What I wish to propose in the present paper is a new form of “career induction” for ambitious young logicians. The basic problem is this: if we look at the n-variable fragments of relevant propositional logics, at what point does undecidability begin? Focus, to be definite, on the logic R. John Slaney showed that the 0-variable fragment of R (where we allow the sentential con- stants t and f) contains exactly 3088 non-equivalent propositions, and so is clearly decidable. In the (...) opposite direction, I claimed in my paper of 1984 that the five variable fragment of R is undecidable. The proof given there was sketchy (to put the matter charitably), and a close examination reveals that although the result claimed is true, the proof given is incorrect. In the present paper, I give a detailed and (I hope) correct proof that the four variable fragments of the principal relevant logics are undecidable. This leaves open the question of the decidability of the n-variable fragments for n = 1, 2, 3. At what point does undecidability set in? (shrink)

Distributive bounded lattices with a dual homomorphism as unary operation, called Ockham algebras, were firstly studied by Berman (1977). The varieties of Boolean algebras, De Morgan algebras, Kleene algebras and Stone algebras are some of the well known subvarieties of Ockham algebra. In this paper, new results about the congruence lattice of Ockham algebras are given. From these results and Urquhart's representation theorem for Ockham algebras a complete characterization of the subdirectly irreducible Ockham algebras is obtained. These results are (...) particularized for a large number of subvarieties of Ockham algebras. For these subvarieties a full description of their subdirectly irreducible algebras is given as well. (shrink)

The title of this and proposed second volume presents the basic idea which unifies the wide variety of topics developed and investigated by the principal authors, major contributing authors, J. M. Dunn and Robert K. Meyer, and eleven other contributors. The other contributors are: J. R. Chidgey, J. A. Coffa, Dorthy L. Grover, Bas van Fraassen, H. Leblanc, Storrs McCall, A. Parks, G. Pottinger, R. Routley, A. Urquhart, and R. G. Wolf. From both the useful analytic table of contents (...) and from the section titles it is clear which contributing author has written each section. Chapter I, "The Pure Calculus of Entailment," suggests how logics of entailment are logics of relevance and necessity. When we explain why a large number of systems are investigated, it will be clear why we write of logics of entailment instead of the logic of entailment. The principal authors build a case in Chapter I, and elsewhere, that a genuinely valid formal inference, viz., a formal entailment, from a formula A to a formula B requires that A be relevant to B in addition to it being impossible that there be an interpretation making A true and B false. So, a claim that A entails B tells us, explicitly or implicitly, that A is relevant to B and that "if A then B" is necessarily true, i.e., A strictly implies B. Consequently since a logic of entailment presents allegedly unfalsifiable claims, i.e., theses, using entailment claims, a logic of entailment presents theses about relevance between antecedents and consequents and necessity. It should be noted that the systems of logic developed are for formal entailments; they may not be logics for material entailments such as: being a cube entails having six surfaces. (shrink)

SummaryThe central thesis advocated by the author is that the so‐called hermeneutic method is actually the same as the hypothetico‐deductive method applied to materials that are “meaningful” . Five different interpretations of the role of the stranger in Ibsens “Peer Gynt” are discussed and shown to be examples of how interpretation‐hypotheses can be judged by confronting them with the data . The conclusion drawn from the analysis is this: there is no fundamental methodological difference between natural sciences and humanities.

