Results for 'Arnold Boyd Levison'

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  1. Shared Epistemic Responsibility.Boyd Millar - 2021 - Episteme 18 (4):493-506.
    It is widely acknowledged that individual moral obligations and responsibility entail shared (or joint) moral obligations and responsibility. However, whether individual epistemic obligations and responsibility entail shared epistemic obligations and responsibility is rarely discussed. Instead, most discussions of doxastic responsibility focus on individuals considered in isolation. In contrast to this standard approach, I maintain that focusing exclusively on individuals in isolation leads to a profoundly incomplete picture of what we're epistemically obligated to do and when we deserve epistemic blame. First, (...)
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  2. Colour constancy and Fregean representationalism.Boyd Millar - 2013 - Philosophical Studies 164 (1):219-231.
    All representationalists maintain that there is a necessary connection between an experience’s phenomenal character and intentional content; but there is a disagreement amongst representationalists regarding the nature of those intentional contents that are necessarily connected to phenomenal character. Russellian representationalists maintain that the relevant contents are composed of objects and/or properties, while Fregean representationalists maintain that the relevant contents are composed of modes of presentation of objects and properties. According to Fregean representationalists such as David Chalmers and Brad Thompson, the (...)
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  3. The Information Environment and Blameworthy Beliefs.Boyd Millar - 2019 - Social Epistemology 33 (6):525-537.
    Thanks to the advent of social media, large numbers of Americans believe outlandish falsehoods that have been widely debunked. Many of us have a tendency to fault the individuals who hold such beliefs. We naturally assume that the individuals who form and maintain such beliefs do so in virtue of having violated some epistemic obligation: perhaps they failed to scrutinize their sources, or failed to seek out the available competing evidence. I maintain that very many ordinary individuals who acquire outlandish (...)
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  4. Epistemic Obligations of the Laity.Boyd Millar - 2023 - Episteme 20 (2):232-246.
    Very often when the vast majority of experts agree on some scientific issue, laypeople nonetheless regularly consume articles, videos, lectures, etc., the principal claims of which are inconsistent with the expert consensus. Moreover, it is standardly assumed that it is entirely appropriate, and perhaps even obligatory, for laypeople to consume such anti-consensus material. I maintain that this standard assumption gets things backwards. Each of us is particularly vulnerable to false claims when we are not experts on some topic – such (...)
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  5. Naïve Realism and Illusion.Boyd Millar - 2015 - Ergo: An Open Access Journal of Philosophy 2:607-625.
    It is well-known that naïve realism has difficulty accommodating perceptual error. Recent discussion of the issue has focused on whether the naïve realist can accommodate hallucination by adopting disjunctivism. However, illusions are more difficult for the naïve realist to explain precisely because the disjunctivist solution is not available. I discuss what I take to be the two most plausible accounts of illusion available to the naïve realist. The first claims that illusions are cases in which you are prevented from perceiving (...)
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  6. The phenomenological directness of perceptual experience.Boyd Millar - 2014 - Philosophical Studies 170 (2):235-253.
    When you have a perceptual experience of a given physical object that object seems to be immediately present to you in a way it never does when you consciously think about or imagine it. Many philosophers have claimed that naïve realism (the view that to perceive is to stand in a primitive relation of acquaintance to the world) can provide a satisfying account of this phenomenological directness of perceptual experience while the content view (the view that to perceive is to (...)
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  7. The Phenomenological Problem of Perception.Boyd Millar - 2014 - Philosophy and Phenomenological Research 88 (3):625-654.
    A perceptual experience of a given object seems to make the object itself present to the perceiver’s mind. Many philosophers have claimed that naïve realism (the view that to perceive is to stand in a primitive relation of acquaintance to the world) provides a better account of this phenomenological directness of perceptual experience than does the content view (the view that to perceive is to represent the world to be a certain way). But the naïve realist account of this phenomenology (...)
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  8. Toward an Epistemology of Art.Arnold Cusmariu - 2016 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 3 (1):37-64.
    An epistemology of art has seemed problematic mainly because of arguments claiming that an essential element of a theory of knowledge, truth, has no place in aesthetic contexts. For, if it is objectively true that something is beautiful, it seems to follow that the predicate “is beautiful” expresses a property – a view asserted by Plato but denied by Hume and Kant. But then, if the belief that something is beautiful is not objectively true, we cannot be said to know (...)
