Results for 'David Godden'

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  1. A theory of presumption for everyday argumentation.David M. Godden & Douglas N. Walton - 2007 - Pragmatics and Cognition 15 (2):313-346.
    The paper considers contemporary models of presumption in terms of their ability to contribute to a working theory of presumption for argumentation. Beginning with the Whatelian model, we consider its contemporary developments and alternatives, as proposed by Sidgwick, Kauffeld, Cronkhite, Rescher, Walton, Freeman, Ullmann-Margalit, and Hansen. Based on these accounts, we present a picture of presumptions characterized by their nature, function, foundation and force. On our account, presumption is a modal status that is attached to a claim and has the (...)
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  2. A probabilistic analysis of argument cogency.David Godden & Frank Zenker - 2018 - Synthese 195 (4):1715-1740.
    This paper offers a probabilistic treatment of the conditions for argument cogency as endorsed in informal logic: acceptability, relevance, and sufficiency. Treating a natural language argument as a reason-claim-complex, our analysis identifies content features of defeasible argument on which the RSA conditions depend, namely: change in the commitment to the reason, the reason’s sensitivity and selectivity to the claim, one’s prior commitment to the claim, and the contextually determined thresholds of acceptability for reasons and for claims. Results contrast with, and (...)
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  3. (1 other version)Mill on logic.David Godden - 2016 - In Christopher Macleod & Dale E. Miller (eds.), A Companion to Mill. Hoboken: John Wiley & Sons, Inc.. pp. 175-191.
    Working within the broad lines of general consensus that mark out the core features of John Stuart Mill’s (1806–1873) logic, as set forth in his A System of Logic (1843–1872), this chapter provides an introduction to Mill’s logical theory by reviewing his position on the relationship between induction and deduction, and the role of general premises and principles in reasoning. Locating induction, understood as a kind of analogical reasoning from particulars to particulars, as the basic form of inference that is (...)
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  4. Corroborative evidence.David Godden - 2010 - In C. Tindale & C. Reed (eds.), Dialectics, Dialogue and Argumentation: An Examination of Douglas Walton's Theories of Reasoning and Argument. College Publications. pp. 201-212.
    Corroborative evidence can have a dual function in argument whereby not only does it have a primary function of providing direct evidence supporting the main conclusion, but it also has a secondary, bolstering function which increases the probative value of some other piece of evidence in the argument. It has been argued (Redmayne, 2000) that this double function gives rise to the fallacy of double counting whereby the probative weight of evidence is overvalued by counting it twice. Walton has proposed (...)
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  5. Pushing the bounds of rationality: Argumentation and extended cognition.David Godden - 2016 - In Paglieri Fabio, Bonelli Laura & Felletti Silvia (eds.), The psychology of argument: Cognitive approaches to argumentation and persuasion. College Publications. pp. 67-83.
    One of the central tasks of a theory of argumentation is to supply a theory of appraisal: a set of standards and norms according to which argumentation, and the reasoning involved in it, is properly evaluated. In their most general form, these can be understood as rational norms, where the core idea of rationality is that we rightly respond to reasons by according the credence we attach to our doxastic and conversational commitments with the probative strength of the reasons we (...)
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  6. Alternatives to suspicion and trust as conditions for challenge in argumentative dialogues.Douglas Walton & David Godden - 2005 - In P. Riley (ed.), Engaging argument: Selected papers from the 2005 NCA/AFA Summer Conference on Argumentation. National Communication Association. pp. 438-444.
    A problem for dialogue models of argumentation is to specify a set of conditions under which an opponent’s claims, offered in support of a standpoint under dispute, ought to be challenged. This project is related to the issue of providing a set of acceptability conditions for claims made in a dialogue. In this paper, we consider the conditions of suspicion and trust articulated by Jacobs (Alta, 2003), arguing that neither are acceptable as general conditions for challenge. We propose a third (...)
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  7. What is Conceptual Engineering and What Should it Be?David Chalmers - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63.
