ABSTRACT:This article examines the issue of gender equality within Islam in order to develop an ethical framework for businesses operating in Muslim majority countries. We pay attention to the role of women and seemingly inconsistent expectations of Islamic and Western societies with regard to appropriate gender roles. In particular, we contrast a mainstream Western liberal individualist view of freedom and equality—the capability approach, used here as an illustration of mainstream Western liberalism—with an egalitarian Islamic view on gender equality. While the (...) article identifies an opportunity for this particular approach to reform patriarchal interpretations and practices of Islam toward gender egalitarian interpretations and practices, it also contests the notions of adaptation and well-being inherent within the capability approach. We suggest that a dialectical approach to understanding the relationships among religion, culture, and business provides a better guide to responsible business action in Muslim Majority countries than does the capability approach. (shrink)

Religion has been in general neglected or even seen as a taboo subject in organizational research and management practice. This is a glaring omission in the business and society and business ethics literatures. As a source of moral norms and beliefs, religion has historically played a significant role in the vast majority of societies and continues to remain relevant in almost every society. More broadly, expectations for responsible business behavior are informed by regional, national, or indigenous cultures, which in many (...) parts of the world are heavily influenced by religious belief systems and religious institutions. In this essay, we discuss examples of how religion has functioned as a macro social force affecting business and society, discuss some of the key questions and issues related to research in this domain, offer some observations about why religion may be problematic with regard to its effects on business, and conclude by summarizing the articles contained in the special issue. (shrink)

This study provides a ‘pyramid of hate’ perspective on issues and challenges facing minority religious communities in social and political climates that bestow permission to hate. Previous research shows that adverse social stereotypes and biases, together with non-inclusive policies and practices at the level of the state, create an enabling environment that signals the legitimacy of public hostility towards a minority community. This paper argues that such climates of hate within and outside the workplace may be better understood by paying (...) attention to the multiple levels of hate, i.e., biased attitudes, biased actions, discrimination and violence. In its extreme form, such climate may lead to indiscriminate massacres and genocide. This contextual study draws on interviews with 76 Shia Muslim professionals and employees in Pakistan to provide a ‘pyramid of hate’ perspective on issues of bias, discrimination and violence facing them. The study unveils a range of experiences, from subtle bias and stereotyping to blatant harassment, discrimination and hostilities facing Shia professionals and employees in Pakistan. The study is unique as it integrates the notion of pyramid of hate into management and organization studies and advances this theory by examining issues of sect-based bias, discrimination and violence within one religion. (shrink)

With a view to consolidating the existing theory development and stimulating new conceptual thinking, this paper explores the implications of culture, religion, and the legal framework on women’s employment and their limited advancement in the hospitality industry, one of the important elements of the economy in Jordan. A related aim is to contrast the egalitarian Islamic approach to gender equality with gender discriminatory tribal traditions that restrict women’s employment and progression. Guided by religion, culture, and gender literature, this study uses (...) a qualitative, content-based analysis. Drawing on open-ended questionnaires distributed to a diverse workforce across four tourist locations in Jordan, the results portray how tribalism and Bedouin customs embedded in the participants’ interpretation and practices of their religion are maintaining gender gaps in employment and positions of power. The results also reveal that despite the Islamic guidelines towards fairness and justice in employment, the tribal and Bedouin traditions restrict women’s employment through patriarchal interpretations of Islam. Thus, the salient novelty and significance of this study were achieved through contributing to the theory development of the interrelations between religion, culture, and gender equality. (shrink)

Despite a plethora of empirical evidence on the potential role of senior management in the success of corporate social responsibility in Western-dominated organizational contexts, little attempt has been made to document the various managerial mindsets toward CSR in organizations in Muslim-dominated countries in the Middle East region. To address this existing lacuna of theoretical and empirical research in CSR management, this paper offers a qualitative case study of CSR in three manufacturing firms operating in Iran’s auto industry. Based on an (...) inductive analysis of the qualitative data, three types of managerial mindset toward CSR are identified: conformist, self-seeker, and satisfier. While it is evident that these different mindsets of Iranian managers seek to serve managerial ends and short-term self-interests, they fall short of core values of Islamic ethics and CSR. (shrink)

