Results for 'The Hole Argument'

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  1. The Hole Argument.Oliver Pooley - 2021 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to the Philosophy of Physics. New York, USA: Routledge. pp. 145-158.
    This paper reviews the hole argument as an argument against spacetime substantivalism. After a careful presentation of the argument itself, I critically review possible responses.
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  2. Closing the Hole Argument.Hans Halvorson & John Byron Manchak - forthcoming - British Journal for the Philosophy of Science.
    The hole argument purportedly shows that spacetime substantivalism implies a pernicious form of indeterminism. We show that the argument is seductive only because it mistakes a trivial claim (viz. there are isomorphic models) for a significant claim (viz. there are hole isomorphisms). We prove that the latter claim is false -- thereby closing the debate about whether substantivalism implies indeterminism.
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  3. Regarding the ‘Hole Argument’.James Owen Weatherall - 2018 - British Journal for the Philosophy of Science 69 (2):329-350.
    I argue that the hole argument is based on a misleading use of the mathematical formalism of general relativity. If one is attentive to mathematical practice, I will argue, the hole argument is blocked. _1._ Introduction _2._ A Warmup Exercise _3._ The Hole Argument _4._ An Argument from Classical Spacetime Theory _5._ The Hole Argument Revisited.
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  4. Regarding the ‘Hole Argument’.James Owen Weatherall - 2016 - British Journal for the Philosophy of Science:axw012.
    I argue that the Hole Argument is based on a misleading use of the mathematical formalism of general relativity. If one is attentive to mathematical practice, I will argue, the Hole Argument is blocked.
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  5. Counterparts, Determinism, and the Hole Argument.Franciszek Cudek - forthcoming - British Journal for the Philosophy of Science.
    The hole argument concludes that substantivalism about spacetime entails the radical indeterminism of the general theory of relativity (GR). In this paper, I amend and defend a response to the hole argument first proposed by Butterfield (1989) that relies on the idea of counterpart substantivalism. My amendment clarifies and develops the metaphysical presuppositions of counterpart substantivalism and its relation to various definitions of determinism. My defence consists of two claims. First, contra Weatherall (2018) and others: the (...)
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  6.  91
    The Hole Argument in Homotopy Type Theory.James Ladyman & Stuart Presnell - 2020 - Foundations of Physics 50 (4):319-329.
    The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory, to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role (...)
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  7.  50
    The Hole Argument, take n.John Dougherty - 2020 - Foundations of Physics 50 (4):330-347.
    I apply homotopy type theory to the hole argument as formulated by Earman and Norton. I argue that HoTT gives a precise sense in which diffeomorphism-related Lorentzian manifolds represent the same spacetime, undermining Earman and Norton’s verificationist dilemma and common formulations of the hole argument. However, adopting this account does not alleviate worries about determinism: general relativity formulated on Lorentzian manifolds is indeterministic using this standard of sameness and the natural formalization of determinism in HoTT. Fixing (...)
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  8. The Hole Argument.John D. Norton - 1988 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:56 - 64.
    I give an informal outline of the hole argument which shows that spacetime substantivalism leads to an undesirable indeterminism in a broad class of spacetime theories. This form of the argument depends on the selection of differentiable manifolds within a spacetime theory as representing spacetime. I consider the conditions under which the argument can be extended to address versions of spacetime substantivalism which select these differentiable manifolds plus some further structure to represent spacetime. Finally, I respond (...)
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  9.  40
    The Hole Argument Against Everything.Joshua Norton - 2020 - Foundations of Physics 50 (4):360-378.
    The Hole Argument was originally formulated by Einstein and it haunted him as he struggled to understand the meaning of spacetime coordinates in the context of the diffeomorphism invariance of general relativity. This argument has since been put to philosophical use by Earman and Norton to argue against a substantival conception of spacetime. In the present work I demonstrate how Earman and Norton’s Hole Argument can be extended to exclude everything and not merely substantival manifolds. (...)
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  10.  69
    Disregarding the 'Hole Argument'.Bryan W. Roberts - unknown
    Jim Weatherall has suggested that Einstein's hole argument, as presented by Earman and Norton, is based on a misleading use of mathematics. I argue on the contrary that Weatherall demands an implausible restriction on how mathematics is used. The hole argument, on the other hand, is in no new danger at all.
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  11. Einstein algebras and the hole argument.Jonathan Bain - 2003 - Philosophy of Science 70 (5):1073-1085.
