Let $V_\propto$ be a fixed, fully effective, infinite dimensional vector space. Let $\mathscr{L}(V_\propto)$ be the lattice consisting of the recursively enumerable (r.e.) subspaces of $V_\propto$ , under the operations of intersection and weak sum (see § 1 for precise definitions). In this article we examine the algebraic properties of $\mathscr{L}(V_\propto)$ . Early research on recursively enumerable algebraic structures was done by Rabin [14], Frolich and Shepherdson [5], Dekker [3], Hamilton [7], and Guhl [6]. Our results are based upon the more (...) recent work concerning vector spaces of Metakides and Nerode [12], Crossley and Nerode [2], Remmel [15], [16], and Kalantari [8]. In the main theorem below, we extend a result of Lachlan from the lattice E of r.e. sets to $\mathscr{L}(V_\propto)$ . We define hyperhypersimple vector spaces, discuss some of their properties and show if $A, B \in \mathscr{L}(V_\propto)$ , and A is a hyperhypersimple subspace of B then there is a recursive space C such that A + C = B. It will be proven that if $V \in \mathscr{L}(V_\propto)$ and the lattice of superspaces of V is a complemented modular lattice then V is hyperhypersimple. The final section contains a summary of related results concerning maximality and simplicity. (shrink)

We study topological constructions in the recursion theoretic framework of the lattice of recursively enumerable open subsets of a topological space X. Various constructions produce complemented recursively enumerable open sets with additional recursion theoretic properties, as well as noncomplemented open sets. In contrast to techniques in classical topology, we construct a disjoint recursively enumerable collection of basic open sets which cannot be extended to a recursively enumerable disjoint collection of basic open sets whose union is dense in X.

This book is the most comprehensive treatment available of one of the most urgent - and yet in some respects most neglected - problems in bioethics: decision-making for incompetents. Part I develops a general theory for making treatment and care decisions for patients who are not competent to decide for themselves. It provides an in-depth analysis of competence, articulates and defends a coherent set of principles to specify suitable surrogate decisionmakers and to guide their choices, examines the value of advance (...) directives, and investigates the role that considerations of cost ought to play in decisions concerning incompetents. Part II applies this theoretical framework to the distinctive problems of three important classes of individuals, many of whom are incompetent: minors, the elderly and psychiatric patients. The authors' approach combines a probing analysis of fundamental issues in ethical theory with a sensitive awareness of the concrete realities of health care institutions and the highly personal and individual character of difficult practical problems. Its broad scope will appeal to health professionals, moral philosophers and lawyers alike. (shrink)

Critical study of Brahmasiddhi of Maṇḍanamiśra, classical treatise on Advaita ontology.

In 'Doing and Allowing', Samuel Scheffler argues that if a person sees herself as subject to norms of individual moral responsibility, then the content of her first-order substantive norms of individual moral responsibility must attribute greater responsibility to what one does than to what one could, but fails, to prevent. This paper is about how a morally responsible agent could deny the doctrine of doing and allowing, why an environmentalist should, and what this means for environmental ethical theory.

Barry Allen explores the concept of knowledge in Chinese thought over two millennia and compares the different philosophical imperatives that have driven Chinese and Western thought. Challenging the hyperspecialized epistemology of modern Western philosophy, he urges his readers toward an ethical appreciation of why knowledge is worth pursuing.

Preventive use of force may be defined as the initiation of military action in anticipation of harmful actions that are neither presently occurring nor imminent. This essay explores the permissibility of preventive war from a cosmopolitan normative perspective, one that recognizes the basic human rights of all persons, not just citizens of a particular country or countries. It argues that preventive war can only be justified if it is undertaken within an appropriate rule-governed, institutional framework that is designed to help (...) protect vulnerable countries against unjustified interventions while also avoiding unacceptable risks of the costs of inaction. The key to ensuring the fairness of rules governing the preventive use of force is accountability.This essay proposes a scheme that would make those promoting and those rejecting the preventive use of force more accountable. The proposal contains the following crucial features:States proposing preventive war are required to enter into a contract with a diverse body of states as a condition for authorization of their actions;Prior to taking preventive action, states must make an evidence-based case to the UN Security Council, and agree in advance to submit themselves to an evaluation by an impartial body after the preventive action occurred;Both proponents of action and those opposing it will be held accountable ex post for the accuracy of their prior statements and the proportionality of their actions;Sanctions will be imposed against intervening states or states that opposed preventive action, respectively, depending on the findings of the ex post evaluation.If preventive action were blocked in the Security Council, states seeking to engage in preventive action could then present their case in a different body–a coalition of democratic states–with its own ex post and ex ante accountability procedures. (shrink)