This article presents a theory of how the consumption of Islamic products may promote morally consistent behavior over time. We identify and examine three unique meta-characteristics (MCs) of Islamic ethics: ubudiyah (subservience to God), akhirah (focus on the hereafter or the long-term), and tawado (being modest while doing an ethical act). In four experiments, we show that after consumption of an Islamic banking product, MCs produce moral consistency or repeat ethical behavior, which is one major objective of an ethical system. (...) We also show that the absence of MCs results in moral inconsistency, that is, unethical behavior follows earlier consumption of an Islamic banking product due to the mediating psychological mechanism of moral licensing. Hence, it is not only the enactment of general ethical practices, rather the enactment of ethical practices in the specific context set by the MCs through which Islamic ethical system promotes ethical conduct and prevents unethical conduct. The findings have implications for Islamic ethical system and Islamic banking. (shrink)

Drawing on the emerging research on Islamic work ethic (IWE) and informed by the social cognitive theory (SCT), this study seeks to examine how IWE influences employees’ behaviors through employees’ moral identity internalization, with religiosity moderating the IWE-moral identity Internalization nexus. To examine this moderated mediation model, we collected time-lagged data (_N_ = 427) from employees working in two public organisations in a Muslim majority country in the Middle East, e.g., Jordan. We used a partial least squares structural equation modelling (...) to examine our hypotheses. Our findings suggest that IWE encourages employees’ moral identity internalization, which subsequently prompts refraining from unethical pro-organisational behaviors (UPOB) and unethical pro-family behaviors (UPFB). The findings also show that employee religiosity plays an important role in the relationship between IWE and employees’ moral identity suggesting that IWE is more prone to influence employee disengagement in UPOB and UPFB through moral identity internalization when employee religiosity is higher. At the end, implications for theory and practice are offered as well as suggestions for future research. (shrink)

Abstract : Background: Vegetable agriculture is very important to human continued existence and remains a key driver of many economies worldwide, especially in underdeveloped and developing economies. Objectives: There is an increasing demand for food and cash crops, due to the increasing in world population and the challenges enforced by climate modifications, there is an urgent need to increase plant production while reducing costs. Methods: In this paper, Lemon classification approach is presented with a dataset that contains approximately 2,000 images (...) belong to 3 species at a few developing phases. Convolutional Neural Network (CNN) algorithms, a deep learning technique extensively applied to image recognition was used, for this task. The results: found that CNN-driven lemon classification applications when used in farming automation have the latent to enhance crop harvest and improve output and productivity when designed properly. The trained model achieved an accuracy of 99.48% on a held-out test set, demonstrating the feasibility of this approach. (shrink)

The present piece focuses on the influence of Plotinus' understanding of time and eternity as articulated in Plotinus' third and fifth Enneads upon Mīr Dāmād's (d. 1631–2) conception of eternity, perpetuity, and time found in his Book of Blazing Brands (Kitab al‐Qabasāt). Although Mīr Dāmād's conception of eternity, perpetuity, and time resembles that of Plotinus' cosmology and ontology, he departs from Plotinus' hypostases in establishing strict parameters for each domain. Unlike Plotinus, Mīr Dāmād argues that the realm of eternity is (...) reserved for God alone, while the realm of Perpetuity contains the Platonic Forms. For Mīr Dāmād, the realm of time is an effect of the realm of Perpetuity and a tool for human beings to understand how to measure events in the temporal world. Unlike many other Shī'ite philosophers, Mīr Dāmād's articulation of these three cosmological realms incorporates thought found in the works of both prominent Sunni and Shī'ite scholars such as Ibn Sīnā, Abū Ḥāmid al‐Ghāzālī, Suhrawardī, and Naṣīr al‐Dīn Ṭūsī. Although his most successful student, Mullā Ṣadrā Shirazī, had ultimately disagreed with his teacher's cosmological doctrine, he remained influenced by the multitude of sources that his teacher had used. (shrink)

