Results for 'David Pegg'

952 found
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  1. 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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  2. Causation, Norm violation, and culpable control.Mark D. Alicke, David Rose & Dori Bloom - 2011 - Journal of Philosophy 108 (12):670-696.
    Causation is one of philosophy's most venerable and thoroughly-analyzed concepts. However, the study of how ordinary people make causal judgments is a much more recent addition to the philosophical arsenal. One of the most prominent views of causal explanation, especially in the realm of harmful or potentially harmful behavior, is that unusual or counternormative events are accorded privileged status in ordinary causal explanations. This is a fundamental assumption in psychological theories of counterfactual reasoning, and has been transported to philosophy by (...)
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  3. 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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  4. How We Get Along.James David Velleman - 2009 - New York: Cambridge University Press. Edited by J. David Velleman.
    In How We Get Along, philosopher David Velleman compares our social interactions to the interactions among improvisational actors on stage. He argues that we play ourselves - not artificially but authentically, by doing what would make sense coming from us as we really are. And, like improvisational actors, we deal with one another in dual capacities: both as characters within the social drama and as players contributing to the shared performance. In this conception of social intercourse, Velleman finds rational (...)
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  5. 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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  6. 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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  7. 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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  8. How Are Basic Belief-Forming Methods Justified?David Enoch & Joshua Schechter - 2008 - Philosophy and Phenomenological Research 76 (3):547–579.
    In this paper, we develop an account of the justification thinkers have for employing certain basic belief-forming methods. The guiding idea is inspired by Reichenbach's work on induction. There are certain projects in which thinkers are rationally required to engage. Thinkers are epistemically justified in employing any belief-forming method such that "if it doesn't work, nothing will" for successfully engaging in such a project. We present a detailed account based on this intuitive thought and address objections to it. We conclude (...)
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  9. 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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  10. Is Epistemic Competence a Skill?David Horst - 2022 - Australasian Journal of Philosophy 100 (3):509-523.
    Many virtue epistemologists conceive of epistemic competence on the model of skill —such as archery, playing baseball, or chess. In this paper, I argue that this is a mistake: epistemic competences and skills are crucially and relevantly different kinds of capacities. This, I suggest, undermines the popular attempt to understand epistemic normativity as a mere special case of the sort of normativity familiar from skilful action. In fact, as I argue further, epistemic competences resemble virtues rather than skills—a claim that (...)
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  11. The Asceticism of the Phaedo: Pleasure, Purification, and the Soul’s Proper Activity.David Ebrey - 2017 - Archiv für Geschichte der Philosophie 99 (1):1-30.
    I argue that according to Socrates in the Phaedo we should not merely evaluate bodily pleasures and desires as worthless or bad, but actively avoid them. We need to avoid them because they change our values and make us believe falsehoods. This change in values and acceptance of falsehoods undermines the soul’s proper activity, making virtue and happiness impossible for us. I situate this account of why we should avoid bodily pleasures within Plato’s project in the Phaedo of providing Pythagorean (...)
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  12. 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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  13. Does legal epistemology rest on a mistake? On fetishism, two‐tier system design, and conscientious fact‐finding.David Enoch, Talia Fisher & Levi Spectre - 2021 - Philosophical Issues 31 (1):85-103.
    Philosophical Issues, Volume 31, Issue 1, Page 85-103, October 2021.
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  14. In Defense of Constitutivism About Epistemic Normativity.David Horst - 2022 - Pacific Philosophical Quarterly 103 (2):232-258.
    Epistemic constitutivism (EC) holds that the nature of believing is such that it gives rise to a standard of correctness and that other epistemic normative notions (e.g., reasons for belief) can be explained in terms of this standard. If defensible, this view promises an attractive and unifying account of epistemic normativity. However, EC faces a forceful objection: that constitutive standards of correctness are never enough for generating normative reasons. This paper aims to defend EC in the face of this objection. (...)
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  15. Sensitivity, safety, and the law: A reply to Pardo.David Enoch & Levi Spectre - 2019 - Legal Theory 25 (3):178-199.
