Le livre d’Emily L. Osborn propose une histoire politique de la vallée du Milo en Guinée, sous l’angle des rapports de genre. Couvrant une longue période, de la fondation du royaume de Baté au milieu du xviie siècle au début du xxe siècle, cette étude fait ressortir la présence et l’influence, variable selon les époques, des femmes dans le jeu politique. Plus précisément, l’ambition de l’ouvrage est d’articuler la formation des unités familiales (household-making) et celle de l’État (state-ma...

This book offers the first comprehensive introduction to one of the most significant Arab thinkers of the late 20th century and the early 21st century: the Moroccan philosopher and social theorist Mohammed Abed al-Jabri. With his intellectual and political engagement, al-Jabri has influenced the development of a modern reading of the Islamic tradition in the broad Arab-Islamic world and has been, in recent years, subject to an increasing interest among Muslims and non-Muslim scholars, social activists and lay men. The contributors (...) to this volume read al-Jabri with reference to prominent past Arab-Muslim scholars, such as Ibn Rushd, al-Ghazali, al-Shatibi, and Ibn Khaldun, as well as contemporary Arab philosophers, like Hassan Hanafi, Abdellah Laroui, George Tarabishi, Taha Abderrahmane; they engage with various aspects of his intellectual project, and trace his influence in non-Arab-Islamic lands, like Indonesia, as well. His analysis of Arab thought since the 1970s as a harbinger analysis of the ongoing “Arab Spring uprising” remains relevant for today's political challenges in the region. (shrink)

We show that the conceptual distance between any two theories of first-order logic is the same as the generator distance between their Lindenbaum–Tarski algebras of concepts. As a consequence of this, we show that, for any two arbitrary mathematical structures, the generator distance between their meaning algebras (also known as cylindric set algebras) is the same as the conceptual distance between their first-order logic theories. As applications, we give a complete description for the distances between meaning algebras corresponding to structures (...) having at most three elements and show that this small network represents all the possible conceptual distances between complete theories. As a corollary of this, we will see that there are only two non-trivial structures definable on three-element sets up to conceptual equivalence (i.e., up to elementary plus definitional equivalence). (shrink)

We show that the U.S. anti-discriminatory laws prohibiting discrimination in the workplace based on sexual orientation and gender identity identities) spur innovation, which ultimately leads to higher firm performance. We use the Human Rights Campaign’s Corporate Equality Index of 398 U.S. firms between 2011 and 2014, and find a significantly positive relationship between CEI and firm innovation. We also find that an interacting effect of CEI and firm innovation leads to higher firm performance. We use our understanding of Rawls’ Theory (...) of Justice and stakeholder theory to show that firms with workplace diversity policies are likely to be more innovative and perform better than those without such policies. Our results are robust to endogeneity, reverse causality and simultaneity issues. Our results will trigger debate in similar markets around the globe on the economic benefits of LGBT workplace diversity policies for firms. (shrink)

Madness is a complex and contested term. Through time and across cultures it has acquired many formulations: for some, madness is synonymous with unreason and violence, for others with creativity and subversion, elsewhere it is associated with spirits and spirituality. Among the different formulations, there is one in particular that has taken hold so deeply and systematically that it has become the default view in many communities around the world: the idea that madness is a disorder of the mind. -/- (...) Contemporary developments in mental health activism pose a radical challenge to psychiatric and societal understandings of madness. Mad Pride and mad-positive activism reject the language of mental 'illness' and 'disorder', reclaim the term 'mad', and reverse its negative connotations. Activists seek cultural change in the way madness is viewed, and demand recognition of madness as grounds for identity. But can madness constitute such grounds? Is it possible to reconcile delusions, passivity phenomena, and the discontinuity of self often seen in mental health conditions with the requirements for identity formation presupposed by the theory of recognition? How should society respond? -/- Guided by these questions, this book is the first comprehensive philosophical examination of the claims and demands of Mad activism. Locating itself in the philosophy of psychiatry, Mad studies, and activist literatures, the book develops a rich theoretical framework for understanding, justifying, and responding to Mad activism's demand for recognition. (shrink)

This article discusses the career of Joseph Moses Juran. He is described as being an astute observer, attentive listener, brilliant synthesizer, and prescient prognosticator. Juran has been called the father of quality, a quality guru, and the man who taught quality to the Japanese. One of his stellar contributions is the Juran trilogy of the three quality processes: quality control, quality planning, and quality improvement. Juran summarized the following three features of quality control activities in Japan that created the revolution (...) in quality: a massive quality-related education and training program; an annual program of quality improvement; and upper-management leadership of the quality function. (shrink)