Der Beschreibung der zeitlichen Entwicklung lebender Systeme kann eine reine Differentialanalyse nicht genügen. In solchen Fällen muss man sich an Stelle der gewöhnlichen Differentialgleichungen der integraldifferentiellen, bezw. der Integralgleichungen bedienen. Zur leichteren Veranschaulichung der mathematischen Darstellung betrachtet Verfasser zuerst diejenigen Systeme, deren innerer Zustand sich durch ein einziges Parameterc bestimmen lässt. Die zeitliche Entwicklung eines leblosen Systems dieser Klasse werde durch die Differentialgleichung $$\frac{{dc}}{{dt}} = kf...$$ dargestellt, wot=Zeit, undk eine Funktion der äusseren Parameterα, Β, γ. ist. Im Falle eines jeden (...) Systems sind die äusseren Parameterα, Β, γ. charakteristische individuelle Funktionen der Zeit. Misst manc am. Zeitpunktt, so lässt sich die Zukunft des Systems vermittelst der Gleichung berechnen, wenn die zukünftigen Werte der äusseren Parameter gegeben sind. Solche Systeme nennt Verfasser nicht-historische Systeme. Im Falle der lebenden Systeme werde die zeitliche Entwicklung durch die Integral-differentialgleichung $$\frac{{dc}}{{dt}} = k_1 f_1 + \mathop \smallint \limits_{t - \lambda }^t k_2 f_2 dt........$$ dargestellt, wof 1 undf 2 Funktionen des Zustandsparametersc, undk 1 undk 2 Funktionen der äusseren Parameter sind. Das Zeitintegral erstreckt sich auf das vergangene Zeitintervalt-λ →t, woλ einen positiven endlichen konstanten Wert besitzt. Diese Systeme nennt Verfasser historische Systeme. Setzt manH für das darin enthaltene Integralglied, so verwandelt sich die Gleichung in: $$\frac{{dc}}{{dt}} = k_1 f_1 + H..........$$ Misst man nunc am Zeitpunktt, so kann man in diesem Fall die Zukunft des Systems ohne Kenntnis des historischen GliedsH nicht berechnen. Das Vorkommen des historischen IntegralgliedsH nennt Verfasser Chronoholismus. Man kann deshalb die historischen Systeme auch chronoholistische Systeme nennen. Die biologische Interpretation dieser Betrachtungsweise wird vom Verfasser diskutiert, und die Gleichung auf Systeme mit erblichen Eigenschaften ausgedehnt. Es werden zuletzt Systeme mit vielen Zustandsparametern in gewissen einfachen Fällen kurz behandelt. L'analyse différentielle ne suffit pas, selon l'avis de de l'auteur, pour la description de l'évolution des systèmes vivants au cours des temps. Il faut utiliser dans ces cas les équations intégro-différentielles ou intégrales. Pour faciliter le traÎtement mathématique, on peut considérer d'abord les systèmes dont l'état intérieur est défini par un seul paramètrec. L'évolution d'un système inanimé de cette classe se laisse décrire par l'équation différentielle $$\frac{{dc}}{{dt}} = k f,...........$$ oùt=temps, etk est une fonction déterminée des paramètres extérieurs α,Β, γ. Si l'on connaÎtc à un temps donnét, l'état du système à un temps futurt′ se laisse prévoir au moyen de l'équation, quand les valeurs des paramètres extérieurs dans l'intervallet → t∼' sont fixées. L'auteur appelle les systèmes de cette classe des systèmes non-historiques. Pour les systèmes vivants, il faut se servir, selon l'avis de l'auteur, des équations intégro-différentielles. Pour les systèmes définis par un seul paramètrec, on peut se servir, par exemple, de l'équation $$\frac{{dc}}{{dt}} = k_1 f_1 + \mathop \smallint \limits_{t - \lambda }^t k_2 f_2 dt........$$ où k1 et k2 sont des fonctions déterminées des paramètres extérieurs. L'intégrale s'étend sur l'intervallet-λ→ t où λ est positif et constant. En indiquant le terme intégral par le symboleH, on peut écrire $$\frac{{dc}}{{dt}} = k_1 f_1 + H..........$$ La connaissance de c à un temps donnét ne laisse pas prévoir l'état du système à un temps futurt′ sans connaissance du terme historiqueH, quand mÊme les paramètres α, Β, γ,..., seraient des fonctions déterminées du temps dans l'intervallet→t′. L'auteur appelle l'existence du terme intégral historiqueH le chronoholisme. On peut appeler les systèmes de cette classe des systèmes historiques ou chronoholistiques. L'interprétation biologique de cette faÇon de traÎter les systèmes vivants est discutée par l'auteur, qui étend l'équation pour le faire représenter aussi les propriétés héréditaires des Êtres vivants. Quelques cas de systèmes dont l'état intérieur est défini par plusieurs paramètres et plusieurs phases sont traités brièvement. (shrink)

BackgroundAll hospital trusts in Norway have clinical ethics committees. Some of them invite next of kin/patients to be present during the discussion of their case. This study looks closer at how parents of seriously ill children have experienced being involved in CEC discussions.MethodsTen next of kin of six seriously ill children were interviewed. Their cases were discussed in two CECs between April of 2011 and March of 2014. The main ethical dilemma was limitation of life-prolonging treatment. Health care personnel who (...) could elucidate the case were also present in the discussion. The interviewer observed each discussion and then interviewed the next of kin shortly after the meeting, following a structured interview guide.ResultsAll next of kin emphasized that it had been important for them to be present. They stressed the important role of the CEC chair and appreciated that their case was discussed in a systematic way. Some next of kin appreciated that the child’s impending death was discussed openly, and believed that this would facilitate their future grieving. Having had an opportunity to hear all the arguments behind the decision to be made would probably help them to accept the road ahead.All of them felt that they were taken seriously and listened to. They felt that they had added vital information to the discussion. All but one couple did not want any decision-making responsibility, some of them even worried that they might have influenced the discussion too much.ConclusionsNone of the next of kin felt that being present during the CEC discussion had been too heavy a burden. On the contrary, they claimed that their presence in a CEC discussion may add vital information to the discussion and may improve the quality of the decision. It is important that the CEC’s role is explained to them so they are well prepared for what to expect. They need to be followed up after the discussion. (shrink)

Journal of Social Philosophy, Volume 52, Issue 4, Page 436-458, Winter 2021.

