We prove an Omitting Types Theorem for certain algebraizable extensions of first order logic without equality studied in [SAI 00] and [SAY 04]. This is done by proving a representation theorem preserving given countable sets of infinite meets for certain reducts of ?- dimensional polyadic algebras, the so-called G polyadic algebras (Theorem 5). Here G is a special subsemigroup of (?, ? o) that specifies the signature of the algebras in question. We state and prove an independence result connecting our (...) representation theorem to Martin's axiom (Theorem 6). Also we show that the countable atomic G polyadic algebras are completely representable (Corollary 16) contrasting results on cylindric algebras. Several related results are surveyed. (shrink)

In this work, we reconstruct the cosmological unified dark fluid model proposed previously by Elkhateeb (Astrophys Space Sci 363(1):7, 2018) in the framework of _f_(_R_) gravity. Utilizing the equivalence between the scalar-tensor theory and the _f_(_R_) gravity theory, the scalar field for the dark fluid is obtained, whence the _f_(_R_) function is extracted and its viability is discussed. The _f_(_R_) functions and the scalar field potentials have then been extracted in the early and late times of asymptotically de Sitter spacetime. (...) The ability of our function to describe early time inflation is also tested. The early time scalar field potential is used to derive the slow roll inflation parameters. Our results of the tensor-to-scalar ratio _r_ and the scalar spectral index \(n_s\) are in good agreement with results from Planck-2018 TT+TE+EE+lowE data for the model parameter \(n > 2\). (shrink)

Abstract: Background: In spite of the fact that computers continue to improve in speed and functions operation, they remain complex to use. Problems frequently happen, and it is hard to resolve or find solutions for them. This paper outlines the significance and feasibility of building a desktop PC problems diagnosis system. The system gathers problem symptoms from users’ desktops, rather than the user describes his/her problems to primary search engines. It automatically searches global databases of problem symptoms and solutions, and (...) also allows ordinary users to contribute exact problem reports in a structured manner. Objectives: The main goal of this Knowledge Based System is to get the suitable problem desktop PC symptoms and the correct way to solve the errors. Methods: In this paper the design of the proposed Knowledge Based System which was produced to help users of desktop PC in knowing many of the problems and error such as : Power supply problems, CPU errors, RAM dumping error, hard disk errors and bad sectors and suddenly restarting PC. The proposed Knowledge Based System presents an overview about desktop PC hardware errors are given, the cause of fault are outlined and the solution to the problems whenever possible is given out. CLIPS Knowledge Based System language was used for designing and implementing the proposed expert system. Results: The proposed PC desktop troubleshooting Knowledge Based System was evaluated by IT students and they were satisfied with its performance. (shrink)

Buildings energy consumption is growing gradually and put away around 40% of total energy use. Predicting heating and cooling loads of a building in the initial phase of the design to find out optimal solutions amongst different designs is very important, as ell as in the operating phase after the building has been finished for efficient energy. In this study, an artificial neural network model was designed and developed for predicting heating and cooling loads of a building based on a (...) dataset for building energy performance. The main factors for input variables are: relative compactness, roof area, overall height, surface area, glazing are a, wall area, glazing area distribution of a building, orientation, and the output variables: heating and cooling loads of the building. The dataset used for training are the data published in the literature for various 768 residential buildings. The model was trained and validated, most important factors affecting heating load and cooling load are identified, and the accuracy for the validation was 99.60%. (shrink)

