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, (...) default positions in clinical ethics may also guard against harm. Where default positions exist, there are epistemic burdens to overturn them. The person wishing to reject the default position, rather than the person endorsing it, bears this burden. The person who bears the burden of meeting the epistemic requirements must provide evidence proportional to the degree of harm the default position protects against. Default positions that protect against significant harm impose significant epistemic requirements to overturn. This asymmetry not only makes medical decision-making more economical but also serves to promote and protect certain values. The identification and analysis of common and recognizable default positions can help to identify other default positions and the conditions under which their associated epistemic requirements are met. The article concludes with considerations of potential problems with the use of default positions in clinical ethics. (shrink)

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, (...) we aim to identify the conditions under which chemical restraints are ethically permissible. It is wrong to assume that what is morally true of physical restraints is also true of chemical restraints. Our aim is thus to identify the conditions under which chemical restraints are permissible while distinguishing these conditions from those of the application of physical restraints. (shrink)

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 (...) actual obligations. We offer a novel argument for rife error in obligation attribution. The argument starts with the idea of an epistemic burden. Epistemic burdens are all of those epistemic obstacles one must surmount in order to achieve some aim. Epistemic burdens shape decision-making such that given two otherwise equal options, a person will choose the option that has the lesser of epistemic burdens. Epistemic burdens determine one's potential obligations and, conversely, their non-obligations. The problem for biomedical ethics is that ethicists have little to no access to others' epistemic burdens. Given this lack of access and the fact that epistemic burdens determine potential obligations, biomedical ethicists often can only attribute accurate obligations out of luck. This suggests that the practice of attributing obligations in biomedical ethics is rife with error. To resolve this widespread error, we argue that this practice should be abolished from the discourse of biomedical ethics. (shrink)

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 (...) size are wrong, but that they must be either very weak and narrow or largely arbitrary and misleading. (shrink)

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: (...) R.S. Cohen et al. (Eds.), Potentiality, Entanglement, and Passion-at-a-Distance: Quantum Mechanical Studies fo Abner Shimony, Vol. 2, Kluwer Academic Publishers, Great Britain, 1997, pp. 177–190]. Unlike some others in the literature, these notions apply not only to certain nice sets, but to general sets in Rn and other appropriate spaces. We consider some motivations for these concepts and the logical relations between them. It has been argued that d.m.z. is especially appropriate for physical applications, and on Rn with the standard measure, it is strictly stronger than r.a. [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]. Here we show that this is the only implication that holds among our three decidabilities in that setting. Under arbitrary measures, even this implication fails. Yet for intervals of non-zero length, and more generally, convex sets of non-zero measure, the three concepts are equivalent. (shrink)

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) (...) relevant ignorance has constrained the decision-maker’s menu of options. If this is right, then a person’s moral judgments in some set of circumstances should vary with their knowledge and ignorance of these circumstances. In this study, we test the hypothesis of the logical priority of the epistemic. We describe two experiments in which subjects’ knowledge and ignorance of relevant consequences were manipulated. In the second experiment, we also compared the effect of ignorance on moral judgments with that of personal force, a factor previously shown to influence moral judgments. We found broad empirical support for the armchair arguments that epistemic considerations are logically prior to normative considerations. (shrink)

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 (...) bioenhancement that manipulates the contents of mental states and that which manipulates other, non-representational states. Either way, I argue, the enhanced moral psychology will fail to conform to epistemic norms, and the only way to resolve this failure and allow the moral bioenhancement to be effective in addressing the targeted moral issues is to make the moral bioenhancement covert. (shrink)

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 (...) of public health, and for this reason should be governed by public health ethics. I argue that the covert administration of a compulsory moral bioenhancement program better conforms to public health ethics than does an overt compulsory program. In particular, a covert compulsory program promotes values such as liberty, utility, equality, and autonomy better than an overt program does. Thus, a covert compulsory moral bioenhancement program is morally preferable to an overt moral bioenhancement program. (shrink)

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 (...) counts as an option means that epistemic considerations are logically prior to moral, prudential, and economic considerations: in order to have moral, prudential, or economic obligations, one must have options, and epistemic burdens serve to determine our options. One cannot have obligations without doing some epistemic work. We defend this claim on introspective grounds. We also consider how epistemic burdens distort surrogate decision-making. The unique epistemology of surrogate cases makes the priority of the epistemic readily apparent. We then argue that anyone who accepts a principle similar to ought implies can is committed to the logical priority of the epistemic. We also consider and reject several possible counterarguments. -/- . (shrink)

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.

