Results for 'Ross Parker'

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  1. A Critical Evaluation of Rea’s Response to the Problem of Divine Hiddenness.Ross Parker - 2014 - European Journal for Philosophy of Religion 6 (2):117--138.
    In an important discussion of the problem of hiddenness, Michael Rea briefly presents and defends an argument from divine hiddenness which he thinks encapsulates the problem of divine hiddenness, and then develops a detailed and nuanced response to this argument. Importantly, Rea claims that his response does not depend on the commonly held theistic view that God allows hiddenness to secure human goods. In this paper I offer a detailed criticism of Rea’s account of what justifies God in allowing divine (...)
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  2. The importance of getting the ethics right in a pandemic treaty.G. Owen Schaefer, Caesar A. Atuire, Sharon Kaur, Michael Parker, Govind Persad, Maxwell J. Smith, Ross Upshur & Ezekiel Emanuel - 2023 - The Lancet Infectious Diseases 23 (11):e489 - e496.
    The COVID-19 pandemic revealed numerous weaknesses in pandemic preparedness and response, including underfunding, inadequate surveillance, and inequitable distribution of countermeasures. To overcome these weaknesses for future pandemics, WHO released a zero draft of a pandemic treaty in February, 2023, and subsequently a revised bureau's text in May, 2023. COVID-19 made clear that pandemic prevention, preparedness, and response reflect choices and value judgements. These decisions are therefore not a purely scientific or technical exercise, but are fundamentally grounded in ethics. The latest (...)
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  3. (1 other version)Symmetry arguments against regular probability: A reply to recent objections.Matthew W. Parker - 2018 - European Journal for Philosophy of Science 9 (1):8.
    A probability distribution is regular if no possible event is assigned probability zero. While some hold that probabilities should always be regular, three counter-arguments have been posed based on examples where, if regularity holds, then perfectly similar events must have different probabilities. Howson (2017) and Benci et al. (2016) have raised technical objections to these symmetry arguments, but we see here that their objections fail. Howson says that Williamson’s (2007) “isomorphic” events are not in fact isomorphic, but Howson is speaking (...)
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  4. The Conditions for Ethical Chemical Restraints.Parker Crutchfield & Michael Redinger - 2024 - American Journal of Bioethics Neuroscience 15 (1):3-16.
    The practice of medicine frequently involves the unconsented restriction of liberty. The reasons for unilateral liberty restrictions are typically that being confined, strapped down, or sedated are necessary to prevent the person from harming themselves or others. In this paper, we target the ethics of chemical restraints, which are medications that are used to intentionally restrict the mental states associated with the unwanted behaviors, and are typically not specifically indicated for the condition for which the patient is being treated. Specifically, (...)
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  5. Compulsory moral bioenhancement should be covert.Parker Crutchfield - 2018 - Bioethics 33 (1):112-121.
    Some theorists argue that moral bioenhancement ought to be compulsory. I take this argument one step further, arguing that if moral bioenhancement ought to be compulsory, then its administration ought to be covert rather than overt. This is to say that it is morally preferable for compulsory moral bioenhancement to be administered without the recipients knowing that they are receiving the enhancement. My argument for this is that if moral bioenhancement ought to be compulsory, then its administration is a matter (...)
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  6. The Priority of the Epistemic.Parker Crutchfield & Scott Scheall - 2021 - Episteme 18 (4):726-737.
    Epistemic burdens – the nature and extent of our ignorance (that and how) with respect to various courses of action – serve to determine our incentive structures. Courses of action that seem to bear impossibly heavy epistemic burdens are typically not counted as options in an actor’s menu, while courses of action that seem to bear comparatively heavy epistemic burdens are systematically discounted in an actor’s menu relative to options that appear less epistemically burdensome. That ignorance serves to determine what (...)
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  7. Moral Enhancement Can Kill.Parker Crutchfield - 2018 - Journal of Medicine and Philosophy 43 (5):568-584.