The study aimed at measuring the dominant pattern of leadership and its relation to the performance of the administrative staff in the Palestinian universities. The study community consists of all the administrative staff from Al-Azhar University and the Islamic University, and through the census of the study society it was found to consist of (655) administrative staff. In order to achieve the objectives of the study, the researchers used the method of random sample in the study, and the study was (...) conducted on a sample of (221) administrative staff of the surveyed universities and the response rate was (82.35%). The study found that there is a high degree of satisfaction with the Dominant Pattern of Leadership in the Palestinian universities in Gaza Strip from the point of view of the administrative staff, which reached (71.67%). There is a high level of performance from the point of view of administrative staff, with a percentage of (82.53%). There is a direct correlation between the dominant pattern of leadership and the functional Performance of Administrative Staff, the absence of differences between the sample according to the gender variable in their perception of the dominant pattern of leadership and the functional Performance of Administrative Staff, the absence of differences in the perception of employees of the dominant pattern of leadership and the functional Performance of Administrative Staff depending on the age variable. There are differences of statistical significance according to the variable of scientific qualification in the Dominant Pattern of Leadership, while there were no differences in performance, the differences in the dominant pattern of leadership according to the scientific qualification were in favor of those who obtained the diploma degree compared to other practical qualifications, the absence of differences in the perception of employees of the dominant pattern of leadership and the functional Performance of Administrative Staff depending on the variable years of service, the absence of differences in the perception of employees of the dominant pattern of leadership and the functional Performance of Administrative Staff depending on the variable level of career (Director, Head of Department, and Administrative Officer). There were differences in the perception of workers to the dominant pattern of leadership depending on the variable of the workplace, where there were differences in favor of workers in deanships and colleges compared with the workers in the technical departments. While there were no differences in job performance according to the workplace variable, the existence of differences in the perception of workers to the dominant pattern of leadership depending on the university in which they work in favor of the Islamic University and the absence of differences in performance between the Islamic University and Al-Azhar University. The study reached a number of recommendations, the most important of which is that the interest of the managements of the Palestinian universities in improving the dominant pattern of leadership, to give universities the opportunity to participate in decision-making, the continued administration of universities interest and continuous improvement of the performance of its employees, enhance the periodic evaluation of job performance and to inform employees and express their opinion, solving workers' problems and giving them the opportunity to contribute to solving their own problems, the use of the staff rotation method periodically and strengthening the democratic the dominant pattern of leadership and empowering university staff. -/- . (shrink)

This paper explores contemporary Jewish identity-formation and the centrality of official Holocaust memory and Zionism – understood as the ongoing settler-colonial project aiming at the formation and maintenance of a Jewish-exclusivist state in Palestine – to this process. It argues that identity politics within the Jewish community are based on an understanding of identity, which assumes it to be static and individual. In doing so, this political approach reproduces the essentialisation of Jewish communities under the banner of Zionism and official (...) state history. The paper aims to show how this process of identification between Judaism, official Holocaust memory and Zionism has been a state-led process, rooted in the historical development of antisemitism and European colonialism. In order to do so, it builds on a critique of classical Marxist analyses of the Jewish question. It finally proposes a more fluid approach to identity, which understands it as socially constructed, contested, and subject to political contestation. (shrink)

AbstractIn many cultures, interactions between humans and plants are rooted in what is called “relational values”—values that derive from relationships and entail reciprocity. In Mexico, biocultural diversity is mirrored in the knowledge and use of some 6500 plant species and the domestication of over 250 Mesoamerican native crop species. This research explores how different sets of values are attributed to plants and how these influence management strategies to maintain plant resources in wild and anthropogenic environments. We ran workshops in two (...) communities in a highly biodiverse region in western Mexico, to ascertain the values and management activities related to important plant resources. The relationship between values attributed to plants and management activities was examined through redundancy analysis. A total of 180 plant resources were mentioned during the workshops, with a broad spectrum of values attributed to them, including material, non-material, and regulatory dimensions. We divided plant management strategies into three general categories of increasing intensity and complexity. We found that participants in the Indigenous community value and manage more wild plant resources than people in the non-Indigenous community. We also identified relationships between plant resource values and the type of management performed; for example, more intensive forms of management, such as sowing seeds, were used for seasonal plants that had a food value. By valuing and managing different sets of plant resources from forest, agricultural plots, and home gardens, people enabled multi-functional landscapes to form, illustrating a key feature of relational values in agroecosystems, which promotes both conservation and domestication of plants. (shrink)

Egypt currently holds the record for the most retractions in the continent of Africa according to the Retraction Watch database, and the 2 nd highest of countries in the Middle East. The purpose of this study was to analyse the retracted medical publications from Egyptian affiliations, in order to delineate specific problems and solutions. We examined databases including Pubmed, Google Scholar and others, for all retracted medical publications that were conducted in an Egyptian institution, up to the date of August (...) 31 st 2022. We observed for the reason(s) for retraction, number of citations of the retracted work, the length of time between publication and retraction, and where the work was published (journal, publisher and impact factor). 68 retractions were identified. Most retractions were from the speciality of Obstetrics and Gynecology (n = 22), followed by Anesthesia (n = 7). The top 3 reasons for retraction were unreliable results, FFP level misconduct, and duplicate publication. The number of retractions significantly increased over the years, especially in 2022. When taking into account the number of medical publications per institution, the institute with the highest rate of retractions was Mansoura University, while the lowest rate was Cairo University. The number of retracted medical Egyptian publications continues to increase over time, although they represent a small portion of the overall body of Egyptian medical research. Future studies on retracted articles should employ a methodology that considers the institutions where the studies were conducted. This could allow a better understanding of specific problems in certain countries or regions. (shrink)

