Results for 'Stewart Duncan'

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  1. Gassendi and Hobbes.Stewart Duncan & Antonia LoLordo - 2018 - In Stephen Gaukroger (ed.), Knowledge in Modern Philosophy. London: Bloomsbury. pp. 27-43.
    Gassendi and Hobbes knew each other, and their approaches to philosophy often seem similar. They both criticized the Cartesian epistemology of clear and distinct perception. Gassendi engaged at length with skepticism, and also rejected the Aristotelian notion of scientia, arguing instead for a probabilistic view that shows us how we can move on in the absence of certain and evident knowledge. Hobbes, in contrast, retained the notion of scientia, which is the best sort of knowledge and involves causal explanation. He (...)
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  2. Debating Materialism: Cavendish, Hobbes, and More.Stewart Duncan - 2012 - History of Philosophy Quarterly 29 (4):391-409.
    This paper discusses the materialist views of Margaret Cavendish, focusing on the relationships between her views and those of two of her contemporaries, Thomas Hobbes and Henry More. It argues for two main claims. First, Cavendish's views sit, often rather neatly, between those of Hobbes and More. She agreed with Hobbes on some issues and More on others, while carving out a distinctive alternative view. Secondly, the exchange between Hobbes, More, and Cavendish illustrates a more general puzzle about just what (...)
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  3. Leibniz's Mill Arguments Against Materialism.Stewart Duncan - 2012 - Philosophical Quarterly 62 (247):250-72.
    Leibniz's mill argument in 'Monadology' 17 is a well-known but puzzling argument against materialism about the mind. I approach the mill argument by considering other places where Leibniz gave similar arguments, using the same example of the machinery of a mill and reaching the same anti-materialist conclusion. In a 1702 letter to Bayle, Leibniz gave a mill argument that moves from his definition of perception (as the expression of a multitude by a simple) to the anti-materialist conclusion. Soon afterwards, in (...)
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  4. Morality and Relations before Hume.Stewart Duncan - manuscript
    In his Enquiry concerning the Principles of Morals David Hume said that a group of earlier modern philosophers, beginning with Malebranche, held that morality was founded on relations. In this paper I follow up on that suggestion by investigating pre-Humean views in moral philosophy according to which morality is founded on relations. I do that by looking at the work of Nicolas Malebranche, John Locke, and Samuel Clarke. Each of them talked prominently about relations in their accounts of basic aspects (...)
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  5. Toland, Leibniz, and Active Matter.Stewart Duncan - 2013 - Oxford Studies in Early Modern Philosophy 6:249-78.
    In the early years of the eighteenth century Leibniz had several interactions with John Toland. These included, from 1702 to 1704, discussions of materialism. Those discussions culminated with the consideration of Toland's 1704 Letters to Serena, where Toland argued that matter is necessarily active. In this paper I argue for two main theses about this exchange and its consequences for our wider understanding. The first is that, despite many claims that Toland was at the time of Letters to Serena a (...)
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  6. Hobbes on Powers, Accidents, and Motions.Stewart Duncan - 2024 - In Sebastian Bender & Dominik Perler (eds.), Powers and Abilities in Early Modern Philosophy. Routledge. pp. 126–145.
    Thomas Hobbes often includes powers and abilities in his descriptions of the world. Meanwhile, Hobbes’s philosophical picture of the world appears quite reductive, and he seems sometimes to say that nothing exists but bodies in motion. In more extreme versions of such a picture, there would be no room for powers. Hobbes is not an eliminativist about powers, but his view does tend toward ontological minimalism. It would be good to have an account of what Hobbes thinks powers are, and (...)
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  7. Hobbes, Signification, and Insignificant Names.Stewart Duncan - 2011 - Hobbes Studies 24 (2):158-178.
    The notion of signification is an important part of Hobbes's philosophy of language. It also has broader relevance, as Hobbes argues that key terms used by his opponents are insignificant. However Hobbes's talk about names' signification is puzzling, as he appears to have advocated conflicting views. This paper argues that Hobbes endorsed two different views of names' signification in two different contexts. When stating his theoretical views about signification, Hobbes claimed that names signify ideas. Elsewhere he talked as if words (...)
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  8. Locke, God, and Materialism.Stewart Duncan - 2021 - Oxford Studies in Early Modern Philosophy 10:101-31.