    There is recent empirical evidence that personal identity is constituted by one’s moral traits. If true, this poses a problem for those who advocate for moral enhancement, or the manipulation of a person’s moral traits through pharmaceutical or other biological means. Specifically, if moral enhancement manipulates a person’s moral traits, and those moral traits constitute personal identity, then it is possible that moral enhancement could alter a person’s identity. I go a step further and argue that under the right conditions, (...)
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  8. Moral Normative Force and Clinical Ethics Expertise.Parker Crutchfield - 2019 - American Journal of Bioethics 19 (11):89-91.
    Brummett and Salter propose a useful and timely taxonomy of clinical ethics expertise (2019). As the field becomes further “professionalized” this taxonomy is important, and the core of it is right. It needs some refinement around the edges, however. In their conclusion, Brummett and Salter rightly point out that there is a significant difference between the ethicist whose recommendations are procedure- and process-heavy, consensus-driven, and dialogical and the authoritarian ethicist whose recommendations flow from “private moral views” (Brummett and Salter, 2019). (...)
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  9. Three concepts of decidability for general subsets of uncountable spaces.Matthew W. Parker - 2003 - Theoretical Computer Science 351 (1):2-13.
    There is no uniquely standard concept of an effectively decidable set of real numbers or real n-tuples. Here we consider three notions: decidability up to measure zero [M.W. Parker, Undecidability in Rn: Riddled basins, the KAM tori, and the stability of the solar system, Phil. Sci. 70(2) (2003) 359–382], which we abbreviate d.m.z.; recursive approximability [or r.a.; K.-I. Ko, Complexity Theory of Real Functions, Birkhäuser, Boston, 1991]; and decidability ignoring boundaries [d.i.b.; W.C. Myrvold, The decision problem for entanglement, in: (...)
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  10. The Epistemology of Moral Bioenhancement.Parker Crutchfield - 2016 - Bioethics 30 (5):389-396.
    Moral bioenhancement is the potential practice of manipulating individuals’ moral behaviors by biological means in order to help resolve pressing moral issues such as climate change and terrorism. This practice has obvious ethical implications, and these implications have been and continue to be discussed in the bioethics literature. What have not been discussed are the epistemological implications of moral bioenhancement. This article details some of these implications of engaging in moral bioenhancement. The argument begins by making the distinction between moral (...)
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  11. Legal proof and statistical conjunctions.Lewis D. Ross - 2020 - Philosophical Studies 178 (6):2021-2041.
    A question, long discussed by legal scholars, has recently provoked a considerable amount of philosophical attention: ‘Is it ever appropriate to base a legal verdict on statistical evidence alone?’ Many philosophers who have considered this question reject legal reliance on bare statistics, even when the odds of error are extremely low. This paper develops a puzzle for the dominant theories concerning why we should eschew bare statistics. Namely, there seem to be compelling scenarios in which there are multiple sources of (...)
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  12.  31
    Quasi-Quanta Language Package.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1:80.
    For Praising Yahovah, I do publish these mathematical gesturing forms from the infinity meaning of His word. Thanks mom! -/- This quasi-quanta language package outlines methods for combining by topological functor entanglement, symbolic, numeric-energy components. Methods, guidelines and algebraic rules for combining the quasi-quanta into the energy number equivalencies are also notated herein. -/- The Quasi-Quanta Language Package is intended to show the symbolic patterns for configuring the quasi quanta symbology into the numeric energy expressions. This should put to rest (...)
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  13. Epistemic burdens and the incentives of surrogate decision-makers.Parker Crutchfield & Scott Scheall - 2019 - Medicine, Health Care and Philosophy 22 (4):613-621.
    We aim to establish the following claim: other factors held constant, the relative weights of the epistemic burdens of competing treatment options serve to determine the options that patient surrogates pursue. Simply put, surrogates confront an incentive, ceteris paribus, to pursue treatment options with respect to which their knowledge is most adequate to the requirements of the case. Regardless of what the patient would choose, options that require more knowledge than the surrogate possesses (or is likely to learn) will either (...)
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  14.  79
    Journal article Open Formalizing Mechanical Analysis Using Sweeping Net Methods II: Written Without Complex Analysis and With Complex Analysis.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1:13.
