Symbolic arithmetic is fundamental to science, technology and economics, but its acquisition by children typically requires years of effort, instruction and drill1,2. When adults perform mental arithmetic, they activate nonsymbolic, approximate number representations3,4, and their performance suffers if this nonsymbolic system is impaired5. Nonsymbolic number representations also allow adults, children, and even infants to add or subtract pairs of dot arrays and to compare the resulting sum or difference to a third array, provided that only approximate accuracy is required6–10. Here (...) we report that young children, who have mastered verbal counting and are on the threshold of arithmetic instruction, can build on their nonsymbolic number system to perform symbolic addition and subtraction11–15. Children across a broad socio-economic spectrum solved symbolic problems involving approximate addition or subtraction of large numbers, both in a laboratory test and in a school setting. Aspects of symbolic arithmetic therefore lie within the reach of children who have learned no algorithms for manipulating numerical symbols. Our findings help to delimit the sources of children’s difficulties learning symbolic arithmetic, and they suggest ways to enhance children’s engagement with formal mathematics. We presented children with approximate symbolic arithmetic problems in a format that parallels previous tests of non-symbolic arithmetic in preschool children8,9. In the first experiment, five- to six-year-old children were given problems such as ‘‘If you had twenty-four stickers and I gave you twenty-seven more, would you have more or less than thirty-five stickers?’’. Children performed well above chance (65.0%, t1952.77, P 5 0.012) without resorting to guessing or comparison strategies that could serve as alternatives to arithmetic. Children who have been taught no symbolic arithmetic therefore have some ability to perform symbolic addition problems. The children’s performance nevertheless fell short of performance on non-symbolic arithmetic tasks using equivalent addition problems with numbers presented as arrays of dots and with the addition operation conveyed by successive motions of the dots into a box (71.3% correct, F1,345 4.26, P 5 0.047)8.. (shrink)

In learning mathematics, children must master fundamental logical relationships, including the inverse relationship between addition and subtraction. At the start of elementary school, children lack generalized understanding of this relationship in the context of exact arithmetic problems: they fail to judge, for example, that 12 + 9 - 9 yields 12. Here, we investigate whether preschool children’s approximate number knowledge nevertheless supports understanding of this relationship. Five-year-old children were more accurate on approximate large-number arithmetic problems that involved an inverse transformation (...) than those that did not, when problems were presented in either non-symbolic or symbolic form. In contrast they showed no advantage for problems involving an inverse transformation when exact arithmetic was involved. Prior to formal schooling, children therefore show generalized understanding of at least one logical principle of arithmetic. The teaching of mathematics may be enhanced by building on this understanding. (shrink)

Nonsymbolic comparison tasks are commonly used to index the acuity of an individual's Approximate Number System (ANS), a cognitive mechanism believed to be involved in the development of number skills. Here we asked whether the time that an individual spends observing numerical stimuli influences the precision of the resultant ANS representations. Contrary to standard computational models of the ANS, we found that the longer the stimulus was displayed, the more precise was the resultant representation. We propose an adaptation of the (...) standard model, and suggest that this finding has significant methodological implications for numerical cognition research. (shrink)

Medical decision-making on behalf of intellectually and developmentally disabled (IDD) patients amounts to a critical challenge, one which has been widely discussed by bioethicists, medical, and le...

Eyewitnesses to crimes sometimes search for a culprit on social media before viewing a police lineup, but it is not known whether this affects subsequent lineup identification accuracy. The present online study was conducted to address this. Two hundred and eighty-five participants viewed a mock crime video, and after a 15–20 min delay either viewed a mock social media site including the culprit, viewed a mock social media site including a lookalike, or completed a filler task. A week later, participants (...) made an identification from a photo lineup. It was predicted that searching for a culprit on social media containing the lookalike would reduce lineup identification accuracy. There was a significant association between social media exposure and lineup accuracy for the Target Present lineup, but for the Target Absent lineup there was no significant association with lineup identification accuracy. The results suggest that if an eyewitness sees a lookalike when conducting a self-directed search on social media, they are less likely to subsequently identify the culprit in the formal ID procedure. (shrink)