    Conceptual engineering is the design, implementation, and evaluation of concepts. Conceptual engineering includes or should include de novo conceptual engineering (designing a new concept) as well as conceptual re-engineering (fixing an old concept). It should also include heteronymous (different-word) as well as homonymous (same-word) conceptual engineering. I discuss the importance and the difficulty of these sorts of conceptual engineering in philosophy and elsewhere.
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  8. (1 other version)Disagreement as evidence: The epistemology of controversy.David Christensen - 2009 - Philosophy Compass 4 (5):756-767.
    How much should your confidence in your beliefs be shaken when you learn that others – perhaps 'epistemic peers' who seem as well-qualified as you are – hold beliefs contrary to yours? This article describes motivations that push different philosophers towards opposite answers to this question. It identifies a key theoretical principle that divides current writers on the epistemology of disagreement. It then examines arguments bearing on that principle, and on the wider issue. It ends by describing some outstanding questions (...)
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  9. The World Just Is the Way It Is.David Builes - 2021 - The Monist 104 (1):1-27.
    What is the relationship between objects and properties? According to a standard view, there are primitive individuals that ‘instantiate’ or ‘have’ various properties. According to a rival view, objects are mere ‘bundles’ of properties. While there are a number of reasons to be skeptical of primitive individuals, there are also a number of challenges that the bundle theorist faces. The goal of this paper is to formulate a view about the relationship between objects and properties that avoids many of the (...)
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  10. Extended Cognition and Extended Consciousness.David Chalmers - 2019 - In Matteo Colombo, Elizabeth Irvine & Mog Stapleton (eds.), Andy Clark and his Critics. New York, NY: Oxford University Press.
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  11. 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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  12. Diachronic Self-Making.David Mark Kovacs - 2020 - Australasian Journal of Philosophy 98 (2):349-362.
    This paper develops the Diachronic Self-Making View, the view that we are the non-accidentally best candidate referents of our ‘I’-beliefs. A formulation and defence of DSV is followed by an overview of its treatment of familiar puzzle cases about personal identity. The rest of the paper focuses on a challenge to DSV, the Puzzle of Inconstant ‘I’-beliefs: the view appears to force on us inconsistent verdicts about personal identity in cases that we would naturally describe as changes in one’s de (...)
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  13. Structuralism as a Response to Skepticism.David J. Chalmers - 2018 - Journal of Philosophy 115 (12):625-660.
    Cartesian arguments for global skepticism about the external world start from the premise that we cannot know that we are not in a Cartesian scenario such as an evil-demon scenario, and infer that because most of our empirical beliefs are false in such a scenario, these beliefs do not constitute knowledge. Veridicalist responses to global skepticism respond that arguments fail because in Cartesian scenarios, many or most of our empirical beliefs are true. Some veridicalist responses have been motivated using verificationism, (...)
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  14. The explanation game: a formal framework for interpretable machine learning.David S. Watson & Luciano Floridi - 2020 - Synthese 198 (10):1–⁠32.
    We propose a formal framework for interpretable machine learning. Combining elements from statistical learning, causal interventionism, and decision theory, we design an idealised explanation game in which players collaborate to find the best explanation for a given algorithmic prediction. Through an iterative procedure of questions and answers, the players establish a three-dimensional Pareto frontier that describes the optimal trade-offs between explanatory accuracy, simplicity, and relevance. Multiple rounds are played at different levels of abstraction, allowing the players to explore overlapping causal (...)
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  15. A Defense of Shepherd’s Account of Cause and Effect as Synchronous.David Landy - 2020 - Journal of Modern Philosophy 2 (1):1.
    Lady Mary Shepherd holds that the relation of cause and effect consists of the combination of two objects to create a third object. She also holds that this account implies that causes are synchronous with their effects. There is a single instant in which the objects that are causes combine to create the object which is their effect. Hume argues that cause and effect cannot be synchronous because if they were then the entire chain of successive causes and effects would (...)