    ABSTRACTIn a recent paper, Michael Pardo argues that the epistemic property that is legally relevant is the one called Safety, rather than Sensitivity. In the process, he argues against our Sensitivity-related account of statistical evidence. Here we revisit these issues, partly in order to respond to Pardo, and partly in order to make general claims about legal epistemology. We clarify our account, we show how it adequately deals with counterexamples and other worries, we raise suspicions about Safety's value here, and (...)
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  16. How to ground powers.David Builes - 2024 - Analysis 84 (2):231-238.
    According to the grounding theory of powers, fundamental physical properties should be thought of as qualities that ground dispositions. Although this view has recently been defended by many different philosophers, there is no consensus for how the view should be developed within a broader metaphysics of properties. Recently, Tugby has argued that the view should be developed in the context of a Platonic theory of properties, where properties are abstract universals. I will argue that the view should not be developed (...)
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  17. How Reasoning Aims at Truth.David Horst - 2021 - Noûs 55 (1):221-241.
    Many hold that theoretical reasoning aims at truth. In this paper, I ask what it is for reasoning to be thus aim-directed. Standard answers to this question explain reasoning’s aim-directedness in terms of intentions, dispositions, or rule-following. I argue that, while these views contain important insights, they are not satisfactory. As an alternative, I introduce and defend a novel account: reasoning aims at truth in virtue of being the exercise of a distinctive kind of cognitive power, one that, unlike ordinary (...)
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  18. 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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  19. 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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  20. Against Utopianism: Noncompliance and Multiple Agents.David Enoch - 2018 - Philosophers' Imprint 18.
    Does it count against a normative theory in political philosophy that it is in some important sense infeasible, that its prescriptions are unlikely to be complied with? Though a positive answer seems plausible, it has proved hard to defend against the claim that this is not how normative theories work - noncompliance shows a problem with the noncomplying agents, not with the normative theory. I think that this line of thought - this defense of Utopianism - wins the battle but (...)
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  21. Embodied involvement in virtual worlds: the case of eSports practitioners.David Ekdahl & Susanne Ravn - 2019 - Sport, Ethics and Philosophy 13 (2):132-144.
    eSports practice designates a unique set of activities tethered to competitive, virtual environments, or worlds. This correlation between eSports practitioner and virtual world, we argue, is inadequately accounted for solely in terms of something physical or intellectual. Instead, we favor a perspective on eSports practice to be analyzed as a perceptual and embodied phenomenon. In this article, we present the phenomenological approach and focus on the embodied sensations of eSports practitioners as they cope with and perceive within their virtual worlds. (...)
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  22. The Role of Judgment in Doxastic Agency.David Jenkins - 2018 - Thought: A Journal of Philosophy 7 (1):12-19.
    We take it that we can exercise doxastic agency by reasoning and by making judgments. We take it, that is, that we can actively make up our minds by reasoning and judging. On what I call the ‘Standard View’ this is so because judgment can yield belief. It is typical to take it that judgments yield beliefs by causing them. But on the resultant understanding of the Standard View, I argue, it is unclear how judgment could play its role in (...)
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  23. The Activity of Reasoning: How Reasoning Can Constitute Epistemic Agency.David Jenkins - 2021 - Pacific Philosophical Quarterly 102 (3):413-428.
    We naturally see ourselves as capable of being active with respect to the matter of what we believe – as capable of epistemic agency. A natural view is that we can exercise such agency by engaging in reasoning. Sceptics contend that such a view cannot be maintained in light of the fact that reasoning involves judgements, which are not decided upon or the products of prior intentions. In response, I argue that reasoning in fact can amount to epistemic agency in (...)
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  24. Alethische und Narrative Modelle von Verschwörungstheorien.David Heering - 2023 - Zeitschrift für Praktische Philosophie 9 (2):143-174.
    The aim of this paper is to create dialectical space for a hitherto under-discussed option in the philosophy of conspiracy theories. The extant literature on the topic almost exclusively assumes that conspiracy theories are a type of explanation. The typical mental attitude towards explanations is belief, a representational attitude that can be assessed as true, false, warranted or unwarranted. I call models based on this assumption alethic models. Alethic models can’t pick out conspiracy theories as a distinct class of mental (...)