Judith Allen Shelly and Arlene B. Miller help and encourage nurses to resolve conflicts between their Christian beliefs and professional ethics.

Jesus was a teacher. That's not all he was, but he was surely that. This essay examines Jesus as a moral teacher who selectively retrieved the moral traditions of apocalypse, wisdom, and Torah. He taught as a seer, a sage, and a scribe. Through a ludicrously anachronistic thought experiment—convening a first-century tenure review committee—it will become clear that the apocalyptic tradition was preeminent in Jesus's teaching, giving shape to how he employed the wisdom and legal traditions. Although the decision about (...) Jesus's tenure is shown ultimately to rest in God's hands rather than any human office or institution, lessons are drawn from Jesus as a moral teacher for the vocation of all those who teach Christian ethics. (shrink)

The act of judging how matters stand was a subject of investigation for Husserl throughout his career. The recurrence of this theme in his work indicates the great importance which Husserlian phenomenology attributed to the task of uncovering the nature of judgment. Scholarly commentary on Husserl has, until now, lacked one of the essential elements for a complete account of Husserl on judgment, because there was no full-length investigation into the important theme of "vague judgment" in his writings. ;This dissertation (...) is a critical interpretation of Husserl's principle texts on vague judgment. In addition to using the general norms of scholarly analysis, it takes great care to understand Husserl from within the transcendental reduction, lest his statements be misinterpreted as paradoxes dissolving into incoherence. The dissertation also seeks to identify the relation of the elements of the description of vague judgment to the more fundamental principles of phenomenology: parts/whole, identity/difference, empty/filled, presence/absence. This investigation starts with Husserl's fullest treatment of categorical vagueness, from Formal and Transcendental Logic , and then considers the theme in Ideas I and Logical Investigations , with a consideration of the use which Husserl makes of this description to analyze cultural sediments in The Origin of Geometry . ;The study concludes that vague judging is an empty act in which from the whole which possesses an attribute there does not emerge that attribute as a distinct part to be then identified with its whole. Because of this failure to think articulatedly, the fact, even in its perceptual presence, is absent as it itself. This description also brings to light essential notes of vague judgment and its foundation, viz., time. Finally this dissertation shows that Husserl's description of vague judgment unfolded organically, without basic reversal, over the course of his life's work. (shrink)

Kant holds that the moral principle is a priori, not empirical. But consistently with this, important parts of Kantian ethics, including his formulations of the moral principle, depend on a rich and interesting empirical theory of human nature.

For this open issue of the _Etikk i Praksis: Nordic Journal of Applied Ethics_, we put together a broad mix of different articles tackling current important issues in the field.

As the year 2022 ends, we continue to face challenging issues and uncertainties about what should be the right approach to various ethical problems society face. In approaching these problems we reflect on our existing guiding values but also discover new ones. We then try to figure out how our actions and decisions could align with our well-considered judgments until we achieve some degree of reflective equilibrium.

White, Shelton, and Rivais (2018) identified a key development in the evolution of clinical ethics as a field and as a profession, namely, “identifying and instituting safeguards to assure professi...

This open issue of the Nordic Journal of Applied Ethics consists of four papers that discuss the topics covering vaccination, sustainability, development ethics research and family ethics. It also includes a book review.

This issue provides readers the opportunity to broaden understanding of methods used in applied ethics. We hope you will be inspired to decide on which method, or a combination of different ones, to use towards achieving reflective balance that can enhance understanding of all considerations relevant to deciding what should be done. Like tools, methods are used because they are well suited to the task we seek to accomplish.