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  16. Formulating Independence.David Christensen - 2019 - In Mattias Skipper & Asbjørn Steglich-Petersen (eds.), Higher-Order Evidence: New Essays. Oxford, United Kingdom: Oxford University Press. pp. 13-34.
    We often get evidence that bears on the reliability of some of our own first-order reasoning. The rational response to such “higher-order” evidence would seem to depend on a rational assessment of how reliable we can expect that reasoning to be, in light of the higher-order evidence. “Independence” principles are intended to constrain this reliability-assessment, so as to prevent question-begging reliance on the very reasoning being assessed. However, extant formulations of Independence principles tend to be vague or ambiguous, and coming (...)
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  17. Folk intuitions of Actual Causation: A Two-Pronged Debunking Explanation.David Rose - 2017 - Philosophical Studies 174 (5):1323-1361.
    How do we determine whether some candidate causal factor is an actual cause of some particular outcome? Many philosophers have wanted a view of actual causation which fits with folk intuitions of actual causation and those who wish to depart from folk intuitions of actual causation are often charged with the task of providing a plausible account of just how and where the folk have gone wrong. In this paper, I provide a range of empirical evidence aimed at showing just (...)
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  18. Responsibility: the State of the Question Fault Lines in the Foundations.David Shoemaker - 2020 - Southern Journal of Philosophy 58 (2):205-237.
    Explores five fault lines in the fledgling field of responsibility theory, serious methodological disputes traceable to P.F. Strawson's "Freedom and Resentment.".
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  19. 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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  20. A Paradox of Evidential Equivalence.David Builes - 2020 - Mind 129 (513):113-127.
    Our evidence can be about different subject matters. In fact, necessarily equivalent pieces of evidence can be about different subject matters. Does the hyperintensionality of ‘aboutness’ engender any hyperintensionality at the level of rational credence? In this paper, I present a case which seems to suggest that the answer is ‘yes’. In particular, I argue that our intuitive notions of independent evidence and inadmissible evidence are sensitive to aboutness in a hyperintensional way. We are thus left with a paradox. While (...)
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  21. Look at the time!David Builes - 2022 - Analysis 82 (1):15-23.
    I argue that we can get evidence for the temporal ontology of the universe simply by looking at the time. The argument is an extension of the ‘epistemic objection’ towards Growing Block theories.
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  22. Know-how as Competence. A Rylean Responsibilist Account.David Löwenstein - 2017 - Frankfurt am Main: Vittorio Klostermann.
    What does it mean to know how to do something? This book develops a comprehensive account of know-how, a crucial epistemic goal for all who care about getting things right, not only with respect to the facts, but also with respect to practice. It proposes a novel interpretation of the seminal work of Gilbert Ryle, according to which know-how is a competence, a complex ability to do well in an activity in virtue of guidance by an understanding of what it (...)
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  23. Folk teleology drives persistence judgments.David Rose, Jonathan Schaffer & Kevin Tobia - 2020 - Synthese 197 (12):5491-5509.
    Two separate research programs have revealed two different factors that feature in our judgments of whether some entity persists. One program—inspired by Knobe—has found that normative considerations affect persistence judgments. For instance, people are more inclined to view a thing as persisting when the changes it undergoes lead to improvements. The other program—inspired by Kelemen—has found that teleological considerations affect persistence judgments. For instance, people are more inclined to view a thing as persisting when it preserves its purpose. Our goal (...)
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  24. Why Take Painkillers?David Bain - 2019 - Noûs 53 (2):462-490.
    Accounts of the nature of unpleasant pain have proliferated over the past decade, but there has been little systematic investigation of which of them can accommodate its badness. This paper is such a study. In its sights are two targets: those who deny the non-instrumental disvalue of pain's unpleasantness; and those who allow it but deny that it can be accommodated by the view—advanced by me and others—that unpleasant pains are interoceptive experiences with evaluative content. Against the former, I argue (...)