The article provides a systems-theoretical analysis of the Cartoon Crisis and the way the Danish Prime Minister, Anders Fogh Rasmussen, responded to the expectations of Muslim groups in particular and the business community. The analysis shows that the Prime Minister followed a single strategy throughout the crisis, namely, insisting on a secular understanding of the separation of politics and religion. Religion, in this view, should not interfere in politics, and politics should not interfere in religion. The main outline of the (...) analysis shows that Prime Minister Rasmussen, paradoxically, found himself using a theological distinction in order to make a political argument. In doing so, Rasmussen shows, in contrast to his former argumentations, that modern, so-called `secular' politics is actually based on a religious Protestant understanding of the separation of the two realms, though the use Rasmussen made of this separation remains political. (shrink)

A simple model for the description of atomic and ionic species with spectra exhibiting a quantum defect is solved using the Lie algebra su(1, 1). The quantum defect of bound states is related to the phase shift of scattering states. The resonances are discussed in terms of the nonunitary representations of this algebra.

Montesquieu and the Spirit of Rome argues that the eighteenth-century French author Charles-Louis de Secondat, Baron de La Brède et de Montesquieu (1689-1755) developed a novel, comprehensive account of Roman history that framed his new political science and grounded his political teachings. Rome's legacy in early-modern thought turns on the work of Montesquieu, and through Rome Montesquieu articulated the strengths and weaknesses of the modern state-the moderation that can distinguish it and sources of extremism that must haunt it. This book (...) is the first to unify Montesquieu's Roman thoughts; it is the first to reconstruct the Rome that was one of his most powerful legacies in the 18th and 19th centuries. Montesquieu and the Spirit of Rome restores Rome to its proper place at the peak of Montesquieu's thought and Montesquieu's thought to its proper place in the history of classical study. It treats Montesquieu as what he claimed to be - a jurist, a poet, a historian, and a political writer of the first rank, ad it revives his hard-nosed defence of moderation. (shrink)

In his political thought, seventeenth- and eighteenth-century Italy’s premier jurist, Gian Vincenzo Gravina, adopted a Hobbesian state of nature, a Hobbesian social contract, and a Hobbesian idea of law as collective will; he fused these ideas with the Roman legal tradition, a tradition that he trained in and later ordered when he wrote his masterpiece, the Three Books on the Origins of the Civil Law. But Gravina was more than a Roman Hobbesian. While he held a Hobbesian view of political (...) legitimacy, he also held an anti-Hobbesian view of human life’s true ends. Gravina set out to restore these true ends – reason, virtue, and internal tranquility – and to do that he turned to Plato. In synthesizing Hobbes’s legal innovations with prior understandings of law, Gravina demonstrates just how far those innovations reached in eighteenth-century Europe. (shrink)

It is commonly assumed that Kant is indebted to Aristotle not to Plato. In this paper we argue, however, that the following four central topics in Kant's philosophy must be recognized as having Platonic roots. 1. The idea that metaphysics is a system of synthetic apriori judgements and the idea that such judgments require pure intuition. 2. The idea that geometrical objects have a certain purposiveness. 3. The notion of dialectic. 4. The notion of ideas and their role in the (...) sphere of cognition and morality. (shrink)