This special issue of Etikk i Praksis – Nordic Journal of Applied Ethics features four articles that address a number of urgent ethical issues that arise in the COVID-19 pandemic.

The editorial introduces original articles, a commentary and book review.

Positive aesthetics holds that the natural environment, insofar as it is unaffected by man, has only positive aesthetic qualities and value-that virgin nature is essentially beautiful. In spite of the initial implausibility of this position, it is nonetheless suggested by many individuals who have given serious thought to the natural environment and to environmental philosophy. Certain attempts to defend theposition involve claiming either that it is not implausible because our appreciation of nature is not genuinely aesthetic, or that the position (...) is justified in virtue of man’s limited control and understanding of the natural world or in virtue of the natural world’s divine design and origin. Such attempts are inadequate; they neither justify the position nor explain its acceptance. In order to account for positive aesthetics,we must note the intimate connection between nature appreciation and the development of natural science. An understanding of the role of scientific knowledge in the aesthetic appreciation of nature not only sheds light on the acceptance of the positive aesthetics position, but also suggests a means by which to justify it. (shrink)

Medical science brings innovations in patient care at an astounding pace today - new chemotherapeutic agents, coated stents, and minimally invasive surgery are just few recent examples. For physicians, though, the specter of malpractice liability can overshadow the marvel of practicing in this era. Many physicians are working in a volatile liability environment; they face spiraling costs for malpractice insurance, have difficulties purchasing liability coverage at any price, and see record payouts in a growing number of claims against their colleagues. (...) The American Medical Association has declared that at least 20 states are currently in a malpractice “crisis,” with another 24 states showing early signs of an impending crisis.There have been two comparable periods of instability in the last thirty years, but these predecessor crises differ from the current one in important ways. First, while physicians mainly experienced dwindling options for obtaining coverage in the mid-1970s and exorbitant prices in the mid-1980s, the current crisis appears to have elements of both availability and affordability. (shrink)

This volume collects for the first time in a single volume all of Kant's writings on religion and rational theology. These works were written during a period of conflict between Kant and the Prussian authorities over his religious teachings. His final statement of religion was made after the death of King Frederick William II in 1797. The historical context and progression of this conflict are charted in the general introduction to the volume and in the translators' introductions to particular texts. (...) All the translations are new with the exception of The Conflict of the Faculties, where the translation has been revised and re-edited to conform to the guidelines of the Cambridge Edition. As is standard with all the volumes in this edition, there are copious linguistic and explanatory notes, and a glossary of key terms. (shrink)

As global governance institutions proliferate and become more powerful, their legitimacy is subject to ever sharper scrutiny. Yet what legitimacy means in this context and how it is to be ascertained are often unclear. In a previous paper in this journal, we offered a general account of the legitimacy of such institutions and a set of standards for determining when they are legitimate. In this paper we focus on the legitimacy of the UN Security Council as an institution for making (...) decisions concerning the use of military force across state borders. The context for this topic has changed over the last decade as a result of the ongoing development of the responsibility to protect (RtoP) doctrine and extensive discussions about it in the United Nations. Yet the mostly widely accepted proposals for RtoP still require Security Council authorization for forceful intervention, and strictly limit the conditions under which such intervention may take place. (shrink)

Intuitively, there is an intimate connection between being coloured and looking coloured. As Strawson memorably remarked, it is natural to assume that ‘colours are visibilia or they are nothing’. But what exactly is the nature of this relationship?A traditionally popular view of the relationship between being coloured and looking coloured starts from the common place that the character of our perceptual experience changes as the conditions in which an object is perceived vary. For instance, our experience changes when we view (...) an object under different illuminants, as when we move from artificial illumination indoors to natural daylight outside. It changes under one and the same illuminant, depending on whether the object is directly or indirectly illuminated. And it varies independently of this, as the background against which the object is perceived varies. Placing a lot of weight on the idea that objects look or appear different as the perceptual conditions vary, proponents of this approach suggest that we can understand what it is for something to be coloured in terms of what it is for something to look coloured in specific perceptual conditions. (shrink)