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  25. Acquaintance and Phenomenal Concepts.David Pitt - 2019 - In Sam Coleman (ed.), The Knowledge Argument. New York: Cambridge University Press. pp. 87-101.
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  26. Grounding and the argument from explanatoriness.David Mark Kovacs - 2017 - Philosophical Studies 174 (12):2927-2952.
    In recent years, metaphysics has undergone what some describe as a revolution: it has become standard to understand a vast array of questions as questions about grounding, a metaphysical notion of determination. Why should we believe in grounding, though? Supporters of the revolution often gesture at what I call the Argument from Explanatoriness: the notion of grounding is somehow indispensable to a metaphysical type of explanation. I challenge this argument and along the way develop a “reactionary” view, according to which (...)
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  27. Ontology and Cognitive Outcomes.David Limbaugh, Jobst Landgrebe, David Kasmier, Ronald Rudnicki, James Llinas & Barry Smith - 2020 - Journal of Knowledge Structures and Systems 1 (1): 3-22.
    The term ‘intelligence’ as used in this paper refers to items of knowledge collected for the sake of assessing and maintaining national security. The intelligence community (IC) of the United States (US) is a community of organizations that collaborate in collecting and processing intelligence for the US. The IC relies on human-machine-based analytic strategies that 1) access and integrate vast amounts of information from disparate sources, 2) continuously process this information, so that, 3) a maximally comprehensive understanding of world actors (...)
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  28. Against Quantum Indeterminacy.David Glick - 2017 - Thought: A Journal of Philosophy 6 (3):204-213.
    A growing literature is premised on the claim that quantum mechanics provides evidence for metaphysical indeterminacy. But does it? None of the currently fashionable realist interpretations involve fundamental indeterminacy and the ‘standard interpretation’, to the extent that it can be made out, doesn't require indeterminacy either.
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  29. Shepherd on Hume’s Argument for the Possibility of Uncaused Existence.David Landy - 2020 - Journal of Modern Philosophy 2 (1):13.
    Shepherd’s argument against Hume’s thesis that an object can begin its existence uncaused has received short shrift in the secondary literature. I argue that the key to understanding that argument’s success is understanding its dialectical context. Shepherd sees the dialectical situation as follows. Hume presents an argument against Locke and Clarke the conclusion of which is that an object can come into existence uncaused. An essential premise of that argument is Hume’s theory of mental representation. Hume’s theory of mental representation, (...)
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  30. Self-made People.David Mark Kovacs - 2016 - Mind 125 (500):1071-1099.
    The Problem of Overlappers is a puzzle about what makes it the case, and how we can know, that we have the parts we intuitively think we have. In this paper, I develop and motivate an overlooked solution to this puzzle. According to what I call the self-making view it is within our power to decide what we refer to with the personal pronoun ‘I’, so the truth of most of our beliefs about our parts is ensured by the very (...)
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  31. What is Wrong with Self-Grounding?David Mark Kovacs - 2018 - Erkenntnis 83 (6):1157-1180.
    Many philosophers embrace grounding, supposedly a central notion of metaphysics. Grounding is widely assumed to be irreflexive, but recently a number of authors have questioned this assumption: according to them, it is at least possible that some facts ground themselves. The primary purpose of this paper is to problematize the notion of self-grounding through the theoretical roles usually assigned to grounding. The literature typically characterizes grounding as at least playing two central theoretical roles: a structuring role and an explanatory role. (...)
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  32. Is Justification Necessary for Knowledge?David Sackris & James R. Beebe - 2014 - In James R. Beebe (ed.), Advances in Experimental Epistemology. New York: Bloomsbury Academic. pp. 175-192.
    Justification has long been considered a necessary condition for knowledge, and theories that deny the necessity of justification have been dismissed as nonstarters. In this chapter, we challenge this long-standing view by showing that many of the arguments offered in support of it fall short and by providing empirical evidence that individuals are often willing to attribute knowledge when epistemic justification is lacking.
