Results for 'Laetitia Parker'

97 found
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  1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. 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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  7. How Anselm Separates Morality from Happiness.Parker Haratine - 2024 - American Catholic Philosophical Quarterly 98 (2):195-213.
    Contemporary scholarship is divided over whether Anselm maintains a version of Eudaemonism. The debate centers on the question of whether the will for justice only moderates the will for happiness or, instead, provides a distinct end for which to act. Because of two key passages, various scholars hold that Anselm maintained elements of medieval Eudaemonism. In this article, I argue that Anselm separates morality from happiness, and I provide a sketch of his alternative view. First, I argue against some recent (...)
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  8. 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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  9. 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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  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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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  16. 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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  17. 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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  18. The Ancestral Sin is not Pelagian.Parker Haratine - 2023 - Journal of Analytic Theology 11:1-13.
    Various thinkers are concerned that the Orthodox view of Ancestral Sin does not avoid the age-old Augustinian concern of Pelagianism. After all, the doctrine of Ancestral Sin maintains that fallen human beings do not necessarily or inevitably commit actual sins. In contemporary literature, this claim could be articulated as a denial of the ‘inevitability thesis.’ A denial of the inevitability thesis, so contemporary thinkers maintain, seems to imply both that human beings can place themselves in right relation to God as (...)
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  19. Can We Think That Machines Are Conscious? A Survey of Philosophical Problems Facing the Attribution of Consciousness to Machines.Parker Settecase - forthcoming - Journal of Artificial Intelligence and Consciousness 11 (01):35-50.
    In this paper I’ll examine whether we could be justified in attributing consciousness to artificial intelligent systems. First, I’ll give a brief history of the concept of artificial intelligence (AI) and get clear on the terms I’ll be using. Second, I’ll briefly review the kinds of AI programs on offer today, identifying which research program I think provides the best candidate for machine consciousness. Lastly, I’ll consider the three most plausible ways of knowing whether a machine is conscious: (1) an (...)
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  20. Protecting Future Generations by Enhancing Current Generations.Parker Crutchfield - 2023 - In Fabrice Jotterand & Marcello Ienca (eds.), The Routledge Handbook of the Ethics of Human Enhancement. Routledge.
    It is plausible that current generations owe something to future generations. One possibility is that we have a duty to not harm them. Another possibility is that we have a duty to protect them. In either case, however, to satisfy the duties to future generations from environmental or political degradation, we need to engage in widespread collective action. But, as we are, we have a limited ability to do so, in part because we lack the self-discipline necessary for successful collective (...)
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  21. Ethical Allocation of Remdesivir.Parker Crutchfield, Tyler S. Gibb, Michael J. Redinger & William Fales - 2020 - American Journal of Bioethics 20 (7):84-86.
    As the federal government distributed remdesivir to some of the states COVID-19 hit hardest, policymakers scrambled to develop criteria to allocate the drug to their hospitals. Our state, Michigan, was among those states to receive an initial quantity of the drug from the U.S. government. The disparities in burden of disease in Michigan are striking. Detroit has a death rate more than three times the state average. Our recommendation to the state was that it should prioritize the communities that bear (...)
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  22. 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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  23. 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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  24. Observed Altruism of Dental Students: An Experiment Using the Ultimatum Game.Parker Crutchfield, Justin Jarvis & Terry Olson - 2017 - Journal of Dental Education 81 (11):1301-1308.
    PURPOSE: The conventional wisdom in dental and medical education is that dental and medical students experience "ethical erosion" over the duration of dental and medical school. There is some evidence for this claim, but in the case of dental education this evidence consists entirely of survey research, which doesn't measure behavior. The purpose of this study was to measure the altruistic behavior of dental students, in order to fill the significant gap in knowledge of how students are disposed to behave, (...)
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  25. Cross-modal Influence on Oral Size Perception.Parker Crutchfield, Connor Mahoney, Cesar Rivera & Vanessa Pazdernik - 2016 - Archives of Oral Biology 61:89-97.
    Objective: Evidence suggests people experience an oral size illusion and commonly perceive oral size inaccurately; however, the nature of the illusion remains unclear. The objectives of the present study were to confirm the presence of an oral size illusion, determine the magnitude (amount) and direction (underestimation or overestimation) of the illusion, and determine whether immediately prior crossmodal perceptual experiences affected the magnitude and direction. Design: Participants (N = 27) orally assessed 9 sizes of stainless steel spheres (1/16 in to 1/2 (...)
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  26. The Ethics of Anti-aging Clinical Trials.Parker Crutchfield - 2018 - Science and Engineering Ethics 24 (2):441-453.
    Interventions aiming to slow, stop, or reverse the aging process are starting to enter clinical trials. Though this line of research is nascent, it has the potential to not only prevent prolonged human suffering, but also to extend human well-being. As this line of research develops, it is important to understand the ethical constraints of conducting such research. This paper discusses some of these constraints. In particular, it discusses the ethical difficulties of conducting this research in a way that would (...)