    Published with great thanksgiving for Yaohushua, the living One Yahowah, "Jesus Christ." -/- In previous work, Formalizing Mechanical Analysis Using Sweeping Net Methods I, sweeping net methods have been extended to complex analysis, relying on the argument of complex functions defined on the unit circle. In this paper, we reformulate these methods purely within a real-valued and geometric framework, avoiding the use of complex analysis. By redefining the sweeping net constructs and the associated theorems using real functions and geometric interpretations (...)
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  15.  71
    S - The Set Where Counting is Impossible.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1 (1):3.
    In this paper, we define and explore the mathematical space S, a system where traditional numerical elements like natural numbers are undefined due to the non-evaluability of certain integrals. We investigate how purely formal and logical structures can be constructed within S without numerical interpretations, and we explore how the concept of infinity can be approached within this framework. The document also includes discussions on the implications, applications, and potential future explorations within S.
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  16. Mental Privacy, Cognitive Liberty, and Hog-tying.Parker Crutchfield - forthcoming - Journal of Bioethical Inquiry:1-16.
    As the science and technology of the brain and mind develop, so do the ways in which brains and minds may be surveilled and manipulated. Some cognitive libertarians worry that these developments undermine cognitive liberty, or “freedom of thought.” I argue that protecting an individual’s cognitive liberty undermines others’ ability to use their own cognitive liberty. Given that the threatening devices and processes are not relevantly different from ordinary and frequent intrusions upon one’s brain and mind, strong protections of cognitive (...)
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  17. The Conditions For Ethical Application of Restraints.Parker Crutchfield, Tyler Gibb, Michael Redinger, Dan Ferman & John Livingstone - 2018 - Chest 155 (3):617-625.
    Despite the lack of evidence for their effectiveness, the use of physical restraints for patients is widespread. The best ethical justification for restraining patients is that it prevents them from harming themselves. We argue that even if the empirical evidence supported their effectiveness in achieving this aim, their use would nevertheless be unethical, so long as well known exceptions to informed consent fail to apply. Specifically, we argue that ethically justifiable restraint use demands certain necessary and sufficient conditions. These conditions (...)
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  18. Rehabilitating Statistical Evidence.Lewis Ross - 2019 - Philosophy and Phenomenological Research 102 (1):3-23.
    Recently, the practice of deciding legal cases on purely statistical evidence has been widely criticised. Many feel uncomfortable with finding someone guilty on the basis of bare probabilities, even though the chance of error might be stupendously small. This is an important issue: with the rise of DNA profiling, courts are increasingly faced with purely statistical evidence. A prominent line of argument—endorsed by Blome-Tillmann 2017; Smith 2018; and Littlejohn 2018—rejects the use of such evidence by appealing to epistemic norms that (...)
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  19. Newton on active and passive quantities of matter.Adwait A. Parker - 2020 - Studies in History and Philosophy of Science Part A 84:1-11.
    Newton published his deduction of universal gravity in Principia (first ed., 1687). To establish the universality (the particle-to-particle nature) of gravity, Newton must establish the additivity of mass. I call ‘additivity’ the property a body's quantity of matter has just in case, if gravitational force is proportional to that quantity, the force can be taken to be the sum of forces proportional to each particle's quantity of matter. Newton's argument for additivity is obscure. I analyze and assess manuscript versions of (...)
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  20. Recent work on the proof paradox.Lewis D. Ross - 2020 - Philosophy Compass 15 (6):e12667.
    Recent years have seen fresh impetus brought to debates about the proper role of statistical evidence in the law. Recent work largely centres on a set of puzzles known as the ‘proof paradox’. While these puzzles may initially seem academic, they have important ramifications for the law: raising key conceptual questions about legal proof, and practical questions about DNA evidence. This article introduces the proof paradox, why we should care about it, and new work attempting to resolve it.
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  21. Abolishing morality in biomedical ethics.Parker Crutchfield & Scott Scheall - 2024 - Bioethics 38 (4):316-325.
