Results for 'David A. Gruenewald'

953 found
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  1. Societal-Level Versus Individual-Level Predictions of Ethical Behavior: A 48-Society Study of Collectivism and Individualism.David A. Ralston, Carolyn P. Egri, Olivier Furrer, Min-Hsun Kuo, Yongjuan Li, Florian Wangenheim, Marina Dabic, Irina Naoumova, Katsuhiko Shimizu, María Teresa Garza Carranza, Ping Ping Fu, Vojko V. Potocan, Andre Pekerti, Tomasz Lenartowicz, Narasimhan Srinivasan, Tania Casado, Ana Maria Rossi, Erna Szabo, Arif Butt, Ian Palmer, Prem Ramburuth, David M. Brock, Jane Terpstra-Tong, Ilya Grison, Emmanuelle Reynaud, Malika Richards, Philip Hallinger, Francisco B. Castro, Jaime Ruiz-Gutiérrez, Laurie Milton, Mahfooz Ansari, Arunas Starkus, Audra Mockaitis, Tevfik Dalgic, Fidel León-Darder, Hung Vu Thanh, Yong-lin Moon, Mario Molteni, Yongqing Fang, Jose Pla-Barber, Ruth Alas, Isabelle Maignan, Jorge C. Jesuino, Chay-Hoon Lee, Joel D. Nicholson, Ho-Beng Chia, Wade Danis, Ajantha S. Dharmasiri & Mark Weber - 2014 - Journal of Business Ethics 122 (2):283–306.
    Is the societal-level of analysis sufficient today to understand the values of those in the global workforce? Or are individual-level analyses more appropriate for assessing the influence of values on ethical behaviors across country workforces? Using multi-level analyses for a 48-society sample, we test the utility of both the societal-level and individual-level dimensions of collectivism and individualism values for predicting ethical behaviors of business professionals. Our values-based behavioral analysis indicates that values at the individual-level make a more significant contribution to (...)
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  2. Societal-Level Versus Individual-Level Predictions of Ethical Behavior: A 48-Society Study of Collectivism and Individualism.David A. Ralston, Carolyn P. Egri, Olivier Furrer, Min-Hsun Kuo, Yongjuan Li, Florian Wangenheim, Marina Dabic, Irina Naoumova, Katsuhiko Shimizu & María Teresa de la Garza Carranza - 2014 - Journal of Business Ethics 122 (2):283–306.
    Is the societal-level of analysis sufficient today to understand the values of those in the global workforce? Or are individual-level analyses more appropriate for assessing the influence of values on ethical behaviors across country workforces? Using multi-level analyses for a 48-society sample, we test the utility of both the societal-level and individual-level dimensions of collectivism and individualism values for predicting ethical behaviors of business professionals. Our values-based behavioral analysis indicates that values at the individual-level make a more significant contribution to (...)
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  3. How a mind works. I, II, III.David A. Booth - 2013 - ResearchGate Personal Profile.
    Abstract (for the combined three Parts) This paper presents the simplest known theory of processes involved in a person’s unconscious and conscious achievements such as intending, perceiving, reacting and thinking. The basic principle is that an individual has mental states which possess quantitative causal powers and are susceptible to influences from other mental states. Mental performance discriminates the present level of a situational feature from its level in an individually acquired, multiple featured norm (exemplar, template, standard). The effect on output (...)
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  4. Labour, exchange and recognition: Marx contra Honneth.David A. Borman - 2009 - Philosophy and Social Criticism 35 (8):935-959.
    This article explores Marx’s contention that the achievement of full personhood and, not just consequently, but simultaneously, of genuine intersubjectivity depends upon the attainment of recognition for one’s place in the social division of labour, recognition which is systematically denied to some individuals and groups of individuals through the capitalist organization of production and exchange. This reading is then employed in a critique of Axel Honneth’s theory of recognition which, it is argued, cannot account for the systematic obstacles faced by (...)