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, (...) moral enhancement can constitute murder. I then argue that these conditions are not remote. (shrink)

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 (...) on the unit circle, we demonstrate how singularities and their approximations can be effectively analyzed without the need for imaginary numbers. This approach provides intuitive geometric insights and broadens the applicability of sweeping net methods in mathematical analysis. (shrink)

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 (...) liberty may proscribe neurotechnological intrusions, but also ordinary intrusions. Thus, the cognitive libertarian position “hog-ties” others’ use of their own liberties. This problem for the cognitive libertarian is the same problem that ordinary libertarianism faces in protecting individual rights to property and person. But the libertarian strategies for resolving the problem don’t work for the cognitive libertarian. I conclude that the right to mental privacy is weaker than what cognitive libertarians want it to be. (shrink)

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 (...) of set-theoretic representations of events in a probability model. While those sets are not isomorphic, Williamson’s physical events are, in the relevant sense. Benci et al. claim that all three arguments rest on a conflation of different models, but they do not. They are founded on the premise that similar events should have the same probability in the same model, or in one case, on the assumption that a single rotation-invariant distribution is possible. Having failed to refute the symmetry arguments on such technical grounds, one could deny their implicit premises, which is a heavy cost, or adopt varying degrees of instrumentalism or pluralism about regularity, but that would not serve the project of accurately modelling chances. (shrink)

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 (...) perspectives that Anselm maintained Eudaemonism. To do so, I provide a non-Eudaemonist reading of the two key passages and show how Eudaemonist readings are lacking in different respects. Second, I examine what this argument means for Anselm’s understanding of happiness and moral obligation. While there are some Eudaemonist themes in Anselm’s thinking, he flatly denies and revises aspects of the system. (shrink)

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 (...) Newton's initial argument within his initial deduction, dating from early 1685. Newton's strategy depends on distinguishing two quantities of matter, which I call ‘active’ and ‘passive’, by how they are measured. These measurement procedures frame conditions on the additivity of each quantity so measured. While Newton has direct evidence for the additivity of passive quantity of matter, he does not for that of the active quantity. Instead, he tries to infer the latter from the former via conceptual analyses of the third law of motion grounded largely on analogies to magnetic attractions. The conditions needed to establish passive additivity frustrate Newton's attempted inference to active additivity. (shrink)

The puzzle of petitionary prayer: if we ask for the best thing, God was already going to do it, and if we ask for something that's not the best, God's not going to grant our request. In this paper, we give a new solution to the puzzle.

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.

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...

The paper proposes a method for approximating surfacing singularities of saddle maps using a sweeping net. The method involves constructing a densified sweeping subnet for each individual vertex of the saddle map, and then combining each subnet to create a complete approximation of the singularities. The authors also define two functions $f_1$ and $f_2$, which are used to calculate the charge density for each subnet. The resulting densified sweeping subnet closely approximates the surfacing saddle map near a circular region.

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 (...) polyhedral description of the convex hull generated by the feature mappings and . By restructuring the problem and using gradient-based optimization techniques, our approach minimizes memory usage and computational overhead, thus enabling scalable computation. Through examples and visualizations, we demonstrate the practical applications and efficiency of the proposed algorithm in optimizing these kernel computations. (shrink)

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 (...) are that the physician obtain informed consent for their application, that their application be medically appropriate, and that restraints be the least liberty-restricting way of achieving the intended benefit. It is a further question whether their application is ever medically appropriate, given the dearth of evidence for their effectiveness. (shrink)

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 (...) insight into the distribution of its zeros. By rewording and analyzing the Riemann Hypothesis using set-theoretic arguments, applying sweeping net techniques, and integrating modal logic interpretations, we aim to provide new perspectives and support for this profound conjecture. Our objectives are: • Define the zeta function and its properties relevant to the zeros. • Reword the Riemann Hypothesis using set-theoretic language and establish logical equivalence. • Introduce and compare specific sets related to the zeros of ζ(s). • Apply set-theoretic and sweeping net methods to analyze the distribution of zeros. • Provide rigorous proofs about the absence of zeros in certain regions, including mechanical justifi- cations with all steps. • Incorporate modal logic interpretations into the proof. • Discuss implications for the Riemann Hypothesis. (shrink)