The twenty-first century has seen an increase in ethical misconduct at the workplace, highlighting the need to stimulate discussion on the role of work ethics. The objective of the current study is to extend the literature on work ethics by examining the role of Islamic work ethic in enhancing the task performance of employees. The current study proposes that psychological capital mediates the relationship between Islamic work ethic and task performance. It is also proposed that ethical leadership might act as (...) a boundary condition that boosts the positive relationship between Islamic work ethic and psychological capital. Data were collected in three-time lags from employees working in the service sector of Pakistan through the questionnaire. The results supported the mediation and moderation hypothesis, confirming that psychological capital mediates the relationship between Islamic work ethic and task performance. Ethical leadership moderates the relationship between Islamic work ethic and psychological capital. The results offer implications for theory and practice. Limitations and future research directions are also discussed. (shrink)

Nanotechnology presents significant challenges in terms of developing a regulatory framework. This is due to a lack of scientific knowledge about the behaviour of the technology in its interactions with biological and ecological processes, the environment and other technologies. Crucially, there is a great deal of uncertainty surrounding the potential environmental and human health and safety impacts of NT. Consequently, the development of NT is a potential test case for framing new models of ‘soft law’ voluntary governance as a substitute (...) for traditional command and control type regulation. Driven by ‘new science governance,’ an approach based on a combination of ideas in anticipatory ethics, future-oriented responsibility, upstream public engagement and deliberation and theories of justice may offer a solution. The uniqueness of the approach can be found in the incorporation of anticipatory approaches via public participation and deliberation as the input into procedural justice approaches with distributional justice as the output. The overarching objective of this work is to contribute to the discussion in relation to the internalisation of responsibility and the building of intellectual and societal capacity to anticipate negative consequences before they arise in the hope that such an approach could be the antithesis of the retrospective imposition of responsibility and liability after the harm is done, which is the outcome of traditional regulatory and ethical approaches. Ultimately, the purpose is to contribute to the long-term sustainability of NT. (shrink)

This study examined the influence of ethical leadership on knowledge sharing, the mediating role of psychological ownership, and the moderating effect of professional commitment between ethical leadership and knowledge sharing. Data were collected from 307 public listed Pakistani companies’ employees. Statistical analyses were performed by using SPSS Version 25 and AMOS version 22. The findings indicate a positive relationship between EL and KS behavior. Additionally, the impact of EL on KS was partially mediated by psychological ownership. Furthermore, professional commitment buffers (...) the link between EL and KS. This study contributes to the body of knowledge in the field of leadership by confirming the role of ethics. The results show that ethical leaders develop employee attitudes that contribute to employee KS behavior. Ethical leaders create and encourage a learning culture to enhance organizational performance. This study adds to the little data on the positive impact of EL on listed company’s employees and addresses the gaps in previous studies on the role of EL in changing environments. In addition, professional commitment as a moderator has not been previously investigated with ethical leadership antecedents. (shrink)

Crimes are increasing in our society as a serious worldwide issue. Fast reporting of crimes is a significantly important area in anticrime. This problem is visible in Iraq as people avoid information-sharing due to the lack of trust in the security system despite some contact lines between citizens and police in Iraq. Furthermore, there has been a little empirical study in this field. We proposed a multi-approach for crime reporting and police control to address these issues. First, this study has (...) two goals: investigating the adopted method in reporting crimes to police sectors to identify the gap and, developing a mobile application for crime reporting and keeping it undisclosed and exclusive for crime witnesses to report. The approach utilised 200 participants to develop the proposed app. Results have shown that the proposed system can quickly monitor and track criminals based on a cloud-based online database. In addition, the application user will specify certain details to be sent, such as location, case type and time. Other information will be sent directly by the system following the designed algorithm. (shrink)

Based on the social exchange theory, the aim of this study is to identify the association between job stress state anger, emotional exhaustion and job turnover intention. This study postulates that job related stress and state anger among nurses during COVID-19 subsequently leads to their job turnover intentions. In addition, the study also aims to see the mediating role of emotional exhaustion between COVID-19-related job stress, state anger, and turnover intentions. The sample of this study is gathered from 335 registered (...) nurses working in Pakistani hospitals dealing with COVID-19-related patients. The interrelationships between variables are checked by using structural equation modeling through AMOS. Key findings confirm that COVID-19-related job stress and state anger had a significant effect on nurses’ turnover intentions. Furthermore, emotional exhaustion mediated the relationship between COVID-19-related job stress, state anger, and turnover intentions. There is a lack of research which has assessed the impact of Novel COVID-19-related job stress and state anger on nurses’ turnover intentions in hospitals, providing empirical evidence from a developing country-Pakistan. This study offers managerial implications for hospital management and health policymakers. Moreover, nursing managers need to pay attention to nurses’ turnover intentions who are facing the issue at the front line as patients receive their initial treatment from nurses in the COVID-19 outbreak. (shrink)

