In the present paper we show that any at most countable linearly-ordered commutative residuated lattice can be embedded into a commutative residuated lattice on the real unit interval [0, 1]. We use this result to show that Esteva and Godo''s logic MTL is complete with respect to interpretations into commutative residuated lattices on [0, 1]. This solves an open problem raised in.

We generalize the notions of Girard algebras and MV-algebras by introducing rotation-invariant semigroups. Based on a geometrical characterization, we present five construction methods which result in rotation-invariant semigroups and in particular, Girard algebras and MV-algebras. We characterize divisibility of MV-algebras, and point out that integrality of Girard algebras follows from their other axioms.

Exploring teaching as an upper secondary school teacher through lived experience offers pedagogical insights that have been challenged over a period of 25 years, when neoliberal educational policies gradually transformed the conditions for teaching in Swedish schools. The article is grounded in the assumption that the teaching profession is complex and there are multiple tacit dimensions inherent in being and becoming a teacher. Several of these dimensions are captured by the notion of pedagogical tact and have to be learned through (...) practice. However, over the past few decades, the implementation of neoliberal policies in the Swedish education sector have changed the conditions for teaching, and created an area of tension between the teacher’s pedagogical alignment and the educational practices influenced by neoliberal values. The aim of the study is to describe how the author experienced these tensions, and what they meant for her becoming and being a teacher in three different pedagogical sites: a higher education preparatory program, a vocational preparatory program, and in adult education. The description is grounded in the lifeworld phenomenological approach and carried out through personal narrative. (shrink)

When people make decisions, they act in a way that is either automatic (“rote”), or more thoughtful (“reflective”). But do people notice when others are behaving in a rote way, and do they care? We examine the detection of rote behavior and its consequences in U.S. adults, focusing specifically on pedagogy and learning. We establish repetitiveness as a cue for rote behavior (Experiment 1), and find that rote people are seen as worse teachers (Experiment 2). We also find that the (...) more a person's feedback seems similar across groups (indicating greater rote-ness), the more negatively their teaching is evaluated (Experiment 3). A word-embedding analysis of an open-response task shows people naturally cluster rote and reflective teachers into different semantic categories (Experiment 4). We also show that repetitiveness can be decoupled from perceptions of rote-ness given contextual explanation (Experiment 5). Finally, we establish two additional cues to rote behavior that can be tied to quality of teaching (Experiment 6). These results empirically show that people detect and care about scripted behaviors in pedagogy, and suggest an important extension to formal frameworks of social reasoning. (shrink)

A new structure, called pseudo equality algebras, will be introduced. It has a constant and three connectives: a meet operation and two equivalences. A closure operator will be introduced in the class of pseudo equality algebras; we call the closed algebras equivalential. We show that equivalential pseudo equality algebras are term equivalent with pseudo BCK-meet-semilattices. As a by-product we obtain a general result, which is analogous to a result of Kabziński and Wroński: we provide an equational characterization for the equivalence (...) operations of pseudo BCK-meet-semilattices. Our result treats a much more general algebraic structure, namely, pseudo BCK-meet-semilattice instead of Heyting algebras, on the other hand, we also need to use the meet operation. Finally, we prove that the variety of pseudo equality algebras is a subtractive, 1-regular, arithmetical variety. (shrink)

For odd and for even involutive, commutative residuated chains a representation theorem is presented in this paper by means of direct systems of abelian o-groups equipped with further structure. This generalizes the corresponding result of J. M. Dunnabout finite Sugihara monoids.

The problem of different types of thinking is situated on the limits of reflections of many disciplines - philosophy, anthropology and psychology. Each of them presents a different approach in trying to define thinking. It refers in the early formulations of the development of anthropology to the concept of the so-called “primeval mind” and attempts to determine the specificity of the operations it performs. This concept was rejected, but the problem of isolating certain characteristics of symbolic, mythological, figurative thinking or (...) “savage mind” remained. The conceptions associated with these notions indicate a set of common features, for example, the pars pro toto principle or associating objects on the basis of spatial tangency and many others. The aim of the research is to look at several such sets and to indicate their common ranges. (shrink)

Classification of certain group-like FL $_e$ -chains is given: We define absorbent-continuity of FL $_e$ -algebras, along with the notion of subreal chains, and classify absorbent-continuous, group-like FL $_e$ -algebras over subreal chains: The algebra is determined by its negative cone, and the negative cone can only be chosen from a certain subclass of BL-chains, namely, one with components which are either cancellative (that is, those components are negative cones of totally ordered Abelian groups) or two-element MV-algebras, and with no (...) two consecutive cancellative components. It is shown that the classification theorem does not hold if we drop the absorbent-continuity condition. Our result is the first classification theorem in the literature on FL $_e$ -algebras that does not assume the condition of being naturally ordered (which, under certain conditions, corresponds to continuity of the monoid operation). In our classification theorem, continuity is replaced by the much weaker absorbent-continuity. (shrink)