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  27. Reconsidering Ordinary Language Philosophy: Malcolm’s (Moore’s) Ordinary Language Argument.Sally Parker-Ryan - 2010 - Essays in Philosophy 11 (2):123-149.
    The ‘Ordinary Language’ philosophy of the early 20th century is widely thought to have failed. It is identified with the broader so-called ‘linguistic turn’, a common criticism of which is captured by Devitt and Sterelny (1999), who quip: “When the naturalistic philosopher points his finger at reality, the linguistic philosopher discusses the finger.” (p 280) The implication is that according to ‘linguistic’ philosophy, we are not to study reality or truth or morality etc, but the meaning of the words ‘reality’, (...)
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  28. Ignorance and Moral Judgment: Testing the Logical Priority of the Epistemic.Parker Crutchfield, Scott Scheall, Cristal Cardoso Sao Mateus, Hayley Dawn Brown & Mark Rzeszutek - forthcoming - Consciousness and Cognition.
    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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  29. Data models, representation and adequacy-for-purpose.Alisa Bokulich & Wendy Parker - 2021 - European Journal for Philosophy of Science 11 (1):1-26.
    We critically engage two traditional views of scientific data and outline a novel philosophical view that we call the pragmatic-representational view of data. On the PR view, data are representations that are the product of a process of inquiry, and they should be evaluated in terms of their adequacy or fitness for particular purposes. Some important implications of the PR view for data assessment, related to misrepresentation, context-sensitivity, and complementary use, are highlighted. The PR view provides insight into the common (...)
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  30. Societal Collapse and Intergenerational Disparities in Suffering.Parker Crutchfield - 2022 - Neuroethics 15 (3):1-12.
    The collapse of society is inevitable, even if it is in the distant future. When it collapses, it is likely to do so within the lifetimes of some people. These people will have matured in pre-collapse society, experience collapse, and then live the remainder of their lives in the post-collapse world. I argue that this group of people—the transitional generation—will be the worst off from societal collapse, far worse than subsequent generations. As the transitional generation, they will suffer disparately. This (...)
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  31. Approaching Participation in the Divine Gift: Anselm of Canterbury’s Theology of the Holy Spirit.Parker Haratine - 2019 - Heythrop Journal 62 (4):729-742.
    This article seeks to constructively retrieve Anselm’s theology of the Holy Spirit by responding to a recent criticism of his doctrine of atonement. This criticism is called the question of efficacy and focuses particularly on how Anselm holds humanity to participate in and receive the divine gift of atonement. In short, this paper argues that the Spirit’s prevenient and subsequent grace allow for an individual to respond freely and in faith to Christ’s work, resulting in three individually necessary and jointly (...)
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  32. Extrapolating from Laboratory Behavioral Research on Nonhuman Primates Is Unjustified.Parker Crutchfield - 2020 - Journal of Applied Philosophy 37 (4):628-645.
    Conducting research on animals is supposed to be valuable because it provides information on how human mechanisms work. But for the use of animal models to be ethically justified, it must be epistemically justified. The inference from an observation about an animal model to a conclusion about humans must be warranted for the use of animals to be moral. When researchers infer from animals to humans, it’s an extrapolation. Often non-human primates are used as animal models in laboratory behavioral research. (...)
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  33. The Duty to Edit the Human Germline.Parker Crutchfield - 2022 - Res Publica 29 (3):347-365.
    Many people find the manipulation of the human germline—editing the DNA of sperm or egg cells such that these genetic changes are passed to the resulting offspring—to be morally impermissible. In this paper, I argue for the claim that editing the human germline is morally permissible. My argument starts with the claim that outcome uncertainty regarding the effects of germline editing shows that the duty to not harm cannot ground the prohibition of germline editing. Instead, if germline editing is wrong, (...)
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  34. Delusion, Proper Function, and Justification.Parker Crutchfield - 2020 - Neuroethics 14 (2):113-124.
    Among psychiatric conditions, delusions have received significant attention in the philosophical literature. This is partly due to the fact that many delusions are bizarre, and their contents interesting in and of themselves. But the disproportionate attention is also due to the notion that by studying what happens when perception, cognition, and belief go wrong, we can better understand what happens when these go right. In this paper, I attend to delusions for the second reason—by evaluating the epistemology of delusions, we (...)
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  35. Reading Wiredu, by Barry Hallen.Parker English - 2022 - Philosophia Africana 21 (1):45-55.
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  36. Issues in the theoretical foundations of climate science.Joel Katzav & Wendy S. Parker - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 63:141-149.
    The theoretical foundations of climate science have received little attention from philosophers thus far, despite a number of outstanding issues. We provide a brief, non-technical overview of several of these issues – related to theorizing about climates, climate change, internal variability and more – and attempt to make preliminary progress in addressing some of them. In doing so, we hope to open a new thread of discussion in the emerging area of philosophy of climate science, focused on theoretical foundations.
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  37. The future of climate modeling.Joel Katzav & Wendy S. Parker - 2015 - Climatic Change 132:475-487.