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  5. Multiple Realizability, Identity Theory, and the Gradual Reorganization Principle.David A. Barrett - 2013 - British Journal for the Philosophy of Science 64 (2):325-346.
    In the literature on multiple realizability and the identity theory, cases of neural plasticity have enjoyed a very limited role. The present article attempts to remedy this small influence by arguing that clinical and experimental evidence of quite extensive neural reorganization offers compelling support for the claim that psychological kinds are multiply realized in neurological kinds, thus undermining the identity theory. In particular, cases are presented where subjects with no measurable psychological deficits also have vast, though gradually received, neurological damage. (...)
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  6. Heidegger On The Limits Of Science.David A. Kolb - 1983 - Journal of the British Society for Phenomenology 14 (January):50-64.
    How Heidegger criticizes and "locates" science, and some problems with what he is trying to do.
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  7. Hegel and Heidegger as Critics.David A. Kolb - 1981 - The Monist 64 (4):481-499.
    A comparison of the ways in which Hegel and Heidegger critique modernity.
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  8. How did that individual make that perceptual decision?David A. Booth - 2018 - Behavioral and Brain Sciences 41:E226.
    Suboptimality of decision making needs no explanation. High level accounts of suboptimality in diverse tasks cannot add up to a mechanistic theory of perceptual decision making. Mental processes operate on the contents of information brought by the experimenter and the participant to the task, not on the amount of information in the stimuli without regard to physical and social context.
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  9. Phenomenology is art, not psychological or neural science.David A. Booth - 2003 - Behavioral and Brain Sciences 26 (4):408-409.
    It is tough to relate visual perception or other achievements to physiological processing in the central nervous system. The diagrammatic, algebraic, and verbal pictures of how sights seem to Lehar do not advance understanding of how we manage to see what is in the world. There are well-known conceptual reasons why no such purely introspective approach can be productive.
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    (1 other version)Mind-brain puzzle versus mind-physical world identity.David A. Booth - 1978 - Behavioral and Brain Sciences 1 (3):348-349.
    To maintain my neutral monist or multi-aspect view of human reality (or indeed to defend the Cartesian dualism assumed by Puccetti & Dykes, it is wrong to relate the mind to the brain alone. A person's mind should be related to the physical environment, including the body, in addition to the brain. Furthermore, we are unlikely to understand the detailed functioning of an individual brain without knowing the history of its interactions with the external and internal environments during that person's (...)
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  11. Philosophical Quarterly.David A. Denby - 2006
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  12. How place shapes the aspirations of hope: the allegory of the privileged and the underprivileged.Victor Counted & David A. Newheiser - 2023 - Journal of Positive Psychology 2023.
    We articulate a holistic understanding of hope, going beyond the common conceptualization of hope in terms of positive affect and cognition by considering what hope means for the underprivileged. In the recognition that hope is always situated in a particular place, we explore the perspective of the privileged and the underprivileged, clarifying how spatial contexts shape their goals for the future and their agency toward attaining these goals. Where some people experience precarity due to their disability, race, gender, sexuality, and (...)
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  13. The coherence of enactivism and mathematics education research: A case study.David A. Reid - 2014 - Avant: Trends in Interdisciplinary Studies (2):137-172.
    This article addresses the question of the coherence of enactivism as a research perspective by making a case study of enactivism in mathematics education research. Main theoretical directions in mathematics education are reviewed and the history of adoption of concepts from enactivism is described. It is concluded that enactivism offers a ‘grand theory’ that can be brought to bear on most of the phenomena of interest in mathematics education research, and so it provides a sufficient theoretical framework. It has particular (...)
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  14. The Ontology of Impossible Worlds.David A. Vander Laan - 1997 - Notre Dame Journal of Formal Logic 38 (4):597-620.
    The best arguments for possible worlds as states of affairs furnish us with equally good arguments for impossible worlds of the same sort. I argue for a theory of impossible worlds on which the impossible worlds correspond to maximal inconsistent classes of propositions. Three objections are rejected. In the final part of the paper, I present a menu of impossible worlds and explore some of their interesting formal properties.