In chapter eleven of "On The Foundation of Computing," Primiero takes on the implementation debate in computer science. He contrasts his theory with two other views—the Semantic and the specification—artifact. In this paper, I argue that there is a way to fine-tune the implementation concept further. Firstly, contrary to Primiero, I claim it is problematic to separate the implementation relationship from the conditions which make it correct. Secondly, by taking a pluralistic approach to implementation, I claim it is a mistake (...) to try and provide a general theory of implementation for the entire production cycle of computational systems. (shrink)

Despite the fact that Islam is one of the major religions, the frameworks of this faith are yet to be fully understood. As a consequence, it is being confused with activities contrary to its teachings. Islam has an elaborate treatment for almost every aspect of life including the affairs of business. Business is an acceptable and dignified occupation, which has to be conducted within the given frameworks. Islam encourages the creation, acquisition and consumption of wealth, and the fulfilling of certain (...) conditions in so doing. Wealth is held in trust as a gift from God. The terms of reference of this trust are to be complied with. Ethical principles do play a major role in shaping the behavior of a Muslim, in or out of business. In an era of globalization, the need for a better understanding of the premises of Islamic faith cannot be overemphasized. (shrink)

Ethical consumerism has been dramatically increasing in recent decades, but in service sector, fewer research has been conducted especially in the fast-food industry. In this paper, we determined empirically the consumer perceived ethicality effects on repurchase intentions as well as on word of mouth through brand image partial mediation and customer expertise moderation in fast-food sector. The data were collected from 307 consumers of the fast-food restaurants through self-administered questionnaires. Common method variance and social desirability bias were measured before testing (...) hypotheses, and the data were investigated by SPSS and AMOS 21st version. The empirical results demonstrated that consumer perceived ethicality effects on repurchase intentions directly and through brand image partial mediation indirectly. Moreover, the direct and positive effects of repurchase intentions on word of mouth were experienced. This study generalized the results of previous studies of consumer perceived ethicality conducted in western culture in Pakistani fast-food sector. This study also proposed that firms should tackle ethical concerns at corporate and operational strategy levels to improve consumers’ behavioral intentions. (shrink)

This paper presents a profile of the welfare regime in Lebanon which is posited on the twin precepts of human ethics and welfare particularism. It highlights the key role that moral values play in the conceptualization and implementation of social policy, as well as in the measurement of welfare outcomes. This is marked by the dominance of duty, traditionalism and elitism in the ethics of religious welfare in Lebanon. The paper argues that the social welfare regime in Lebanon overlaps with (...) the debates on the ethics of care and on virtue ethics in Western moral philosophy. This is also linked in with contemporary conceptualizations of religious ethics in Judaism, Christianity and Islam. The paper asserts that religious ethics is a valid endeavour in its own right and an ever more pertinent subject matter for the study of social welfare and social policy. This challenges the traditional dichotomy between reason and faith which has subdued the relevance of religion to public life. Indeed, religion, the nuclear family and clientelism networks are shown to play a critical role in Lebanese social welfare, such that, in spite of state incapacity, the welfare regime there cannot be considered rudimentary. The method adopted for this research was a large qualitative case study involving service providers and users at the Ministry of Social Affairs and five leading Christian and Muslim religious welfare organizations in Lebanon. (shrink)

Grounding on person–job fit theory, we examined perceived overqualification relation with counterproductive work behavior by identifying job boredom as a mediator and job crafting as a moderator. Hierarchical linear regression and Hayes’ PROCESS macro-method were used to assess hypotheses in a three-wave survey of 317 textile sector employees. The findings show that perceived overqualification is positively related with CWBs. This study further examined the mediating function of job boredom and the moderating impact of job crafting in the association between perceived (...) overqualification and CWB. The findings suggest that job crafting moderates the positive relation between perceived overqualification and job boredom and the indirect connection between perceived overqualification and CWB via job boredom. The model was tested using 3-wave data; however, since the data were attained from a single source, questions of common method bias cannot be ruled out. Managers should look for changes in employee attitudes and promptly modify employees’ positions when they indicate that they have more experience, abilities, and talents required for their roles in their organizations. (shrink)