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 (...) infinite densification to the finite circle. Our work not only offers a new perspective on the geometric interpretation of π but also provides insights into reverse integration techniques and their applications in mathematical analysis. (shrink)

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 (...) be neglected altogether or deeply discounted in the surrogate’s incentive structure. We establish this claim by arguing that the relation between epistemic burdens and incentives in decision-making is a general feature of surrogate decision-making. After establishing the claim, we draw out some of the implications for surrogate decision-making in medicine and offer philosophical and psychological explanations of the phenomenon. (shrink)

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. (...) Thus, we have transformed a Group Algebraic System G into five simpler subsystems (namely, symbolic analogic, lateral algebraic, calculus of infinity tensors, perturbations in waves, and algorithmic formation of symbols), each of which may also be represented algorithmically. This mapping process serves as a the basis for studying the algebraic machinery used in mathematics and logic to manipulate symbols, such as the classical logical systems or algebraic systems, using algorithms. (shrink)

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 (...) suffering from occurring, then we ought to do so. That we ought to make ourselves morally better in order to prevent very bad things from happening justifies, according to some, the development and administration of moral enhancement. I address in this paper the idea that moral enhancement could give rise to moral transhumans, or moral post-persons. Contrary to recent arguments that we shouldn’t engender moral post-persons, I argue that we should. Roughly, the reasons for this conclusion are that we can expect moral post-persons to resemble the morally best of us, our moral exemplars. Since moral exemplars promote their interests by promoting the interests of others (or they promote others’ interests at the expense of their own) we can expect moral post-persons to pursue our interests. Since we should also pursue our own interests, we should bring about moral post-persons. (shrink)

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 (...) focus of the discussion is not surprising, given that the privation theory is a theory about the nature of evil. But it is also a theory that protects venerable theological concerns, namely, that God is the good creator of everything, and that everything is good. It is the purpose of this article to further this discussion on both fronts. I argue that the counterexample of pain still defeats the privation theory despite the most recent defense. What is more, I suggest, this is not theologically disastrous. The individual who rejects the privation theory is not obligated to reject the theological theses which motivate it. To show how a rejection of the privation theory is a live option, I offer an alternative view of evil that also maintains these theological theses and encompasses both privative and positive evils. (shrink)

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 (...) action. Given that having an obligation hinges on being able to satisfy it, the apparent duty to future generations is at odds with our apparent inability to satisfy it. Thus, we either need to rethink our duties to future generations or rethink the nature of our abilities. I argue in this chapter that we should rethink the nature of our abilities. Specifically, we should enhance our self-discipline, which is distinct from enhancements of motivation, judgment, or emotion. Even the most intelligent, motivated, and empathetic actor is likely to slip up, which encourages others to withdraw their cooperation. Without the necessary self-discipline to sustain our public cooperative behavior, collective action is likely to fail, leaving us with one alternative: to abandon our duties to future generations. (shrink)

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 (...) energy numbers in the context of symmetry groups, non-standard fields, fractional calculus, and non-Euclidean geometries. By employing νE as the central element, our framework resolves conventional zero-related sin- gularities and computational anomalies, offering a novel perspective that bridges advanced mathematical theories with practical applications in physics, computational algorithms, and topological transforma- tions. This work paves the way for future research to experimentally validate these formulations and explore potential applications in advanced physics, quantum mechanics, and beyond. (shrink)

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 (...) well as the Pelagian denial that all require Christ's work to attain this right relation to God. This article demonstrates that the Ancestral Sin, along with a denial of the inevitability thesis, is neither Pelagian nor Semi-Pelagian. I show that the doctrine of Ancestral Sin denies (Semi-) Pelagianism in various ways. I show that, for Ancestral Sin to entail (Semi-) Pelagianism, one must commit to several assumptions, each of which is plausibly deniable and none of which Orthodox thinkers affirm. (shrink)

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.