Considerable heterogeneity among pediatric chronic pain patients may at least partially explain the variability seen in the response to behavioral therapies. The current study tested whether autistic traits and attention-deficit/hyperactivity disorder symptoms in a clinical sample of children and adolescents with chronic pain are associated with socioemotional and functional impairments and response to acceptance and commitment therapy treatment, which has increased psychological flexibility as its core target for coping with pain and pain-related distress. Children and adolescents aged 8–18 years were (...) recruited. Patients and their parents completed questionnaires pre- and post-ACT of 17 sessions. Correlational analyses and mixed-effects models were used to assess the role of autistic traits and ADHD symptoms in pretreatment functioning and ACT-treatment response. Outcome variables were degree to which pain interfered with daily activities, socioemotional functioning, psychological inflexibility, and pain intensity. Autistic traits and ADHD symptoms, pain frequency, and pain duration were measured at pretreatment only. Higher autistic traits were associated with greater pain interference, higher depression, and greater psychological inflexibility. Higher ADHD symptomatology was associated with greater pretreatment pain interference, lower emotional functioning, greater depression, and longer duration of pain. Across patients, all outcome variables, except for sleep disturbances and school functioning, significantly improved from pre- to post-ACT. Higher autistic traits were associated with greater pre- to post-ACT improvements in emotional functioning and sleep disturbance and non-significant improvements in pain interference. ADHD symptomatology was not associated with treatment outcome. The current results showed that neuropsychiatric symptoms in pediatric chronic pain patients are associated with lower functioning, particularly pain interfering with daily life and lower socioemotional functioning. The results suggest that not only pediatric chronic pain patients low in neuropsychiatric symptoms may benefit from ACT, but also those high in autism traits and ADHD symptoms. With the present results in mind, pediatric chronic pain patients higher in autistic traits may actually derive extra benefit from ACT. Future research could assess whether increased psychological flexibility, the core focus of ACT, enabled those higher in autism traits to cope relatively better with pain-related distress and thus to gain more from the treatment, as compared to those lower in autism traits. Moreover, to address specific effects of ACT, inclusion of an appropriate control group is key. (shrink)

When the language-dominant hemisphere is damaged by a focal lesion, the brain may reorganize the language network through functional and structural changes known as adaptive plasticity. Adaptive plasticity is documented for triggers including ischemic, tumoral, and epileptic focal lesions, with effects in clinical practice. Many questions remain regarding language plasticity. Different lesions may induce different patterns of reorganization depending on pathologic features, location in the brain, and timing of onset. Neuroimaging provides insights into language plasticity due to its non-invasiveness, ability (...) to image the whole brain, and large-scale implementation. This review provides an overview of language plasticity on MRI with insights for patient care. First, we describe the structural and functional language network as depicted by neuroimaging. Second, we explore language reorganization triggered by stroke, brain tumors, and epileptic lesions and analyze applications in clinical diagnosis and treatment planning. By comparing different focal lesions, we investigate determinants of language plasticity including lesion location and timing of onset, longitudinal evolution of reorganization, and the relationship between structural and functional changes. (shrink)

Very shortly before the end of Book 11 of the Aeneid, Turnus, hearing of Camilla's death, is forced to abandon his ambush in order to fall back to the city. Just after he leaves the wooded gorge, Aeneas passes through it unscathed with his company. Both then head toward the city walls. Virgil marks this near miss of the two commanders by an acrostic :ille furens deserit obsessos collis, nemora aspera linquit.uix e conspectu exierat campumque tenebat,cum pater Aeneas saltus (...) ingressus apertosexsuperatque iugum siluaque euadit opaca.sic ambo ad muros rapidi totoque ferunturagmine nec longis inter se passibus absunt. (shrink)

I formulate an account, in terms of essence and ground, that explains why atomic Russellian propositions have the truth conditions they do. The key ideas are that (i) atomic propositions are just 0-adic relations, (ii) truth is just the 1-adic version of the instantiation (or, as I will say, holding) relation (Menzel 1993: 86, note 27), and (iii) atomic propositions have the truth conditions they do for basically the same reasons that partially plugged relations, like being an x and a (...) y such that Philip gave x to y, have the holding conditions they do. The account is meant to be mainly of intrinsic interest, but I hope that it goes some distance toward answering an objection to classical theories of propositions put forward by King (2014), who writes that ‘since the classical conception of propositions as things that have truth conditions by their very natures and independently of minds and languages is incapable of explaining how or why propositions have truth conditions, it is unacceptable’ (2014: 47). Propositions do have their truth conditions ‘by their very natures’ and ‘independently of minds and languages’. But a fact about a given entity can hold by the very nature of that entity without being a fundamental fact. I argue that this is plausibly the case for atomic Russellian propositions and the facts about their truth conditions. A fact about the truth conditions of such a proposition holds by the very nature of the given proposition but is metaphysically grounded in facts about that proposition’s parts and their essences. If my account is correct, then the supposedly intractable problem of explaining why the given propositions have the truth conditions they do reduces to the problem of explaining why relations have the holding essences they do, which few seem to have found worrisome . (shrink)