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  9. Perceiving properties versus perceiving objects.Boyd Millar - 2022 - Analytic Philosophy 63 (2):99-117.
    The fact that you see some particular object seems to be due to the causal relation between your visual experience and that object, rather than to your experiences’ phenomenal character. On the one hand, whenever some phenomenal element of your experience stands in the right sort of causal relation to some object, your experience presents that object (your experience’s phenomenology doesn’t need to match that object). On the other hand, you can’t have a perceptual experience that presents some object unless (...)
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  10. Partisan Epistemology and Misplaced Trust.Boyd Millar - forthcoming - Episteme:1-21.
    The fact that each of us has significantly greater confidence in the claims of co-partisans – those belonging to groups with which we identify – explains, in large part, why so many people believe a significant amount of the misinformation they encounter. It's natural to assume that such misinformed partisan beliefs typically involve a rational failure of some kind, and philosophers and psychologists have defended various accounts of the nature of the rational failure purportedly involved. I argue that none of (...)
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  11. Learning to see.Boyd Millar - 2019 - Mind and Language 35 (5):601-620.
    The reports of individuals who have had their vision restored after a long period of blindness suggest that, immediately after regaining their vision, such individuals are not able to recognize shapes by vision alone. It is often assumed that the empirical literature on sight restoration tells us something important about the relationship between visual and tactile representations of shape. However, I maintain that, immediately after having their sight restored, at least some newly sighted individuals undergo visual experiences that instantiate basic (...)
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  12. Thinking with Sensations.Boyd Millar - 2017 - Journal of Philosophy 114 (3):134-154.
    If we acknowledge that a perceptual experience’s sensory phenomenology is not inherently representational, we face a puzzle. On the one hand, sensory phenomenology must play an intimate role in the perception of ordinary physical objects; but on the other hand, our experiences’ purely sensory element rarely captures our attention. I maintain that neither indirect realism nor the dual component theory provides a satisfactory solution to this puzzle: indirect realism is inconsistent with the fact that sensory phenomenology typically goes unnoticed by (...)
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  13. One self: The logic of experience.Arnold Zuboff - 1990 - Inquiry: An Interdisciplinary Journal of Philosophy 33 (1):39-68.
    Imagine that you and a duplicate of yourself are lying unconscious, next to each other, about to undergo a complete step-by-step exchange of bits of your bodies. It certainly seems that at no stage in this exchange of bits will you have thereby switched places with your duplicate. Yet it also seems that the end-result, with all the bits exchanged, will be essentially that of the two of you having switched places. Where will you awaken? I claim that one and (...)
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  14. The Healthy City Versus the Luxurious City in Plato’s Republic: Lessons about Consumption and Sustainability in a Globalizing Economy.ian Deweese-Boyd & Margaret Deweese-Boyd - 2007 - Contemporary Justice Review 10 (1):115-30.
    Early in Plato’s Republic, two cities are depicted, one healthy and one with “a fever”—the so- called luxurious city. The operative difference between these two cities is that the citizens of the latter “have surrendered themselves to the endless acquisition of money and have overstepped the limit of their necessities” (373d).i The luxury of this latter city requires the seizure of neighboring lands and consequently a standing army to defend those lands and the city’s wealth. According to the main character, (...)
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  15. “Lyric Theodicy: Gerard Manley Hopkins and the Problem of Hiddenness”.Ian Deweese-Boyd - 2015 - In Adam Green & Eleonore Stump (eds.), Hidden Divinity and Religious Belief. Cambridge: Cambridge University Press. pp. 260-277.
    The nineteenth century English Jesuit poet, Gerard Manley Hopkins struggled throughout his life with desolation over what he saw as a spiritually, intellectually and artistically unproductive life. During these periods, he experienced God’s absence in a particularly intense way. As he wrote in one sonnet, “my lament / Is cries countless, cries like dead letters sent / To dearest him that lives alas! away.” What Hopkins faced was the existential problem of suffering and hiddenness, a problem widely recognized by analytic (...)
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  16. Misinformation and the Limits of Individual Responsibility.Boyd Millar - 2021 - Social Epistemology Review and Reply Collective 10 (12):8-21.