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  15. The structural diversity of historical injustices.Jeppe Von Platz & David A. Reidy - 2006 - Journal of Social Philosophy 37 (3):360–376.
    Driven by a sharp increase in claims for reparations, reparative justice has become a topic of academic debate. To some extent this debate has been marred by a failure to realize the complexity of reparative justice. In this essay we try to amend this shortcoming. We do this by developing a taxonomy of different kinds of wrongs that can underwrite claims to reparations. We identify four kinds of wrongs: entitlement violations, unjust exclusions from an otherwise acceptable system of entitlements, and (...)
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  16. Temporal binding, causation and agency: Developing a new theoretical framework.Christoph Hoerl, Sara Lorimer, Teresa McCormack, David A. Lagnado, Emma Blakey, Emma C. Tecwyn & Marc J. Buehner - 2020 - Cognitive Science 44 (5):e12843.
    In temporal binding, the temporal interval between one event and another, occurring some time later, is subjectively compressed. We discuss two ways in which temporal binding has been conceptualized. In studies showing temporal binding between a voluntary action and its causal consequences, such binding is typically interpreted as providing a measure of an implicit or pre-reflective “sense of agency”. However, temporal binding has also been observed in contexts not involving voluntary action, but only the passive observation of a cause-effect sequence. (...)
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  17. Love as a moral emotion.J. David Velleman - 1999 - Ethics 109 (2):338-374.
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  18. On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives.Joel Katzav, Erica L. Thompson, James Risbey, David A. Stainforth, Seamus Bradley & Mathias Frisch - 2021 - Climatic Change 169 (15).
    When do probability distribution functions (PDFs) about future climate misrepresent uncertainty? How can we recognise when such misrepresentation occurs and thus avoid it in reasoning about or communicating our uncertainty? And when we should not use a PDF, what should we do instead? In this paper we address these three questions. We start by providing a classification of types of uncertainty and using this classification to illustrate when PDFs misrepresent our uncertainty in a way that may adversely affect decisions. We (...)
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  19. Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
    This paper presents and motivates a new philosophical and logical approach to truth and semantic paradox. It begins from an inferentialist, and particularly bilateralist, theory of meaning---one which takes meaning to be constituted by assertibility and deniability conditions---and shows how the usual multiple-conclusion sequent calculus for classical logic can be given an inferentialist motivation, leaving classical model theory as of only derivative importance. The paper then uses this theory of meaning to present and motivate a logical system---ST---that conservatively extends classical (...)
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  20. Conservatively extending classical logic with transparent truth.David Ripley - 2012 - Review of Symbolic Logic 5 (2):354-378.
    This paper shows how to conservatively extend classical logic with a transparent truth predicate, in the face of the paradoxes that arise as a consequence. All classical inferences are preserved, and indeed extended to the full (truth—involving) vocabulary. However, not all classical metainferences are preserved; in particular, the resulting logical system is nontransitive. Some limits on this nontransitivity are adumbrated, and two proof systems are presented and shown to be sound and complete. (One proof system allows for Cut—elimination, but the (...)
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  21. Statistical Evidence, Sensitivity, and the Legal Value of Knowledge.David Enoch, Levi Spectre & Talia Fisher - 2012 - Philosophy and Public Affairs 40 (3):197-224.
    The law views with suspicion statistical evidence, even evidence that is probabilistically on a par with direct, individual evidence that the law is in no way suspicious of. But it has proved remarkably hard to either justify this suspicion, or to debunk it. In this paper, we connect the discussion of statistical evidence to broader epistemological discussions of similar phenomena. We highlight Sensitivity – the requirement that a belief be counterfactually sensitive to the truth in a specific way – as (...)