This volume represents the state of the art in research on the controversial Muslim legal scholar, theologian and man of letters Ibn azm of Cordoba (d. 456/1064), who is widely regarded as one of the most brilliant minds of Islamic Spain.

This is the first book to unpack the legal and ethical issues surrounding unauthorised intimate examinations during labour. The book uses feminist, socio-legal and philosophical tools to explore the issues of power, vulnerability and autonomy. The collection challenges the perception that the law adequately addresses different manifestations of unauthorised medical touch through the lens of women's experiences of unauthorised vaginal examinations during labour. The book unearths several broader themes that are of huge significance to lawyers and healthcare professionals such as (...) the legal status of women and their bodies. The book raises questions about women's experiences during childbirth in hospital settings. It explores the status of women's bodies during labour and childbirth where too easily they become objectified, and it raises important issues around consent. The book highlights links to the law on sexual offences and women's loss of power under the medical gaze. The book includes contributions from leading feminist philosophers, medical professionals, and academics in medicine and law, and offers pioneering analysis relevant to lawyers and healthcare professionals with an interest in medical law and ethics; feminist theory; criminal law; tort law; and human rights law. (shrink)

Several hundred thousand intellectually talented 12-to 13-year-olds have been tested nationwide over the past 16 years with the mathematics and verbal sections of the Scholastic Aptitude Test (SAT). Although no sex differences in verbal ability have been found, there have been consistent sex differences favoring males in mathematical reasoning ability, as measured by the mathematics section of the SAT (SAT-M). These differences are most pronounced at the highest levels of mathematical reasoning, they are stable over time, and they are observed (...) in other countries as well. The sex difference in mathematical reasoning ability can predict subsequent sex differences in achievement in mathematics and science and is therefore of practical importance. To date a primarily environmental explanation for the difference in ability has not received support from the numerous studies conducted over many years by the staff of Study of Mathematically Precocious Youth (SMPY) and others. We have studied some of the classical environmental hypotheses: attitudes toward mathematics, perceived usefulness of mathematics, confidence, expectations/ encouragement from parents and others, sex-typing, and differential course-taking. In addition, several physiological correlates of extremely high mathematical reasoning ability have been identified (left-handedness, allergies, myopia, and perhaps bilateral representation of cognitive functions and prenatal hormonal exposure). It is therefore proposed that the sex difference in SAT-M scores among intellectually talented students, which may be related to greater male variability, results from both environmental and biological factors. (shrink)

This study aims to analyze what drives and prevents the purchasing of eco-friendly products across different consumer groups and develops a conceptual model embracing the positive altruistic, positive ego-centric, and negative ego-centric antecedents of eco-friendly product purchase intention and behavior. We empirically validate the conceptual model for green and non-green consumers. Data are analyzed using structural equation modeling and multi-group analysis of the two groups. The results confirm the relevance of the determining factors in the model and show significant differences (...) in eco-friendly product purchasing patterns between green and non-green consumers. Altruistic motives are more important for green than for non-green consumers. Negative ego-centric motives affect the purchase intentions of non-green consumers more than the intentions of green consumers, whereas the impact of negative motives on behavior is stronger for green than for non-green consumers. The first contribution of this paper is the development and testing of a parsimonious model of eco-friendly products purchasing that embraces both positive and negative antecedents, which have been theoretically suggested in the past but have rarely been empirically tested together. The second contribution of this study is that it develops insight into the specific antecedents of eco-friendly products purchasing for green and non-green consumers to assess potential similarities and differences in eco-friendly products purchasing process, the hypothesized antecedents, their impact on eco-friendly products purchase intention and behavior, and the intention–behavior relation. (shrink)