The COVID-19 outbreak had a profound impact on many facets of society, particularly on the educational system. Therefore, all educational content must be delivered to students online, and it is the student’s responsibility to adjust to this new norm. Hence, this study sought to investigate if there is a significant relationship between self-efficacy and resilience among senior high school students. This study utilized correlational research, with the 150 grade 12 senior high school students enrolled in 2022-2023 as respondents. Thus, the (...) researchers employed General Self-Efficacy and Resilience Scale. Finally, the statistical analysis reveals that the r coefficient of 0.53 indicates a moderate positive correlation between the variables. The p-value of 0.00, less than 0.05, leads to rejecting the null hypothesis. Hence, a significant relationship exists between self-efficacy and resilience among senior high school students. (shrink)

The World Health Organization declares coronavirus disease 2019 as a pandemic, and The World Economic Forum argues that the COVID-19-induced global lockdown is the biggest psychological experiment. This study is an attempt to empirically evaluate the possible adverse psychosocial effects caused by COVID-19-related lockdown, if any. To do so, a cross-sectional study is conducted based on a comprehensive online survey using snowball sampling to analyze the level of social and psychological impacts during the early stage of the outbreak in Pakistan. (...) The questionnaire is filled out by the residents in Pakistan including working professionals and students. We find that the development of stress due to COVID-19-induced lockdown is particularly because of mood swings. Additionally, a higher prevalence of stress in the children of highly educated mothers is evident. To assess the belief in stakeholders, we focus gender, demographics, and education. It is observed that parental education and age significantly affect the belief in several stakeholders. The lockdown-induced fear of losing job is lower in female and male children whose fathers are graduates. Lastly, we observe that food storage and “no fear of losing job” significantly increases the odds of life satisfaction. These findings have important implications in the context of social insurance, parental education, and policy related to COVID-19 at various levels. This study further facilitates to understand the factors that might affect the mental health and life satisfaction of people during such pandemics. (shrink)

Set-theoretic and category-theoretic foundations represent different perspectives on mathematical subject matter. In particular, category-theoretic language focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literature. In this article, we advocate a methodological pluralism concerning the two foundational languages, and provide a theory that fruitfully interrelates a `structural' perspective (...) to a set-theoretic one. We present a set-theoretic system that is able to talk about structures more naturally, and argue that it provides an important perspective on plausibly structural properties such as cardinality. We conclude the language of set theory can provide useful information about the notion of mathematical structure. (shrink)

The purpose of the study is to empirically examine moral ideology, ethical beliefs, and moral intensity in the context of Pakistan. Jones, 366–395, 1991) model and Muncy and Vitell have extensively been investigated and validated in west for examining ethical decision-making process. This study examines and validates these models in a collectivist cultural settings, i.e., Pakistan. A self-administered online survey technique using convenience sampling technique was used to gather data from a sample of 1000 consumers in Pakistan. Final analysis was (...) carried out on 338 valid responses. Data was analyzed using from descriptive analysis, correlation analysis, confirmatory factor analysis, exploratory factor analysis, and model estimation carried out AMOS. Cronbach’s α was used to test the reliability of the instrument. A majority of the consumers were high on idealism and low on relativism. Consumers dejected questionable activities that have harmful outcomes more than ones that have harmless outcomes. Both idealism and relativism are found to significant predict moral intensity. However, no relationship has been found between moral ideology and ethical beliefs. Consumer’s ethical beliefs are found to significantly affect moral intensity and behavioral intention. Social moral intensity is found to mediate the relationship of relativism and harmful ethical beliefs. The study is among the pioneer studies in Pakistan that examines the link of moral ideology, moral intensity, and ethical beliefs. The study provides an Urdu version of scales that can be utilized for further exploration and validation. (shrink)