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  22. Cognitive and Computer Systems for Understanding Narrative Text.William J. Rapaport, Erwin M. Segal, Stuart C. Shapiro, David A. Zubin, Gail A. Bruder, Judith Felson Duchan & David M. Mark - manuscript
    This project continues our interdisciplinary research into computational and cognitive aspects of narrative comprehension. Our ultimate goal is the development of a computational theory of how humans understand narrative texts. The theory will be informed by joint research from the viewpoints of linguistics, cognitive psychology, the study of language acquisition, literary theory, geography, philosophy, and artificial intelligence. The linguists, literary theorists, and geographers in our group are developing theories of narrative language and spatial understanding that are being tested by the (...)
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  23. False Consciousness for Liberals, Part I: Consent, Autonomy, and Adaptive Preferences.David Enoch - 2020 - Philosophical Review 129 (2):159-210.
    The starting point regarding consent has to be that it is both extremely important, and that it is often suspicious. In this article, the author tries to make sense of both of these claims, from a largely liberal perspective, tying consent, predictably, to the value of autonomy and distinguishing between autonomy as sovereignty and autonomy as nonalienation. The author then discusses adaptive preferences, claiming that they suffer from a rationality flaw but that it's not clear that this flaw matters morally (...)
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  24. Lawful Persistence.David Builes & Trevor Teitel - 2022 - Philosophical Perspectives 36 (1):5-30.
    The central aim of this paper is to use a particular view about how the laws of nature govern the evolution of our universe in order to develop and evaluate the two main competing options in the metaphysics of persistence, namely endurantism and perdurantism. We begin by motivating the view that our laws of nature dictate not only qualitative facts about the future, but also which objects will instantiate which qualitative properties. We then show that both traditional doctrines in the (...)
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  25. There is no such thing as doxastic wrongdoing.David Enoch & Levi Spectre - forthcoming - Philosophical Perspectives.
    People are often offended by beliefs, expect apologies for beliefs, apologize for their own beliefs. In many mundane cases, people are morally criticized for their beliefs. Intuitively, then, beliefs seem to sometimes wrong people. Recently, the philosophical literature has picked up on this theme, and has started to discuss it under the heading of doxastic wrongdoing. In this paper we argue that despite the strength of such initial intuitions, at the end of the day they have to be rejected. If (...)
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  26. An Empirical Argument for Presentism.David Builes & Michele Odisseas Impagnatiello - forthcoming - Oxford Studies in Metaphysics.
    According to orthodoxy, our best physical theories strongly support Eternalism over Presentism. Our goal is to argue against this consensus, by arguing that a certain overlooked aspect of our best physical theories strongly supports Presentism over Eternalism.
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  27. Modal Idealism.David Builes - forthcoming - Oxford Studies in Philosophy of Mind.
    I argue that it is metaphysically necessary that: (i) every fundamental entity is conscious, and (ii) every fundamental property is a phenomenal property.
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  28. Expressive Avatars: Vitality in Virtual Worlds.David Ekdahl & Lucy Osler - 2023 - Philosophy and Technology 36 (2):1-28.
    Critics have argued that human-controlled avatar interactions fail to facilitate the kinds of expressivity and social understanding afforded by our physical bodies. We identify three claims meant to justify the supposed expressive limits of avatar interactions compared to our physical interactions. First, “The Limited Expressivity Claim”: avatars have a more limited expressive range than our physical bodies. Second, “The Inputted Expressivity Claim”: any expressive avatarial behaviour must be deliberately inputted by the user. Third, “The Decoding Claim”: users must infer or (...)
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  29. Statistical resentment, or: what’s wrong with acting, blaming, and believing on the basis of statistics alone.David Enoch & Levi Spectre - 2021 - Synthese 199 (3-4):5687-5718.
    Statistical evidence—say, that 95% of your co-workers badmouth each other—can never render resenting your colleague appropriate, in the way that other evidence (say, the testimony of a reliable friend) can. The problem of statistical resentment is to explain why. We put the problem of statistical resentment in several wider contexts: The context of the problem of statistical evidence in legal theory; the epistemological context—with problems like the lottery paradox for knowledge, epistemic impurism and doxastic wrongdoing; and the context of a (...)