    This paper investigates Locke’s views about materialism, by looking at the discussion in Essay IV.x. There Locke---after giving a cosmological argument for the existence of God---argues that God could not be material, and that matter alone could never produce thought. In discussing the chapter, I pay particular attention to some comparisons between Locke’s position and those of two other seventeenth-century philosophers, René Descartes and Ralph Cudworth. -/- Making use of those comparisons, I argue for two main claims. The first is (...)
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  9. Knowledge of God in Leviathan.Stewart Duncan - 2005 - History of Philosophy Quarterly 22 (1):31-48.
    Hobbes denies in Leviathan that we have an idea of God. He does think, though, that God exists, and does not even deny that we can think about God, even though he says we have no idea of God. There is, Hobbes thinks, another cognitive mechanism by means of which we can think about God. That mechanism allows us only to think a few things about God though. This constrains what Hobbes can say about our knowledge of God, and grounds (...)
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  10. Hobbes's Materialism in the Early 1640s.Stewart Duncan - 2005 - British Journal for the History of Philosophy 13 (3):437 – 448.
    I argue that Hobbes isn't really a materialist in the early 1640s (in, e.g., the Third Objections to Descartes's Meditations). That is, he doesn't assert that bodies are the only substances. However, he does think that bodies are the only substances we can think about using imagistic ideas.
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  11. Hobbes on Language: Propositions, Truth, and Absurdity.Stewart Duncan - 2016 - In A. P. Martinich & Kinch Hoekstra (eds.), The Oxford Handbook of Thomas Hobbes. Oxford University Press. pp. 57-72.
    Language was central to Hobbes's understanding of human beings and their mental abilities, and criticism of other philosophers' uses of language became a favorite critical tool for him. This paper connects Hobbes's theories about language to his criticisms of others' language, examining Hobbes's theories of propositions and truth, and how they relate to his claims that various sorts of proposition are absurd. It considers whether Hobbes in fact means anything more by 'absurd' than 'false'. And it pays particular attention to (...)
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  12. Leibniz on Hobbes’s Materialism.Stewart Duncan - 2010 - Studies in History and Philosophy of Science Part A 41 (1):11-18.
    I consider Leibniz's thoughts about Hobbes's materialism, focusing on his less-discussed later thoughts about the topic. Leibniz understood Hobbes to have argued for his materialism from his imagistic theory of ideas. Leibniz offered several criticisms of this argument and the resulting materialism itself. Several of these criticisms occur in texts in which Leibniz was engaging with the generation of British philosophers after Hobbes. Of particular interest is Leibniz's correspondence with Damaris Masham. Leibniz may have been trying to communicate with Locke, (...)
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  13. Locke and his Critics on the Possibility of Material Minds.Stewart Duncan - manuscript
    Draft for Wolfe and Symons (ed.), History and Philosophy of Materialism. This chapter looks at the discussion of materialism in John Locke’s Essay concerning Human Understanding, and then at parts of the Anglophone reaction to those discussions. It considers the early criticisms of Locke by Edward Stillingfleet and the anonymous author of three sets of Remarks on Locke’s Essay. It then looks at some other ways in which readers reacted to Locke’s discussions: the views of Anthony Collins and John Toland, (...)
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  14. Leibniz on the Expression of God.Stewart Duncan - 2015 - Ergo: An Open Access Journal of Philosophy 2:83-103.
    Leibniz frequently uses the notion of expression, but it is not easy to see just how he understood that relation. This paper focuses on the particular case of the expression of God, which is prominent in the 'Discourse on Metaphysics'. The treatment of expression there suggests several questions. Which substances did Leibniz believe expressed God? Why did Leibniz believe those substances expressed God? And did he believe that all substances expressed God in the same way and for the same reasons? (...)
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  15. Materialism and the Activity of Matter in Seventeenth‐Century European Philosophy.Stewart Duncan - 2016 - Philosophy Compass 11 (11):671-680.
    Early modern debates about the nature of matter interacted with debates about whether matter could think. In particular, some philosophers (e.g., Cudworth and Leibniz) objected to materialism about the human mind on the grounds that matter is passive, thinking things are active, and one cannot make an active thing out of passive material. This paper begins by looking at two seventeenth-century materialist views (Hobbes’s, and one suggested but not endorsed by Locke) before considering that objection (which I call here the (...)