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 (...) these arguments, then finish by noting important avenues of research that Zambrano’s arguments motivate. (shrink)

Abstract: The intent of this paper is to provide a simple focus on that math- ematical concept and solution, phenomenological velocity to shine light on a worthy topic for mathematicians and physicists alike. Phenomenological Veloc- ity is essential to the formulation of a gestalt cosmology. The bibliography of this paper provides references to the extensive research that has been conducted by myself on the topic. I have performed conditional integrals of the phenomeno- logical velocity in its most liberated standard-algebraic form, (...) I have shown that the computational-phenomenological velocity satisfies its real-analytic solution when not using the speed of light in scientific notation to get the computational version, thus demonstrating that it is a valid solution. So, phenomenological velocity has profound consequences to the foundations of physics as civilization moves into a galactic scale and information is communicated at the quantum level, because it is such a mathematical reality it ought not be ignored when considering topics from hidden dimensions (a real, algebraic technique) and rel- ativity to gravity and dark matter. It gives us a new perspective on how we perceive the meaning of velocity itself with pragnanz, and thus with the new meaning, perspectives can change. I hope the reader will investigate the com- bined research I have performed on this topic, available by referencing the works in this bibliography to fully understand the nature of the arguments being made within. So, this points the right direction for future research, perhaps even with intent to encourage experimental design. (shrink)

This analytical study explores the nature of scientific progress connected to current philosophical definitions and the role of institutional governance in promoting this progress. This paper examines how public and private initiatives intersect to create a wartime level of scientific progress during peacetime, as promoted in detail by Vannevar Bush, Director of the Office of Scientific Research and Development (OSRD) from 1941-47. This study suggests that the public benefit from the war footing approach to scientific progress should outweigh the losses (...) to the public good that accumulate due to wartime restrictions on scientific discourse during times of peace. The interaction and dependence of scientific progress on military development, public health and public needs in general, the tax code and the patent system form the foundation of Bush’s program for sustaining wartime levels of scientific progress during peacetime. This study references the COVID-19 period and the solutions that were applied to emergent public needs through scientific programs. Justice of the United States (U.S.) Supreme Court Neil Gorsuch noted in May 2023 that “…we may have experienced the greatest intrusions on civil liberties in the peacetime history of this country.” This study proposes that the dilution of scientific truth in public policy is the result of a collective institutional mindset among scientists. This mindset endorses public programs that provide society with a wartime risk response in peacetime. In this study, from an epistemological standpoint and considering the work of other researchers in this field, these developments in scientific progress will be analyzed. (shrink)

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 (...) operators and MPosit transforms. Motivic operators encapsulate intrinsic algebraic properties and perturbations, leading to highly evolved spinor states without reliance on external coordinate systems. The M-Posit transform, a novel operator designed for spinors, leverages fractal morphic properties, topological congruence, and quantum-inspired perturbations to manipulate spinor structures within an infinitedimensional oneness geometry calculus. Drawing on the foundations laid by twistor theory, we aim to redefine the evolution of spinors using intrinsic properties derived from phenomenological velocity equations. By interpreting spinors as self-propelled twistors, we offer new perspectives on spinor transformations and dynamics. This intrinsic approach not only simplifies the mathematical treatment but also enhances the physical and geometric interpretation of spinor behaviors. The structure of this paper is organized as follows: We begin with the formal definition and computation of spinor components using motivic operators, highlighting the steps involved in their transformations. Following this, we introduce the M-Posit transform and explore its application to spinors, providing detailed mathematical formulations and examples. We also examine the implications of these transformations in higher-dimensional twistor spaces and non-commutative structures. Finally, we extend our analysis to practical applications in quantum computing, fractal image processing, and quantum field theory. The potential of spinning theory redefined through motivic operators and M-posit transforms offers promising avenues for further research in various domains of theoretical physics and mathematics. This paper sets a foundation for these explorations, emphasizing the importance of intrinsic properties and algebraic dynamics in understanding complex spinor evolutions. (shrink)