An algebraic proof is presented for the finite strong standard completeness of the Involutive Uninorm Logic with Fixed Point ($${{\mathbf {IUL}}^{fp}}$$ IUL fp ). It may provide a first step towards settling the standard completeness problem for the Involutive Uninorm Logic ($${\mathbf {IUL}}$$ IUL, posed in G. Metcalfe, F. Montagna. (J Symb Log 72:834–864, 2007)) in an algebraic manner. The result is proved via an embedding theorem which is based on the structural description of the class of odd involutive FL$$_e$$ (...) e -chains which have finitely many positive idempotent elements. (shrink)

ABSTRACT A new algebraic construction -called rotation- is introduced in this paper which from any left-continuous triangular norm which has no zero divisors produces a left-continuous but not continuous triangular norm with strong induced negation. An infinite number of new families of such triangular norms can be constructed in this way which provides a huge spectrum of choice for e.g. logical and set theoretical connectives in non-classical logic and in fuzzy theory. On the other hand, the introduced construction brings us (...) closer to the understanding the structure of these connectives and the corresponding logics. From the application point of view, results of this paper can be especially useful in the field of non-classical logic, fuzzy sets, and fuzzy preference modeling. (shrink)

The Catholic Church – though in popular opinion it is sometimes treated as a stronghold of conservatism, traditionalism, suspicion of progress and novelty, it changed significantly in the second half of the 20th century and continues to change its attitudes, especially in terms of the use of social communication and attitude to the media mass. The Church’s growing openness to media relations and the use of a rich instrumentation of social communication has become one of the reasons for the growing (...) popularity of market orientation among the clergy and active believers, which opens opportunities for the development of the concept of a specific sectoral marketing formula of church marketing. In this article the authors search for the causes of the progressive phenomenon of the marketization of religion, present examples of the activities of the Polish Catholic church, inscribed in the church marketing trend, as well as define the negative consequences resulting from its dissemination. The applied research method is based on the literature analysis and case studies analysis. (shrink)

This volume brings the theories and methods of a range of disciplines to bear on the imaginative workings of the human mind. The distinguished contributors demonstrate their own imaginative flair in a fascinating and varied collection of essays about this most elusive and special human capacity.

In Soul of the Documentary, Ilona Hongisto stirs current thinking about documentary cinema by suggesting that the work of documentary films is not reducible to representing what already exists. By close-reading a diverse body of films - from The Last Bolshevik to Grey Gardens - Hongisto shows how documentary cinema intervenes in the real by framing it and creatively contributes to its perpetual unfolding. The emphasis on framing brings new urgency to the doumentary tradition and its objectives, and provokes (...) significant novel possibilities for thinking about the documentary's ethical and political potentials in the contemporary world. -- Provided by publisher. (shrink)

Hahn’s embedding theorem asserts that linearly ordered abelian groups embed in some lexicographic product of real groups. Hahn’s theorem is generalized to a class of residuated semigroups in this paper, namely, to odd involutive commutative residuated chains which possess only finitely many idempotent elements. To this end, the partial lexicographic product construction is introduced to construct new odd involutive commutative residuated lattices from a pair of odd involutive commutative residuated lattices, and a representation theorem for odd involutive commutative residuated chains (...) which possess only finitely many idempotent elements, by means of linearly ordered abelian groups and the partial lexicographic product construction is presented. (shrink)

Let be the class of odd involutive even the notion of partial lex products is not sufficiently general. One more tweak is needed, a slightly even more complex construction, called partial sublex product, introduced here.

During the COVID-19 pandemic, global healthcare systems faced unprecedented challenges, with a lack of resources and suboptimal patient care emerging as primary concerns. Our research, using a comprehensive 24-item electronic questionnaire, “Reflections on the Provision of Healthcare during the COVID-19 Pandemic,” delved into the experiences of 938 physicians across the Czech Republic. Over fifty per cent observed a “lower standard of care” compared to pre-pandemic levels. A division arose among physicians regarding a decision’s medical, ethical, or legal basis, with a (...) notable gender disparity: male doctors leaned towards medical perspectives, whereas females accented the ethical perspective. Decision-making concerning health care limitations required agreement among the physicians on duty, interdisciplinary teams, or shift supervisors. Physicians reported varying degrees of patient or family participation in health care decisions. Variables such as age, pre-existing health conditions, and life expectancy influenced care decisions. Surprisingly, half of the physicians faced refusals of patients’ transportation to better-equipped facilities due to resource constraints. One-third of physicians never discuss the decision about care limitation and other options with patients or their families. As a result, almost fifty per cent of the physicians rarely or never imparted information about care limitations to patients. The survey shed light on the profound ethical dilemmas hospital physicians face across different types of healthcare facilities during the pandemic. It uncovered the need for open dialogue and scholarly debate on resource allocation and strengthening the role of patients and their families in care decisions in future healthcare crises. (shrink)