The traditional view of cognition as detached from emotions is recently being questioned. This study aimed to investigate the influence of emotional valence on the accuracy and bias in the representation of numbers on the mental number line (MNL). The study included 164 participants who were randomly assigned into two groups with induced positive and negative emotional valence using matched arousal film clips. Participants performed a computerised number-to-position (CNP) task to estimate the position of numbers on a horizontal line. The (...) results showed that participants in the positive valence group exhibited a rightward bias, while those in the negative valence group showed an opposite pattern. The analysis of mean absolute error revealed that the negative valence group had higher error rates compared to the positive valence group. Furthermore, the MNL estimation pattern analysis indicated that a two-cycle cyclic power model (CPM) best explained the data for both groups. These findings suggest that emotional valence influences the spatial representation of numbers on the MNL and affects accuracy in numerical estimations. Our findings are finally discussed in terms of body-specificity and the Brain’s Asymmetric Frequency Tuning (BAFT) theories. The study provides new insights into the interplay between emotions and numerical cognition. (shrink)

Spiritual leadership has gained much traction among researchers and practitioners for its value-laden approach as it engenders feelings and expressions of a leader’s spirituality at the workplace by intrinsically motivating the followers to envision work as a calling, thereupon culminating in greater organizational performance. However, despite the significant attempts to consolidate the literature, organizational scholarly knowledge on spiritual leadership seems fragmented and incohesive. This is because the extant reviews pertaining to this field often employ subjective approaches in encapsulating the literature. (...) It is due to these limitations, leadership researchers might find it difficult to appreciate the advances made in the realm of spiritual leadership, to grasp a holistic understanding of its objective insights, and to chart a course for future research. Therefore, through our study, we aim to provide a comprehensive understanding of the past, present, and future of spiritual leadership research. This study combines a bibliometric analysis with a literature review wherein we analyzed 337 papers published between 1980 and 2021. First, through bibliographic coupling, citation analysis, prestige analysis, and co-word analysis of extant studies, we highlight the prominent authors, influential works, leading organizations, countries, and journals in the realm of spiritual leadership. Second, through our content analysis of the leading articles obtained from clustering, we map the emergent core themes in spiritual leadership literature. Third, based on these emergent themes, we offer a comprehensive conceptual framework. Finally, we determine and present potential avenues for future research by employing the TCCM framework that could stimulate scholarly research in this domain and discuss theoretical and managerial implications. (shrink)

This study investigates the association of a broad set of variables with the ethical decision making of management accountants in Libya. Adopting a cross-sectional methodology, a questionnaire including four different ethical scenarios was used to gather data from 229 participants. For each scenario, ethical decision making was examined in terms of the recognition, judgment and intention stages of Rest’s model. A significant relationship was found between ethical recognition and ethical judgment and also between ethical judgment and ethical intention, but ethical (...) recognition did not significantly predict ethical intention—thus providing support for Rest’s model. Organizational variables, age and educational level yielded few significant results. The lack of significance for codes of ethics might reflect their relative lack of development in Libya, in which case Libyan companies should pay attention to their content and how they are supported, especially in the light of the under-development of the accounting profession in Libya. Few significant results were also found for gender, but where they were found, males showed more ethical characteristics than females. This unusual result reinforces the dangers of gender stereotyping in business. Personal moral philosophy and moral intensity dimensions were generally found to be significant predictors of the three stages of ethical decision making studied. One implication of this is to give more attention to ethics in accounting education, making the connections between accounting practice and Islam. Overall, this study not only adds to the available empirical evidence on factors affecting ethical decision making, notably examining three stages of Rest’s model, but also offers rare insights into the ethical views of practising management accountants and provides a benchmark for future studies of ethical decision making in Muslim majority countries and other parts of the developing world. (shrink)

