ask whether mathematicians should swear an oath similar to the Hippocratic oath sworn by some medical professionals as a means to foster morally praiseworthy engagement with the ethical dimensions of mathematics. I individuate four dimensions in which mathematics is ethically charged: (1) applying mathematical knowledge to the world can cause harm, (2) participation of mathematicians in morally contentious practices is an ethical issue, (3) mathematics as a social activity faces relevant ethical concerns, (4) mathematical knowledge itself (...)
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  8.  14
    On the Epistemological Relevance of Social Power and Justice in Mathematics.Eugenie Hunsicker & Colin Jakob Rittberg - 2022 - Axiomathes 32 (3):1147-1168.
    In this paper we argue that questions about which mathematical ideas mathematicians are exposed to and choose to pay attention to are epistemologically relevant and entangled with power dynamics and social justice concerns. There is a considerable body of literature that discusses the dissemination and uptake of ideas as social justice issues. We argue that these insights are also relevant for the epistemology of mathematics. We make this visible by a journalistic exploration of relevant cases and embed our insights into (...)
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  9.  55
    The material reasoning of folding paper.Michael Friedman & Colin Jakob Rittberg - 2021 - Synthese 198 (S26):6333-6367.
    This paper inquires the ways in which paper folding constitutes a mathematical practice and may prompt a mathematical culture. To do this, we first present and investigate the common mathematical activities shared by this culture, i.e. we present mathematical paper folding as a material reasoning practice. We show that the patterns of mathematical activity observed in mathematical paper folding are, at least since the end of the nineteenth century, sufficiently stable to be considered as a practice. Moreover, we will argue (...)
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  10.  95
    The felt presence of other minds: Predictive processing, counterfactual predictions, and mentalising in autism.Colin J. Palmer, Anil K. Seth & Jakob Hohwy - 2015 - Consciousness and Cognition 36:376-389.
  11.  61
    How Woodin changed his mind: new thoughts on the Continuum Hypothesis.Colin J. Rittberg - 2015 - Archive for History of Exact Sciences 69 (2):125-151.
    The Continuum Problem has inspired set theorists and philosophers since the days of Cantorian set theory. In the last 15 years, W. Hugh Woodin, a leading set theorist, has not only taken it upon himself to engage in this question, he has also changed his mind about the answer. This paper illustrates Woodin’s solutions to the problem, starting in Sect. 3 with his 1999–2004 argument that Cantor’s hypothesis about the continuum was incorrect. From 2010 onwards, Woodin presents a very different (...)
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  12. Context sensitivity in action decreases along the autism spectrum: a predictive processing perspective.Colin Palmer, Bryan Paton, Melissa Kirkovski, Peter Enticott & Jakob Hohwy - unknown
  13. Movement under uncertainty: The effects of the rubber-hand illusion vary along the nonclinical autism spectrum.Colin Palmer, Bryan Paton, Jakob Hohwy & Peter Enticott - forthcoming - Neuropsychologia.
    Recent research has begun to investigate sensory processing in relation to nonclinical variation in traits associated with the autism spectrum disorders (ASD). We propose that existing accounts of autistic perception can be augmented by considering a role for individual differences in top-down expectations for the precision of sensory input, related to the processing of state-dependent levels of uncertainty. We therefore examined ASD-like traits in relation to the rubber-hand illusion: an experimental paradigm that typically elicits crossmodal integration of visual, tactile, and (...)
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  14. Distrusting the present.Jakob Hohwy, Bryan Paton & Colin Palmer - 2016 - Phenomenology and the Cognitive Sciences 15 (3):315-335.
    We use the hierarchical nature of Bayesian perceptual inference to explain a fundamental aspect of the temporality of experience, namely the phenomenology of temporal flow. The explanation says that the sense of temporal flow in conscious perception stems from probabilistic inference that the present cannot be trusted. The account begins by describing hierarchical inference under the notion of prediction error minimization, and exemplifies distrust of the present within bistable visual perception and action initiation. Distrust of the present is then discussed (...)
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  15. Individual Differences in Moral Behaviour: A Role for Response to Risk and Uncertainty?Colin J. Palmer, Bryan Paton, Trung T. Ngo, Richard H. Thomson, Jakob Hohwy & Steven M. Miller - 2012 - Neuroethics 6 (1):97-103.
    Investigation of neural and cognitive processes underlying individual variation in moral preferences is underway, with notable similarities emerging between moral- and risk-based decision-making. Here we specifically assessed moral distributive justice preferences and non-moral financial gambling preferences in the same individuals, and report an association between these seemingly disparate forms of decision-making. Moreover, we find this association between distributive justice and risky decision-making exists primarily when the latter is assessed with the Iowa Gambling Task. These findings are consistent with neuroimaging studies (...)