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  30. Derivatives and Consciousness.David Builes - 2020 - Journal of Consciousness Studies 27 (9-10):87-103.
    Many philosophers of physics think that physical rates of change, like velocity or acceleration in classical physics, are extrinsic. Many philosophers of mind think that phenomenal properties, which characterize what it’s like to be an agent at a time, are intrinsic. I will argue that these two views can’t both be true. Given that these two views are in tension, we face an explanatory challenge. Why should there be any interesting connection between these physical quantities and consciousness in the first (...)
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  31. Dilating and contracting arbitrarily.David Builes, Sophie Horowitz & Miriam Schoenfield - 2020 - Noûs 56 (1):3-20.
    Standard accuracy-based approaches to imprecise credences have the consequence that it is rational to move between precise and imprecise credences arbitrarily, without gaining any new evidence. Building on the Educated Guessing Framework of Horowitz (2019), we develop an alternative accuracy-based approach to imprecise credences that does not have this shortcoming. We argue that it is always irrational to move from a precise state to an imprecise state arbitrarily, however it can be rational to move from an imprecise state to a (...)
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  32. Contradictions at the borders.David Ripley - 2011 - In Rick Nouwen, Robert van Rooij, Uli Sauerland & Hans-Christian Schmitz (eds.), Vagueness in Communication. Springer. pp. 169--188.
    The purpose of this essay is to shed some light on a certain type of sentence, which I call a borderline contradiction. A borderline contradiction is a sentence of the form F a ∧ ¬F a, for some vague predicate F and some borderline case a of F , or a sentence equivalent to such a sentence. For example, if Jackie is a borderline case of ‘rich’, then ‘Jackie is rich and Jackie isn’t rich’ is a borderline contradiction. Many theories (...)
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  33. Essence and Intrinsicality.David Denby - 2014 - In Robert M. Francescotti (ed.), Companion to Intrinsic Properties. Boston: De Gruyter. pp. 87-109.
    In the first half of this paper, I argue that essential properties are intrinsic and that this permits a modal analysis of essence that is immune the sort of objections raised by Fine. In the second half, I argue that intrinsic properties collectively have a certain structure and that this accounts for some observations about essences: that things are essentially determinate; that things often have properties within a certain range essentially; and that the essential properties of things are their core (...)
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  34. Anything Goes.David Ripley - 2015 - Topoi 34 (1):25-36.
    This paper consider Prior's connective Tonk from a particular bilateralist perspective. I show that there is a natural perspective from which we can see Tonk and its ilk as perfectly well-defined pieces of vocabulary; there is no need for restrictions to bar things like Tonk.
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  35. The Perniciousness of Higher-Order Evidence on Aesthetic Appreciation.Sackris David & Larsen Rasmus - 2023 - Dialogue:1-20.
    We demonstrate that many philosophers accept the following claim: When an aesthetic object is apprehended correctly, taking pleasure in said object is a reliable sign that the object is aesthetically successful. We undermine this position by showing that what grounds our pleasurable experience is opaque: In many cases, the experienced pleasure is attributable to factors that have little to do with the aesthetic object. The evidence appealed to is a form of Higher-Order Evidence (HOE) and we consider attempts to overcome (...)
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  36. Necessary Conditions for Morally Responsible Animal Research.David Degrazia & Jeff Sebo - 2015 - Cambridge Quarterly of Healthcare Ethics 24 (4):420-430.
    In this paper, we present three necessary conditions for morally responsible animal research that we believe people on both sides of this debate can accept. Specifically, we argue that, even if human beings have higher moral status than nonhuman animals, animal research is morally permissible only if it satisfies (a) an expectation of sufficient net benefit, (b) a worthwhile-life condition, and (c) a no unnecessary-harm/qualified-basic-needs condition. We then claim that, whether or not these necessary conditions are jointly sufficient conditions of (...)