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  16. Minds Everywhere: Margaret Cavendish's Anti-Mechanist Materialism.Stewart Duncan - manuscript
    This paper considers Margaret Cavendish's distinctive anti-mechanist materialism, focusing on her 1664 Philosophical Letters, in which she discusses the views of Hobbes, Descartes, and More, among others. The paper examines Cavendish's views about natural, material souls: the soul of nature, the souls of finite individuals, and the relation between them. After briefly digressing to look at Cavendish's views about divine, supernatural souls, the paper then turns to the reasons for Cavendish's disagreement with mechanist accounts. There are disagreements over the explanation (...)
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  17. Mind and Body in Early Modern Philosophy.Stewart Duncan - 2016 - Routledge Encyclopedia of Philosophy Online.
    A survey of the issue. Topics include Descartes; early critics of Descartes; occasionalism and pre-established harmony; materialism; idealism; views about animal minds; and simplicity.
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  18. Hobbes, Universal Names, and Nominalism.Stewart Duncan - 2017 - In Stefano Di Bella & Tad M. Schmaltz (eds.), The Problem of Universals in Early Modern Philosophy. New York, NY: Oxford University Press.
    Thomas Hobbes was, rather famously, a nominalist. The core of that nominalism is the belief that the only universal things are universal names: there are no universal objects, or universal ideas. This paper looks at what Hobbes's views about universal names were, how they evolved over time, and how Hobbes argued for them. The remainder of the paper considers two objections to Hobbes's view: a criticism made by several of Hobbes's contemporaries, that Hobbes's view could not account for people saying (...)
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  19. Margaret Cavendish, Environmental Ethics, and Panpsychism.Stewart Duncan - manuscript
    Margaret Cavendish (1623-73) held a number of surprising philosophical views. These included a materialist panpsychism, and some views in what we might call environmental ethics. Panpsychism, though certainly not unheard of, is still often a surprising view. Views in environmental ethics - even just views that involve a measure of environmental concern - are unusual to find in early modern European philosophy. Cavendish held both of these surprising views. One might suspect that panpsychism provides some reasons for environmental concern. I (...)
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  20. Cudworth as a Critic of Hobbes.Stewart Duncan - 2021 - In Marcus P. Adams (ed.), A Companion to Hobbes. Hoboken, NJ: Wiley-Blackwell. pp. 398-412.
    This chapter considers Ralph Cudworth as a philosophical critic of Hobbes. Cudworth saw Hobbes as a representative of the three views he was attacking: atheism, determinism, and the denial that morality is eternal and immutable. Moreover, he did not just criticize Hobbes by assuming that a general critique of those views applied to Hobbes’s particular case. Rather, he singled out Hobbes, often by quoting him, and argued against the distinctively Hobbesian positions he had identified. In this chapter I look at (...)
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  21. Hobbes on the Signification of Evaluative Language.Stewart Duncan - 2019 - Hobbes Studies 32 (2):159-178.
    Hobbes repeatedly expressed concerns about moral and political language, e.g., about the bad consequences of various uses and misuses of language. He did not simply focus on the consequences though. He also attempted to understand the problems, using the central semantic notion in his philosophy of language, signification. Hobbes, in both the Elements of Law and Leviathan, argues that a wide variety of terms – including ‘good’, ‘bad’, and the names of virtues and vices – have a double and inconstant (...)
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  22. Early Modern Accounts of Epicureanism.Stewart Duncan & Antonia LoLordo - forthcoming - In Jacob Klein & Nathan Powers (eds.), The Oxford Handbook of Hellenistic Philosophy. Oxford University Press.
    We look at some interesting and important episodes in the life of early modern Epicureanism, focusing on natural philosophy. We begin with two early moderns who had a great deal to say about ancient Epicureanism: Pierre Gassendi and Ralph Cudworth. Looking at how Gassendi and Cudworth conceived of Epicureanism gives us a sense of what the early moderns considered important in the ancient tradition. It also points us towards three main themes of early modern Epicureanism in natural philosophy, which we (...)
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  23. Toland and Locke in the Leibniz-Burnett Correspondence.Stewart Duncan - 2017 - Locke Studies 17:117-141.