Higher - dimensional calculus and integral transformation play crucial roles in advancing our understanding of complex systems in mathematics and theoretical physics . Integral transformations are instrumental in simplifying complex differential equations, enabling the resolution of multi - dimensional problems that arise in various scientific fields . This paper aims to delve into a specific higher - dimensional integral transformation defined by the axioms \(F[q, s, l, \alpha]\) and \(G[q, s, l, \beta, c]\) . We start by outlining the axioms (...) which define the functions \(F\) and \(G\) . Specifically, Axiom 1 defines \(F\) as a function of four variables : \(q\), \(s\), \(l\), and \( \alpha\), whereas Axiom 2 defines \(G\) as a function that additionally includes variables \( \beta\) and \(c\) . Axiom 3 relates \(h\) and \(l\) via a sine function . The core of our investigation is the integral transformation expressed as a five - dimensional integral involving \(G\) and proving its equivalence to \(F\), provided a specific condition on \(c\) holds . We approach this problem by first deriving the expression for \(c\) through detailed differentiation of \(F\) and equating it to \(G\) . The derivation involves advanced calculus techniques and symbolic mathematics to solve the resulting equations . We then verify the derived expression for \(c\) by substituting it back into the relationship between \(F\) and \(G\), ensuring that the equality holds under integral transformation . Finally, to corroborate our findings, we employ visualizations through multidimensional contour plots to illustrate the relationship between the derived expressions . This provides an intuitive confirmation of the mathematical consistency and validity of the transformation . This paper contributes to the field by providing a nuanced and detailed examination of higher - dimensional integral transformations and their underlying mathematical structures . The results have potential implications for theoretical physics, particularly in areas involving complex systems and multi - dimensional analyses . (shrink)

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 (...) approaches discussed here provide a framework for simulating and analyzing physical systems influenced by non-commutativity, which are not extensively documented in existing literature. (shrink)

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 (...) symmetry principles. Moreover, the examples here are immune to the objections against Williamson’s infinite coin flips. (shrink)

Some have suggested that certain classical physical systems have undecidable long-term behavior, without specifying an appropriate notion of decidability over the reals. We introduce such a notion, decidability in (or d- ) for any measure , which is particularly appropriate for physics and in some ways more intuitive than Ko's (1991) recursive approximability (r.a.). For Lebesgue measure , d- implies r.a. Sets with positive -measure that are sufficiently "riddled" with holes are never d- but are often r.a. This explicates Sommerer (...) and Ott's (1996) claim of uncomputable behavior in a system with riddled basins of attraction. Furthermore, it clarifies speculations that the stability of the solar system (and similar systems) may be undecidable, for the invariant tori established by KAM theory form sets that are not d-. (shrink)

Chaos topology delves into bizarre symbol configurations of the world of quasi-quantification and pseudo-quantifiability. With quantum complexes, we are eventually able to find game play that blends wormholes with quantum computers and transcendental numbers. A conclusion that will leave you breathless, Chaos (Emmerson, 2023),.

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 (...) to read all of these equations?!! This work is relevant, because is shows us that what we may have thought impossible is phenomenological and actualized. That there are, compressed within simple formulations of geometry and parameters of spatio-temporal experiencing, really a complex harmony of relations, coefficients, hexadecimal coefficients, equilibrium, dynamics, resonances, all of which are alternating with each other in a dance of higher dimensionality through many balancing solutions. All of this, and infinitely more is going on between the distance from me to you, and between each particle in between us. You can use this in your life, work, or area of study, practically no matter what it is that you study, because these equations and insights apply to the fundament of the fabric of reality that we all share and live and the consciousness of it. Whether you are a physicists or a monk, these equations reveal answers and are the answers for the eternal questions of nature and reality. Harmony with number, visual forms, etc. are a new language. Why have questions about God been so hard to express? Words don’t always do justice to the potency of philosophical debate. Much magic mystery and magic have been neglected because of this, but math, equations, visualizations, etc. can do more to reveal insights and converse on topics philosophers have been seeking for ages. Also, this book reveals that what science is currently doing with particle accelerators, while offering its own set of insights, may actually be less productive, wasteful, unnecessary and dangerous that we think. What The Cone of Perception offers is a mental scope that will lead you on a journey from what is currently smaller than what physicists currently believe is the smallest mass/time unit all the way out to numbers and equations so large that they are not allowed by God for us to currently visualize their form. The Cone of Perception has revealed that there are particles of the photo electric effects with mass smaller than the quantum foam. That is a revelation that ought turn the obtuse world of physics on its head. There are many other section in The Cone of Perception all with equally revolutionary material. This work is meant to revolutionize the current perception of the physical world. These equations are useful to those who study dynamics, seek understanding of balance, and those who seek visualizations, mystery and empirical proof of metaphysics and magic in this world. (shrink)