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  16.  73
    Explanation in the science of consciousness: From the neural correlates of consciousness (NCCs) to the difference makers of consciousness.Colin Klein, Jakob Hohwy & Tim Bayne - 2020 - Philosophy and the Mind Sciences 1 (II).
    At present, the science of consciousness is structured around the search for the neural correlates of consciousness. One of the alleged advantages of the NCCs framework is its metaphysical neutrality—the fact that it begs no contested questions with respect to debates about the fundamental nature of consciousness. Here, we argue that even if the NCC framework is metaphysically neutral, it is structurally committed, for it presupposes a certain model—what we call the Lite-Brite model—of consciousness. This, we argue, represents a serious (...)
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  17. Social cognition as causal inference: implications for common knowledge and autism.Jakob Hohwy & Colin Palmer - forthcoming - In John Michael & Mattia Gallotti (eds.), Social Objects and Social Cognition. Springer.
    This chapter explores the idea that the need to establish common knowledge is one feature that makes social cognition stand apart in important ways from cognition in general. We develop this idea on the background of the claim that social cognition is nothing but a type of causal inference. We focus on autism as our test-case, and propose that a specific type of problem with common knowledge processing is implicated in challenges to social cognition in autism spectrum disorder (ASD). This (...)
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  18.  67
    Variability, convergence, and dimensions of consciousness.Colin Klein & Jakob Hohwy - 2015 - In Morten Overgaard (ed.), Behavioral Methods in Consciousness Research. Oxford, United Kingdom: Oxford University Press.
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  19. Equality, Efficiency, and Sufficiency: Responding to Multiple Parameters of Distributive Justice During Charitable Distribution.Colin J. Palmer, Bryan Paton, Linda Barclay & Jakob Hohwy - 2013 - Review of Philosophy and Psychology 4 (4):659-674.
    Distributive justice decision making tends to require a trade off between different valued outcomes. The present study tracked computer mouse cursor movements in a forced-choice paradigm to examine for tension between different parameters of distributive justice during the decision-making process. Participants chose between set meal distributions, to third parties, that maximised either equality (the evenness of the distribution) or efficiency (the total number of meals distributed). Across different formulations of these dilemmas, responding was consistent with the notion that individuals tend (...)
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  20.  27
    Autism and the sensorimotor effects of the Rubber-Hand Illusion.Palmer Colin, Paton Bryan, Kirkovski Melissa, Enticott Peter & Hohwy Jakob - 2015 - Frontiers in Human Neuroscience 9.
  21.  71
    Mathematicians’ Assessments of the Explanatory Value of Proofs.Juan Pablo Mejía Ramos, Tanya Evans, Colin Rittberg & Matthew Inglis - 2021 - Axiomathes 31 (5):575-599.
    The literature on mathematical explanation contains numerous examples of explanatory, and not so explanatory proofs. In this paper we report results of an empirical study aimed at investigating mathematicians’ notion of explanatoriness, and its relationship to accounts of mathematical explanation. Using a Comparative Judgement approach, we asked 38 mathematicians to assess the explanatory value of several proofs of the same proposition. We found an extremely high level of agreement among mathematicians, and some inconsistencies between their assessments and claims in the (...)
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  22.  95
    The Romantic Ethic and the Spirit of Modern Consumerism: New Extended Edition.Colin Campbell - 2018 - Springer Verlag.
    Originally published in 1987, Colin Campbell’s classic treatise on the sociology of consumption has become one of the most widely cited texts in sociology, anthropology, cultural studies, and the history of ideas. In the thirty years since its publication, The Romantic Ethic and the Spirit of Modern Consumerism has lost none of its impact. If anything, the growing commodification of society, the increased attention to consumer studies and marketing, and the ever-proliferating range of purchasable goods and services have made (...)
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  23.  37
    Learning Phonology With Substantive Bias: An Experimental and Computational Study of Velar Palatalization.Colin Wilson - 2006 - Cognitive Science 30 (5):945-982.
    There is an active debate within the field of phonology concerning the cognitive status of substantive phonetic factors such as ease of articulation and perceptual distinctiveness. A new framework is proposed in which substance acts as a bias, or prior, on phonological learning. Two experiments tested this framework with a method in which participants are first provided highly impoverished evidence of a new phonological pattern, and then tested on how they extend this pattern to novel contexts and novel sounds. Participants (...)
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  24.  5
    The Outsider.Colin Wilson - 1982 - TarcherPerigee.
    An alienated young man attempts to find himself through an examination of modern philosophy.
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  25. Top-down and bottom-up in delusion formation.Jakob Hohwy - 2004 - Philosophy Psychiatry and Psychology 11 (1):65-70.