    The issue of how best to combat the negative impacts of misinformation distributed via social media hangs on the following question: are there methods that most individuals can reasonably be expected to employ that would largely protect them from the negative impact that encountering misinformation on social media would otherwise have on their beliefs? If the answer is “yes,” then presumably individuals bear significant responsibility for those negative impacts; and, further, presumably there are feasible educational remedies for the problem of (...)
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  17. “Shōjo Savior: Princess Nausicaä, Ecological Pacifism, and The Green Gospel”.Ian Deweese-Boyd - 2009 - Journal of Religion and Popular Culture 21 (2).
    In the distant future, a thousand years after "The Seven Days of Fire"—the holocaust that rapacious industrialization spawned—the earth is a wasteland of sterile deserts and toxic jungles that threaten the survival of the few remaining human beings. This is the world of Hayao Miyazaki's film, Nausicaä of the Valley of the Wind. In this film, Miyazaki offers a vision of an alternative to the violent quest for dominion that has brought about this environmental degradation, through the struggle of the (...)
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  18. Love’s Perfection? Agape and Eros in Lars von Trier’s Breaking the Waves.ian Deweese-Boyd - 2009 - Studia Theologica 63 (1):126-41.
    In Lars von Trier’s Breaking the Waves, the protagonist Bess McNeill is often viewed as a Christ-figure, in particular, as an image of Christ’s love. In this essay, I address the feminist critique that taking Bess in this way represents a serious distortion of Christ's love, arguing that Bess need not be seen as endorsing a self-destructive and victimizing form of love that feminist critics rightly reject. Instead, I suggest that we can view her love as an indictment of the (...)
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  19. Flying the Flag of Rough Branch: Rethinking Post-September 11th Patriotism through the Writings of Wendell Berry.ian Deweese-Boyd & Margaret Deweese-Boyd - 2005 - Apalachian Journal 32 (2):214-232..
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    Taking Care: Self-Deception, Culpability and Control.Ian Deweese-Boyd - 2007 - Teorema: International Journal of Philosophy 26 (3):161-176.
    Whether self-deceivers can be held morally responsible for their self-deception is largely a question of whether they have the requisite control over the acquisition and maintenance of their self-deceptive beliefs. In response to challenges to the notion that self-deception is intentional or requires contradictory beliefs, models treating self-deception as a species of motivated belief have gained ascendancy. On such so-called deflationary accounts, anxiety, fear, or desire triggers psychological processes that produce bias in favor of the target belief with the result (...)
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  21. Sensory phenomenology and perceptual content.Boyd Millar - 2011 - Philosophical Quarterly 61 (244):558-576.
    The consensus in contemporary philosophy of mind is that how a perceptual experience represents the world to be is built into its sensory phenomenology. I defend an opposing view which I call ‘moderate separatism’, that an experience's sensory phenomenology does not determine how it represents the world to be. I argue for moderate separatism by pointing to two ordinary experiences which instantiate the same sensory phenomenology but differ with regard to their intentional content. Two experiences of an object reflected in (...)
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  22. Frege's Puzzle for Perception.Boyd Millar - 2016 - Philosophy and Phenomenological Research 93 (2):368-392.
    According to an influential variety of the representational view of perceptual experience—the singular content view—the contents of perceptual experiences include singular propositions partly composed of the particular physical object a given experience is about or of. The singular content view faces well-known difficulties accommodating hallucinations; I maintain that there is also an analogue of Frege's puzzle that poses a significant problem for this view. In fact, I believe that this puzzle presents difficulties for the theory that are unique to perception (...)
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  23. Peacocke’s trees.Boyd Millar - 2010 - Synthese 174 (3):445-461.
    In Sense and Content , Christopher Peacocke points out that two equally-sized trees at different distances from the perceiver are normally represented to be the same size, despite the fact that in a certain sense the nearer tree looks bigger ; he concludes on the basis of this observation that visual experiences possess irreducibly phenomenal properties. This argument has received the most attention of all of Peacocke’s arguments for separatism—the view that the intentional and phenomenal properties of experiences are independent (...)
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  24. The story of a brain.Arnold Zuboff - 1981 - In Douglas R. Hofstadter & Daniel C. Dennett (eds.), The Mind's I. Basic Books. pp. 202-212.
    Most people will agree that if my brain were made to have within it precisely the same pattern of activity that is in it now but through artificial means, as in its being fed all its stimulation through electrodes as it sits in a vat, an experience would result for me that would be subjectively indistinguishable from that I am now having. In ‘The Story of a Brain’ I ask whether the same subjective experience would be maintained in variations like (...)