Les études de Michel de Certeau sur la mystique ont débouché sur une réflexion sur la pratique de l’histoire et le statut de l’historien. Cette réflexion a mené, à son tour, vers des interrogations d’ordre épistémologique sur l’articulation de la pensée et de l’action. Elle est élaborée par de Certeau et mise dans la perspective d’une approche anthropologique du quotidien. Il n’hésite pas à parler «des histoires du quotidien» , de tout ce qu’il y a d’ordinaire dans l’action humaine. Son (...) entreprise n’est pas la quête du sens, mais l’examen attentif de ce qui se fait et se défait dans les pratiques quotidiennes. Les mots employés désignent souvent des formes de résistance face au pouvoir impérieux de l’ordre social: braconnage, tactique, ruse, perruque, etc. Ces arts de faire «tacticiens» renvoient à une poétique de l’agir articulée sur les pratiques sociales. (shrink)

The purpose of this paper is to investigate the nature of rhetoric and rhetorical strategies that are implicit in the standalone sustainability reporting of the top 24 companies of the Fortune 500 Global. We adopt Bormann’s :396–407, 1972) SCT framework to study the rhetorical situation and how corporate sustainability reporting messages can be communicated to the audience. The SCT concepts in the sustainability reporting’s communication are subject to different types of legitimacy strategies that are used by corporations as a validity (...) and legitimacy claim in the reports. A content analysis has been conducted and structural coding schemes have been developed based on the literature. The schemes are applied to the SCT model which recognizes the symbolic convergent processes of fantasy among communicators in a Society. The study reveals that most of the sample companies communicate fantasy type and rhetorical vision in their corporate sustainability reporting. However, the disclosure or messages are different across locations and other taxonomies of the SCT framework. This study contributes to the current CSR literature about how symbolic or fantasy understandings can be interpreted by the users. It also discusses the persuasion styles that are adopted by the companies for communication purposes. This study is the theoretical extension of the SCT. Researchers may be interested in further investigating other online communication paths, such as human rights reports and director’s reports. (shrink)

End-of-life organ donation is controversial in Islam. The controversy stems from: scientifically flawed medical criteria of death determination; invasive perimortem procedures for preserving transplantable organs; and incomplete disclosure of information to consenting donors and families. Data from a survey of Muslims residing in Western countries have shown that the interpretation of religious scriptures and advice of faith leaders were major barriers to willingness for organ donation. Transplant advocates have proposed corrective interventions: reinterpreting religious scriptures, reeducating faith leaders, and utilizing media (...) campaigns to overcome religious barriers in Muslim communities. This proposal disregards the intensifying scientific, legal, and ethical controversies in Western societies about the medical criteria of death determination in donors. It would also violate the dignity and inviolability of human life which are pertinent values incorporated in the Islamic moral code. Reinterpreting religious scriptures to serve the utilitarian objectives of a controversial end-of-life practice, perceived to be socially desirable, transgresses the Islamic moral code. It may also have deleterious practical consequences, as donors can suffer harm before death. The negative normative consequences of utilitarian secular moral reasoning reset the Islamic moral code upholding the sanctity and dignity of human life. (shrink)

_The Reconstruction of Religious Thought in Islam_ is Muhammad Iqbal's major philosophic work: a series of profound reflections on the perennial conflict among science, religion, and philosophy, culminating in new visions of the unity of human knowledge, of the human spirit, and of God. Iqbal's thought contributed significantly to the establishment of Pakistan, to the religious and political ideals of the Iranian Revolution, and to the survival of Muslim identity in parts of the former USSR. It now serves as new (...) bridge between East and West and between Islam and the other Religions of the Book. With a new Introduction by Javed Majeed, this edition of _The Reconstruction_ opens the teachings of Iqbal to the modern, Western reader. It will be essential reading for all those interested in Islamic intellectual history, the renewal of Islam in the modern world, and political theory of Islam's relationship to the West. (shrink)