    In biomedical ethics, there is widespread acceptance of moral realism, the view that moral claims express a proposition and that at least some of these propositions are true. Biomedical ethics is also in the business of attributing moral obligations, such as “S should do X.” The problem, as we argue, is that against the background of moral realism, most of these attributions are erroneous or inaccurate. The typical obligation attribution issued by a biomedical ethicist fails to truly capture the person's (...)
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  22. Basic Liberties, Consent, and Chemical Restraints.Parker Crutchfield & Michael Redinger - 2024 - American Journal of Bioethics Neuroscience 15 (2).
    We thank all the thoughtful authors for their insightful comments. In this response, we try to address some of themes that emerged from the commentaries. We leave aside some of those comments that...
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  23. Belief, Credence, and Pragmatic Encroachment.Jacob Ross & Mark Schroeder - 2014 - Philosophy and Phenomenological Research 88 (2):259-288.
    This paper compares two alternative explanations of pragmatic encroachment on knowledge (i.e., the claim that whether an agent knows that p can depend on pragmatic factors). After reviewing the evidence for such pragmatic encroachment, we ask how it is best explained, assuming it obtains. Several authors have recently argued that the best explanation is provided by a particular account of belief, which we call pragmatic credal reductivism. On this view, what it is for an agent to believe a proposition is (...)
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  24. Political Legitimacy, Authoritarianism, and Climate Change.Ross Mittiga - forthcoming - American Political Science Review.
    Is authoritarian power ever legitimate? The contemporary political theory literature—which largely conceptualizes legitimacy in terms of democracy or basic rights—would seem to suggest not. I argue, however, that there exists another, overlooked aspect of legitimacy concerning a government’s ability to ensure safety and security. While, under normal conditions, maintaining democracy and rights is typically compatible with guaranteeing safety, in emergency situations, conflicts between these two aspects of legitimacy can and often do arise. A salient example of this is the COVID-19 (...)
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  25. What is social structural explanation? A causal account.Lauren N. Ross - 2023 - Noûs 1 (1):163-179.
    Social scientists appeal to various “structures” in their explanations including public policies, economic systems, and social hierarchies. Significant debate surrounds the explanatory relevance of these factors for various outcomes such as health, behavioral, and economic patterns. This paper provides a causal account of social structural explanation that is motivated by Haslanger (2016). This account suggests that social structure can be explanatory in virtue of operating as a causal constraint, which is a causal factor with unique characteristics. A novel causal framework (...)
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  26. On the Privation Theory of Evil.Parker Haratine - 2023 - TheoLogica: An International Journal for Philosophy of Religion and Philosophical Theology 7 (2).
    Augustine’s privation theory of evil maintains that something is evil in virtue of a privation, a lack of something which ought to be present in a particular nature. While it is not evil for a human to lack wings, it is indeed evil for a human to lack rationality according to the end of a rational nature. Much of the literature on the privation theory focuses on whether it can successfully defend against counterexamples of positive evils, such as pain. This (...)
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  27. The virtue of curiosity.Lewis Ross - 2020 - Episteme 17 (1):105-120.
    ABSTRACT A thriving project in contemporary epistemology concerns identifying and explicating the epistemic virtues. Although there is little sustained argument for this claim, a number of prominent sources suggest that curiosity is an epistemic virtue. In this paper, I provide an account of the virtue of curiosity. After arguing that virtuous curiosity must be appropriately discerning, timely and exacting, I then situate my account in relation to two broader questions for virtue responsibilists: What sort of motivations are required for epistemic (...)
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  28. Engendering moral post‐persons: A novel self‐help strategy.Parker Crutchfield - 2020 - Bioethics 34 (7):679-686.
    Humans are morally deficient in a variety of ways. Some of these deficiencies threaten the continued existence of our species. For example, we appear to be incapable of responding to climate change in ways that are likely to prevent the consequent suffering. Some people are morally better than others, but we could all be better. The price of not becoming morally better is that when those events that threaten us occur, we will suffer from them. If we can prevent this (...)