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  37. An Introduction to Partition Logic.David Ellerman - 2014 - Logic Journal of the IGPL 22 (1):94-125.
    Classical logic is usually interpreted as the logic of propositions. But from Boole's original development up to modern categorical logic, there has always been the alternative interpretation of classical logic as the logic of subsets of any given (nonempty) universe set. Partitions on a universe set are dual to subsets of a universe set in the sense of the reverse-the-arrows category-theoretic duality--which is reflected in the duality between quotient objects and subobjects throughout algebra. Hence the idea arises of a dual (...)
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  38. Counting distinctions: on the conceptual foundations of Shannon’s information theory.David Ellerman - 2009 - Synthese 168 (1):119-149.
    Categorical logic has shown that modern logic is essentially the logic of subsets (or "subobjects"). Partitions are dual to subsets so there is a dual logic of partitions where a "distinction" [an ordered pair of distinct elements (u,u′) from the universe U ] is dual to an "element". An element being in a subset is analogous to a partition π on U making a distinction, i.e., if u and u′ were in different blocks of π. Subset logic leads to finite (...)
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  39. Shattered Faith: The Social Epistemology of Deconversion by Spiritually Violent Religious Trauma.David Efird, Joshua Cockayne & Jack Warman - 2020 - In Michelle Panchuk & Michael C. Rea (eds.), Voices from The Edge: Centering Marginalized Perspectives in Analytic Theology. Oxford: Oxford University Press.
    In this chapter, we argue that it’s possible to lose your faith in God by the actions of other people. In particular, we argue that spiritually violent religious trauma, where religious texts are used to shame a person into thinking themselves unworthy of God’s love, can cause a person to stop engaging in activities that sustain their faith in God, such as engaging in the worship of God. To do this, we provide an analysis of faith, worship, and love on (...)
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  40. Embedding Denial.David Ripley - 2015 - In Colin R. Caret & Ole T. Hjortland (eds.), Foundations of Logical Consequence. Oxford, England: Oxford University Press. pp. 289-309.
    Suppose Alice asserts p, and the Caterpillar wants to disagree. If the Caterpillar accepts classical logic, he has an easy way to indicate this disagreement: he can simply assert ¬p. Sometimes, though, things are not so easy. For example, suppose the Cheshire Cat is a paracompletist who thinks that p ∨ ¬p fails (in familiar (if possibly misleading) language, the Cheshire Cat thinks p is a gap). Then he surely disagrees with Alice's assertion of p, but should himself be unwilling (...)
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  41. Well-Being as the Object of Moral Consideration.David Sobel - 1998 - Economics and Philosophy 14 (2):249.
    The proposal I offer attempts to remedy the inadequacies of exclusive focus on well-being for moral purposes. The proposal is this: We should allow the agent to decide for herself where she wants to throw the weight that is her due in moral reflection, with the proviso that she understands the way that her weight will be aggregated with others in reaching a moral outcome. I will call this the "autonomy principle." The autonomy principle, I claim, provides the consequentialist's best (...)
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  42. (1 other version)Projection, Problem Space and Anchoring.David Kirsh - 2009 - Proceedings of the 31st Annual Conference of the Cognitive Science Society:2310-2315.
    When people make sense of situations, illustrations, instructions and problems they do more than just think with their heads. They gesture, talk, point, annotate, make notes and so on. What extra do they get from interacting with their environment in this way? To study this fundamental problem, I looked at how people project structure onto geometric drawings, visual proofs, and games like tic tac toe. Two experiments were run to learn more about projection. Projection is a special capacity, similar to (...)
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  43. Sentient Nonpersons and the Disvalue of Death.David DeGrazia - 2016 - Bioethics 30 (7):511-519.
    Implicit in our everyday attitudes and practices is the assumption that death ordinarily harms a person who dies. A far more contested matter is whether death harms sentient individuals who are not persons, a category that includes many animals and some human beings. On the basis of the deprivation account of the harm of death, I argue that death harms sentient nonpersons. I next consider possible bases for the commonsense judgment that death ordinarily harms persons more than it harms sentient (...)