The Royal College of Physicians of London published the 2013 national clinical guidelines on prolonged disorders of consciousness in vegetative and minimally conscious states. The guidelines acknowledge the rapidly advancing neuroscientific research and evolving therapeutic modalities in PDOC. However, the guidelines state that end-of-life decisions should be made for patients who do not improve with neurorehabilitation within a finite period, and they recommend withdrawal of clinically assisted nutrition and hydration . This withdrawal is deemed necessary because patients in PDOC can (...) survive for years with continuation of CANH, even when a ceiling on medical care has been imposed, i.e., withholding new treatment such as cardiopulmonary resuscitation for acute life-threatening illness. The end-of-life care pathway is centered on a staged escalation of medications, including sedatives, opioids, barbiturates, and general anesthesia, concurrent with withdrawal of CANH. Agitation and distress may last from several days to weeks because of the slow dying process from starvation and dehydration. The potential problems of this end-of-life care pathway are similar to those of the Liverpool Care Pathway. After an independent review in 2013, the Department of Health discontinued the Liverpool Care pathway in England. The guidelines assert that clinicians, supported by court decisions, have become the final authority in nonconsensual withdrawal of CANH on the basis of “best interests” rationale. We posit that these guidelines lack high-quality evidence supporting: 1) treatment futility of CANH, 2) reliability of distress assessment from starvation and dehydration, 3) efficacy of pharmacologic control of this distress, and 4) proximate causation of death. Finally, we express concerns about the utilitarian-based assessment of what constitutes a person’s best interests. We are disturbed by the level and the role of medical authoritarianism institutionalized by these national guidelines when deciding on the worthiness of life in PDOC. We conclude that these guidelines are not only harmful to patients and families, but they represent the means of nonconsensual euthanasia. The latter would constitute a gross violation of the public’s trust in the integrity of the medical profession. (shrink)

The ethical climate in Turkey is beset by ethical problems. Bribery, environmental pollution, tax frauds, deceptive advertising, production of unsafe products, and the ethical violations that involved politicians and business professionals are just a few examples. The purpose of this study is to compare and contrast the ethical beliefs of American and Turkish consumers using the Ethical Position Questionnaire (EPQ) of Forsyth (1980), the Machiavellianism scale, and the Consumer Ethical Practices of Muncy and Vitell questionnaire (MVQ). A sample of 376 (...) subjects that consists of American consumers (n = 188) and Turkish consumers (n = 199) was used to compare the ethical beliefs and practices of the two samples. The MANOVA results for the two nationality groups found that five out of six criterion variables differed between the two groups. The implications of this study are intended to assist marketers to develop strategies that suit a particular market and lessen their risk of entry. (shrink)

Artificial intelligence (AI) technologies are increasingly creeping into the work sphere, thereby gradually questioning and/or disturbing the long-established moral concepts and norms communities have been using to define what makes work good. Each community, and Muslims make no exception in this regard, has to revisit their moral world to provide well-thought frameworks that can engage with the challenging ethical questions raised by the new phenomenon of AI-mediated work. For a systematic analysis of the broad topic of AI-mediated work ethics from (...) an Islamic perspective, this article focuses on presenting an accessible overview of the “moral world” of work in the Islamic tradition. Three main components of this moral world were selected due to their relevance to the AI context, namely (1) Work is inherently good for humans, (2) Practising a religiously permitted profession and (c) Maintaining good relations with involved stakeholders. Each of these three components is addressed in a distinct section, followed by a sub-section highlighting the relevance of the respective component to the particular context of AI-mediated work. The article argues that there are no unsurmountable barriers in the Islamic tradition against the adoption of AI technologies in work sphere. However, important precautions should be considered to ensure that embracing AI will not be at the cost of work-related moral values. The article also highlights how important lessons can be learnt from the positive historical experience of automata that thrived in the Islamic civilization. (shrink)

The determination of death by neurological criteria remains controversial scientifically, culturally, and legally, worldwide. In the United Kingdom, although the determination of death by neurological criteria is not legally codified, the Code of Practice of the Academy of Medical Royal Colleges is customarily used for neurological death determination and treatment withdrawal. Unlike some states in the US, however, there are no provisions under the law requiring accommodation of and respect for residents' religious rights and commitments when secular conceptions of death (...) based on medical codes and practices conflict with a traditional concept well-grounded in religious and cultural values and practices. In this article, we analyse the medical, ethical, and legal issues that were generated by the recent judgement of the High Court of England and Wales in Re: A [2015] EWHC 443. Mechanical ventilation was withdrawn in this case despite parental religious objection to a determination of death based on the code of practice. We outline contemporary evidence that has refuted the reliability of tests of brainstem function to ascertain the two conjunctive clinical criteria for the determination of death that are stipulated in the code of practice: irreversible loss of capacity for consciousness and somatic integration of bodily biological functions. We argue that: the tests of brainstem function were not properly undertaken in this case; the two conjunctive clinical criteria set forth in the code of practice cannot be reliably confirmed by these tests in any event; and absent authentication of the clinical criteria of death, the code of practice wrongly invokes a secular definition of death based on the loss of personhood. Consequently, the moral obligation of a pluralistic society to honor and respect diverse religious convictions to the greatest extent possible is being violated. Re A is contrasted with the US case of Jahi McMath in which the court accommodated parental religious objection to the determination of neurological death codified in the Uniform Determination of Death Act. We conclude that the legal system in the United Kingdom should not favour a secular definition of death over a definition of death that is respectful of religious values about the inviolability and sanctity of life. We recommend the legal recognition of religious accommodation in death determination to facilitate cultural sensitivity and compassionate care to patients and families in a pluralistic society. (shrink)