    Leibniz's correspondence with Thomas Burnett of Kemnay is probably best known for Leibniz's attempts to communicate with Locke via Burnett. But Burnett was also, more generally a source of English intellectual news for Leibniz. As such, Burnett provided an important part of the context in which Locke was presented to and understood by Leibniz. This paper examines the Leibniz-Burnett correspondence, and argues against Jolley's suggestion that "the context in which Leibniz learned about Locke was primarily a theological one". That said, (...)
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  24. Materialism.Stewart Duncan - 2013 - In S. A. Lloyd (ed.), Continuum Companion to Hobbes. Continuum.
    This is a short (1,000 word) introduction to Hobbes's materialism, covering (briefly) such issues as what the relevant notion of materialism is, Hobbes's debate with Descartes, and what Hobbes's arguments for materialism were.
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  25. Hume and a Worry about Simplicity.Stewart Duncan - 2009 - History of Philosophy Quarterly 26 (2):139-157.
    I discuss Hume's views about whether simplicity and generality are positive features of explanations. In criticizing Hobbes and others who base their systems of morality on self interest, Hume diagnoses their errors as resulting from a "love of simplicity". These worries about whether simplicity is a positive feature of explanations emerge in Hume's thinking over time. But Hume does not completely reject the idea that it's good to seek simple explanations. What Hume thinks we need is good judgment about when (...)
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  26. Hobbes: Metaphysics and Method.Stewart D. R. Duncan - 2003 - Dissertation, Rutgers the State University of New Jersey - New Brunswick
    This dissertation discusses the work of Thomas Hobbes, and has two main themes. The first is Hobbes's materialism, and the second is Hobbes's relationships to other philosophers, in particular his place in the mechanist movement that is said to have replaced Aristotelianism as the dominant philosophy in the seventeenth century. -/- I argue that Hobbes does not, for most of his career, believe the general materialist view that bodies are the only substances. He believes, rather, that ideas, which are our (...)
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  27. The Well-Ordered Universe: The Philosophy of Margaret Cavendish by Deborah A. Boyle. [REVIEW]Stewart Duncan - 2019 - Journal of the History of Philosophy 57 (2):349-350.
    Deborah Boyle's book is a splendid addition to the literature on the philosophy of Margaret Cavendish. It provides an overview of Cavendish's philosophical work, from her panpsychist materialism, through her views about human motivation and general political philosophy, to views about gender, health, and humans' relation to the rest of the natural world. Boyle emphasizes themes of order and regularity, but does not argue that there is a strong systematic connection between Cavendish's views. Indeed, she makes a point of noting (...)
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  28. Review of Margaret Cavendish, Observations upon Experimental Philosophy, edited by Eugene Marshall. [REVIEW]Stewart Duncan - 2018 - British Journal for the History of Philosophy 26 (3):617-9.
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  29. Comments on Larry May, Limiting Leviathan. [REVIEW]Stewart Duncan - 2014 - Hobbes Studies 27 (2):185-190.
    This paper discusses two aspects of Larry May's book Limiting Leviathan. First it discusses a passage in Leviathan, to which May draws attention, in which Hobbes connects obligation to "that, which in the disputations of scholars is called absurdity". Secondly it looks at the book's discussion of Hobbes and pacifist attitudes, with reference to Hobbes's contemporary critic John Eachard.
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  30. Review of James R. Martel, Subverting the Leviathan. [REVIEW]Stewart Duncan - 2009 - Restoration, Studies in English Literary Culture, 1660-1700 33:57-9.
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  31. Review of Jonathan S. Marko, Measuring the Distance between Locke and Toland. [REVIEW]Stewart Duncan - 2018 - Locke Studies 18.
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  32. Review of Tom Sorell and Luc Foisneau (ed.), Leviathan after 350 Years. [REVIEW]Stewart Duncan - 2006 - Philosophical Quarterly 56 (225):614-6.
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  33. Materialism from Hobbes to Locke: by Stewart Duncan, New York, Oxford University Press, 2022, pp. 240, £ 56.00 (hb), ISBN 9780197613009. [REVIEW]Ruth Boeker - 2024 - British Journal for the History of Philosophy 32 (1):231-237.
    Stewart Duncan’s excellent book Materialism from Hobbes to Locke offers an insightful study of the debates concerning materialism during the seventeenth century. When we hear the expression ‘materialism’, we often associate with it the question of whether the human mind is an entirely material entity. Although the question of whether the human mind is material plays an important role throughout the seventeenth-century debates examined in this book, Duncan offers a broader understanding of materialism that is not restricted (...)