A new structure, called equality algebras, will be introduced. It has two connectives, a meet operation and an equivalence, and a constant. A closure operator will be defined in the class of equality algebras, and we call the closed algebras equivalential. We show that equivalential equality algebras are term equivalent with BCK-algebras with meet. As a by-product, we obtain a quite general result, which is analogous to a result of Kabziński and Wroński: we provide an equational characterization for the equivalential (...) fragment of BCK-algebras with meet. (shrink)

Models of the explore–exploit problem have explained how children's decision making is weighed by a bias for information (directed exploration), randomness, and generalization. These behaviors are often tested in domains where a choice to explore (or exploit) is guaranteed to reveal an outcome. An often overlooked but critical component of the assessment of explore–exploit decisions lies in the expected success of taking actions in the first place—and, crucially, how such decisions might be carried out when learning from others. Here, we (...) examine how children consider an informal teacher's beliefs about the child's competence when deciding how difficult a task they want to pursue. We present a simple model of this problem that predicts that while learners should follow the recommendation of an accurate teacher, they should exploit easier games when a teacher overestimates their abilities, and explore harder games when she underestimates them. We tested these predictions in two experiments with adults (Experiment 1) and 6- to 8-year-old children (Experiment 2). In our task, participants' performance on a picture-matching game was either overestimated, underestimated, or accurately represented by a confederate (the “Teacher”), who then presented three new matching games of varying assessed difficulty (too easy, too hard, just right) at varying potential reward (low, medium, high). In line with our model's predictions, we found that both adults and children calibrated their choices to the teacher's representation of their competence. That is, to maximize expected reward, when she underestimated them, participants chose games the teacher evaluated as being too hard for them; when she overestimated them, they chose games she evaluated as being too easy; and when she was accurate, they chose games she assessed as being just right. This work provides insight into the early-emerging ability to calibrate explore–exploit decisions to others' knowledge when learning in informal pedagogical contexts. (shrink)

BackgroundThe significant increase of digital collaboration, driven by the current COVID-19 pandemic, is resulting in changes in working conditions and associated changes in the stress-strain perception of employees. Due to the evident leadership influence on employees' health and well-being in traditional work settings, there is a need to investigate leadership in virtual remote work contexts as well. The objective of this scoping review was to assess the extent and type of evidence concerning virtual leadership in relation to employees' mental health, (...) job satisfaction and perceptions of isolation.MethodA search was undertaken in five databases, PubMed, Cochrane Library, PsycINFO, PSYNDEX and Web of Science, as well as reference lists of included articles on 9th February 2021 and an update on 28th September 2021. The search strategy was limited to English, German and French language, peer reviewed journal articles published from January 2000 onwards. This scoping review was conducted in accordance with the JBI methodology for scoping reviews. The methodological quality of the included studies was assessed using the JBI critical appraisal tools. A narrative synthesis was conducted.ResultsNineteen studies met the eligibility criteria for this review. Overarching review findings suggested a positive link between virtual leadership and well-being, job satisfaction, and a negative link to psychological strain, stress and perceptions of isolation of digitally collaborating employees.ConclusionsBy mapping the available evidence on virtual leadership in relation to health and work-related employee outcomes, the review identified many research gaps in terms of content and methodology. Due to limited data, causal relationships were not derived. Future research is needed to examine the complex cause-and-effect relationships of virtual leadership in more detail. (shrink)

This paper is the continuation of [11] where the rotation construction of left-continuous triangular norms was presented. Here the class of triangular subnorms and a second construction, called rotation-annihilation, are introduced: Let T1 be a left-continuous triangular norm. If T1 has no zero divisors then let T2 be a left-continuous rotation invariant t-subnorm. If T1 has zero divisors then let T2 be a left-continuous rotation invariant triangular norm. From each such pair the rotation-annihilation construction produces a left-continuous triangular norm with (...) strong induced negation. An infinite number of new families of such triangular norms can be constructed in this way, and this further extends our spectrum of choice for the proper triangular norm e.g. in probabilistic metric spaces, or for logical and set theoretical connectives in non-classical logic, or e.g. in fuzzy sets theory and its applications. On the other hand, the introduced construction brings us closer to the understanding of the structure of these operations. (shrink)