The enlarging domain of psychiatric intervention is frequently associated with the undue medicalization of unusual experiences. In such a climate, it becomes of utmost importance to carefully choose appropriate candidates for the psychiatric gaze. This suggests a need to draw a distinction between religious experiences (with psychotic form) and pathological psychotic experiences. As Jackson and Fulford (1997) maintain, “spiritual experiences, whether welcome or unwelcome, and whether or not they are psychotic in form, have nothing (directly) to do with medicine. It (...) would be quite wrong, then, to “treat” spiritual psychotic experiences with neuroleptic drugs, just as it is quite wrong to “treat” political .. (shrink)

The current study investigates Arabic orientational metaphors in Modern Standard Arabic. Specifically, it is a corpus-based study that tries to retrieve conceptual orientational metaphors ofup-down, front-back, right-left, andcentral-peripheralspatial orientation. The study assumes that every orientation can be described using a set of different lexemes, and these lexemes express different linguistic orientational metaphors with different levels of usage frequency. It is hypothesized that studying the relationships between these lexemes, their etymologies, and frequency can provide a detailed, integrative account of metaphorical aspects (...) and conceptual systems related to each spatial orientation. A bottom-up methodology to identify metaphorical usages of spatial lexemes was applied to theStanford Arabic Corpus. The results list the spatial linguistic metaphors comprising conceptual metaphors and show for each orientation that mapping orientations onto conceptual metaphors is a complicated process, which integrates linguistic and cognitive levels. The cognitive-perceptual and cultural implications of these findings are discussed. (shrink)

Normativity is assessed as we evaluate and compare the environmental reporting practices of a sample of French and Canadian companies through the lens of institutional legitimacy. More specifically, we examine how French and Canadian firms changed their reporting practices in reaction to the promulgation of laws and regulations in their respective countries, i.e., the NER and Grenelle II Acts in France, and National Instrument 51-102 and CSA Staff Notice NR 51-333, issued by the Canadian Securities Administrators. The firms’ voluntary disclosures (...) according to GRI guidelines are also investigated. Substantive legitimacy theory is used to explore the level of substantive disclosures provided by Canadian and French firms. The findings reveal that the French parliamentary regime is more successful than the Canadian stock exchange regulation in triggering environmental reporting, and that the GRI combined with local regimes prompts environmental disclosures. Notwithstanding the improvements in environmental reporting under all three regimes, a very low level of substantive disclosure is noted in both countries. (shrink)

This essay is an attempt to assess critically the wax and gold tradition as a philosophical foundation of Ethiopian hermeneutics. In the first part, I shall analyze the wax and gold tradition as a poetic and literary tradition. After exploring how this tradition has shaped social and political interaction in the second part, in the third part I will show the implications of the wax and gold tradition for hermeneutics. I shall then make a critical assessment of the wax and (...) gold tradition as an interpretive philosophy before closing the essay with concluding remarks. (shrink)

The main purpose of this paper is to better understand how sustainability rating agencies, through discourse, promote an “ideology of numbers” that ultimately aims to establish a regime of normalization governing social and environmental performance. Drawing on Thompson’s (Ideology and modern culture: Critical social theory in the era of mass communication, 1990 ) modes of operation of ideology, we examine the extent to which, and how, the ideology of numbers is reflected on websites and public documents published by a range (...) of sustainability rating agencies. Our analysis indicates that the ideology of numbers promotes a relatively narrow vision of corporate social and environmental responsibility. That is, it establishes some areas of visibility while leaving in the shadow certain aspects of the ways in which companies fulfill, or fail to meet, their social and environmental responsibilities. The ideology of numbers also exerts power by identifying those companies that are deemed to be worthy of inclusion, or not, in a supposedly socially responsible corporate elite. (shrink)