The understanding of the meaning of Jewish identity in Clement Greenberg's work follows the deep relationship between the conception of Modernism and the interpretation of Franz Kafka's short story The Great Wall of China. Greenberg, whose role as one of the first american popularizers of Kafka's narratives has been relevant, ascribes to the bohemian author an halachic reasoning closely related to his jewish origins. This strictly firm and normative mindset finds resemblances in Greenberg's modernist theory and critical practice, which, according (...) to Susan Noyes-Platt's study, could be interpreted as a derivation, in many aspects, of his Jewish origins and, particularly, as the critic's need to preserve his intellectual thinking from the nazi-fascist advance. Moreover, the article proposes to interpret Greenberg's purism as a form of messianism, that is a faith in a future, but indefinitely belated, absolute purification of the medium. (shrink)

This article deals with the concept of vulnerability in social work and how social work students understand the concept of professionalism. The article is based on an empirical study of social worker students and on analysis of the literature used in the education. Theoretically, the article rests upon vulnerability theory as elaborated by Martha Fineman. The analysis suggests that the social worker students share an understanding of the client as vulnerable, and of the social worker as not vulnerable. This entails (...) a view that the social worker is objective and somewhat distanced from his/her clients. The article argues that this understanding runs the risk of producing non-reflexive social work practitioners that are not aware of their own vulnerable position. In conclusion, we state that an understanding of professionalism centred on a shared vulnerability of all beings could bridge the often-used dichotomous understanding of the social worker as either “helper” or “authoritative bureaucrat” and thus lead to a more resilient concept of professionalism. (shrink)

In most countries in the global north, social differences in health status and disease prevalence and outcomes are persistent and growing. This is also the case in the welfare states of Scandinavia. In Denmark, the empirical point of departure for this article, income inequality is relatively low and social mobility is generally considered to be high. One of the ideals of the Danish welfare state is that all citizens have free and open access to the tax-funded health-care system. All Danish (...) citizens can register at a general practice, which serves as the gatekeeper for more specialized health-care... (shrink)

Este artículo discute las opiniones de Ibn Ḥazm de Córdoba jurista y teólogo, acerca de la homosexualidad. Aunque se hace referencia a su obra literaria Ṭawq al-ḥamāma, rica en anécdotas sobre atracción homoerótica, el artículo se centra en su voluminosa obra legal zahirí Kitāb al-Muḥallā y analiza el razonamiento legal de Ibn Ḥazm sobre la homosexualidad tanto masculina como femenina comparándola con la de otros juristas, en particular, malikíes.A diferencia de sus contemporáneos malikíes, Ibn Hazm mantiene que la homosexualidad no (...) debe equipararse a la fornicación que incurre en la pena de muerte. Por el contrario, aboga por el relativamente suave castigo de diez latigazos por prácticas homosexuales, basado en su interpretación de las fuentes reveladas tal y como se expone en este artículo.Aunque algunos autores modernos han insinuado que el propio Ibn Ḥazm era homosexual, él condena categóricamente las relaciones entre miembros de un mismo sexo y mantiene que los homosexuales deben reformarse. (shrink)

The so-called Final Ranking of the Philebus offers Socrates’ final evaluation of the relative merits of pleasure and reason in the best life. I begin by examining two common lines of interpretation as they address the criterion according to which the final ranking is organized. I then discuss the role ‘similarity’ has in organizing the investigation throughout the dialogue, from the initial comparison of the two lives (of reason and pleasure singly) down through the final ranking. I then consider the (...) thematic discussions of pleasure and reason separately, arguing that their treatments display an intriguing structural similarity. Next, I propose my own reading of the final ranking, whereby the ‘dependence’ relation at work in those two specific discussions may be see as the through-line of all (now five) tiers of the final ranking. I conclude by suggesting that this interpretation is able to preserve what is worthwhile in the two traditional lines of interpretation, while avoiding the pitfalls that tend to accompany them. (shrink)