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  25. The aesthetic field.Arnold Berleant - 1970 - Springfield, Ill.,: Thomas.
    The Aesthetic Field develops an account of aesthetic experience that distinguishes four mutually interacting factors: the creative factor represented primarily by the artist; the appreciative one by the viewer, listener, or reader; the objective factor by the art object, which is the focus of the experience; and the performative by the activator of the aesthetic occurrence. Each of these factors both affects all the others and is in turn influenced by them, so none can be adequately considered apart from them. (...)
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  26. Misperceiving properties.Boyd Millar - 2023 - Mind and Language 38 (2):431-445.
    Recently, a number of philosophers have argued that property illusions—cases in which we perceive a property, but that property is not the property it seems to us to be in virtue of our perceptual experience—and veridical illusions—cases in which we veridically perceive an object’s properties, but our experience of some specific property is nonetheless unsuccessful or illusory—can occur. I defend the contrary view. First, I maintain that there are compelling reasons to conclude that property illusions and veridical illusions can’t occur; (...)
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  27. The Open Future, Free Will and Divine Assurance: Responding to Three Common Objections to the Open View.Gregory Boyd - 2015 - European Journal for Philosophy of Religion 7 (3):207--222.
    In this essay I respond to three of the most forceful objections to the open view of the future. It is argued that a) open view advocates must deny bivalence; b) the open view offers no theodicy advantages over classical theism; and c) the open view can’t assure believers that God can work all things to the better. I argue that the first objection is premised on an inadequate assessment of future tensed propositions, the second is rooted in an inadequate (...)
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  28. The Prometheus Challenge.Arnold Cusmariu - 2017 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 4 (1):17-47.
    Degas, Manet, Picasso, Dali and Lipchitz produced works of art exemplifying a seeming impossibility: Not only combining incompatible attributes but doing so consistently with aesthetic strictures Horace formulated in Ars Poetica. The article explains how these artists were able to do this, achieving what some critics have called ‘a new art,’ ‘a miracle,’ and ‘a new metaphor.’ The article also argues that the author achieved the same result in sculpture by means of philosophical analysis – probably a first in the (...)
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  29. Semantic Epistemology Redux: Proof and Validity in Quantum Mechanics.Arnold Cusmariu - 2016 - Logos and Episteme 7 (3):287-303.
    Definitions I presented in a previous article as part of a semantic approach in epistemology assumed that the concept of derivability from standard logic held across all mathematical and scientific disciplines. The present article argues that this assumption is not true for quantum mechanics (QM) by showing that concepts of validity applicable to proofs in mathematics and in classical mechanics are inapplicable to proofs in QM. Because semantic epistemology must include this important theory, revision is necessary. The one I propose (...)
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  30. Appropriating Borges: The Weary Man, Utopia, and Globalism.Ian DeWeese-Boyd & Margaret DeWeese-Boyd - 2008 - Utopian Studies 19 (1):97 - 111.
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  31. Epistemic obligations and free speech.Boyd Millar - forthcoming - Analytic Philosophy.
    Largely thanks to Mill’s influence, the suggestion that the state ought to restrict the distribution of misinformation will strike most philosophers as implausible. Two of Mill’s influential assumptions are particularly relevant here: first, that free speech debates should focus on moral considerations such as the harm that certain forms of expression might cause; second, that false information causes minimal harm due to the fact that human beings are psychologically well equipped to distinguish truth and falsehood. However, in addition to our (...)
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  32. Nietzsche and Eternal Recurrence.Arnold Zuboff - 1973 - In Robert C. Solomon (ed.), Nietzsche: A Collection of Critical Essays. pp. 343-357.
    I critically examine Nietzsche’s argument in The Will to Power that all the detailed events of the world are repeating infinite times (on account of the merely finite possible arrangements of forces that constitute the world and the inevitability with which any arrangement of force must bring about its successors). Nietzsche celebrated this recurrence because of the power of belief in it to bring about a revaluation of values focused wholly on the value of one’s endlessly repeating life. Belief in (...)
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  33. P.F. Strawson on Punishment and the Hypothesis of Symbolic Retribution.Arnold Burms, Stefaan E. Cuypers & Benjamin de Mesel - 2024 - Philosophy (2):165-190.