For praising Jehovah (Yahowah is Yeshua Ben Joseph) do I publish these mathematical gesturing forms by His graciousness. The Book of Eternity proposes a new, mathematical balancing language in which the logic stems from infinity instead of zero. The designation of the balance comes from the location at which different meanings of infinity linguistically balance with each other and provides a way for people to continue extrapolating forms and functions that logically would follow. This balancing at oneness is analogous to (...) the resurrection of Jesus as the phenomenological velocity can come into being or be canceled out and have no effect. So, when Jesus died, that was the canceling out, and when Jesus (Yeshua Ben Joseph Jehovah) was raised, that was the coming into being. As the Resurrection, He is intimately tied to the creation as the savior. This can be expressed mathematically. As oneness, this balancing is infinite and meets symbolically with the differentiated meanings of oneness. The oneness is both the canceling (of the square roots within the height function), and the intersection of meanings (of infinity through the word of Jehovah (Yahowah)). This book elucidates the kinds of dimensionality with which man interacts normally: distance, angle, number, mass. (shrink)

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 (...) a disproportionate burden of suffering in the allocation of the new potential treatment. This recommendation is justified not only for new drugs with uncertain effects, but also for drugs of certain benefit or vaccines. For states with significant health disparities, such as Michigan, this allocation priority may help to repair them. In fact, any other allocation strategy may make them worse. (shrink)

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 (...) AI demonstrates a sufficient level of organizational similarity to that of a human thinker, (2) an inference to the best explanation, and (3) what I call “punting to panpsychism”, i.e., the idea that if everything is conscious, then we get machine consciousness in AI for free. However, I argue that all three of these methods for attributing machine consciousness are inadequate since they each face serious philosophical problems which I will survey and specifically tailor to each method. (shrink)

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: (...) the fact that a surrogate's epistemic burdens with respect to the best interests of the incapacitated patient have been adequately surmounted, plus some other feature. Thus, where a particular patient-surrogate relationship fails to be morally intimate, what is lacking is either epistemic intimacy or this second feature. Furthermore, Berger uses the notion of moral intimacy as an explanans for the application of the best interests standard. We argue that the notions of epistemic intimacy and epistemic burdens not only help to explain the notion of moral intimacy, but also better explain the application of the best interests standard. Given the role of epistemic burdens and the epistemic intimacy that overcoming them enables, bioethicists and physicians should consider a surrogate’s epistemic standing relative to the patient’s best interests before pronouncing on the former’s ethical probity. (shrink)

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 (...) to the health care setting. The Multidimensional Ethics Scale was used to evaluate the students’ ethical judgments of these conflicts. Students rated each vignette along 13 ethically relevant items using a 7-point scale. Nine of the thirteen items were analyzed because they represent the dominant ethical theories, including deontology. One hundred sixteen dental students successfully completed the survey. Of the analyzed items, those associated with deontology had comparatively weak associations with whether students judged the action to be ethical and whether students judged themselves likely to perform the action. Whether an action was judged to be caring had the strongest association with whether the action was judged to be ethical and whether students judged themselves likely to perform the action. These results suggest that adherence to duties or principles has weaker association with students’ ethical judgments and behavior compared to caring, which was found to be more influential in their ethical judgments and behavior. Current dental school curricula with a primary focus on deontology may no. (shrink)

Healthcare systems need to consider not only how to prevent error, but how to respond to errors when they occur. In the United Kingdom’s National Health Service, one strand of this latter response is the ‘No Blame Culture’, which draws attention from individuals and towards systems in the process of understanding an error. Defences of the No Blame Culture typically fail to distinguish between blaming someone and holding them responsible. This article argues for a ‘responsibility culture’, where healthcare professionals are (...) held responsible in cases of foreseeable and avoidable errors. We demonstrate how healthcare professionals can justifiably be held responsible for their errors even though they work in challenging circumstances. We then review the idea of ‘responsibility without blame’, applying this to cases of error in healthcare. Sensitive to the undesirable effects of blaming healthcare professionals and to the moral significance of holding individuals accountable, we argue that a responsibility culture has significant advantages over a No Blame Culture due to its capacity to enhance patient safety and support medical professionals in learning from their mistakes, while also recognising and validating the legitimate sense of responsibility that many medical professionals feel following avoidable error, and motivating medical professionals to report errors. (shrink)