This article based on a recent European study examines the subjective consequences of abuse against older women and their help seeking behavior. In 2010, survey data concerning experiences of abuse in domestic settings were collected from 2,880 older women across five European countries (Austria, Belgium, Finland, Lithuania, and Portugal). The results of the study indicated that overall 30.1% of older women reported at least one experience of abuse in the past year. Less than half of the victims talked about it (...) in the informal setting or reported it to any formal agency. An ecological framework is used to explain factors influencing women’s decisions to seek help. Some consequences of abuse (anger, tension, sleeping difficulties, and concentration difficulties), type of abuse (physical abuse and violation of personal rights), higher abuse intensity, and density are connected with positive help seeking behaviours. Victims abused by current partners or a spouse were more passive to seek help. (shrink)

In January 2010 the Director General of the World Health Organization called for an “informal consultation on the future of financing for WHO” and in her opening remarks expressed the need to make the WHO fit for purpose given the unique health challenges of the 21st century.Margaret Chan referred to the constitutional role that WHO has to “act as the directing and co-ordinating authority on international health work” and stated clearly that global health leadership today and for the future must (...) be earned through strategic and selective engagement. She said, “WHO can no longer aim to direct and coordinate all of the activities and policies in multiple sectors that influence public health today.” This is a clear challenge that she has put to the global health community in recognition that WHO’s role must be clarified in the face of major change. (shrink)

Introduction Deep brain stimulation (DBS) is approved under a humanitarian device exemption to manage treatment-resistant obsessive-compulsive disorder (TR-OCD) in adults. It is possible that DBS may be trialed or used clinically off-label in children and adolescents with TR-OCD in the future. DBS is already used to manage treatment-resistant childhood dystonia. Evidence suggests it is a safe and effective intervention for certain types of dystonia. Important questions remain unanswered about the use of DBS in children and adolescents with TR-OCD, including whether (...) mental health clinicians would refer pediatric patients for DBS, and who would be a good candidate for DBS.Objectives To explore mental health clinicians’ views on what clinical and psychosocial factors they would consider when determining which children with OCD would be good DBS candidates.Materials and Methods In depth, semi-structured interviews were conducted with n = 25 mental health clinicians who treat pediatric patients with OCD. The interviews were transcribed, coded, and analyzed using thematic content analysis. Three questions focused on key, clinical, and psychosocial factors for assessing candidacy were analyzed to explore respondent views on candidacy factors. Our analysis details nine overarching themes expressed by clinicians, namely the patient’s previous OCD treatment, OCD severity, motivation to commit to treatment, presence of comorbid conditions, family environment, education on DBS, quality of life, accessibility to treatment, and patient age and maturity.Conclusions Clinicians generally saw considering DBS treatment in youth as a last resort and only for very specific cases. DBS referral was predominantly viewed as acceptable for children with severe TR-OCD who have undertaken intensive, appropriate treatment without success, whose OCD has significantly reduced their quality of life, and who exhibit strong motivation to continue treatment given the right environment. Appropriate safeguards, eligibility criteria, and procedures should be discussed and identified before DBS for childhood TR-OCD becomes practice. (shrink)

In this article a case study of the phenomenon of “living on light” is presented. The interlocutor “Eva” shares her memories from the period when she did not eat material food. Actor-network theory (ANT) is adopted to analyse the interview. This methodological framework sheds light on the connections between interacting human and non-human entities and thus reveals their agency. The phase of living on light appears to Eva as part of her personal spiritual progress. At the same time, relations with (...) the family become ambivalent since Eva does not want to share her true spiritual devotion. Eva’s experiences are demonstrated and re-imagined by mapping them with ANT concepts such as “intermediary” and “centre of calculation”. Eva’s period of living on light is discussed in three different forms of processuality. Characteristic of both the phenomenon of living on light and of ANT reading is the renovative quality of the ongoing processuality. (shrink)

Shame has been found to promote both approach and withdrawal behaviours. Shame theories have not been able to explain how shame can promote such contrasting behaviours. In the present article, the authors provide an explanation for this. Shame was hypothesised to activate approach behaviours to restore the threatened self, and in situations when this is not possible or too risky, to activate withdrawal behaviours to protect the self from further damage. Five studies with different shame inductions and different dependent measures (...) confirmed our predictions. We therefore showed that different behavioural responses to shame can be understood in terms of restore and protect motives. Implications for theory and behavioural research on shame are discussed. (shrink)

Freud was interested in the problem of memory from the time of his very early works. The processes taking place in memory, imaging, remembering and forgetting images focused his attention and were one of the pillars of shaping his conception of the unconscious and mind as “the storehouse of total memory,” which in one of his works he compared to “the Eternal City of Rome”, which accumulate images-memories gathered throughout life. Shifts, changes, deformations, strong emotional components determine the specificity of (...) many processes of remembering and forgetting, a specific “coding” of information in the form of visual, acoustic and other images. Nowadays, there are indications of Freud’s views in various dimensions of scientific research on memory and the consciousness of the importance of these approaches in our culture and its discovery of the role of autobiographical memory. (shrink)