Federal political orders often exhibit a conflict between the ideals of equality and political autonomy, since individuals in different subunits often enjoy systematically different standards of living conditions. While federal arrangements may be theoretically attractive to avoid despotism, such federal inequality would appear to conflict with the principles of egalitarian cosmopolitanism. The paper argues that individuals' interest in equal shares of income and wealth may legitimately be weighed against their interest in political control enjoyed by their subunit, as long as (...) the inequalities do not engender misery, domination, or unfair procedures. The reasons for subunit autonomy include reducing the risk of domination, increasing the responsiveness to local preferences, and reducing the burdens of decision making. These arguments also suggest that states may not always be the appropriate subunits in legitimate federal orders. (shrink)

This response to a commentary on “Allocation of scarce resources, disability, and parity” considers whether a difference that would be morally relevant when choosing which of two people to save retains its relevance if this would affect other people’s chances of being saved.

What makes us human? Why do people think, feel and act as they do? What is the essence of human nature? What is the basic relationship between the individual and society? These questions have fascinated both great thinkers and ordinary humans for centuries. Now, at last, there is a solid basis for answering them, in the form of accumulated efforts and studies by thousands of psychology researchers. We no longer have to rely on navel-gazing and speculation to understand why people (...) are the way they are - we can instead turn to solid, objective findings. This book, by an eminent social psychologist at the peak of his career, not only summarizes what we know about people - it also offers a coherent, easy-to-understand, though radical, explanation. Turning conventional wisdom on its head, the author argues that culture shaped human evolution. Contrary to theories that depict the individual's relation to society as one of victimization, endless malleability, or just a square peg in a round hole, he proposes that the individual human being is designed by nature to be part of society. Moreover, he argues that we need to briefly set aside the endless study of cultural differences to look at what most cultures have in common - because that holds the key to human nature. Culture is in our genes, although cultural differences may not be. This core theme is further developed by a powerful tour through the main dimension of human psychology. What do people want? How do people think? How do emotions operate? How do people behave? And how do they interact with each other? The answers are often surprising, and along the way the author explains how human desire, thought, feeling, and action are connected. (shrink)

In this essay, I shall discuss ethical issues that arise with our increasing ability to affect the genetic makeup of the human population. These effects can be produced directly by altering the genotype , or indirectly by aborting, not conceiving, or treating individuals because of their genetic makeup in ways made possible by genetic pharmacology. I shall refer to all of these sorts of procedures collectively as the Procedures. Some of the ethical issues the Procedures raise are old, arising quite (...) generally when we can affect the well-being of people, even in the absence of the ability to affect them in the ways just described. My examination of these issues is prompted by the recent at-length discussion of them, From Chance to Choice , by Allen Buchanan, Dan Brock, Norman Daniels, and Daniel Wikler. (shrink)

This article describes a practical example of the predicate grue, examining the economic relationship between the percentage rate of unemployment and the percentage change of money wage rates known as the simple Phillips curve which exhibited regular behaviour before 1969 and erratic behaviour thereafter. It is proposed that such practical examples of grue from the real world be redescribed as regulatic. i.e. regular before time t and erratic thereafter. In the instance of a scientific model or theory being falsified it (...) is proposed to describe the predicate as tralse, i.e true before time t and false thereafter. The example to be discussed is a stronger example since entities in the real world started to behave in an extremely unpredictable fashion. (shrink)