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  44. Meno's Paradox in Context.David Ebrey - 2014 - British Journal for the History of Philosophy 22 (1):4-24.
    I argue that Meno’s Paradox targets the type of knowledge that Socrates has been looking for earlier in the dialogue: knowledge grounded in explanatory definitions. Socrates places strict requirements on definitions and thinks we need these definitions to acquire knowledge. Meno’s challenge uses Socrates’ constraints to argue that we can neither propose definitions nor recognize them. To understand Socrates’ response to the challenge, we need to view Meno’s challenge and Socrates’ response as part of a larger disagreement about the value (...)
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  45. The Labour Theory of Property and Marginal Productivity Theory.David Ellerman - 2016 - Economic Thought 5 (1):19.
    After Marx, dissenting economics almost always used 'the labour theory' as a theory of value. This paper develops a modern treatment of the alternative labour theory of property that is essentially the property theoretic application of the juridical principle of responsibility: impute legal responsibility in accordance with who was in fact responsible. To understand descriptively how assets and liabilities are appropriated in normal production, a 'fundamental myth' needs to be cleared away, and then the market mechanism of appropriation can be (...)
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  46. Logical Entropy: Introduction to Classical and Quantum Logical Information theory.David Ellerman - 2018 - Entropy 20 (9):679.
    Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. The resulting notion of information is about distinctions, differences and distinguishability and is formalized using the distinctions of a partition. All the definitions of simple, joint, conditional and mutual entropy of Shannon information theory are derived by a uniform transformation from the corresponding definitions at the logical level. The purpose of this paper (...)
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  47. Follow the Math!: The Mathematics of Quantum Mechanics as the Mathematics of Set Partitions Linearized to (Hilbert) Vector Spaces.David Ellerman - 2022 - Foundations of Physics 52 (5):1-40.
    The purpose of this paper is to show that the mathematics of quantum mechanics is the mathematics of set partitions linearized to vector spaces, particularly in Hilbert spaces. That is, the math of QM is the Hilbert space version of the math to describe objective indefiniteness that at the set level is the math of partitions. The key analytical concepts are definiteness versus indefiniteness, distinctions versus indistinctions, and distinguishability versus indistinguishability. The key machinery to go from indefinite to more definite (...)
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  48. Genuine modal realism and the empty world.David Efird & Tom Stoneham - 2005 - European Journal of Analytic Philosophy 1 (1):21-37.
    We argue that genuine modal realism can be extended, rather than modified, so as to allow for the possibility of nothing concrete, a possibility we term ‘metaphysical nihilism’. The issue should be important to the genuine modal realist because, not only is metaphysical nihilism itself intuitively plausible, but also it is supported by an argument with pre-theoretically credible premises, namely, the subtraction argument. Given the soundness of the subtraction argument, we show that there are two ways that the genuine modal (...)
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  49. The logic of partitions: Introduction to the dual of the logic of subsets: The logic of partitions.David Ellerman - 2010 - Review of Symbolic Logic 3 (2):287-350.
    Modern categorical logic as well as the Kripke and topological models of intuitionistic logic suggest that the interpretation of ordinary “propositional” logic should in general be the logic of subsets of a given universe set. Partitions on a set are dual to subsets of a set in the sense of the category-theoretic duality of epimorphisms and monomorphisms—which is reflected in the duality between quotient objects and subobjects throughout algebra. If “propositional” logic is thus seen as the logic of subsets of (...)
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  50. An introduction to logical entropy and its relation to Shannon entropy.David Ellerman - 2013 - International Journal of Semantic Computing 7 (2):121-145.
    The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pair of elements in distinct blocks of the partition. The logical concept of entropy based on partition logic is the normalized counting measure of the set of distinctions of a partition on a finite set--just as the usual logical notion of probability based on the Boolean logic (...)
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