Before examining de Moivre's contributions to the science of mathematics, this article reviews the source materials, consisting of the printed works and the correspondence of de Moivre, and constructs his biography from them. The analytical part examines de Moivre's contributions and achievements in the study of equations, series, and the calculus of probability. De Moivre contributed to the continuing development from Viète to Abel and Galois of the theory of solving equations by means of constructing particular equations, the roots of (...) which can be written in the form $$\sqrt[n]{{a + \sqrt b }} + \sqrt[n]{{a - \sqrt b }}$$. He also discovered the reciprocal equations. In the course of this work de Moivre discovered an expression equivalent to (cos α+i sin α) n =cos n α+i sin n α and, following Cotes, he succeeded in expressing the nth roots of unity in trigonometric form. In the theory of series, de Moivre developed a polynomial theorem encom-passing Newton's binomial theorem and, in particular, a theorem of recurrent series useful in the calculus of probability. The demands of the calculus of probability led de Moivre to an approximation for the binomial coefficients $$\left( {_m^n } \right)$$ for large values of n. The interaction between de Moivre and James Stirling, particularly in regard to the asymptotic series for log (n!), is treated at length. This work supplied the foundation for de Moivre's limit theorem for the binomial distribution. The calculus of probability, which occupied him from 1708 onward, became in time ever more the center of de Moivre's inquiries. Proceeding from contemporary collections of gambling exercises, de Moivre, by introducing an explicit measure of probability for the so-called Laplace experiments, found the beginnings of a theory of probability. De Moivre expanded the classic application of probability calculus to games of chance by addressing himself to the problem of annuities and by adopting Halley's work with its conception of “Probability of life”. De Moivre was the first to publish a mathematically formulated law for the decrements of life derived from mortality tables. (shrink)

Morality in Sport Sport continues to make its presence known throughout the world as it prospers at all levels. Amazingly, there is no end in sight to the popularity and growth of sport. Essential to sport's continued prosperity, growth, and overall livelihood is the sustenance of a firm moral base. It is the goal and hope of the author that you find this textbook to be a useful guide in helping you maintain and build upon the foundation of moral good (...) that is required for sport to exist now and in the future. The need to make good moral decisions in sport is constant. And, although opportunities to make such decisions in sport are seemingly endless, what is "moral" can be somewhat unclear. Given the various perspectives on morality and the lack of clear-cut distinctions between moral and immoral actions, disagreements regarding moral behavior and sport are likely to always exist. However, having a blatant disregard for good moral behavior in sport is difficult to defend from most any position. (shrink)

Background Retraction is a mechanism for alerting readers to unreliable material and other problems in the published scientific and scholarly record. Retracted publications generally remain visible and searchable, but the intention of retraction is to mark them as “removed” from the citable record of scholarship. However, in practice, some retracted articles continue to be treated by researchers and the public as valid content as they are often unaware of the retraction. Research over the past decade has identified a number of (...) factors contributing to the unintentional spread of retracted research. The goal of the Reducing the Inadvertent Spread of Retracted Science: Shaping a Research and Implementation Agenda (RISRS) project was to develop an actionable agenda for reducing the inadvertent spread of retracted science. This included identifying how retraction status could be more thoroughly disseminated, and determining what actions are feasible and relevant for particular stakeholders who play a role in the distribution of knowledge. -/- Methods These recommendations were developed as part of a year-long process that included a scoping review of empirical literature and successive rounds of stakeholder consultation, culminating in a three-part online workshop that brought together a diverse body of 65 stakeholders in October–November 2020 to engage in collaborative problem solving and dialogue. Stakeholders held roles such as publishers, editors, researchers, librarians, standards developers, funding program officers, and technologists and worked for institutions such as universities, governmental agencies, funding organizations, publishing houses, libraries, standards organizations, and technology providers. Workshop discussions were seeded by materials derived from stakeholder interviews (N = 47) and short original discussion pieces contributed by stakeholders. The online workshop resulted in a set of recommendations to address the complexities of retracted research throughout the scholarly communications ecosystem. -/- Results The RISRS recommendations are: (1) Develop a systematic cross-industry approach to ensure the public availability of consistent, standardized, interoperable, and timely information about retractions; (2) Recommend a taxonomy of retraction categories/classifications and corresponding retraction metadata that can be adopted by all stakeholders; (3) Develop best practices for coordinating the retraction process to enable timely, fair, unbiased outcomes; and (4) Educate stakeholders about pre- and post-publication stewardship, including retraction and correction of the scholarly record. -/- Conclusions Our stakeholder engagement study led to 4 recommendations to address inadvertent citation of retracted research, and formation of a working group to develop the Communication of Retractions, Removals, and Expressions of Concern (CORREC) Recommended Practice. Further work will be needed to determine how well retractions are currently documented, how retraction of code and datasets impacts related publications, and to identify if retraction metadata (fails to) propagate. Outcomes of all this work should lead to ensuring retracted papers are never cited without awareness of the retraction, and that, in public fora outside of science, retracted papers are not treated as valid scientific outputs. (shrink)

The article discusses the reception of Grotius by Catholic lawyers at the university of Prague. It focuses on the Grotius commentary by Nicolaus Ignaz Königsmann, which was meant as a response to the discussion of Central European Catholic lawyers on questions of toleration and permissions in law. I argue that Königsmann agreed with Grotius because his conception could be combined with the Catholic belief in free will and dictamen sanae rationis. He grounded natural law in rational human nature and rejected (...) attempts to derive natural law from the highest principle. (shrink)