    Strawson's view on punishment has been either neglected or recoiled from in contemporary scholarship on ‘Freedom and Resentment’ (FR). Strawson's alleged retributivism has made his view suspect and troublesome. In this article, we first argue, against the mainstream, that the punishment passage is an indispensable part of the main argument in FR (section 1) and elucidate in what sense Strawson can be called ‘a retributivist’ (section 2). We then elaborate our own hypothesis of symbolic retribution to explain the continuum between (...)
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  34. The Reliability of Epistemic Intuitions.Kenneth Boyd & Jennifer Nagel - 2014 - In Edouard Machery & O'Neill Elizabeth (eds.), Current Controversies in Experimental Philosophy. Routledge. pp. 109-127.
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  35. Re-thinking Aesthetics.Arnold Berleant - 1999 - Filozofski Vestnik 20 (2):25-33.
    This paper proposes a radical re-examination of the foundations of modern aesthetics. It urges that we replace the tradition of eighteenth century aesthetics, with its insistence on disinterestedness and the separateness of the aesthetic, and its problematic oppositions, such as the separation of sense from cognition. In their place it appeals to a more process-oriented, pluralistic account, one that takes note of varying cultural traditions in aesthetics, that recognizes the aesthetic as a complex of many forces and factors, and that (...)
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  36. The Prometheus Challenge Redux.Arnold Cusmariu - 2017 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 4 (2):175-209.
    Following up on its predecessor in this Journal, the article defends philosophy as a guide to making and analyzing art; identifies Cubist solutions to the Prometheus Challenge, including a novel analysis of Picasso’s Les Demoiselles d’Avignon; defines a new concept of aesthetic attitude; proves the compatibility of Prometheus Challenge artworks with logic; and explains why Plato would have welcomed such artworks in his ideal state.
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  37. The No‐Miracles Argument for Realism: Inference to an Unacceptable Explanation.Greg Frost-Arnold - 2010 - Philosophy of Science 77 (1):35-58.
    I argue that a certain type of naturalist should not accept a prominent version of the no-miracles argument (NMA). First, scientists (usually) do not accept explanations whose explanans-statements neither generate novel predictions nor unify apparently disparate established claims. Second, scientific realism (as it appears in the NMA) is an explanans that makes no new predictions and fails to unify disparate established claims. Third, many proponents of the NMA explicitly adopt a naturalism that forbids philosophy of science from using any methods (...)
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  38. Some Questions for Ecological Aesthetics.Arnold Berleant - 2016 - Environmental Philosophy 13 (1):123-135.
    Ecology has become a popular conceptual model in numerous fields of inquiry and it seems especially appropriate for environmental philosophy. Apart from its literal employment in biology, ecology has served as a useful metaphor that captures the interdependence of factors in a field of research. At the same time as ecology is suggestive, it cannot be followed literally or blindly. This paper considers the appropriateness of the uses to which ecology has been put in some recent discussions of architectural and (...)
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  39. Testifying understanding.Kenneth Boyd - 2017 - Episteme 14 (1):103-127.
    While it is widely acknowledged that knowledge can be acquired via testimony, it has been argued that understanding cannot. While there is no consensus about what the epistemic relationship of understanding consists in, I argue here that regardless of how understanding is conceived there are kinds of understanding that can be acquired through testimony: easy understanding and easy-s understanding. I address a number of aspects of understanding that might stand in the way of being able to acquire understanding through testimony, (...)
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  40. Environmental Sensibility.Arnold Berleant - 2014 - Studia Phaenomenologica 14:17-23.
    Aesthetics is fundamentally a theory of sensible experience. Its scope has expanded greatly from an initial centering on the arts and scenic nature to the full range of appreciative experience. Expanding the range of aesthetics raises challenging questions about the experience of appreciation. Traditional accounts are inadequate in their attempt to identify and illuminate the perceptual experiences that these new applications evoke. Considering the range of environmental and everyday occasions aesthetically changes aesthetics into a descriptive and not necessarily celebratory study (...)
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  41. Trustworthiness and truth: The epistemic pitfalls of internet accountability.Karen Frost-Arnold - 2014 - Episteme 11 (1):63-81.
    Since anonymous agents can spread misinformation with impunity, many people advocate for greater accountability for internet speech. This paper provides a veritistic argument that accountability mechanisms can cause significant epistemic problems for internet encyclopedias and social media communities. I show that accountability mechanisms can undermine both the dissemination of true beliefs and the detection of error. Drawing on social psychology and behavioral economics, I suggest alternative mechanisms for increasing the trustworthiness of internet communication.