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  34. Computability, Notation, and de re Knowledge of Numbers.Stewart Shapiro, Eric Snyder & Richard Samuels - 2022 - Philosophies 1 (7).
    Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of which number is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of notation. The purpose of this article is to explore the relationship between (...)
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  35. Ditching Dependence and Determination: Or, How to Wear the Crazy Trousers.Michael Duncan, Kristie Miller & James Norton - 2021 - Synthese 198 (1):395–418.
    This paper defends Flatland—the view that there exist neither determination nor dependence relations, and that everything is therefore fundamental—from the objection from explanatory inefficacy. According to that objection, Flatland is unattractive because it is unable to explain either the appearance as of there being determination relations, or the appearance as of there being dependence relations. We show how the Flatlander can meet the first challenge by offering four strategies—reducing, eliminating, untangling and omnizing—which, jointly, explain the appearance as of there being (...)
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  36. A Defense of the (Almost) Equal Weight View.Stewart Cohen - 2013 - In David Phiroze Christensen & Jennifer Lackey (eds.), The Epistemology of Disagreement: New Essays. Oxford, UK: Oxford University Press. pp. 98-117.
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  37. Public Trust, Institutional Legitimacy, and the Use of Algorithms in Criminal Justice.Duncan Purves & Jeremy Davis - 2022 - Public Affairs Quarterly 36 (2):136-162.
    A common criticism of the use of algorithms in criminal justice is that algorithms and their determinations are in some sense ‘opaque’—that is, difficult or impossible to understand, whether because of their complexity or because of intellectual property protections. Scholars have noted some key problems with opacity, including that opacity can mask unfair treatment and threaten public accountability. In this paper, we explore a different but related concern with algorithmic opacity, which centers on the role of public trust in grounding (...)
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  38. Williamson on Gettier Cases and Epistemic Logic.Stewart Cohen & Juan Comesaña - 2013 - Inquiry: An Interdisciplinary Journal of Philosophy 56 (1):15-29.
    Timothy Williamson has fruitfully exploited formal resources to shed considerable light on the nature of knowledge. In the paper under examination, Williamson turns his attention to Gettier cases, showing how they can be motivated formally. At the same time, he disparages the kind of justification he thinks gives rise to these cases. He favors instead his own notion of justification for which Gettier cases cannot arise. We take issue both with his disparagement of the kind of justification that figures in (...)
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  39. Faces in the Clouds: A New Theory of Religion.Stewart Guthrie - 1993 - New York and Oxford: Oup Usa.
    Guthrie contends that religion can best be understood as systematic anthropomorphism - the attribution of human characteristics to nonhuman things and events. Religion, he says, consists of seeing the world as human like. He offers a fascinating array of examples to show how this strategy pervades secular life and how it characterizes religious experience.
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  40. Mental Illness and Moral Discernment: A Clinical Psychiatric Perspective.Duncan A. P. Angus & Marion L. S. Carson - 2020 - European Journal for Philosophy of Religion 12 (4):191-211.
    As a contribution to a wider discussion on moral discernment in theological anthropology, this paper seeks to answer the question “What is the impact of mental illness on an individual’s ability to make moral decisions?” Written from a clinical psychiatric perspective, it considers recent contributions from psychology, neuropsychology and imaging technology. It notes that the popular conception that mental illness necessarily robs an individual of moral responsibility is largely unfounded. Most people who suffer from mental health problems do not lose (...)
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  41.  38
    Restricted nominalism about number and its problems.Stewart Shapiro, Richard Samuels & Eric Snyder - 2024 - Synthese 203 (5):1-23.
    Hofweber (Ontology and the ambitions of metaphysics, Oxford University Press, 2016) argues for a thesis he calls “internalism” with respect to natural number discourse: no expressions purporting to refer to natural numbers in fact refer, and no apparent quantification over natural numbers actually involves quantification over natural numbers as objects. He argues that while internalism leaves open the question of whether other kinds of abstracta exist, it precludes the existence of natural numbers, thus establishing what he calls “restricted nominalism” about (...)
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  42. Postcolonial Liberalism.Duncan Ivison - 2002 - Cambridge University Press.