    Einstein algebras have been suggested (Earman 1989) and rejected (Rynasiewicz 1992) as a way to avoid the hole argument against spacetime substantivalism. In this article, I debate their merits and faults. In particular, I suggest that a gauge‐invariant interpretation of Einstein algebras that avoids the hole argument can be associated with one approach to quantizing gravity, and, for this reason, is at least as well motivated as sophisticated substantivalist and relationalist interpretations of the standard tensor formalism.
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  12. Bringing the hole argument back in the loop: A response to Pooley.Dean Rickles - 2006 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 37 (2):381-387.
  13. The Hole Argument without the notion of isomorphism.Joanna Luc - 2024 - Synthese 203 (3):1-28.
    In this paper, I argue that the Hole Argument can be formulated without using the notion of isomorphism, and for this reason it is not threatened by the criticism of Halvorson and Manchak (Br J Philos Sci, 2022. https://doi.org/10.1086/719193). Following Earman and Norton (Br J Philos Sci 38, pp. 515–525, 1987), I divide the Hole Argument into two steps: the proof of the Gauge Theorem and the transition from the Gauge Theorem to the conclusion of radical (...)
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  14. Regarding the `Hole Argument' and the `Problem of Time'.Karim P. Y. Thebault & Sean Gryb - 2016 - Philosophy of Science 83 (4):563-584.
    The canonical formalism of general relativity affords a particularly interesting characterisation of the infamous hole argument. It also provides a natural formalism in which to relate the hole argument to the problem of time in classical and quantum gravity. In this paper we examine the connection between these two much discussed problems in the foundations of spacetime theory along two interrelated lines. First, from a formal perspective, we consider the extent to which the two problems can (...)
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  15.  60
    Einstein, the Hole Argument and the Reality of Space.John D. Norton - 1982 - In John Norton (ed.).
  16.  64
    Mathematical Responses to the Hole Argument: Then and Now.Clara Bradley & James Owen Weatherall - 2022 - Philosophy of Science 89 (5):1223-1232.
    We argue that several apparently distinct responses to the hole argument, all invoking formal or mathematical considerations, should be viewed as a unified “mathematical response.” We then consider and rebut two prominent critiques of the mathematical response before reflecting on what is ultimately at issue in this literature.
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  17. Algebraic substantivalism and the hole argument.Jonathan Bain - manuscript
    Algebraic substantivalism, as an interpretation of general relativity formulated in the Einstein algebra formalism, avoids the hole argument against manifold substantivalism. In this essay, I argue that this claim is well-founded. I first identify the hole argument as an argument against a specific form of semantic realism with respect to spacetime. I then consider algebraic substantivalism as an alternative form of semantic realism. In between, I justify this alternative form by reviewing the Einstein algebra formalism (...)
     
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  18. A new spin on the hole argument.Dean Rickles - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (3):415-434.
    This brief paper shows how an exact analogue of Einstein's original hole argument can be constructed in the loop representation of quantum gravity. The new argument is based on the embedding of spin-networks in a manifold and the action of the diffeomorphism constraint on them. The implications of this result are then discussed. I argue that the conclusions of many physicists working on loop quantum gravity---Rovelli and Smolin in particular---that the loop representation uniquely supports relationalism are unfounded.
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  19. The lessons of the hole argument.Robert Rynasiewicz - 1994 - British Journal for the Philosophy of Science 45 (2):407-436.
  20.  30
    Representation and Spacetime: The Hole Argument Revisited.Aboutorab Yaghmaie, Bijan Ahmadi Kakavandi, Saeed Masoumi & Morteza Moniri - 2022 - International Studies in the Philosophy of Science 35 (2):171-188.
    Ladyman and Presnell have recently argued that the Hole argument is naturally resolved when spacetime is represented within homotopy type theory rather than set theory. The core idea behind their proposal is that the argument does not confront us with any indeterminism, since the set-theoretically different representations of spacetime involved in the argument are homotopy type-theoretically identical. In this article, we will offer a new resolution based on ZFC set theory to the argument. It neither (...)
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  21.  55
    New Perspectives on the Hole Argument.Bryan W. Roberts & James Owen Weatherall - 2020 - Foundations of Physics 50 (4):217-227.
    This special issue of Foundations of Physics collects together articles representing some recent new perspectives on the hole argument in the history and philosophy of physics. Our task here is to introduce those new perspectives.
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  22.  88
    On Representational Redundancy, Surplus Structure, and the Hole Argument.Clara Bradley & James Owen Weatherall - 2020 - Foundations of Physics 50 (4):270-293.