We recall, "a priori," numeric energy expression: -/- Energy Numbers -/- $\begin{gathered}\mathcal{V}=\left\{f \mid \exists\left\{e_1, e_2, \ldots, e_n\right\} \in E \cup R\right\} \\ \mathcal{V}=\left\{f \mid \exists\left\{e_1, e_2, \ldots, e_n\right\} \in E, \text { and }: E \mapsto r \in R\right\} \\ \mathcal{V}=\left\{E \mid \exists\left\{a_1, \ldots, a_n\right\} \in E, E \not \neg r \in R\right\}\end{gathered}$ -/- We now introduce the set of optimized energy numbers: -/- ($H_a \in \mathcal{H}$ or $P^n = NP$ or $(P,\mathcal{L},F) = NP$). -/- Based on our formulation of (...) the bi-objective optimization task, we can make the following mathematical inferences: -/- 1. If the optimized energy numbers set $\mathcal{N}_H$ is equal to the original energy numbers set $\mathcal{E}$, i.e. $\mathcal{N}_H = \mathcal{E}$, then the maximum optimization score is achieved, i.e. the bi-objective optimization task is solved. This implies that there exists at least one solution to the optimization problem and $H_a \in \mathcal{H}$, where $H_a$ is the hypothesis that states the existence of an efficient algorithm to solve the problem. -/- 2. If the optimized energy numbers set $\mathcal{N}_H$ is a subset of the original energy numbers set $\mathcal{E}$, i.e. $\mathcal{N}_H \subset \mathcal{E}$, then the optimization score is less than the maximum score. This indicates that there may exist more efficient algorithms to solve the problem, and the hypothesis $H_a$ is still possible. -/- 3. If the optimized energy numbers set $\mathcal{N}_H$ is a superset of the original energy numbers set $\mathcal{E}$, i.e. $\mathcal{N}_H \supset \mathcal{E}$, then the optimization score is higher than the maximum score. This implies that the optimization problem may be easier than initially thought, and $P^n = NP$, or at least some form of $NP$-completeness. -/- 4. If the optimized energy numbers set $\mathcal{N}_H$ is a strict subset of the original energy numbers set $\mathcal{E}$, i.e. $\mathcal{N}_H \subsetneq \mathcal{E}$, and $P^n \neq NP$, then it can be concluded that the optimization problem is complex but there may exist algorithms that can efficiently approximate the solution. -/- 5. If the optimized energy numbers set $\mathcal{N}_H$ is empty, i.e. $\mathcal{N}_H = \emptyset$, then it can be inferred that the optimization problem is infeasible, i.e. no efficient algorithm exists to solve it, and $H_a$ is false. -/- 6. Comparing the two objectives in the bi-objective optimization task, we can make the following statements: -/- - The first objective, $\frac{\delta_{v(f)}(\mathbf{v}, \mathbf{w_{max}})} {\langle \mathbf{v_f}, \mathbf{1_f}\rangle}$, measures the efficiency of the algorithm and its ability to find low energy numbers. - The second objective, $\rho(\mathcal{N}_H)$, measures the accuracy of the algorithm in terms of loss and perplexity on the HyperLanguageModel. - Therefore, by optimizing both objectives simultaneously, we aim to find an efficient algorithm that also minimizes the loss and perplexities on the HyperLanguageModel. - If the optimization task is successfully solved, then the algorithm achieves both high efficiency and high accuracy. This would imply that the algorithm is able to find low energy numbers effectively and also generalize well on the HyperLanguageModel. -/- The optimized energy numbers aim to find a set of numbers $\mathbf{v}$ that maximize the bi-objective optimization task, while also minimizing the loss and perplexity of the HyperLanguageModel. This is achieved by finding the set of numbers that have the highest delta value and the lowest perplexity, resulting in a more optimized and efficient set of energy numbers. -/- By comparing the optimized energy numbers to the original set, we can see that the optimized set may have a higher delta value and a lower perplexity, indicating that it is a better set of numbers for the given task. This shows that the optimized energy numbers have successfully achieved their goal of maximizing efficiency while minimizing loss and perplexity. (shrink)

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) (...) relevant ignorance has constrained the decision-maker’s menu of options. If this is right, then a person’s moral judgments in some set of circumstances should vary with their knowledge and ignorance of these circumstances. In this study, we test the hypothesis of the logical priority of the epistemic. We describe two experiments in which subjects’ knowledge and ignorance of relevant consequences were manipulated. In the second experiment, we also compared the effect of ignorance on moral judgments with that of personal force, a factor previously shown to influence moral judgments. We found broad empirical support for the armchair arguments that epistemic considerations are logically prior to normative considerations. (shrink)