    Postcolonial Liberalism presents a compelling account of the challenges to liberal political theory by claims to cultural and political autonomy and land rights made by indigenous peoples today. It also confronts the sensitive issue of how liberalism has been used to justify and legitimate colonialism. Ivison argues that there is a pressing need to re-shape liberal thought to become more receptive to indigenous aspirations and modes of being. What is distinctive about the book is the middle way it charts between (...)
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  43. Historical Injustice.Duncan Ivison - 2009 - In John S. Dryzek, Bonnie Honig & Anne Phillips (eds.), The Oxford Handbook of Political Theory. Oxford University Press.
    This article examines the concept of historical injustice in the context of contemporary political theory. It examines the moral consequences of historical injustice for the descendants of both the perpetrators and the victims and outlines the six questions that any plausible defence of the idea of making reparations for past injustices must deal with. It suggests that taking historical injustice seriously is compatible with moral cosmopolitanism and it also helps with the understanding the nature of various kinds of inequalities that (...)
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  44. Rationality and Truth.Stewart Cohen & Juan Comesaña - forthcoming - In Julien Dutant & Fabian Dorsch (eds.), The New Evil Demon. Oxford University Press.
    The traditional view in epistemology is that we must distinguish between being rational and being right (that is also, by the way, the traditional view about practical rationality). In his paper in this volume, Williamson proposes an alternative view according to which only beliefs that amount to knowledge are rational (and, thus, no false belief is rational). It is healthy to challenge tradition, in philosophy as much as elsewhere. But, in this instance, we think that tradition has it right. In (...)
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  45. Rights.Duncan Ivison - 2008 - Acumen Publishing/Routledge.
    The language of rights pervades modern social and political discourse and yet there is deep disagreement amongst citizens, politicians and philosophers about just what they mean. Who has them? Who should have them? Who can claim them? What are the grounds upon which they can be claimed? How are they related to other important moral and political values such as community, virtue, autonomy, democracy and social justice? In this book, Duncan Ivison offers a unique and accessible integration of, and (...)
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  46. Locke, liberalism and empire.Duncan Ivison - 2003 - In Peter R. Anstey (ed.), The Philosophy of John Locke: New Perspectives. Routledge. pp. 86--105.
    What does the 'colonialist' reading of Locke's political theory suggest about the relationship between liberalism and colonialism in general, as well as the pre-history of liberalism in particular?
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  47. Williamson on Gettier Cases in Epistemic Logic and the Knowledge Norm for Rational Belief: A Reply to a Reply to a Reply.Stewart Cohen & Juan Comesaña - 2013 - Inquiry: An Interdisciplinary Journal of Philosophy 56 (4):400-415.
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  48. Four Conceptions of Liberty as a Political Value.Duncan Ivison - 2023 - In Dimitrios Karmis & Jocyn Maclure (eds.), Civic Freedom in an Age of Diversity. pp. 393-411.
    What would it mean to have a suitably ‘realistic’ account of political liberty? On the one hand, I don’t think we can properly understand liberty without an underlying account of personhood or agency.2 In making sense of liberty, we need to ask: What kind of agency does it presuppose or promote? What kind of independence do we care most about? What does it mean to exercise control, or to be self-guiding, in the kind of world we live in today? At (...)
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  49. Democratic Trust and Injustice.Duncan Ivison - 2023 - Journal of Social and Political Philosophy 2 (1):78-94.
    Trust is a crucial condition for the legitimacy and effectiveness of democratic institutions in conditions of deep diversity and enduring injustices. Liberal democratic societies require forms of engagement and deliberation that require trustful relations between citizens: trust is a necessary condition for securing and sustaining just institutions and practices. Establishing trust is hard when there is a lingering suspicion that the institutions citizens are subject to are illegitimate or undermine their ability to participate and deliberate on equal terms. The promise (...)
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  50. Support for Geometric Pooling.Jean Baccelli & Rush T. Stewart - 2023 - Review of Symbolic Logic 16 (1):298-337.
    Supra-Bayesianism is the Bayesian response to learning the opinions of others. Probability pooling constitutes an alternative response. One natural question is whether there are cases where probability pooling gives the supra-Bayesian result. This has been called the problem of Bayes-compatibility for pooling functions. It is known that in a common prior setting, under standard assumptions, linear pooling cannot be nontrivially Bayes-compatible. We show by contrast that geometric pooling can be nontrivially Bayes-compatible. Indeed, we show that, under certain assumptions, geometric and (...)
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