It is shown, assuming the linear case of Schinzel's Hypothesis, that the first-order theory of the structure $\langle \omega; +, P\rangle$ , where P is the set of primes, is undecidable and, in fact, that multiplication of natural numbers is first-order definable in this structure. In the other direction, it is shown, from the same hypothesis, that the monadic second-order theory of $\langle\omega; S, P\rangle$ is decidable, where S is the successor function. The latter result is proved using a general (...) result of A. L. Semenov on decidability of monadic theories, and a proof of Semenov's result is presented. (shrink)

Catalog of the collection of the Madamkhand Museum of Art, named after the wife of Batzhargalyn Batbai︠a︡r, businessman and member of the Mongolian Khural.

Let be the set of nonnegative integers. We show the two following facts about Presburger's arithmetic:1. 1. Let . If L is not definable in , + then there is an definable in , such that there is no bound on the distance between two consecutive elements of L′. and2. 2. is definable in , + if and only if every subset of which is definable in is definable in , +. These two Theorems are of independent interest but we (...) will get from them new proofs of Cobham's and Semenov's Theorems ; Semenov's Theorem is:Let k and l be multiplicatively independent . If is definable in and in then L is recognizable . Here Vm is the function which sends a nonzero natural number to the greatest power of m dividing it. (shrink)

BackgroundAs moral case deliberations (MCDs) have increasingly been implemented in health care institutions as a form of ethics support, it is relevant to know whether and how MCDs actually contribute to positive changes in care. Insight is needed on what actually happens in daily care practice following MCD sessions. This study aimed at investigating the impact of MCD and exploring how ‘impact of MCD’ should be conceptualized for future research.MethodsA multiple-case study was conducted in a care organization for people with (...) intellectual disabilities and/or acquired brain injury, by observing MCD sessions as ‘cases’, followed by interviews with health care professionals concerning the follow-up to these cases, and a focus group with involved MCD facilitators. A conceptual scheme concerning the possible impact formed the basis for analysis: (1) individual moral awareness; (2) the actions of health care professionals; (3) collaboration among health care professionals; (4) the concrete situation of the client; (5) the client’s quality of care and life; (6) the organizational and policy level.ResultsAccording to interviewees, their moral awareness and their collaboration, both among colleagues and with clients’ relatives, improved after MCD. Perceived impact on client situation, quality of care/life and the organizational level varied among interviewees or was difficult to define or link to MCD. Three aspects were added to the conceptual scheme concerning the impact of MCD: (a) preparations and expectations prior to the MCD session; (b) a translational step between the conclusions of the MCD session and practical events in the following period, and (c) collaboration with clients’ relatives. A negative impact of MCD was also found on misunderstandings among participants and disappointment about lack of follow-up.ConclusionsConcretizing and conceptualizing the ‘impact’ of MCD is complicated as many factors play a role either before or during the transition from MCD to practice. It is important to consider ‘impact’ in a broad sense and to relate it to the goals and context of the MCD in question. Future studies in this field should pay additional attention to the preparations, content and process involved in ethics support, including clients’ and relatives’ experiences. (shrink)

jild-i 1. Āzādī va marzʹhāyash -- jild-i 2. Istiqlāl (farhangī).

Ṣadr, Muḥammad Bāqir; Islamic philosophy; 20th century.

What is the identity of the best regime in Aristotle's Politics? Although there are a few references to the best regime in Book III, the obvious answer is the regime discussed in Books VII and VIII. Aristotle calls it the best regime on numerous occasions and discusses it at great length. Yet, this is not the complete answer. In Book IV Aristotle makes certain curious remarks on the best regime that, on examination, do not fit the best regime of Books (...) VII and VIII. They lead, instead, to the discovery of a systematic, though quiet, teaching on a very different best regime in Book III. The Politics actually contains a complicated yet coherent teaching on two best regimes. Grasping this teaching is key to arriving at a proper understanding of the distinctive character of Aristotle's political thought. (shrink)

В книге продолжается обсуждение тем, представленных в труде "Психология нравственности", изданном в 2010 году. Авторы обсуждают пути решения проблем и преодоления переживаемого нашим обществом глубокого нравственного кризиса.

Let the individuals of a population be divided into two groups with different personal habits. The core group is associated with health risk behaviors; the non-core group avoids unhealthy activities. Assume that the infected individuals of the core group can spread a contagious disease to the whole population. Also, assume that cure does not confer immunity. Here, an epidemiological model written as a set of ordinary differential equations is proposed to investigate the infection propagation in this population. In the model, (...) migrations between these two groups are allowed; however, the transitions from the non-core group into the core group prevail. These migrations can be either spontaneous or stimulated by social pressure. It is analytically shown that, in the scenario of spontaneous migration, the disease is either naturally eradicated or chronically persists at a constant level. In the scenario of stimulated migration, in addition to eradication and constant persistence, self-sustained oscillations in the number of sick individuals can also be found. These analytical results are illustrated by numerical simulations and discussed from a public health perspective. (shrink)

Les Prolegomenes a la Philosophie de Platon sont un manuel d'ecole neoplatonicien. Il s'inspire d'un modele dont Proclus a du etre l'auteur, mais l'origine de ce texte est presque surement alexandrine et doit dater de la premiere moitie du Vle siecle. Cette oeuvre est essentielle pour comprendre comment etait diffuse l'enseignement platonicien, et pour mieux saisir le mouvement des idees de l'Antiquite finissante. Dans une importante introduction, L. O. Westerink a retrace l'histoire de l'ecole d'Alexandrie et celle du genre litteraire (...) de ces introductions a Platon et a Aristote. (shrink)