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  25. What do you mean “This isn’t the question”?David Enoch & Tristram McPherson - 2017 - Canadian Journal of Philosophy 47 (6):820-840.
    This is a contribution to the symposium on Tim Scanlon’s Being Realistic about Reasons. We have two aims here: First, we ask for more details about Scanlon’s meta-metaphysical view, showing problems with salient clarifications. And second, we raise independent objections to the view – to its explanatory productivity, its distinctness, and the argumentative support it enjoys.
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  26. Hume and the mechanics of mind : impressions, ideas, and association.David Owen - 1993 - In David Fate Norton & Jacqueline Taylor (eds.), The Cambridge Companion to Hume. New York: Cambridge University Press.
    Hume introduced important innovations concerning the theory of ideas. The two most important are the distinction between impressions and ideas, and the use he made of the principles of association in explaining mental phenomena. Hume divided the perceptions of the mind into two classes. The members of one class, impressions, he held to have a greater degree of force and vivacity than the members of the other class, ideas. He also supposed that ideas are causally dependent copies of impressions. And, (...)
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  27. 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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  28. Explanationism about Freedom and Orthonomy.David Heering - forthcoming - Journal of Philosophy.
    According to a popular idea, freedom is grounded in orthonomy – the ability to be responsive to normative demands. But how exactly must an agent’s action relate to their reasons in order for this orthonomous relationship to hold? In this paper, I propose a novel explanationist answer to this question. I argue that extant answers – causalism and modalism about orthonomy – fail because they fail to account for the fact that intuitions about freedom and orthonomy track facts about explanation. (...)
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  29. 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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  30. Epistemic Modality and Hyperintensionality in Mathematics.David Elohim - unknown
    This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...)
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  31. Microaggressions as negligence.David Schraub - forthcoming - Journal of Social Philosophy.
    In this paper, I suggest that the wrongness of many—though not at all—cases of microaggressions can be captured as cases of negligence. A case of negligence holds when, regardless of an actor’s intentions, he or she wrongs another in a manner that is both reasonably foreseeable and reasonably avoidable. Thinking of microaggressions as negligence answers some objections of skeptics who focus on the possibility that the alleged microaggressor “meant no offense”. It does so while retaining language explaining why a wrong (...)
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  32. Inalienable rights: A litmus test for liberal theories of justice.David Ellerman - 2010 - Law and Philosophy 29 (5):571-599.
    Liberal-contractarian philosophies of justice see the unjust systems of slavery and autocracy in the past as being based on coercion—whereas the social order in modern democratic market societies is based on consent and contract. However, the ‘best’ case for slavery and autocracy in the past were consent-based contractarian arguments. Hence, our first task is to recover those ‘forgotten’ apologia for slavery and autocracy. To counter those consent-based arguments, the historical anti-slavery and democratic movements developed a theory of inalienable rights. Our (...)
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  33. 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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  34. Modal Personhood and Moral Status: A Reply to Kagan's Proposal.David DeGrazia - 2015 - Journal of Applied Philosophy 33 (1):22-25.
    Kagan argues that human beings who are neither persons nor even potential persons — if their impairment is independent of genetic constitution — are modal persons: individuals who might have been persons. Moreover, he proposes a view according to which both personhood and modal personhood are sufficient for counting more, morally, than nonhuman animals. In response to this proposal, I raise one relatively minor concern about Kagan's reasoning — that he judges too quickly that insentient beings can have interests — (...)
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  35. Hyperintensionality in Epistemic Democracy and Welfare Economics.David Elohim - manuscript
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  36. 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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  37. Survivalism, Corruptionism, and Mereology.David S. Oderberg - 2012 - European Journal for Philosophy of Religion 4 (4):1-26.
    Corruptionism is the view that following physical death, the human being ceases to exist but their soul persists in the afterlife. Survivalism holds that both the human being and their soul persist in the afterlife, as distinct entities, with the soul constituting the human. Each position has its defenders, most of whom appeal both to metaphysical considerations and to the authority of St Thomas Aquinas. Corruptionists claim that survivalism violates a basic principle of any plausible mereology, while survivalists tend to (...)