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  33. Letting Go of “Natural Kind”: Toward a Multidimensional Framework of Nonarbitrary Classification.David Ludwig - 2018 - Philosophy of Science 85 (1):31-52.
    This article uses the case study of ethnobiological classification to develop a positive and a negative thesis about the state of natural kind debates. On the one hand, I argue that current accounts of natural kinds can be integrated in a multidimensional framework that advances understanding of classificatory practices in ethnobiology. On the other hand, I argue that such a multidimensional framework does not leave any substantial work for the notion “natural kind” and that attempts to formulate a general account (...)
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  34. On Acting as Judge in One’s Own (Epistemic) Case.David Christensen - 2018 - Proceedings and Addresses of the American Philosophical Association 93 (1):207-235.
    We often get reason to doubt the reliability of some of our own reasoning. The rational response to such evidence would seem to depend on how reliable one should estimate that reasoning to be. Independence principles constrain that reliability-assessment, to prevent question-begging reliance on the very reasoning being assessed. But this has consequences some find disturbing: can it be rational for an agent to bracket some of her reasons—which she may, after all, be assessing impeccably? So several arguments have been (...)
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  35. Response.David DeGrazia - 1991 - Between the Species 7 (2):79-80.
    Response to Squadrito, Kathy. "Commentary: Interests and Equal Moral Status." Between the Species 7, no. 2 (1991): 78-79.
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  36. 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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  37. Evaluativist Accounts of Pain's Unpleasantness.David Bain - 2017 - In Jennifer Corns (ed.), The Routledge Handbook of Philosophy of Pain. New York: Routledge. pp. 40-50.
    Evaluativism is best thought of as a way of enriching a perceptual view of pain to account for pain’s unpleasantness or painfulness. Once it was common for philosophers to contrast pains with perceptual experiences (McGinn 1982; Rorty 1980). It was thought that perceptual experiences were intentional (or content-bearing, or about something), whereas pains were representationally blank. But today many of us reject this contrast. For us, your having a pain in your toe is a matter not of your sensing “pain-ly” (...)
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  38. Should Investigations of Consciousness Wait for Better Theory?David Trafimow - 2013 - Dialogues in Philosophy, Mental and Neuro Sciences 6 (2):78-79.
    Di Francesco and Marraffa performed a well-organized exploration of the literature concerned with consciousness. They described how interest in the issue dates back to ancient Greek philosophers, and continues to be of interest. Researchers invest impressive amounts of resources into investigating the issue. My goal is to question whether this is optimal.
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  39. In Defense of Clutter.Brendan Balcerak Jackson, DiDomenico David & Kenji Lota - 2022 - Ergo: An Open Access Journal of Philosophy 9.
    Gilbert Harman’s famous principle of Clutter Avoidance commands that “one should not clutter one’s mind with trivialities". Many epistemologists have been inclined to accept Harman’s principle, or something like it. This is significant because the principle appears to have robust implications for our overall picture of epistemic normativity. Jane Friedman (2018) has recently argued that one potential implication is that there are no genuine purely evidential norms on belief revision. In this paper, we present some new objections to a suitably (...)
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  40. (1 other version)Forms of Luminosity: Epistemic Modality and Hyperintensionality in Mathematics.David Elohim - 2017 - Dissertation, Arché, University of St Andrews
    This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. David Elohim examines 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, (...)
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  41. Placebo trials without mechanisms: How far can they go?David Teira - 2019 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 77 (C):101177.
    In this paper, Isuggest that placebo effects, as we know them today, should be understood as experimental phenomena, low-level regularities whose causal structure is grasped through particular experimental designs with little theoretical guidance. Focusing on placebo interventions with needles for pain reduction -one of the few placebo regularities that seems to arise in meta-analytical studies- I discuss the extent to which it is possible to decompose the different factors at play through more fine-grained randomized clinical trials. My sceptical argument is (...)