The market relationships are being contested. This can be seen in the increasing number of alternative social experiments in the ‘North’ and the ‘South’ which propose to think out the present market relationships in a different way, in particular in establishing exchange value and in facilitating access to trade. These practical alternatives are supported by trends in academic circles that over the past three decades have opposed neoliberal capitalism and individualism in today's commercialised society. Calling for greater solidarity and social (...) justice in economic relationships, in particular, partisans of social and solidarity economics, identifying with these trends, demand new forms of exchange. The objective of this article is to re-examine these demands. What exactly do the SSE mean by ‘solidarity’ and ‘solidarity-based economy'? We would like to trace the contours of this theoretical and political project and to assess the practicability of the proposed alternative to neoliberal capitalism. (shrink)

The present study examined how the pre-war debate of the US decision to invade Iraq (in March 2003) was discursively constructed in the US/British mainstream newspaper opinion/editorial (op/ed) argumentation. Drawing on theoretical insights from critical discourse analysis and argumentation theory, I problematised the fallacious discussion used in the pro-war op/eds to build up a ‘moral/legal case’ for war on Iraq based on adversarial (rather than dialogical) argumentation. The proponents of war deployed ‘instrumental rationality’ (ends-justify-means reasoning), ‘ethical necessity’ (Bush’s ‘Preemption Doctrine’) (...) and ‘humanitarian virtue’ (the bombing of Iraq to ‘save’ Iraqis from Saddam’s pestilent tyranny) to justify the pending invasion of Iraq. Their arguments intertextually resonated with Bush administration’s ‘war on terror’ rhetoric in a way that created a form of indexical association through ‘recontextualisation’. The type of arguments marshalled by the pro-war op/ed commentators uncritically bolstered the set of US official ‘truth claims’ and ‘presuppositions’. (shrink)

In recent years, scholars have sought to investigate the impact that ethical leaders can have within organisations. Yet, only a few theoretical perspectives have been adopted to explain how ethical leaders influence subordinate outcomes. This study therefore draws on social rules theory (SRT) to extend our understanding of the mechanisms linking ethical leadership to employee attitudes. We argue that ethical leaders reduce disengagement, which in turn promotes higher levels of job satisfaction and organisational commitment, as well as lower turnover intentions. (...) Co-worker social undermining is examined as a moderator of the relationship between ethical leadership and disengagement, as we suggest that it is difficult for ethical leaders to be effective when co-worker undermining prevails. To test the proposed model, questionnaires were administered to 460 nurses in Romanian hospital settings over three time points separated by two-week intervals and the hypotheses were tested using generalised multilevel structural equation modeling (GSEM) with STATA. The findings revealed that ethical leadership has a beneficial effect on employee attitudes by reducing disengagement. However, the relationship between ethical leadership and disengagement was moderated by co-worker social undermining, such that when undermining was higher, the significance of the mediated relationships disappeared. These results suggest that while ethical leaders can promote positive employee attitudes, their effectiveness is reduced in situations where co-worker undermining exists. (shrink)

This essay begins a conversation between Bernard Williams and Confucius (of the Analects ) in response to the general question of whether individuals are internally motivated in adopting role-specific reasons for action. It is argued that certain social roles such as Father, Son, Husband, Wife, Minister or Ruler, and Citizen or Subject are thick ethical concepts operative in Confucian ethical communities, such that the application of these thick ethical concepts results in role-specific internal reasons for action. If so, the Confucian (...) emphasis on li 禮 constitutes ethical knowledge regarding the applicability of these thick ethical concepts, the practice of which actively offers individuals reasons to apply their social roles. This expands Williams' ethical theorizing to account for the ethical significance of social roles and relationships within Confucian ethical communities, as the collective practice of li within a Confucian ethical community serves as a background to the sort of ethical theorizing favored by Williams. (shrink)

We revisit the flight-to-quality and flight-from-quality occurrences vis-à-vis the stock-bond nexus across differing investment time scales in the COVID-19 era, using a novel technique hinged on a denoised frequency-domain transfer entropy. Our findings divulge that flights, both FTQ and FFQ, could be attained during stress periods. Generally, in the intermediate term of the COVID-19 pandemic, both Islamic and conventional bonds could act as safe havens, diversifiers, and hedges for international equities, and the same could be observed for international equities. We (...) reiterate empirically that flights may improve the financial system’s stability and robustness by allowing diversity to be effective when it is most required. The findings have financial and portfolio implications for investors considering how to deploy their investments in the COVID-19 era. Our findings may impact policymakers’ responses to changes in various asset classes, allowing them to better monitor financial markets and adjust macroeconomic policies. (shrink)