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  42. Group Epistemology and Structural Factors in Online Group Polarization.Kenneth Boyd - 2023 - Episteme 20 (1):57-72.
    There have been many discussions recently from philosophers, cognitive scientists, and psychologists about group polarization, with online and social media environments in particular receiving a lot of attention, both because of people's increasing reliance on such environments for receiving and exchanging information and because such environments often allow individuals to selectively interact with those who are like-minded. My goal here is to argue that the group epistemologist can facilitate understanding the kinds of factors that drive group polarization in a way (...)
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  43. An Exchange on Disinterestedness.Arnold Berleant & Ronald Hepburn - 2003 - Contemporary Aesthetics 1.
    The idea of aesthetic disinterestedness has been a central concept in aesthetics since the late eighteenth century. This exchange offers a contemporary reconsideration of disinterestedness from different sides of the question.
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  44. Trusting scientific experts in an online world.Kenneth Boyd - 2022 - Synthese 200 (1):1-31.
    A perennial problem in social epistemology is the problem of expert testimony, specifically expert testimony regarding scientific issues: for example, while it is important for me to know information pertaining to anthropogenic climate change, vaccine safety, Covid-19, etc., I may lack the scientific background required to determine whether the information I come across is, in fact, true. Without being able to evaluate the science itself, then, I need to find trustworthy expert testifiers to listen to. A major project in social (...)
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  45. About Property Identity.Arnold Cusmariu - 1978 - Auslegung 5 (3):139-146.
    W.V.O. Quine has famously objected that (1) properties are philosophically suspect because (2) there is no entity without identity and (3) the synonymy criterion for property identity won't do because there's no such concept as synonymy. (2) and (3) may or may not be right but do not prove (1). I reply that Leiniz's Law handles property identity, as it does for everything else, then respond to a variety of objections and confusions.
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  46. The conflicted character of picture perception.Boyd Millar - 2006 - Journal of Aesthetics and Art Criticism 64 (4):471–477.
    It is often assumed that there is a perceptual conflict in looking at a picture since one sees both a two-dimensional surface and a three-dimensional scene simultaneously. In this paper, I argue that it is a mistake to think that looking at pictures requires the visual system to perform the special task of reconciling inconsistent impressions of space, or competing information from different depth cues. To the contrary, I suggest that there are good reasons to think that the perception of (...)
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  47. Epistemically Pernicious Groups and the Groupstrapping Problem.Kenneth Boyd - 2018 - Social Epistemology 33 (1):61-73.
    Recently, there has been growing concern that increased partisanship in news sources, as well as new ways in which people acquire information, has led to a proliferation of epistemic bubbles and echo chambers: in the former, one tends to acquire information from a limited range of sources, ones that generally support the kinds of beliefs that one already has, while the latter function in the same way, but possess the additional characteristic that certain beliefs are actively reinforced. Here I argue, (...)
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  48. Moral Understanding and Cooperative Testimony.Kenneth Boyd - 2020 - Canadian Journal of Philosophy 50 (1):18-33.
    It is has been argued that there is a problem with moral testimony: testimony is deferential, and basing judgments and actions on deferentially acquired knowledge prevents them from having moral worth. What morality perhaps requires of us, then, is that we understand why a proposition is true, but this is something that cannot be acquired through testimony. I argue here that testimony can be both deferential as well as cooperative, and that one can acquire moral understanding through cooperative testimony. The (...)
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  49. Chinese Architecture and Town Planning 1500 B. C. -A. D. 1911.Andrew Boyd - 1964 - Journal of Aesthetics and Art Criticism 22 (3):351-352.
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  50. A Methodology for Teaching Logic-Based Skills to Mathematics Students.Arnold Cusmariu - 2016 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 3 (3):259-292.
    Mathematics textbooks teach logical reasoning by example, a practice started by Euclid; while logic textbooks treat logic as a subject in its own right without practical application to mathematics. Stuck in the middle are students seeking mathematical proficiency and educators seeking to provide it. To assist them, the article explains in practical detail how to teach logic-based skills such as: making mathematical reasoning fully explicit; moving from step to step in a mathematical proof in logically correct ways; and checking to (...)
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