Jeder weiss, dass er sterben muss. Er weiss nur nicht wann. Wüsste er es, er könnte den Tod nicht mehr aus seinem Leben verdrängen. Dieses Buch geht von einer utopischen Situation aus: Durch eine gentechnische Analyse wird bei jedem Menschen gleich nach seiner Geburt festgestellt, wann sein "Endtag", also sein Todestag, sein wird. Frühere Todesfälle gibt es nur bei Unfall oder Mord, spätere nie. Das Wissen um den Endtag verändert das Leben jedes Einzelnen, die Familien, die Gesellschaft, Ausbildung, Beziehungen und (...) Lebensplanung, Laufbahnen im Beruf, das Rentensystem u.v.m. Was für die einen ein "Horrorszenario" sein kann, entpuppt sich für die anderen als ein Segen: Alle können ihren Lebensabend planen und zur rechten Zeit bewusst Abschied nehmen. Und an diesem Punkt wird das Szenario von Ivo W. Greiter zum Plädoyer: Versucht euch täglich bewusst zu sein und zu akzeptieren, dass Ihr nicht ewig leben werdet. Rechnet mit dem Tod, redet über das Sterben, räumt eure Sachen auf. Und: Der Tod kann seinen Schrecken verlieren, wenn er am Leben teilhaben darf. "Und immer wieder stellte ich mir die Frage: Wenn ich weiss, was ich ändern würde, wenn ich in vier Monaten sterben würde, warum ändere ich es dann nicht gleich?" DR. GREITER, geb. 1940, ist Rechtsanwalt in Innsbruck; er ist vielfach in Berufsverbänden und ehrenamtlich engagiert, so als österreichischer Vorsitzender der internationalen Juristenorganisation World Jurist Association, Washington, als Vizepräsident des Österreichischen Juristentages und des österreichischen Anwaltsvereins u. a.; von 1983 bis 1989 war Dr. Greiter Mitglied des Gemeinderates von Innsbruck und von 1993 bis 2010 französischer Honorarkonsul in Innsbruck. Er befasst sich unter anderem mit Rechtsfragen für Menschen über 66; zahlreiche sonstige fachbezogene Veröffentlichungen. (shrink)

John R. Schneider explores the problem that animal suffering, caused by the inherent nature of Darwinian evolution, poses to belief in theism. Examining the aesthetic aspects of this moral problem, Schneider focuses on the three prevailing approaches to it: that the Fall caused animal suffering in nature (Lapsarian Theodicy), that Darwinian evolution was the only way for God to create an acceptably good and valuable world (Only-Way Theodicy), and that evolution is the source of major, God-justifying beauty (Aesthetic (...) Theodicy). He also uses canonical texts and doctrines from Judaism and Christianity - notably the book of Job, and the doctrines of the incarnation, atonement, and resurrection - to build on insights taken from the non-lapsarian alternative approaches. Schneider thus constructs an original, God-justifying account of God and the evolutionary suffering of animals. His book enables readers to see that the Darwinian configuration of animal suffering unveiled by scientists is not as implausible on Christian theism as commonly supposed. (shrink)

Les recompositions familiales touchent l’ensemble des liens familiaux et des liens intergénérationnels. Or, si l’on observe, tant sur le plan juridique que dans les pratiques des familles conjugales, une acception plus complexe et plus riche de la parentalité, les grands-parents restent souvent méconnus. Comment construisent-ils leurs rapports à leurs « beaux-petits-enfants »? Nous avons examiné la littérature et interrogé des « belles-grands-mères » pour tenter d’y voir plus clair. Quelles représentations le champ social offre-t-il des beaux-grands-parents? Et quelles sont concrètement (...) les conditions et les étapes qui rendent possible une identité « beau-grand-parentale »? (shrink)

In die Geschichte sind Franz Josef Graf von Thun (1734-1801) und seine Frau Wilhelmine (1744-1800) als Gonner des Geniemusikers Wolfgang Amadeus Mozart eingegangen. Der "sonderbare Cavalier", wie er von Mozart genannt wurde, war seinen Zeitgenossen eher als Geisterbeschworer und Magnetiseur, denn als Musikliebhaber und Schriftsteller bekannt. Erst 2009 tauchte im Familienarchiv Thun-Hohenstein das Manuskript der umfangreichen esoterischen Enzyklopadie auf, in der Graf von Thun seine Ansichten uber den Menschen, uber das Weltall und uber die Franzosische Revolution darlegt. Ivo Cerman stellt (...) hier die Philosophie des Grafen vor dem Hintergrund des Illuminismus des 18. Jahrhunderts vor und ediert die wichtigsten Artikel seiner esoterischen Enzyklopadie. Auf der Grundlage dieser gerade entdeckten wichtigen Quelle kann die Frage nach dem Verhaltnis zwischen Aufklarung und Illuminismus neu beantwortet werden. (shrink)

Electronic sports and other variants of ‘digital sports’ have increased in popularity all over the world and may even come to challenge hegemonic concepts of sport. More relevant than the apparent opposition between ‘physical’ and ‘non-physical’ is the question what kind of embodiment is manifested within virtual environments. In this paper, we argue that eSports do require the learning and performance of motor skills and that embodiment within a virtual environment may be considered playful or even athletic. The type of (...) skills that might be tested can even be considered fundamental movement skills. Under appropriate educational supervision, with knowledge of the game, eSports can be utilized for the development of specific elements of digital literacy. Although motor skills are a defining characteristic of eSports, we do not argue that eSports should be integrated within PE. These arguments have not so much to do with the status of physicality present, but with differences in t... (shrink)