Programming artificial intelligence to make fairness assessments of texts through top-down rules, bottom-up training, or hybrid approaches, has presented the challenge of defining cross-cultural fairness. In this paper a simple method is presented which uses vectors to discover if a verb is unfair or fair. It uses already existing relational social ontologies inherent in Word Embeddings and thus requires no training. The plausibility of the approach rests on two premises. That individuals consider fair acts those that they would be willing (...) to accept if done to themselves. Secondly, that such a construal is ontologically reflected in Word Embeddings, by virtue of their ability to reflect the dimensions of such a perception. These dimensions being: responsibility vs. irresponsibility, gain vs. loss, reward vs. sanction, joy vs. pain, all as a single vector. The paper finds it possible to quantify and qualify a verb as fair or unfair by calculating the cosine similarity of the said verb’s embedding vector against FairVec—which represents the above dimensions. We apply this to Glove and Word2Vec embeddings. Testing on a list of verbs produces an F1 score of 95.7, which is improved to 97.0. Lastly, a demonstration of the method’s applicability to sentence measurement is carried out. (shrink)

This paper offers an account of xiao 孝, often translated as filial piety or familial deference, which is compatible with Bernard Williams’s insistence that ethical deliberation should be indeterminate and open-ended, rather than pre-established on the basis of one’s social relationships. Through a critical reading of Williams’s account of ethical knowledge localized to an advisor model, I suggest that we trust those who share similar experiences in social relationships to offer advice specific to our social roles. This trust exhibits itself (...) as xiao, which amounts to no more than the deference children have towards their parents as their guides on the ethical question of how we ought to live—‘we’, as individuals who share common experiences of being children, fathers, mothers, husbands, wives, and other such social roles. (shrink)

The study aimed to know the relationship between the nature of the work and the type of communication among the Employees in the Palestinian universities. A comparative study between Al-Azhar University and Al-Aqsa University. The researchers used the analytical descriptive method through a questionnaire that is randomly distributed among the employees of Al-Azhar and Al-Aqsa universities in Gaza Strip. The study was conducted on a sample of (176) administrative employees from the surveyed universities. The response rate was (85.79%). The study (...) reached a number of results, the most important of which is that there is a high degree of satisfaction with the nature of work prevailing in the Palestinian universities in Gaza Strip from the point of view of the administrative staff, where the percentage was (68.15%). There is an Mean level of communication from the point of view of administrative staff, with a percentage of (67.50%). There is a direct correlation between the nature of the work and the prevailing pattern of communication. There is an absence of differences between the sample according to the gender variable in their perception of the nature of work and the prevailing pattern of communication. There is an absence of differences in the perception of Employees nature of work and the pattern of communication prevailing depending on the variables (age, years of service, job level, and university). There are statistically significant differences between Al-Azhar University and Al-Aqsa University in favor of Al-Azhar University. The study reached a number of recommendations, the most important of which is that the interest of the management of the Palestinian universities in Gaza Strip in general, and Al-Aqsa and Al-Azhar Universities in particular should be provided with a good nature of work and communication. There is a need for continuing the management of universities to pay attention and continuous improvement of the performance of employees. There is an importance of solving the problems of Employees and giving them the opportunity to contribute to solving their own problems. Staff rotation should be used periodically and the need to strengthen the democratic leadership style and empower university Employees. (shrink)

The issue of the employment of graduates in Algeria was born with the decoupling between training and employment in the state public sector. She became very acute in the late 80s with the transition to economic liberalism and is the subject of a new employment policy for at least twenty years. In this context, the reform of higher education introduced in 2004 under the name of “LMD reform” aims to “modernize” higher education and training to match the needs of employers. (...) This article specifically examines the devices to youth employment implemented by various government departments and the implementation of the “LMD”, especially in view of using it is supposed to provide young graduates to better be inserted in the labor market. (shrink)