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  42. On a Theological Counterexample to the Principle of Alternate Possibilities.David P. Hunt - 2002 - Faith and Philosophy 19 (2):245-255.
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  43. Cosmology and convention.David Merritt - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 57:41-52.
    I argue that some important elements of the current cosmological model are 'conventionalist’ in the sense defined by Karl Popper. These elements include dark matter and dark energy; both are auxiliary hypotheses that were invoked in response to observations that falsified the standard model as it existed at the time.
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  44. Revamping the Metaphysics of Ethnobiological Classification.David Ludwig - 2018 - Current Anthropology 59 (4):415-438.
    Ethnobiology has a long tradition of metaphysical debates about the “naturalness,” “objectivity”, “reality”, and “universality” of classifications. Especially the work of Brent Berlin has been influential in developing a “convergence metaphysics” that explains cross-cultural similarities of knowledge systems through shared recognition of objective discontinuities in nature. Despite its influence on the development of the field, convergence metaphysics has largely fallen out of favor as contemporary ethnobiologists tend to emphasize the locality and diversity of classificatory practices. The aim of this article (...)
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  45. Tracing Truth Through Conceptual Scaling: Mapping People’s Understanding of Abstract Concepts.Lukas S. Huber, David-Elias Künstle & Kevin Reuter - manuscript
    Traditionally, the investigation of truth has been anchored in a priori reasoning. Cognitive science deviates from this tradition by adding empirical data on how people understand and use concepts. Building on psychophysics and machine learning methods, we introduce conceptual scaling, an approach to map people's understanding of abstract concepts. This approach, allows computing participant-specific conceptual maps from obtained ordinal comparison data, thereby quantifying perceived similarities among abstract concepts. Using this approach, we investigated individual's alignment with philosophical theories on truth and (...)
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  46. From punishment to universalism.David Rose & Shaun Nichols - 2018 - Mind and Language 34 (1):59-72.
    Many philosophers have claimed that the folk endorse moral universalism. Some have taken the folk view to support moral universalism; others have taken the folk view to reflect a deep confusion. And while some empirical evidence supports the claim that the folk endorse moral universalism, this work has uncovered intra-domain differences in folk judgments of moral universalism. In light of all this, our question is: why do the folk endorse moral universalism? Our hypothesis is that folk judgments of moral universalism (...)
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  47. Thisnesses, Propositions, and Truth.David Ingram - 2018 - Pacific Philosophical Quarterly 99 (3):442-463.
    Presentists, who believe that only present objects exist, should accept a thisness ontology, since it can do considerable work in defence of presentism. In this paper, I propose a version of presentism that involves thisnesses of past and present entities and I argue this view solves important problems facing standard versions of presentism.
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  48. Demystifying Emergence.David Yates - 2016 - Ergo: An Open Access Journal of Philosophy 3:809-841.
    Are the special sciences autonomous from physics? Those who say they are need to explain how dependent special science properties could feature in irreducible causal explanations, but that’s no easy task. The demands of a broadly physicalist worldview require that such properties are not only dependent on the physical, but also physically realized. Realized properties are derivative, so it’s natural to suppose that they have derivative causal powers. Correspondingly, philosophical orthodoxy has it that if we want special science properties to (...)
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  49. The Stony Metaphysical Heart of Animalism.David Shoemaker - 2016 - In Stephan Blatti & Paul F. Snowdon (eds.), Animalism: New Essays on Persons, Animals, and Identity. Oxford, GB: Oxford University Press UK. pp. 303-328.
    Animalism—the view that the identity across time of individuals like us consists in the persistence of our animal organisms—does poorly at accounting for our identity-related practical concerns. The reason is straightforward: whereas our practical concerns seem to track the identity of psychological creatures—persons—animalism focuses on the identity of human organisms who are not essentially persons. This lack of fit between our practical concerns and animalism has been taken to reduce animalism’s plausibility (relative to psychological criteria of identity). In this paper, (...)
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  50. (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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