Many studies assume a significant relationship between intention and behavior. However, the data do not always support this assumption. This study used a modified version of social cognitive theory with self-evaluations as an intermediate variable to explore and resolve the problems associated with applying the theory of planned behavior to explain students’ adoption of technology for self-directed learning. We surveyed 285 college students who enrolled in an e-book publishing course using multifaceted technological learning tools. We found that, as an intermediate (...) variable, self-evaluation enhanced the influence of intentions on behavior and improved the accuracy of predictions of college students’ adoption of technology for self-directed learning. Students’ attitudes and perceived behavioral control were important factors influencing their adoption of technology for self-directed learning through their effects on intention; subjective norms were not important in this respect. (shrink)

We present here an approach to the fine structure of L based solely on elementary model theoretic ideas, and illustrate its use in a proof of Global Square in L. We thereby avoid the Lévy hierarchy of formulas and the subtleties of master codes and projecta, introduced by Jensen [3] in the original form of the theory. Our theory could appropriately be called ”Hyperfine Structure Theory”, as we make use of a hierarchy of structures and hull operations which refines the (...) traditional Lα -or Jα-sequences with their Σn-hull operations.§1. Introduction. In 1938, K. Gödel defined the model L of set theory to show the relative consistency of Cantor's Continuum Hypothesis. L is defined as a unionof initial segments which satisfy: L0 = ∅, Lλ = ∪α<λLα for limit ordinals λ, and, crucially, Lα + 1 = the collection of 1st order definable subsets of Lα. Since every transitive model of set theory must be closed under 1st order definability, L turns out to be the smallest inner model of set theory. Thus it occupies the central place in the set theoretic spectrum of models.The proof of the continuum hypothesis in L is based on the very uniform hierarchical definition of the L-hierarchy. The Condensation Lemma states that if π : M → Lα is an elementary embedding, M transitive, then some ; the lemma can be proved by induction on α. If a real, i.e., a subset of ω, is definable over some Lα,then by a Löwenheim-Skolem argument it is definable over some countable M as above, and hence over some, < ω1. This allows one to list the reals in L in length ω1 and therefore proves the Continuum Hypothesis in L. (shrink)

Eliot’s poem, The Waste Land, in the wake of the Great War or the First World War, which was a time particularly in Western Europe when civilization had fallen to pieces, and it was literally, quite literally in ruin as trenches were dug across the fields of France and Belgium and other countries in Western Europe and as the landscape itself is torn apart, finds only death and self-destruction instead of rebirth or any sense of revivification or any sense of (...) life. The poem deals, in its fragmentary way, not only with the aftermath of the war in its physical repercussions but also with the breakdown of social norms, which earlier ensured cultural sureties. In the process the poem, while vindicating the despair of the individual pitted against the unmanageable disillusionment, shows that this urbanscape is devoid of love and seems to be unable to heal itself. What is left is a poetics of despair where the inhabitants of this ruin wait for redemption from their purgatories, and the search for love is laid to rest in pieces. The paper attempts to demonstrate that the fundamental problem of The Waste Land is the broken bonds of love and sordid sex, the primal cause of ruin and waste, all packed inside a montage of myths, left to the readers to sort out the mess till it dawns on them that all the voices, through their different tales, bemoan, chiefly, the lack of love, an idea that sounds essentialist but keeps in tune with its resonance with the poem. (shrink)

I discuss three potential sources of evidence for truth in set theory, coming from set theory’s roles as a branch of mathematics and as a foundation for mathematics as well as from the intrinsic maximality feature of the set concept. I predict that new non first-order axioms will be discovered for which there is evidence of all three types, and that these axioms will have significant first-order consequences which will be regarded as true statements of set theory. The bulk of (...) the paper is concerned with the Hyperuniverse Programme, whose aim is to discover an optimal mathematical principle for expressing the maximality of the set-theoretic universe in height and width. (shrink)

The present study focused on this particular situation in which doctoral candidates become anxious, impatient, and disappointed while experiencing a prolonged delay in processing their dissertation during and after the submission. The researchers tend to explore doctoral candidates’ storied experiences they had while confronting such procedural barriers and delays. We undertook a narrative mode of inquiry to explore the events and storied experiences through interviewing doctoral candidates from public universities in the province of Punjab, Pakistan. Nine doctoral candidates were selected (...) through snowball sampling with the criterion of including those participants who were waiting for their external reviews at least for more than 1 year. From the narratives, the emergent themes include supervisors’ mutual relationships, the pressure of paper publication, lack of administrative support, external evaluation and follow-up and stress of delayed evaluation. The study has implications for relaxing procedural formalities during and after submission of a doctoral dissertation to facilitate students in the timely attainment of their doctoral degrees. (shrink)