    Recently a number of scientists have proposed substantial changes to the practice of climate modeling, though they disagree over what those changes should be. We provide an overview and critical examination of three leading proposals: the unified approach, the hierarchy approach and the pluralist approach. The unified approach calls for an accelerated development of high-resolution models within a seamless prediction framework. The hierarchy approach calls for more attention to the development and systematic study of hierarchies of related models, with the (...)
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  38. La compétence de contextualisation au coeur de la situation d’enseignement-apprentissage.Laetitia Sauvage Luntadi & Frédéric Tupin - 2012 - Revue Phronesis 1 (1):102-117.
    The notion of «professional situation,» as we propose to examine it, entails questioning simultaneously the place of contexts and the role of actors in teaching-learning situations. We propose to examine the contextualization of the teaching process in light of the groups welcomed and the conditions in which the teacher’s profession is practiced. Defining contextualization as «an art of doing» in line with a professional competency thus means postulating the legitimacy of the «context(s)» as an explanatory medium or media. The conceptual (...)
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  39.  45
    The Sphere of Realization: The Mathematical Path of Harmonious Balance.Parker Emmerson - 2023 - Zenodo.
    From The Cone of Perception, volume one of my collected works, you will remember that one of the main topics in that work was V-Curvature, also called, "phenomenological velocity." In that work, although a solution to the v - curvature variable was provided as well as many graphs that yielded numerous jewels of spiral formulations in exquisite 3D color formations, that method by which the solution was found was not iterated. This chapter begins by showing how it is possible to (...)
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  40.  44
    Optimized Energy Numbers Continued.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1:12.
    In this paper, we explore the properties and optimization techniques related to polyhedral cones and energy numbers with a focus on the cone of positive semidefinite matrices and efficient computation strategies for kernels. In Part (a), we examine the polyhedral nature of the cone of positive semidefinite matrices, , establishing that it does not form a polyhedral cone for due to its infinite dimensional characteristics. In Part (b), we present an algorithm for efficiently computing the kernel function on-the-fly, leveraging a (...)
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  41.  42
    Formalizing Mechanical Analysis Using Sweeping Net Methods.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1:12.
    We present a formal mechanical analysis using sweeping net methods to approximate surfacing singularities of saddle maps. By constructing densified sweeping subnets for individual vertices and integrating them, we create a comprehensive approximation of singularities. This approach utilizes geometric concepts, analytical methods, and theorems that demonstrate the robustness and stability of the nets under perturbations. Through detailed proofs and visualizations, we provide a new perspective on singularities and their approximations in analytic geometry.
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  42.  39
    Cohesive Logic Vectors.Parker Emmerson - manuscript
    We have now mapped the set of analogies Ai,j to conceptual and mechanical meanings. This allows us to recognize how the Group Algebraic System G decomposes into five smaller subsystems, each of which relate to well-known symbolic systems. Furthermore, by recognizing the algorithmic transformations between these subsystems, we can apply each representing a single component of the Group Algebraic System G, or model how algorithms are used in mathematics, by mapping its meaning onto the corresponding transformation steps between the subsystems. (...)
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  43.  37
    Motivic Operators and M-Posit Transforms on Spinors.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1:34.
    Spinor theory and its applications are indispensable in many areas of theoretical physics, especially in quantum mechanics, general relativity, and string theory. Spinors are complex objects that transform under specific representations of the Lorentz or rotation groups, capturing the intrinsic spin properties of particles. Recent developments in mathematical abstraction have provided new insights and tools for exploring spinor dynamics, particularly through the lens of motivic operators and M-Posit transforms. This paper delves into the intricate dynamics of spinors subjected to motivic (...)
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  44.  35
    Analyzing the Zeros of the Riemann Zeta Function Using Set-Theoretic and Sweeping Net Methods.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1:15.
    The Riemann zeta function ζ(s) is a central object in number theory and complex analysis, defined for complex variables and intimately connected to the distribution of prime numbers through its zeros. The famous Riemann Hypothesis conjectures that all non-trivial zeros of the zeta function lie on the critical line Re(s) = 1 2 . In this paper, we explore the Riemann zeta function through the lens of set-theoretic and sweeping net methods, leveraging creative comparisons of specific sets to gain deeper (...)
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  45.  28
    Cone Formation from Circle Folding: A Comprehensive Analysis.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1:4.
    This paper explores the mathematical details behind the geometric transformation of folding a circle into a cone. It includes detailed theo- rems, proofs, and Python implementations for visualization, providing a thorough analysis of the transformation process.
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  46.  22
    The Cone of Perception.Parker Emmerson - 2010
    I write this introduction with much work already completed in this 4th Edition of The Cone of Perception, primarily to frame the work and touch on what might be missing from it. Namely → though it is hardly lacking these, I’d like to add a few insights about the content of the work and its relevance to the subject and future technology. Why is this work still relevant? How can you use it in your work/subject/area/field, and how am I supposed (...)
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  47. (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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  48. 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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  49.  26
    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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    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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