    We address a recent proposal concerning ‘surplus structure’ due to Nguyen et al.. We argue that the sense of ‘surplus structure’ captured by their formal criterion is importantly different from—and in a sense, opposite to—another sense of ‘surplus structure’ used by philosophers. We argue that minimizing structure in one sense is generally incompatible with minimizing structure in the other sense. We then show how these distinctions bear on Nguyen et al.’s arguments about Yang-Mills theory and on the hole (...). (shrink)
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  23.  43
    Regarding `Regarding the `Hole Argument''.Tushar Menon, Thomas Moller-Nielsen & James Read - unknown
    In his paper, ‘Regarding the ‘Hole Argument”, Weatherall suggests that models of general relativity related by a hole diffeomorphism must be regarded as being physically equivalent. At a later stage in the paper, however, he also argues that there is a sense in which two such models may be regarded as being empirically distinct—a fortiori physically distinct. We attempt to delineate the logic behind these two prima facie contradictory claims. We argue that the latter sense rests upon (...)
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  24. On the Mathematics and Metaphysics of the Hole Argument.Oliver Pooley & James Read - forthcoming - The British Journal for the Philosophy of Science.
    We make some remarks on the mathematics and metaphysics of the hole argument, in response to a recent article in this journal by Weatherall ([2018]). Broadly speaking, we defend the mainstream philosophical literature from the claim that correct usage of the mathematics of general relativity `blocks' the argument.
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  25.  25
    Some Remarks on Recent Formalist Responses to the Hole Argument.Tushar Menon & James Read - 2023 - Foundations of Physics 54 (1):1-20.
    In a recent article, Halvorson and Manchak (Br J Philos Sci, Forthcoming) claim that there is no basis for the Hole Argument, because (in a certain sense) hole isometries are unique. This raises two important questions: (a) does their argument succeed?; (b) how does this formalist response to the Hole Argument relate to other recent responses to the Hole Argument in the same tradition—in particular, that of Weatherall (Br J Philos Sci 69(2):329–350, (...)
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  26. The relations between things' versus 'the things between relations': The deeper meaning of the hole argument.John Stachel - 2002 - In David B. Malament (ed.), Reading Natural Philosophy: Essays in the History and Philosophy of Science and Mathematics. Open Court. pp. 231--66.
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  27. Explaining Leibniz equivalence as difference of non-inertial appearances: Dis-solution of the Hole Argument and physical individuation of point-events.Luca Lusanna & Massimo Pauri - 2006 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 37 (4):692-725.
    ”The last remnant of physical objectivity of space-time” is disclosed in the case of a continuous family of spatially non-compact models of general relativity. The physical individuation of point-events is furnished by the autonomous degrees of freedom of the gravitational field, which represent -as it were -the ontic part of the metric field. The physical role of the epistemic part is likewise clarified as embodying the unavoidable non-inertial aspects of GR. At the end the philosophical import of the Hole (...)
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  28. Can the Bundle Theory Save Substantivalism from the Hole Argument?Glenn Parsons & Patrick McGivern - 2001 - Philosophy of Science 68 (S3):S358-S370.
    One of the most serious theoretical obstacles to contemporary spacetime substantivalism is Earman and Norton's hole argument. We argue that applying the bundle theory of substance to spacetime points allows spacetime substantivalists to escape the conclusion of this argument. Some philosophers have claimed that the bundle theory cannot be applied to substantival spacetime in this way due to problems in individuating spacetime points in symmetrical spacetimes. We demonstrate that it is possible to overcome these difficulties if spatiotemporal (...)
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  29.  31
    Out of the Labyrinth: Einstein, Hertz and Göttingen Answer to the Hole Argument.John D. Norton & Don Howard - 1982 - In John Norton (ed.).
  30. The hole truth.Jeremy Butterfield - 1989 - British Journal for the Philosophy of Science 40 (1):1-28.
  31.  9
    Validity of the Einstein hole argument.Oliver Davis Johns - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 68:62-70.
  32.  72
    Some Philosophical Prehistory of the (Earman-Norton) hole argument.James Owen Weatherall - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 70:79-87.
    The celu of the philosophical literature on the hole argument is the 1987 paper by Earman \& Norton ["What Price Space-time Substantivalism? The Hole Story" Br. J. Phil. Sci.]. This paper has a well-known back-story, concerning work by Stachel and Norton on Einstein's thinking in the years 1913-15. Less well-known is a connection between the hole argument and Earman's work on Leibniz in the 1970s and 1980s, which in turn can be traced to an (...) first presented in 1975 by Howard Stein. Remarkably, this thread originates with a misattribution: the argument Earman attributes to Stein, which ultimately morphs into the hole argument, was not the argument Stein gave. The present paper explores this episode and presents some reflections on how it bears on the subsequent literature. (shrink)
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  33.  19
    Holes in the Role Argument.Graham Nerlich - 1994 - In Dag Prawitz & Dag Westerståhl (eds.), Logic and Philosophy of Science in Uppsala. Kluwer Academic Publishers. pp. 465--482.