Background Over the last years, there has been a growth in care solutions aiming to support home-dwelling persons with dementia. Assistive technology and voluntarism have emerged as supplements to traditional homecare and daycare centers. However, patient participation is often lacking in decision-making processes, undermining ethical principles and basic human rights. Research objective This study explores the perceptions of persons with dementia toward assistive technology, volunteer support, homecare services, and daycare centers. Research design A hermeneutical approach was chosen for this study, (...) using a semi-structured interview guide to allow for interviews in the form of open conversations. Participants and research context Twelve home-dwelling persons with dementia participated in the study. The participants were recruited through municipal daycare centers. Ethical considerations Interviews were facilitated within a safe environment, carefully conducted to safeguard the participants’ integrity. The Regional Committee for Medical and Health Research Ethics, Western Norway (Project number 2016/1630) approved the study. Findings The participants shared a well of reflections on experience and attitudes toward the aspects explored. They described assistive technology as possibly beneficial, but pointed to several non-beneficial side effects. Likewise, they were hesitant toward volunteer support, depending on how this might fit their individual preferences. Homecare services were perceived as a necessary means of care, its benefits ascribed to a variety of aspects. Similarly, the participants’ assessments of daycare centers relied on specific aspects, with high individual variety. Discussion and conclusion The study indicates that the margins between whether these specific care interventions were perceived as supportive or infringing may be small and details may have great effect on the persons’ everyday life. This indicates that patient participation in decision-making processes for this group is—in addition to be a judicial and ethical requirement—crucial to ensure adequate care and support. (shrink)

Plutarch, Aet. Graec. 5, p. 292 B: “Τνεσ ο παρ' ‘Αρκσι κα δακεδσιμονοισ χρηοτο;” δακεδαιμνιοι Τεγεταισ διαλλαγντεσ ποισαντο συνθκασ κα στλην π' 'αλΑειι κοινν νστησαν, ν ι μετ τν γγραπται Μεσσηνουσ κβαλεν κ τσ χρασ κα μ ξεναι χρηστοσ ποιεν. ξηγομενοσ ον 'αριστοτελησ τοτο πησι δυνασθαι το μ ποκτιννναι βοηθενασ χριν τοσ λακωνιζονσιν τν Τεγεατν.

The structure of ethics work in a hospital is complex. Professional ethics, research ethics and clinical ethics committees (CECs) are important parts of this structure, in addition to laws and national and institutional codes of ethics. In Norway all hospital trusts have a CEC, most of these discuss cases by means of a method which seeks to include relevant guidelines and laws into the discussion. In recent years many committees have received more cases which have concerned questions of principle. According (...) to Ellen Fox and co-authors the traditional CEC model suffers from a number of weaknesses. Therefore, in their organization a separate body deals with organizational matters. In this paper, we discuss what is gained and what is lost by creating two separate bodies doing ethics consultation. We do this through an analysis of detailed minutes of CEC discussions in one CEC during a 6-year period. 30 % of all referrals concerned matters of principle. Some of these discussions originated in a dilemma related to a particular patient. Most of the discussions had some consequences within the hospital organization, for clinical practice, for adjustment of guidelines, or may have influenced national policy. We conclude that a multiprofessional CEC with law and ethics competency and patient representation may be well suited also for discussion of general ethical principles. A CEC is a forum which can help bridge the gap between clinicians and management by increasing understanding for each others’ perspectives. (shrink)

The question of what subjects Paul addresses in his letters has been a matter of debate in New Testament scholarship. This debate shows the evolution of Pauline studies, whereby early scholars argued that Paul addressed topics ranging from questions of human existence, to relations between Jews and Gentiles, and even topics connecting Paul with the Roman Empire. Most of these scholars view Paul mainly from a religious perspective, particularly in terms of the relationship between Judaism and Christianity. However, viewing Paul (...) from a Jewish versus a Christian religious perspective only fails to present the multivalent function of the Pauline corpus. This article employs social identity theory to read Galatians 3:1–10 in order to defend the argument that Paul employs his letters to construct a superordinate identity for his community which embraces not only political perspectives but also has religious and economic trajectories.Contribution: The application of identification, contest and comparison, concepts derived from sociology, to analyze Galatians 3:1-10 in reference to 1st century economic, religious and political contexts to explain the multivalent nature of early Christian identity, contributes to multidisciplinary research aspects of Biblical studies which is in tandem with the scope of HTS Theological Journal. (shrink)

The topics covered in this volume, originally published in 1973, include the need for a more adequate concept or definition of education, the issue of whether indoctrination is compatible with education, particularly with moral education, and the processes of judging the merits of different approaches to aesthetic education. Two contributors present complementary analyses of the relations between freedom as a characteristic of institutions and the process of learning to be a free man. There is discussion of the neglected subject of (...) rights and duties in education, with special emphasis on the question of a universal right to education. The volume concludes with papers on the relevance of philosophy to the practical judgments of educators and to education as a field of study. (shrink)

Essay Review of two books of A.N. Maxwell, last of the Neo-Popperians: The Comprehensibility of the Universe (1998) and The Human World in the Physical Universe (2001).

Timothy Williamson, in various places, has put forward an argument that is supposed to show that denying bivalence is absurd. This paper is an examination of the logical force of this argument, which is found wanting.