Islamic bioethics is in good health, this article argues. During the twentieth century, academic researchers had to deal with a number of difficulties including the scarcity of available Islamic sources. However, the twenty-first century witnessed significant breakthroughs in the field of Islamic bioethics. A growing number of normative works authored by Muslim religious scholars and studies conducted by academic researchers have been published. This nascent field also proved to be appealing for research-funding institutions in the Muslim world and also in (...) the West, such as the Qatar National Research Fund (QNRF) and the Netherlands Organization for Scientific Research (NWO). On the other hand, the article argues that contemporary Islamic bioethics is in need of addressing news issues and adopting new approaches for the sake of maintaining and improving this good health in the future. (shrink)

We respond to Morgan and Feeley’s critique on our article “Mass Media in Organ Donation: Managing Conflicting Messages and Interests.” We noted that Morgan and Feeley agree with the position that the primary aims of media campaigns are: “to educate the general public about organ donation process” and “help individuals make informed decisions” about organ donation. For those reasons, the educational messages in media campaigns should not be restricted to “information from pilot work or focus groups” but should include evidence-based (...) facts resulting from a comprehensive literature research. We consider the controversial aspects about organ donation to be relevant, if not necessary, educational materials that must be disclosed in media campaigns to comply with the legal and moral requirements of informed consent. With that perspective in mind, we address the validity of Morgan and Feeley’s claim that media campaigns have no need for informing the public about the controversial nature of death determination in organ donation. Scientific evidence has proven that the criteria for death determination are inconsistent with the Uniform Determination of Death Act and therefore potentially harmful to donors. The decision by campaign designers to use the statutory definition of death without disclosing the current controversies surrounding that definition does not contribute to improved informed decision making. We argue that if Morgan and Feeley accept the important role of media campaigns to enhance informed decision making, then critical controversies should be disclosed. In support of that premise, we will outline: (1) the wide-spread scientific challenges to brain death as a concept of death; (2) the influence of the donor registry and team-huddling on the medical care of potential donors; (3) the use of authorization rather than informed consent for donor registration; (4) the contemporary religious controversy; and (5) the effects of training desk clerks as organ requestors at the Department of Motor Vehicles offices. We conclude that organ donation is a medical procedure subject to all the ethical obligations that the medical profession must uphold including that of transparency and truthfulness. (shrink)

In 2022, the Research Center for Islamic Legislation & Ethics (CILE) and the World Innovation Summit for Health (WISH) submitted a proposal to host the 17th edition of the World Congress of Bioethics. After announcing that the CILE‐WISH proposal was the winning bid, concerns were raised by bioethicists based in Europe and the USA. To address these concerns, the International Association of Bioethics (IAB) developed a dedicated FAQ section, in coordination with the host institutions, for the first time in IAB (...) history. One‐to‐one communication ensued and individual responses were shared with these colleagues. As a continuation of this conversation, we (CILE Acting Director, WISH Research Fellow and Head of Content, and WISH CEO) address the concerns raised in the Letter‐to‐the‐Editor of Bioethics by Graaf et al. As we support the call to revisit some contentious issues within the global community of bioethicists, we maintain that this should be based on meticulously discussed, informed, consistent and equitable criteria. We also argue that mutual learning from diverse cultures and moral traditions is the optimal way for our scholarly community to be truly global and to eschew the flaws ensuing from ethnocentric discourses. (shrink)

This study was designed to examine the determinants of and differences between the ethical beliefs of two groups of Japanese students in religious and secular universities. Multiple regression analysis revealed that students of the Japanese religious university perceived that young, male, relativistic, and opportunistic students tended to behave less ethically than did older, female, and idealistic students. Students of the Japanese secular university perceived that male, achievement-oriented, and opportunistic students tended to behave less ethically than did female and experience-oriented students. (...) Opportunism was found to be one of the most important determinants in explaining misconduct. Multivariate analysis of variance (MANOVA) and multiple discriminant analysis (MDA) revealed that students of the Japanese secular university tended to score higher on achievement and humanism, and lower on theism and positivism than did students of the Japanese religious university. In addition, students of the Japanese secular university were somewhat more sensitive to academic dishonesty practices than were students of the Japanese religious university. (shrink)