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  29. It is better to be ignorant of our moral enhancement: A reply to Zambrano.Parker Crutchfield - 2019 - Bioethics 34 (2):190-194.
    In a recent issue of Bioethics, I argued that compulsory moral bioenhancement should be administered covertly. Alexander Zambrano has criticized this argument on two fronts. First, contrary to my claim, Zambrano claims that the prevention of ultimate harm by covert moral bioenhancement fails to meet conditions for permissible liberty‐restricting public health interventions. Second, contrary to my claim, Zambrano claims that covert moral bioenhancement undermines autonomy to a greater degree than does overt moral bioenhancement. In this paper, I rebut both of (...)
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  30. Set Size and the Part–Whole Principle.Matthew W. Parker - 2013 - Review of Symbolic Logic (4):1-24.
    Recent work has defended “Euclidean” theories of set size, in which Cantor’s Principle (two sets have equally many elements if and only if there is a one-to-one correspondence between them) is abandoned in favor of the Part-Whole Principle (if A is a proper subset of B then A is smaller than B). It has also been suggested that Gödel’s argument for the unique correctness of Cantor’s Principle is inadequate. Here we see from simple examples, not that Euclidean theories of set (...)
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  31. Default Positions in Clinical Ethics.Parker Crutchfield, Tyler Gibb & Michael Redinger - 2023 - Journal of Clinical Ethics 34 (3):258-269.
    Default positions, predetermined starting points that aid in complex decision-making, are common in clinical medicine. In this article, we identify and critically examine common default positions in clinical ethics practice. Whether default positions ought to be held is an important normative question, but here we are primarily interested in the descriptive, rather than normative, properties of default positions. We argue that default positions in clinical ethics function to protect and promote important values in medicine—respect for persons, utility, and justice. Further, (...)
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  32. AI and the expert; a blueprint for the ethical use of opaque AI.Amber Ross - 2022 - AI and Society (2022):Online.
    The increasing demand for transparency in AI has recently come under scrutiny. The question is often posted in terms of “epistemic double standards”, and whether the standards for transparency in AI ought to be higher than, or equivalent to, our standards for ordinary human reasoners. I agree that the push for increased transparency in AI deserves closer examination, and that comparing these standards to our standards of transparency for other opaque systems is an appropriate starting point. I suggest that a (...)
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  33. Ignorance and moral judgment: Testing the logical priority of the epistemic.Parker Crutchfield, Scott Scheall, Mark Justin Rzeszutek, Hayley Dawn Brown & Cristal Cardoso Sao Mateus - 2023 - Consciousness and Cognition 108 (C):103472.
    It has recently been argued that a person’s moral judgments (about both their own and others’ actions) are constrained by the nature and extent of their relevant ignorance and, thus, that such judgments are determined in the first instance by the person’s epistemic circumstances. It has been argued, in other words, that the epistemic is logically prior to other normative (e.g., ethical, prudential, pecuniary) considerations in human decision-making, that these other normative considerations figure in decision-making only after (logically and temporally) (...)
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  34. Profiling, Neutrality, and Social Equality.Lewis Ross - 2022 - Australasian Journal of Philosophy 100 (4):808-824.
    I argue that traditional views on which beliefs are subject only to purely epistemic assessment can reject demographic profiling, even when based on seemingly robust evidence. This is because the moral failures involved in demographic profiling can be located in the decision not to suspend judgment, rather than supposing that beliefs themselves are a locus of moral evaluation. A key moral reason to suspend judgment when faced with adverse demographic evidence is to promote social equality—this explains why positive profiling is (...)
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  35. How Intellectual Communities Progress.Lewis D. Ross - 2021 - Episteme (4):738-756.
    Recent work takes both philosophical and scientific progress to consist in acquiring factive epistemic states such as knowledge. However, much of this work leaves unclear what entity is the subject of these epistemic states. Furthermore, by focusing only on states like knowledge, we overlook progress in intermediate cases between ignorance and knowledge—for example, many now celebrated theories were initially so controversial that they were not known. -/- This paper develops an improved framework for thinking about intellectual progress. Firstly, I argue (...)