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  38. Luminosity in the stream of consciousness.David Jenkins - 2018 - Synthese 198 (Suppl 7):1549-1562.
    Williamson’s “anti-luminosity” argument aims to establish that there are no significant luminous conditions. “Far from forming a cognitive home”, luminous conditions are mere “curiosities”. Even supposing Williamson’s argument succeeds in showing that there are no significant luminous states his conclusion has not thereby been established. When it comes to determining what is luminous, mental events and processes are among the best candidates. It is events and processes, after all, which constitute the stream of consciousness. Judgment, for instance, is plausibly self-conscious. (...)
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  39. Ontology and geographic objects: An empirical study of cognitive categorization.David M. Mark, Barry Smith & Barbara Tversky - 1999 - In Freksa C. & Mark David M. (eds.), Spatial Information Theory. Cognitive and Computational Foundations of Geographic Information Science (Lecture Notes in Computer Science 1661). pp. 283-298.
    Cognitive categories in the geographic realm appear to manifest certain special features as contrasted with categories for objects at surveyable scales. We have argued that these features reflect specific ontological characteristics of geographic objects. This paper presents hypotheses as to the nature of the features mentioned, reviews previous empirical work on geographic categories, and presents the results of pilot experiments that used English-speaking subjects to test our hypotheses. Our experiments show geographic categories to be similar to their non-geographic counterparts in (...)
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  40. The Recovery of the Fundamental Hermeneutic Problem: Application and Normativity.David Liakos - 2022 - In Gregory Lynch & Cynthia R. Nielsen (eds.), Gadamer's Truth and Method: A Polyphonic Commentary. Rowman & Littlefield. pp. 165-85.
    This paper is an explication of Gadamer's idea of "application." I argue that the relation between the first and third persons in application contains a viable conception of the normativity of understanding. Application includes a measure for understanding. The thing that is to be understood must be allowed to address me, and such involvement responds to the text’s meaning. While this measure is not expressible in principled rules, application is normatively accountable both to the text’s third-person claim to meaning and (...)
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  41. Cognitivism about Epistemic Modality and Hyperintensionality.David Elohim - manuscript
    This essay aims to vindicate the thesis that cognitive computational properties are abstract objects implemented in physical systems. I avail of Voevodsky's Univalence Axiom and function type equivalence in Homotopy Type Theory, in order to specify an abstraction principle for epistemic (hyper-)intensions. The homotopic abstraction principle for epistemic (hyper-)intensions provides an epistemic conduit for our knowledge of (hyper-)intensions as abstract objects. Higher observational type theory might be one way to make first-order abstraction principles defined via inference rules, although not higher-order (...)
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  42. 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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  43. Why Are There No Conditionals in Aristotle’s Logic?David Ebrey - 2015 - Journal of the History of Philosophy 53 (2):185-205.
    Aristotle presents a formal logic in the Prior Analytics in which the premises and conclusions are never conditionals. In this paper I argue that he did not simply overlook conditionals, nor does their absence reflect a metaphysical prejudice on his part. Instead, he thinks that arguments with conditionals cannot be syllogisms because of the way he understands the explanatory requirement in the definition of a syllogism: the requirement that the conclusion follow because of the premises. The key passage is Prior (...)
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  44. 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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  45. 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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  46. 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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  47. A New Logic, a New Information Measure, and a New Information-Based Approach to Interpreting Quantum Mechanics.David Ellerman - 2024 - Entropy Special Issue: Information-Theoretic Concepts in Physics 26 (2).
    The new logic of partitions is dual to the usual Boolean logic of subsets (usually presented only in the special case of the logic of propositions) in the sense that partitions and subsets are category-theoretic duals. The new information measure of logical entropy is the normalized quantitative version of partitions. The new approach to interpreting quantum mechanics (QM) is showing that the mathematics (not the physics) of QM is the linearized Hilbert space version of the mathematics of partitions. Or, putting (...)
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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. (1 other version)Quantum mechanics over sets: a pedagogical model with non-commutative finite probability theory as its quantum probability calculus.David Ellerman - 2017 - Synthese (12).
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous attempts (...)
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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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