The process of making ethical judgments is much more complex than studying only personal moral philosophy variables (idealism and relativism). The renewed interest in epistemic values (virtue and vice epistemology) in contemporary philosophy has shown significant relevance to understanding ethical behavior and such values may be better predictors than studying only idealism and relativism. The purpose of this exploratory study is to examine employees’ personal moral philosophies, optimism, epistemic values, and various organizational unethical practices as compared to their managers. We (...) used Rawwas’ items of epistemology in this study. The sample consisted of 262 managers and employees. The results revealed that managers were more sensitive to organizational unethical practices, scored less on epistemic vices, less on absolutism, and more on exceptionalism than employees were. However, there was no difference between managers and employees related to moderate and minor unethical organizational practices, situationism, subjectivism, optimism, and epistemic virtues. We provided discussion of the results and implications. (shrink)

This paper seeks to discover whether companies that adopt a stakeholder approach, and thereby demonstrate a wider remit of corporate responsibility, provide inferior returns to those that embrace the shareholder value approach. To classify approaches, mission statements were analysed, the final sample comprising 32 shareholder oriented companies and 48 stakeholder oriented companies. To assess performance both accounting–based and market–based measures were used. A number of moderating variables were taken into account: systematic (beta) risk, gearing (long–term debt to total long–term finance), (...) tax ratios, and firm size. ANOVA and Kruskall–Wallis tests revealed that mission orientation did not affect performance, whether in terms of stock returns or excess returns. Neither were accounting returns on equity different overall, although shareholder oriented companies experienced wider variations in this measure. A number of multiple regressions were also performed. However, the mission dummy was not found to be a significant variable. (shrink)

Using a sample of 21,030 US firm-year observations that represents more than 3000 individual firms over the 1998–2012 period, we investigate the relationship between Corporate Social Responsibility (CSR) and investment efficiency. We provide strong and robust evidence that high CSR involvement decreases investment inefficiency and consequently increases investment efficiency. This result is consistent with our expectations that high CSR firms enjoy low information asymmetry and high stakeholder solidarity (stakeholder theory). Moreover, our findings suggest that CSR components that are directly related (...) to firms’ primary stakeholders (e.g. employee relations, product characteristics, environment, and diversity) are more relevant in reducing investment inefficiency compared with those related to secondary stakeholders (e.g. human rights and community involvement). Finally, additional results show that the effect of CSR on investment efficiency is more pronounced during the subprime crisis. Taken together, our results highlight the important role that CSR plays in shaping firms’ investment behaviour and efficiency. (shrink)

. In the wake of the February 1997 announcement that Dolly the sheep had been cloned, Muslim religious scholars together with Muslim scientists held two conferences to discuss cloning from an Islamic perspective. They were organized by two influential Islamic international religioscientific institutions: the Islamic Organization of Medical Sciences and the International Islamic Fiqh Academy. Both institutions comprise a large number of prominent religious scholars and well‐known scientists who participated in the discussions at the conferences. This article gives a comprehensive (...) analysis of these conferences, the relation between science and religion as reflected in the discussions there, and the further influence of these discussions on Muslims living in the West. Modern discussions on Islamic bioethics show that formulating an Islamic perspective on these issues is not the exclusive prerogative of religious scholars. Formulating such perspectives has become a collective process in which scientists play an essential role. Such a collective approach strengthens the religious authority of Muslim scholars and makes it more influential rather than undermining it. (shrink)

We study in a constructive manner some problems of topology related to the set Irr of irrational reals. The constructive approach requires a strong notion of an irrational number; constructively, a real number is irrational if it is clearly different from any rational number. We show that the set Irr is one-to-one with the set Dfc of infinite developments in continued fraction . We define two extensions of Irr, one, called Dfc1, is the set of dfc of rationals and irrationals (...) preserving for each rational one dfc, the other, called Dfc2, is the set of dfc of rationals and irrationals preserving for each rational its two dfc. We introduce six natural distances over Irr wich we denote by dfc0, dfc1, dfc2, d, dmir and dcut. We show that only the four distances dfco, dfc1, d and dmir among the six make Irr a complete metric space. The last distances define in Irr the same topology in a constructive sens. We study further the set Dfc1 in which we show that the irrationals constitute a closed subset. Finally, we make a particular study of the completion Dfc2 of Dfc for the two equivalent metrics dfc2 and dcut. (shrink)

In this paper we introduce a stochastic model for a population living and migrating between s sites without distinction in the states between residents and immigrants. The evolutionary stable strategies is characterized by the maximization of a stochastic growth rate. We obtain that the expectation of reproductive values, normalized by some random quantity, are constant on all sites and that the expectation of the normalized vector population structure is proportional to eigenvector of the dispersion matrix associated to eigenvalue one, which (...) are, in some way, analogous to the results obtained in the deterministic case. (shrink)