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  36. (1 other version)Criminal Proof: Fixed or Flexible?Lewis Ross - 2023 - Philosophical Quarterly (4):1-23.
    Should we use the same standard of proof to adjudicate guilt for murder and petty theft? Why not tailor the standard of proof to the crime? These relatively neglected questions cut to the heart of central issues in the philosophy of law. This paper scrutinises whether we ought to use the same standard for all criminal cases, in contrast with a flexible approach that uses different standards for different crimes. I reject consequentialist arguments for a radically flexible standard of proof, (...)
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  37. The limits of deontology in dental ethics education.Parker Crutchfield, Lea Brandt & David Fleming - 2016 - International Journal of Ethics Education 1 (2):183-200.
    Most current dental ethics curricula use a deontological approach to biomedical and dental ethics that emphasizes adherence to duties and principles as properties that determine whether an act is ethical. But the actual ethical orientation of students is typically unknown. The purpose of the current study was to determine the ethical orientation of dental students in resolving clinical ethical dilemmas. First-year students from one school were invited to participate in an electronic survey that included eight vignettes featuring ethical conflicts common (...)
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  38. The Foundations of Criminal Law Epistemology.Lewis Ross - 2022 - Ergo: An Open Access Journal of Philosophy 9.
    Legal epistemology has been an area of great philosophical growth since the turn of the century. But recently, a number of philosophers have argued the entire project is misguided, claiming that it relies on an illicit transposition of the norms of individual epistemology to the legal arena. This paper uses these objections as a foil to consider the foundations of legal epistemology, particularly as it applies to the criminal law. The aim is to clarify the fundamental commitments of legal epistemology (...)
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  39. Cascade versus Mechanism: The Diversity of Causal Structure in Science.Lauren N. Ross - forthcoming - British Journal for the Philosophy of Science.
    According to mainstream philosophical views causal explanation in biology and neuroscience is mechanistic. As the term ‘mechanism’ gets regular use in these fields it is unsurprising that philosophers consider it important to scientific explanation. What is surprising is that they consider it the only causal term of importance. This paper provides an analysis of a new causal concept—it examines the cascade concept in science and the causal structure it refers to. I argue that this concept is importantly different from the (...)
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  40. Epistemic Burdens, Moral Intimacy, and Surrogate Decision Making.Parker Crutchfield & Scott Scheall - 2020 - American Journal of Bioethics 20 (2):59-61.
    Berger (forthcoming) states that moral intimacy is important in applying the best interests standard. But what he calls moral intimacy requires that someone has overcome epistemic burdens needed to represent the patient. We argue elsewhere that good surrogate decision-making is first and foremost a matter of overcoming epistemic burdens, or those obstacles that stand in the way of a surrogate decision-maker knowing what a patient wants and how to satisfy those preferences. Berger’s notion of moral intimacy depends on epistemic intimacy: (...)
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  41. What is it like to write philosophy?Matthew W. Parker - 2016 - Lse Philosophy Blog:1-1.
    With essay deadlines looming for many of our students, Matt Parker relives some of the angst involved in writing philosophy. You’re not alone.
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  42. Non-Commutative Scalar Fields.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1:9.
    In this paper, we explore numerical methods for simulating scalar field con-figurations in non-commutative two-dimensional spaces. We focus on the finite difference techniques employed to compute mixed partial derivatives and the action functional in the presence of non-commutative corrections. The methods presented address the challenges posed by non-commutative geometry, specifically in computing the mixed derivative terms that arise due to the deformation of spatial coordinates. We introduce semi-implicit time-stepping schemes to en-sure numerical stability when dealing with stiff nonlinear terms. The (...)
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  43. When to Dismiss Conspiracy Theories Out of Hand.Ryan Ross - 2023 - Synthese 202 (3):1-26.
    Given that conspiracies exist, can we be justified in dismissing conspiracy theories without concerning ourselves with specific details? I answer this question by focusing on contrarian conspiracy theories, theories about conspiracies that conflict with testimony from reliable sources of information. For example, theories that say the CIA masterminded the assassination of John F. Kennedy, 9/11 was an inside job, or the Freemasons are secretly running the world are contrarian conspiracy theories. When someone argues for a contrarian conspiracy theory, their options (...)