    In lieu of an abstract, here is a brief excerpt of the content:Philosophy, Psychiatry, & Psychology 11.1 (2004) 65-70 [Access article in PDF] Top-Down and Bottom-Up in Delusion Formation Jakob Hohwy Keywords delusions, top-down, bottom-up, predictive coding Some delusions may arise as responses to unusual experiences (Davies et al. 2001; Maher 1974;). The implication is that delusion formation in some cases involves some kind of bottom-up mechanism—roughly, from perception to belief. Delusion formation may also involve some kind of top-down (...)
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  26. Kant and Modern Political Philosophy.Colin Farrelly - 2002 - Mind 111 (443):662-664.
  27.  55
    Virtue jurisprudence.Colin Patrick Farrelly & Lawrence Solum (eds.) - 2008 - New York: Palgrave-Macmillan.
  28.  80
    Justified Group Belief, Group Knowledge and Being in a Position to Know.Jakob Koscholke - 2020 - Episteme 20 (1):1-8.
    Jennifer Lackey has recently presented a new and lucid analysis of the notion ofjustified group belief, i.e. a set of individually necessary and jointly sufficient conditions for a group to justifiedly believe some proposition. In this paper, however, I argue that theanalysansshe proposes is too narrow: one of the conditions she takes to be necessary for justified group belief is not necessary. To substantiate this claim, I present a potential counterexample to Lackey's analysis where a group knows and thus justifiedly (...)
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  29.  42
    Genes and social justice: A Rawlsian reply to Moore.Colin Farrelly - 2002 - Bioethics 16 (1):72–83.
    In this article I critically examine Adam Moore’s claim that the threshold for overriding intangible property rights and privacy rights is higher, in relation to genetic enhancement techniques and sensitive personal information, than is commonly suggested. I argue that Moore fails to see how important advances in genetic research are to social justice. Once this point is emphasised one sees that the issue of how formidable overriding these rights are is open to much debate. There are strong reasons, on grounds (...)
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  30.  40
    New Hope for Relative Overlap Measures of Coherence.Jakob Koscholke, Michael Schippers & Alexander Stegmann - 2019 - Mind 128 (512):1261-1284.
    Relative overlap measures of coherence have recently been shown to have two devastating properties: according to the plain relative overlap measure, the degree of coherence of any set of propositions cannot be increased by adding further propositions, and according to the refined relative overlap measure, no set can be more coherent than its most coherent two-element subset. This result has been taken to rule out relative overlap as a foundation for a probabilistic explication of coherence. The present paper shows that (...)
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  31.  22
    The Interdependence of Intra- and Inter-Subjectivity in Constructivist Institutionalism.Colin Hay - 2017 - Critical Review: A Journal of Politics and Society 29 (2):235-247.
    ABSTRACTOscar Larsson’s sympathetic critique of constructivist institutionalism calls for a clarification of my understanding of subjectivity, inter-subjectivity, and their mutual interdependence. That interdependence lies at the heart of any genuinely constructivist approach, just as the interdependence of structure and agency lies at the heart of any genuinely institutionalist approach. As such, I reject the charge of subjectivism just as I would that of voluntarism. Building on the social ontology of Berger and Luckmann, we can distinguish between subjectivity and intra-subjectivity and (...)
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  32.  20
    Compact cardinals and eight values in cichoń’s diagram.Jakob Kellner, Anda Ramona Tănasie & Fabio Elio Tonti - 2018 - Journal of Symbolic Logic 83 (2):790-803.
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  33.  15
    Decisive creatures and large continuum.Jakob Kellner & Saharon Shelah - 2009 - Journal of Symbolic Logic 74 (1):73-104.
    For f, g $ \in \omega ^\omega $ let $c_{f,g}^\forall $ be the minimal number of uniform g-splitting trees (or: Slaloms) to cover the uniform f-splitting tree, i.e., for every branch v of the f-tree, one of the g-trees contains v. $c_{f,g}^\exists $ is the dual notion: For every branch v, one of the g-trees guesses v(m) infinitely often. It is consistent that $c_{f \in ,g \in }^\exists = c_{f \in ,g \in }^\forall = k_ \in $ for N₁ many (...)
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  34.  97
    Political ontology.Colin Hay - 2006 - In Robert E. Goodin & Charles Tilly (eds.), The Oxford Handbook of Contextual Political Analysis. Oxford University Press.
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  35.  36
    Creature forcing and large continuum: the joy of halving.Jakob Kellner & Saharon Shelah - 2012 - Archive for Mathematical Logic 51 (1-2):49-70.
    For \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${f,g\in\omega^\omega}$$\end{document} let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${c^\forall_{f,g}}$$\end{document} be the minimal number of uniform g-splitting trees needed to cover the uniform f-splitting tree, i.e., for every branch ν of the f-tree, one of the g-trees contains ν. Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${c^\exists_{f,g}}$$\end{document} be the dual notion: For every branch ν, one of the g-trees guesses ν(m) infinitely often. We show that (...)