We present here an approach to the fine structure of L based solely on elementary model theoretic ideas, and illustrate its use in a proof of Global Square in L. We thereby avoid the Lévy hierarchy of formulas and the subtleties of master codes and projecta, introduced by Jensen [3] in the original form of the theory. Our theory could appropriately be called ”Hyperfine Structure Theory”, as we make use of a hierarchy of structures and hull operations which refines the (...) traditional Lα -or Jα-sequences with their Σn-hull operations.§1. Introduction. In 1938, K. Gödel defined the model L of set theory to show the relative consistency of Cantor's Continuum Hypothesis. L is defined as a unionof initial segments which satisfy: L0 = ∅, Lλ = ∪α<λLα for limit ordinals λ, and, crucially, Lα + 1 = the collection of 1st order definable subsets of Lα. Since every transitive model of set theory must be closed under 1st order definability, L turns out to be the smallest inner model of set theory. Thus it occupies the central place in the set theoretic spectrum of models.The proof of the continuum hypothesis in L is based on the very uniform hierarchical definition of the L-hierarchy. The Condensation Lemma states that if π : M → Lα is an elementary embedding, M transitive, then some ; the lemma can be proved by induction on α. If a real, i.e., a subset of ω, is definable over some Lα,then by a Löwenheim-Skolem argument it is definable over some countable M as above, and hence over some, < ω1. This allows one to list the reals in L in length ω1 and therefore proves the Continuum Hypothesis in L. (shrink)

In this paper we introduce some fusion properties of forcing notions which guarantee that an iteration with supports of size ⩽κ not only does not collapse κ+ but also preserves the strength of κ. This provides a general theory covering the known cases of tree iterations which preserve large cardinals [3], Friedman and Halilović [5], Friedman and Honzik [6], Friedman and Magidor [8], Friedman and Zdomskyy [10], Honzik [12]).

In the Indian context; contributed articles.

Because metaphysics aims for absolute generality, its primary job is to tell us what are the fundamental particulars, of which one may say that is ultimately all there is, and yet be assured of an unabridged version of reality. It should be clear that such a search for the fundamental particulars is totally different from the enterprise of determining which particulars are basic from the point of view of particular-identification, which though it has recently been labeled "metaphysics," albeit "descriptive metaphysics," (...) might less confusingly be called "descriptive epistemology.". (shrink)

This paper puts Assabiyya into its contextual paradigms related to leadership in the Islamic world. The different trajectories of elitist patterns of leadership in the Islamic world are elucidated, with their tendency to generate Islamist sentiments amongst tribalized masses. The Meta Assabic dynamics of this mobilization is described, which pertains to an excessive group loyalty feeling based upon the perception of an urgent redemption of honour. The centrist relationship trends between the modern Islamists and Islamic regimes are dwelt upon, in (...) the backdrop of Petro Islam and the Islamist outreach to theatres, with the help of examples from Afghanistan and Pakistan, which is vital to comprehending the geopolitical undercurrents of perceptions of redemption of honour rampant within Islamist ranks today. (shrink)

The continuum function αmaps to2α on regular cardinals is known to have great freedom. Let us say that F is an Easton function iff for regular cardinals α and β, image and α<β→F≤F. The classic example of an Easton function is the continuum function αmaps to2α on regular cardinals. If GCH holds then any Easton function is the continuum function on regular cardinals of some cofinality-preserving extension V[G]; we say that F is realised in V[G]. However if we also wish (...) to preserve measurable cardinals, new restrictions must be put on F. We say that κ is F-hypermeasurable iff there is an elementary embedding j:V→M with critical point κ such that H)Vsubset of or equal toM; j will be called a witnessing embedding. We will show that if GCH holds then for any Easton function F there is a cofinality-preserving generic extension V[G] such that if κ, closed under F, is F-hypermeasurable in V and there is a witnessing embedding j such that j≥F, then κ will remain measurable in V[G]. (shrink)