Schmidt’s game and other similar intersection games have played an important role in recent years in applications to number theory, dynamics, and Diophantine approximation theory. These games are real games, that is, games in which the players make moves from a complete separable metric space. The determinacy of these games trivially follows from the axiom of determinacy for real games, $\mathsf {AD}_{\mathbb R}$, which is a much stronger axiom than that asserting all integer games are determined, $\mathsf {AD}$. One of (...) our main results is a general theorem which under the hypothesis $\mathsf {AD}$ implies the determinacy of intersection games which have a property allowing strategies to be simplified. In particular, we show that Schmidt’s $(\alpha,\beta,\rho )$ game on $\mathbb R$ is determined from $\mathsf {AD}$ alone, but on $\mathbb R^n$ for $n \geq 3$ we show that $\mathsf {AD}$ does not imply the determinacy of this game. We then give an application of simple strategies and prove that the winning player in Schmidt’s $(\alpha, \beta, \rho )$ game on $\mathbb {R}$ has a winning positional strategy, without appealing to the axiom of choice. We also prove several other results specifically related to the determinacy of Schmidt’s game. These results highlight the obstacles in obtaining the determinacy of Schmidt’s game from $\mathsf {AD}$. (shrink)

Regarded as a revisionist historian in the West, Patricia Crone, who wrote many books and articles on various subjects of early Islamic history, was a prolific researcher. The place and role of mawālī, in the Umayyad and Abbāsid society, has been one of the special topics she has been interested in since the very beginning of her academic life. Her works with a revisionist perspective have been faced many criticisms by colleagues, especially the western ones, because of her biased (...) view of the sources written by Muslim authors, her methodology, and her results. However, it is obvious that Crone’s studies on mawālī have positively or negatively affected the Eastern and Western academics in Islamic studies. This article’s main purpose is to reveal Crone’s views on mawālī in Isla-mic society and draw an outline without comment as much as possible. The paper consists of three parts. In the first part, Crone’s revisionist perspective and her works on mawālī have been explained. In the second part, her distinctive views on the mawālī and its origin have been discussed. Finally, in the third part, her findings of the position of mawālī in social, political, military, and economic life during the Rāshidun Caliphs, the Umayyads, and the Abbāsids have been introduced. This study, which tackles Crone’s views on mawālī, aims to encourage the further studies on this subject. (shrink)

Autism spectrum disorders (ASD) are thought to result in part from altered cortical excitatory-inhibitory balance; this pathophysiology may impact the generation of oscillations on EEG. We investigated premotor-parietal cortical physiology associated with praxis, which has strong theoretical and empirical associations with ASD symptomatology. 25 children with high-functioning ASD (HFA) and 33 controls performed a praxis task involving the pantomiming of tool use, while EEG was recorded. We assessed task-related modulation of signal power in alpha and beta frequency bands. Compared with (...) controls, subjects with HFA showed 27% less left central (motor/premotor) beta (18-22 Hz) event-related desynchronization (ERD) (p = 0.030), as well as 24% less left parietal alpha (7-13 Hz) ERD (p = 0.046). Within the HFA group, blunting of central ERD attenuation was associated with impairments in clinical measures of praxis imitation (r = -0.4; p = 0.04) and increased autism severity (r = 0.48; p = 0.016). The modulation of central beta activity is associated, among other things, with motor imagery, which may be necessary for imitation. Impaired imitation has been associated with core features of ASD. Altered modulation of oscillatory activity may be mechanistically involved in those aspects of motor network function that relate to the core symptoms of ASD. (shrink)

Laland and colleagues have sought to challenge the proximate–ultimate distinction claiming that it imposes a unidirectional model of causation, is limited in its capacity to account for complex biological phenomena, and hinders progress in biology. In this article the core of their argument is critically analyzed. It is claimed that contrary to their claims Laland et al. rely upon the proximate–ultimate distinction to make their points and that their alternative conception of reciprocal causation refers to phenomena that were already accounted (...) for by standard theory. (shrink)

This article draws on scientific explanations of obesity to motivate the creation of a system of paternalistic public health interventions into the obesity epidemic. Libertarian paternalists argue that paternalism is warranted in light of the cognitive limits of human decision-making abilities. There are further, specific biological limits on our capacity to choose and maintain a healthy diet. These biological facts strengthen the general motivation for libertarian paternalism. As a consequence, the creation of a system of paternalistic public health interventions into (...) the obesity epidemic is warranted. (shrink)

Three arguments are proposed against the idea that ordinary talk about the mind constitutes a folk psychology, a sort of prescientific theory which explains human behaviour and which is ripe for replacement by a neurological or computational theory with better scientific credentials. First, not all talk of the mind is introduced to explain in the way assumed by those who think that mental talk hypothesizes inner processes to explain behaviour. Second, the individuation of the behaviour which is explained by the (...) inner processes itself requires reference to ?mental? states such as intentions or desires. Consequently the project is circular. Finally, scientific theory is a practice with a history which may be matched in the case of ordinary talk of the mind. Certainly ordinary talk of motives, intentions, and thoughts may be infected by the theorizing of economists and sociologists et al., but it is impossible that all talk of the mind should be theoretical in this way. (shrink)