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  34.  14
    Filling the Hole in Sense: Between Art and Philosophy.Robert E. Innis - 2018 - Journal of Speculative Philosophy 32 (1):50-69.
    ABSTRACT John Dewey argued in his Art as Experience that the significance of art as experience was of incomparable importance for the adventure of philosophical thought. He claimed that while both move in the medium of imaginative mind, art provides a “unique control” for the “imaginative ventures of philosophy.” In this article I examine, relying on a range of sources, some pivotal implications of this claim and especially how various forms of art and aesthetic experience can exemplify and further ways (...)
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  35. What price spacetime substantivalism? The hole story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
    Spacetime substantivalism leads to a radical form of indeterminism within a very broad class of spacetime theories which include our best spacetime theory, general relativity. Extending an argument from Einstein, we show that spacetime substantivalists are committed to very many more distinct physical states than these theories' equations can determine, even with the most extensive boundary conditions.
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  36.  83
    What price determinism? The hole story!Dean Rickles - unknown
    In their modern classic ``What Price Substantivalism? The Hole Story'' Earman and Norton argued that substantivalism about spacetime points implies that general relativity is indeterministic and, for that reason, must be rejected as a candidate ontology for the theory. More recently, Earman has cottoned on to a related argument (in fact, related to a \emph{response} to the hole argument) that arises in the context of canonical general relativity, according to which the enforcing of determinism along standard (...)
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  37. Reasoning about Space: The Hole Story.Achille C. Varzi - 1996 - Logic and Logical Philosophy 4:3-39.
    This is a revised and extended version of the formal theory of holes outlined in the Appendix to the book "Holes and Other Superficialities". The first part summarizes the basic framework (ontology, mereology, topology, morphology). The second part emphasizes its relevance to spatial reasoning and to the semantics of spatial prepositions in natural language. In particular, I discuss the semantics of ‘in’ and provide an account of such fallacious arguments as “There is a hole in the sheet. The sheet (...)
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  38. Candrakīrti on the Use and Misuse of the Chariot Argument.Dhivan Thomas Jones - 2023 - Journal of Indian Philosophy 51 (4):1-20.
    The publication in 2015 (ed. Li) of Chap. 6 of the rediscovered Sanskrit text of Candrakīrti’s Madhyamakāvatāra (MA) allows us to witness more directly Candrakīrti’s careful and deliberate critique of the ‘chariot argument’ for the merely conventional existence of the self in Indian Abhidharmic thought. I argue that in MA 6.140–141, Candrakīrti alludes to the use of the chariot argument in the Milindapañha as negating only the view of a permanent self (compared to an elephant), rather than negating (...)
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  39. Is there a syntactic solution to the hole problem?Robert Rynasiewicz - 1996 - Philosophy of Science 63 (3):62.
    After some background setting in which it is shown how Maudlin's (1989, 1990) response to the hole argument of Earman and Norton (1987) is related to that of Rynasiewicz (1994), it is argued that the syntactic proposals of Mundy (1992) and of Leeds (1995), which claim to dismiss the hole argument as an uninteresting blunder, are inadequate. This leads to a discussion of how the responses of Maudlin and Rynasiewicz relate to issues about gauge freedom and (...)
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  40.  59
    Radical Virtue and Climate Action.Benjamin Hole - 2021 - Environmental Ethics 43 (2):99-117.
    Radical virtue serves two distinct purposes: consolation in unfavorable circumstances, and prescription to achieve better ones. This paper maps out the theoretical nuances important for practical guidance. For a Stoic, radical virtue is a way to live well through environmental tragedy. For a consequentialist, it is an instrument to motivate us to combat climate change. For an Aristotelian, it is both. I argue that an Aristotelian approach fares the best, balancing the aim of external success with the aim of living (...)
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  41.  15
    Radically Hopeful Thinking for a Wicked Covid-19 Pandemic Problem.Benjamin Hole - 2021 - Revista Portuguesa de Filosofia 77 (2-3):751-768.
    This paper explores the prospects of radical hope for addressing the devastation of the Covid-19 pandemic. Hope is useful for conceptualizing the proper balance between too much fear and too little about our uncertain future. First, I describe the ethical challenge of the pandemic as a wicked problem. Because accepted ethical theories fail to motivate solutions, wicked problems pressure us to develop our value systems, exercise moral imaginations, and discover creative solutions. Second, I develop an Aristotelian account of radical hope, (...)