The purpose of this study was to examine the cross-cultural validity of the Organizational Stressor Indicator for Sport Performers scale by investigating its psychometric properties with Ghanaian footballers. The study particularly sought to assess in the Ghanaian context, 1, the convergence validity and reliability of the OSI-SP scale, 2, the discriminant validity of the OSI-SP scale to understand the applicability of its factor structure, and 3, whether the OSI-SP hypothesized model fits the data collected within the study context. The intensity (...) aspect of the OSI-SP questionnaire was administered to 424 Ghana Premier League male footballers who took part in the 2020/2021 season. Quality control strategies were put in place to ensure consistency across interpreters and as well improve the validity of the data. The results from a multi-factor first-order confirmatory factor analysis showed some level of convergence validity of the OSI-SP scale in the Ghanaian context using football players. Out of the 23 items on the original scale, 20 met the factor loadings criterion. In assessing the discriminant validity of the OSI-SP scale using Heterotrait-monotrait, 50% of the correlation ratios met the criterion for the original 23-item instrument. Comparing the new model with the original model using the Akaike Information Criterion value, the model fit indices for the modified model appeared better than the original model with 23-items. Generally, there was minimal support for the applicability of the OSI-SP instrument across the sample of Ghanaian footballers. The implications of these findings are discussed in detail. (shrink)

Transplant centers and physicians in the United States have limited guidance on the information which they can and cannot provide to transplant candidates regarding donors of potential organs. Patients may refuse organs for a variety of reasons ranging from pernicious requests including racism to misinformation about emerging medicine as with the COVID-19 vaccine and infection. Patient autonomy, organ stewardship, and equity are often at odds in these cases, but precedent indeed exists to help address these challenges. This work uses such (...) cases to highlight the urgent need for uniform, national policy prohibiting informational requests unrelated to well-established risks. (shrink)

This study evaluated the dimensionality and psychometric properties of the Brief Self-Control Scale (BSCS) using a sample of university students in mainland China. Nine hundred and three students from a Chinese university participated in this study. The internal consistency, criterion validity, factorial validity and construct validity of the scale were examined. The Chinese versions of the BSCS demonstrated good internal consistency. The BSCS also showed significant moderate correlations with other construct-related scales. Exploratory factor analysis and confirmatory factor analysis suggested that (...) only a modified 11-item BSCS with a four-factor structure was a good model fit in the sample of Chinese university students. The implications for research and theoretical development are discussed. (shrink)

Co-speech gestures are closely connected to speech, but little attention has been paid to the associations between gesture and L2 speech performance. This study explored the associations between four types of co-speech gestures and the meaning, form, and discourse dimensions of L2 speech performance. Gesture and speech data were collected by asking 61 lower-intermediate English learners whose first language is Chinese to retell a cartoon clip. Results showed that all the four types of co-speech gestures had positive associations with meaning (...) and discourse L2 speech measures but no association with form-related speech measures, except the positive association between metaphorics and the percentage of error-free clauses. The findings suggest that co-speech gestures may have a tighter connection with meaning construction in producing L2 speech. (shrink)

This book opens with the emergence and development of the discipline of aesthetics in western countries, specifically the history of Western Music Aesthetics, to study and delve into the development of Chinese Music Aesthetics. The book provides a clear timeline throughout the writing - from the history of Chinese Music Aesthetics, to the construction of a theoretical framework, and the intersections and conversations between Western and Chinese Music Aesthetics. This academic piece is fundamentally consistent with the developing field of Chinese (...) philosophical and literary research. This book also discusses important music aesthetic categories of Confucianism, Taoism, Mohism, and metaphysics, and uses critical thinking to analyse the relationship between these categories and relevant schools of thought, reflecting the author's academic vision and thought process. (shrink)

Drawing on social exchange theory, this study examines a mechanism, namely organizational social capital, through which self-sacrificial leadership is related to two types of employee behaviours: organizational citizenship behaviours and counterproductive behaviours. The results of two different studies in Egypt showed that self-sacrificial leadership is positively related to OSC which, in turn, is positively related to OCBs and negatively related to CPBs. Overall, the findings suggest that self-sacrificial leaders are more likely to achieve desirable employee behaviours through improving the quality (...) of social relationships among employees. (shrink)

The primary and secondary sources of Islamic law often assume a binary distinction between ijtihād and taqlīd, ignoring a third level of engagement with the sources, which was conceptualized by some jurists as forming a distinct category. In this article I discuss the evolution of the terms ijtihād, taqlīd, and ittibāʿ, using a conceptual-historical approach. I argue that the use of taqlīd to mean “precedent-following” did not emerge as a technical term until after the time of al-Shāfiʿī. The distinction between (...) precedent-following and verifiable-following did not appear in legal discourse until the time of Aḥmad b. Ḥanbal. I also demonstrate that there were three approaches to these terms in legal discourse after the time of Ibn Ḥanbal, with three groups of jurists defining them in ways that advanced their different visions of law-making. I conclude with a discussion of the debate over the meanings of these terms in the eighteenth and nineteenth centuries. (shrink)