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  36.  61
    Genetic Justice Must Track Genetic Complexity.Colin Farrelly - 2008 - Cambridge Quarterly of Healthcare Ethics 17 (1):45-53.
    Cambridge Quarterly of Healthcare Ethics. What values and principles should inform the regulation of new human genetic technologies? To adequately answer this question we need an account of genetic justice. That is, an account of what constitutes a fair distribution of genetic endowments that influence our expected life-time acquisition of natural primary goods. These are goods that every rational person has an interest in. The decisions we now make regarding the regulation of human genetic technologies will determine how quickly and (...)
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  37. Symbol before concept: material engagement and the early development of society.Colin Renfrew - 2001 - In Ian Hodder (ed.), Archaeological theory today. Malden, MA: Blackwell. pp. 122--40.
  38. Analytic and Post-Analytic Philosophy of Education: Methodological Reflections.Colin W. Evers - 1998 - In Paul Heywood Hirst & Patricia White (eds.), Philosophy of Education: Major Themes in the Analytic Tradition. Routledge. pp. 1--120.
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  39.  66
    Popper's Views on Natural and Social Science.Colin George Frederick Simkin (ed.) - 1993 - New York: Brill.
    Explains Popper's views on natural and social science, ranging in Part I from metaphysical considerations to his interpretation of the formalism of quantum mechanics, and in Part II from the errors of historicism and holism to the roles of theoretical models, institutions, traditions and history.
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  40.  85
    Beyond Useful Knowledge: Developing the Subjective Self.Colin Wringe - 2015 - Journal of Philosophy of Education 49 (1):32-44.
    While not underestimating the value of useful knowledge and skills, it is suggested that education should also develop the subjective self of the learner. A distinction is drawn between an ‘additive’ view of education which simply furnishes the individual with knowledge and skills and a ‘transformative’ concept which concerns itself with changes to more central parts of the learner's self. In developing a concept of the subjective self, reference is made to the Enlightenment notion of the autonomous rational self and (...)
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  41.  32
    Dialectical Methods and the Stoicheia Paradigm in Plato’s Trilogy and Philebus.Colin C. Smith - 2019 - Plato Journal: The Journal of the International Plato Society 19:7-23.
    Plato’s Theaetetus, Sophist, and Statesman exhibit several related dialectical methods relevant to Platonic education: maieutic in Theaetetus, bifurcatory division in Sophist and Statesman, and non-bifurcatory division in Statesman, related to the ‘god-given’ method in Philebus. I consider the nature of each method through the letter or element paradigm, used to reflect on each method. At issue are the element’s appearances in given contexts, its fitness for communing with other elements like it in kind, and its own nature defined through its (...)
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  42.  9
    Understanding educational aims.Colin Wringe - 1988 - Boston: Allen & Unwin.
  43.  12
    Plato's Modern Enemies and the Theory of Natural Law.Colin Strang - 1955 - Philosophical Quarterly 5 (20):282-283.
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  44.  7
    Being good and living well: Three attempts to resolve an ambiguity.Colin Wringe - 1999 - Journal of Philosophy of Education 33 (2):287–293.
    The dichotomy between virtue and self‐interest or pleasure is held to face modern moral educators with a conflict between the interest of society and that of their pupils, as well as presenting obvious motivational difficulties. Three possibilities for mitigating this conflict are offered. First, it is argued that virtue is an essential constituent of our well‐being insofar as even undetected wickedness isolates us from others. Second, young people, alienated by the negative nature of conventional morality, may respond positively to certain (...)
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  45.  37
    Phenomenology as a Mystical Discipline.Colin Wilson - 2006 - Philosophy Now 56:15-19.
  46.  9
    The Origins and Consequences of Property Rights: Austrian, Public Choice, and Institutional Economics Perspectives.Colin Harris, Meina Cai, Ilia Murtazashvili & Jennifer Murtazashvili - 2020 - Cambridge University Press.
    Property rights are the rules governing ownership in society. This Element offers an analytical framework to understand the origins and consequences of property rights. It conceptualizes of the political economy of property rights as a concern with the follow questions: What explains the origins of economic and legal property rights? What are the consequences of different property rights institutions for wealth creation, conservation, and political order? Why do property institutions change? Why do legal reforms relating to property rights such as (...)
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  47. Realism, Science and Emancipation.Colin Wight - 2006 - In Kathryn Dean (ed.), Realism, Philosophy and Social Science. Palgrave-Macmillan. pp. 32.
  48.  6
    Science Fiction as Existentialism.Colin Wilson - 1978
  49. The Devil's Party: A History of Charlatan Messiahs.Colin Wilson - 2000 - Utopian Studies 11 (2):310-311.
  50.  6
    The musician as "outsider".Colin Wilson - 1987 - San Bernardino, Calif.: Borgo Press.
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