Introduction, by R. A. Markus.--St. Augustine and Christian Platonism, by A. H. Armstrong.--Action and contemplation, by F. R. J. O'Connell.--St. Augustine on signs, by R. A. Markus.--The theory of signs in St. Augustine's De doctrina Christiana, by B. D. Jackson.--Si fallor, sum, by G. B. Matthews.--Augustine on speaking from memory, by G. B. Matthews.--The inner man, by G. B. Matthews.--On Augustine's concept of a person, by A. C. Lloyd.--Augustine on foreknowledge and free will, by W. L. Rowe.--Augustine on free will (...) and predestination, by J. M. Rist.--Time and contingency in St. Augustine, by R. Jordan.--Empiricism and Augustine's problems about time, by H. M. Lacey.--Political society, by P. R. L. Brown.--The development of Augustine's ideas on society before the Donatist controversy, by F. E. Cranz.--De Civitate Dei, XV, 2, and Augustine's idea of the Christian society, by F. E. Cranz.--Chronological table.--Note on further reading (p. [422]-423). (shrink)

The human person makes great demands on the physician and calls for unique attention. Hence the doctor-patient relationship calls for the highest ideals of kindness, patience, trustworthiness, generosity and skill. The Catholic physician brings to these demands a specific meaning: ministering to the sick is to see Christ in them and to show Him to them.

The Model Penal Code’s ‘De Minimis’ provisions (§ 2.12) cover different kinds of case in which, for reasons of equity, a prosecution should be dismissed. An exploration of these different cases illuminates some general issues about the structure of the criminal process, and about the processes of criminalization. These include the significance of the difference between dismissing a case and acquitting the defendant, and of the distinction between offences and defences; whether criminal offences should always be so defined that they (...) specify at least a pro tanto wrong, or may sometimes legitimately specify only a prima facie wrong – and whether this is consistent with the presumption of innocence; what kinds of conduct we can properly be expected to answer for in a criminal court; and the proper division of responsibilities between legislatures, prosecutors and courts in determining what kinds of conduct are to be defined and treated as criminal wrongs. (shrink)

A categorical structure suitable for interpreting polymorphic lambda calculus (PLC) is defined, providing an algebraic semantics for PLC which is sound and complete. In fact, there is an equivalence between the theories and the categories. Also presented is a definitional extension of PLC including "subtypes", for example, equality subtypes, together with a construction providing models of the extended language, and a context for Girard's extension of the Dialectica interpretation.

Aim To study the views of people in a largely Muslim country, Kuwait, of the acceptability of a life-ending action such as physician-assisted suicide (PAS). Method 330 Kuwaiti university students judged the acceptability of PAS in 36 scenarios composed of all combinations of four factors: the patient's age (35, 60 or 85 years); the level of incurability of the illness (completely incurable vs extremely difficult to cure); the type of suffering (extreme physical pain or complete dependence) and the extent to (...) which the patient requests a life-ending procedure, euthanasia or PAS (no request, some form of request, repeated requests). In all scenarios, the patients were women who were receiving the best possible care. The ratings were subjected to cluster analysis and analyses of variance. Results Five clusters were found. For 44%, PAS was always very unacceptable, no matter what the circumstances. For 23%, it was unacceptable, but less so if the patient was older or requested it repeatedly. For 16%, it was unacceptable if the patient was young but was acceptable if the patient was elderly. For 5%, it was unacceptable if the patient had extreme pain but was acceptable if completely dependent. For 11%, it was unacceptable if the patient did not request it but acceptable if she did. Conclusion The majority of the Kuwaiti university students opposed PAS either categorically or with a slight variation according to circumstances. Nonetheless, a minority approved of PAS in some cases, particularly when the patient was elderly. (shrink)

Study of Samayasāra, treatise on Jaina philosophy by Kundakunda.

The paper argues that the rich cognitive abilities of humans are the result of a unique functional system in the human brain which is absent in the nonhuman brain. This "frontal feedback system" is suggested to have evolved in the transition from the great apes to humans and is a product of a reversal in the preferred direction of information flow in the human cortex due to the phylogenetic enlargement of the human frontal lobe. The frontal feedback system forms an (...) autonomous functional unit in the cortex whereby action-schemes in frontal cortices continually create fictitious sensory scenarios in posterior sensory cortices by manipulating the release of sensory representations there. These internal scenarios are created free of environmental constraints and reflect the human's internal cognitive and language processes. Nonhumans do not have a frontal feedback system and their internal cognitive processes are stimulus-bound. Evidence in support of the proposal is presented and some implications of the frontal feedback model for human experience are discussed. (shrink)