This is a survey article on algebraic logic. It gives a historical background leading up to a modern perspective. Central problems in algebraic logic (like the representation problem) are discussed in connection to other branches of logic, like modal logic, proof theory, model-theoretic forcing, finite combinatorics, and Gödel’s incompleteness results. We focus on cylindric algebras. Relation algebras and polyadic algebras are mostly covered only insofar as they relate to cylindric algebras, and even there we have not told the whole story. (...) We relate the algebraic notion of neat embeddings (a notion special to cylindric algebras) to the metalogical ones of provability, interpolation and omitting types in variants of first logic. Another novelty that occurs here is relating the algebraic notion of atom-canonicity for a class of boolean algebras with operators to the metalogical one of omitting types for the corresponding logic. A hitherto unpublished application of algebraic logic to omitting types of first order logic is given. Proofs are included when they serve to illustrate certain concepts. Several open problems are posed. We have tried as much as possible to avoid exploring territory already explored in the survey articles of Monk [93] and Németi [97] in the subject. (shrink)

La traducción de la obra principal de Maimónides, la Guía de los descarriados, del árabe al hebreo tuvo repercusiones amplias y prolongadas. Provocó una crisis social en el seno de las comunidades judías en dominios cristianos, abrió las puertas al conocimiento de la filosofía de Averroes y de Aristóteles entre los judíos, y dio lugar a una corriente averroísta judía, y a su oposición. Dado que Algacel representa una posición tradicional contraria a la filosofía, y combatida por Averroes, hahlane sostiene (...) que el interés dentro de la comunidad judía por Algacel es debido su utilidad en la polémica interna contra Averroes y Maimónides. (shrink)

This study presents an Islamic conception of sovereignty from mainstream Sunni theology by closely examining Ghiyāth al-umam fī iltyāth aẓ-ẓulam, the major political work of Abū al-Ma‘ālī al-Juwayn...

We consider countable so‐called rich subsemigroups of ; each such semigroup T gives a variety CPEAT that is axiomatizable by a finite schema of equations taken in a countable subsignature of that of ω‐dimensional cylindric‐polyadic algebras with equality where substitutions are restricted to maps in T. It is shown that for any such T, if and only if is representable as a concrete set algebra of ω‐ary relations. The operations in the signature are set‐theoretically interpreted like in polyadic equality set (...) algebras, but such operations are relativized to a union of cartesian spaces that are not necessarily disjoint. This is a form of guarding semantics. We show that CPEAT is canonical and atom‐canonical. Imposing an extra condition on T, we prove that atomic algebras in CPEAT are completely representable and that CPEAT has the super amalgamation property. If T is rich and finitely represented, it is shown that CPEAT is term definitionally equivalent to a finitely axiomatizable Sahlqvist variety. Such semigroups exist. This can be regarded as a solution to the central finitizability problem in algebraic logic for first order logic with equality if we do not insist on full fledged commutativity of quantifiers. The finite dimensional case is approached from the view point of guarded and clique guarded (relativized) semantics of fragments of first order logic using finitely many variables. Both positive and negative results are presented. (shrink)

Programming artificial intelligence to make fairness assessments of texts through top-down rules, bottom-up training, or hybrid approaches, has presented the challenge of defining cross-cultural fairness. In this paper a simple method is presented which uses vectors to discover if a verb is unfair or fair. It uses already existing relational social ontologies inherent in Word Embeddings and thus requires no training. The plausibility of the approach rests on two premises. That individuals consider fair acts those that they would be willing (...) to accept if done to themselves. Secondly, that such a construal is ontologically reflected in Word Embeddings, by virtue of their ability to reflect the dimensions of such a perception. These dimensions being: responsibility vs. irresponsibility, gain vs. loss, reward vs. sanction, joy vs. pain, all as a single vector. The paper finds it possible to quantify and qualify a verb as fair or unfair by calculating the cosine similarity of the said verb’s embedding vector against FairVec—which represents the above dimensions. We apply this to Glove and Word2Vec embeddings. Testing on a list of verbs produces an F1 score of 95.7, which is improved to 97.0. Lastly, a demonstration of the method’s applicability to sentence measurement is carried out. (shrink)