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  44. The Curious Case of the Jury-shaped Hole: A Plea for Real Jury Research.Lewis Ross - forthcoming - International Journal of Evidence and Proof.
    Criminal juries make decisions of great importance. A key criticism of juries is that they are unreliable in a multitude of ways, from exhibiting racial or gendered biases, to misunderstanding their role, to engaging in impropriety such as internet research. Recently, some have even claimed that the use of juries creates injustice on a large-scale, as a cause of low conviction rates for sexual criminality. Unfortunately, empirical research into jury deliberation is undermined by the fact that researchers are unable to (...)
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  45. Reintegrative Retributivism.Lewis Ross - 2025 - Modern Law Review.
    Pessimistic empirical evidence about the reformatory and deterrent effects of punitive treatment poses a challenge for all justificatory theories of punishment. Yet, the dominant progressive view remains that punishment is required for the most serious crimes. This paper outlines an empirically sensitive prospectus for justifying punitive treatment through understanding the importance of reintegration. On this view, punishment can be viewed as a preferred alternative to the rigours of social ostracism, a common way of dealing with offenders in lieu of formal (...)
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  46.  70
    Limbertwig.Parker Emmerson - 2023
    This work is a attempt to describe various braches of mathematics and the analogies betwee them. Namely: 1) Symbolic Analogic 2) Lateral Algebraic Expressions 3) Calculus of Infin- ity Tensors Energy Number Synthesis 4) Perturbations in Waves of Calculus Structures (Group Theory of Calculus) 5) Algorithmic Formation of Symbols (Encoding Algorithms) The analogies between each of the branches (and most certainly other branches) of mathematics form, ”logic vectors.” Forming vector statements of logical analogies and semantic connections between the di↵erentiated branches (...)
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  47.  87
    Defining π via Infinite Densification of the Sweeping Net and Reverse Integration.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1 (1):7.
    We present a novel approach to defining the mathematical constant π through the infinite den- sification of a sweeping net, which approximates a circle as the net becomes infinitely dense. By developing and enhancing notation related to sweeping nets and saddle maps, we establish a rigor- ous framework for expressing π in terms of the densification process using reverse integration. This method, inspired by the concept that numbers ”come from infinity,” leverages a reverse integral approach to model the transition from (...)
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  48. More trouble for regular probabilitites.Matthew W. Parker - 2012
    In standard probability theory, probability zero is not the same as impossibility. But many have suggested that only impossible events should have probability zero. This can be arranged if we allow infinitesimal probabilities, but infinitesimals do not solve all of the problems. We will see that regular probabilities are not invariant over rigid transformations, even for simple, bounded, countable, constructive, and disjoint sets. Hence, regular chances cannot be determined by space-time invariant physical laws, and regular credences cannot satisfy seemingly reasonable (...)
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  49. Is Understanding Reducible?Lewis D. Ross - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (2):117-135.
    Despite playing an important role in epistemology, philosophy of science, and more recently in moral philosophy and aesthetics, the nature of understanding is still much contested. One attractive framework attempts to reduce understanding to other familiar epistemic states. This paper explores and develops a methodology for testing such reductionist theories before offering a counterexample to a recently defended variant on which understanding reduces to what an agent knows.
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  50.  91
    The Nuances of Deprogramming Zeros.Parker Emmerson - 2024 - Journal of Liberated Mathematics.
    Description In this paper, we propose an advanced mathematical framework centered around the Energy Number Field (E), which fundamentally avoids the conventional concept of zero by introducing a neutral ele- ment, νE. Through this approach, we redefine core mathematical constructs, including limits, continuity, differentiation, integration, and series summation, ensuring they operate seamlessly within a zero-less paradigm. We address and redefine matrix operations, topology, metric spaces, and complex analysis, aligning them with the principles of E. Additionally, we explore non-mappable properties of (...)
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