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  42. Holes in Spacetime: Some Neglected Essentials.Trevor Teitel - 2019 - Journal of Philosophy 116 (7):353-389.
    The hole argument purports to show that all spacetime theories of a certain form are indeterministic, including the General Theory of Relativity. The argument has given rise to an industry of searching for a metaphysics of spacetime that delivers the right modal implications to rescue determinism. In this paper, I first argue that certain prominent extant replies to the hole argument—namely, those that appeal to an essentialist doctrine about spacetime—fail to deliver the requisite modal implications. (...)
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  43. A Hole in the Box and a Pain in the Mouth.Laurenz C. Casser & Henry Ian Schiller - 2021 - Philosophical Quarterly 71 (4):pqaa091.
    The following argument is widely assumed to be invalid: there is a pain in my finger; my finger is in my mouth; therefore, there is a pain in my mouth. The apparent invalidity of this argument has recently been used to motivate the conclusion that pains are not spatial entities. We argue that this is a mistake. We do so by drawing attention to the metaphysics of pains and holes and provide a framework for their location which both (...)
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  44. A Companion to the Philosophy of Language.R. Hole & C. J. G. Wright (eds.) - 1997 - Blackwell.
  45.  38
    The ethics of community Nancy, Blanchot, Esposito.Kristin Hole - 2013 - Angelaki 18 (3):103-118.
    This paper analyzes the varying conceptions of ethics underpinning the accounts of community in Blanchot, Nancy, and Esposito. A focus on ethics brings into relief points of divergence amongst accounts of community that otherwise overlap and share in many significant ways. Furthermore, it provides a basis to better assess Esposito's contribution. I focus on the concepts of difference and transcendence and the figure of the lovers, a shared topos in Nancy and Blanchot, to demonstrate these subtle variations. In turning to (...)
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  46.  17
    Virtue Ethics for the Real World: Improving Character without Idealization by Howard J. Curzer (review).Benjamin Hole - 2024 - Review of Metaphysics 77 (3):541-543.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Virtue Ethics for the Real World: Improving Character without Idealization by Howard J. CurzerBenjamin HoleCURZER, Howard J. Virtue Ethics for the Real World: Improving Character without Idealization. New York: Routledge, 2023. 272 pp. Cloth, $160.00The development of virtue ethics has been in a lull. This book is a welcome treatise in theory-building, developing a novel Aristotelian approach to virtue ethics that, first, avoids idealization and, second, provides a (...)
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  47.  6
    The Relative Importance of “Cooperative Context” and Kinship in Structuring Cooperative Behavior.Guro Lovise Hole Fisktjønmo, Marius Warg Næss & Bård-Jørgen Bårdsen - 2021 - Human Nature 32 (4):677-705.
    Kin relations have a strong theoretical and empirical basis for explaining cooperative behavior. Nevertheless, there is growing recognition that context—the cooperative environment of an individual—also shapes the willingness of individuals to cooperate. For nomadic pastoralists in Norway, cooperation among both kin and non-kin is an essential predictor for success. The northern parts of the country are characterized by a history of herder-herder competition exacerbating between-herder conflict, lack of trust, and subsequent coordination problems. In contrast, because of a history of herder-farmer (...)
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  48.  9
    Candrakīrti on lokaprasiddhi: A Bad Hand, or an Ace in the Hole?John Newman - 2024 - Journal of Indian Philosophy 52 (1):73-99.
    The Indian Buddhist Mādhyamika master Candrakīrti (ca. 7th century CE) grounds his philosophy in _lokaprasiddhi_ / -_prasiddha_, “that which is common knowledge / generally accepted among people in the world.” This raises the question of whether Candrakīrti accepts _everything_ that is “common knowledge” or instead distinguishes and privileges certain justifiable beliefs within common knowledge. Tom J.F. Tillemans has argued that Candrakīrti advocates a “lowest common denominator” version of _lokaprasiddhi_ instead of a model which promotes “in some areas at least, more (...)
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  49.  65
    Minimum Circumstances Necessary for Virtue and Happiness.Benjamin Hole - 2020 - Revista Portuguesa de Filosofia 76 (1):237-260.
    What are the worst conditions under which someone can be virtuous and happy? In this paper, I argue that a minimum threshold of favorable circumstances is necessary for moral virtue and human flourishing or happiness. Stoic and Aristotelian traditions make different and important claims about the role of external circumstances in our moral lives. Retrieving the ancient dispute benefits contemporary ethics. For one, the relevance of external circumstances is an important question for the development of present-day virtue ethics. For another, (...)
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  50. Oedipus at the Trial of Socrates.George Hole - 2011 - Philosophy and Literature 35 (2):360-370.
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