Engaging with the philosophical writings of Iris Murdoch, we submit that there are difficulties associated with providing a good description of morality that are intimately connected with difficulties in understanding other human beings. We suggest three senses in which moral philosophical reflection needs to account for our understanding of others: (1) the failure to understand someone is not merely an intellectual failure, but also engages us morally; (2) the moral question of understanding is not limited to the extent to which (...) we understand a particular person, but also presents itself in how we picture difficulties in understanding people; and (3) “philosophical pictures of morality” fundamentally shape the conceptual framework we use to investigate morality, as well as the analysis of morality we find illuminative and satisfactory. Exploring the implications of these claims, we ask what it means to think of others as the same, or as different, from ourselves. We then consider the ethical significance of finding, or not finding, our feet in our encounters with others, dwelling on how the metaphor of movement reveals one way in which we are never at peace in the exploration of morality. (shrink)

David Lewis defends the following "non-circular definition of personhood": "something is a continuant person if and only if it is a maximal R-interrelated aggregate of person-stages. That is: if and only if it is an aggregate of person-stages, each of which is R-related to all the rest (and to itself), and it is a proper part of no other such aggregate." I give a counterexample, involving a person who is a part of another, much larger person, with a separate mental (...) life. I then offer an easy repair, which preserves the virtues of Lewis's definition without introducing any new vices. (shrink)

Este artículo estudia la visión que Ibn Ḥazm de Córdoba tenía del concepto de fiṭra, que aparece en el Corán y en algunas tradiciones exegéticas. Basándose en este texto, Ibn Ḥazm afirma que todos los seres humanos nacen musulmanes, incluso los idólatras y otras clases de infieles, y que todos han de ser considerados musulmanes hasta que alcancen la mayoría de edad. En ese momento de sus vidas han de elegir entre reafirmar su fe y, si no son hijos de (...) musulmanes, de elegir entre la religión en la que han nacido o renunciar a ella. Su decisión afectará a su destino en el Más Allá. La creencia de Ibn Ḥazm de que todos los niños son musulmanes hasta la edad en que puedan discernir y, por tanto, de que en caso de que mueran niños irán al Paraíso, tiene también implicaciones legales y, a través de ellas, se puede observar cómo actúan los principios Ẓāhiríes. Ibn Ḥazm muestra una tendencia a otorgar a los musulmanes la custodia de niños no musulmanes, así como a evitar que los nacidos musulmanes queden desvinculados de su religión. Ese es el caso de los niños expósitos o cuya paternidad es dudosa. Aunque, en general, no requiere que los niños no musulmanes fallecidos, que en el fondo son considerados creyentes, sean enterrados de acuerdo con el rito islámico, ordena que un niño, cuyos padres no sean musulmanes y hayan sido hechos cautivos, reciba un entierro musulmán. Aunque, a primera vista, estas normas parezcan confirmar las afirmaciones de Goldziher sobre «el fanatismo personal contra los seguidores de otras religiones» de Ibn Ḥazm, se observa también que, según su punto de vista, la indemnización que se debía pagar por la lesión del feto de una mujer no musulmana era igual al que le correspondía a una musulmana que hubiese perdido su hijo en las mismas circunstancias. (shrink)

Dieser Band lotet vor dem Hintergrund einer krisenhaften Gegenwart das Verhältnis von Verletzbarkeit und Institutionen aus. Im Fokus stehen dabei die Fragen, wie Dimensionen der Verletzbarkeit durch Anrufungen und soziale, politische, kulturelle Praktiken (doing vulnerability) institutionell hergestellt und perpetuiert werden, in welchen Bedeutungszusammenhängen sie verankert und verstetigt sind und wie Anrufungen der Verletzbarkeit schließlich auch provoziert und subvertiert werden können. Institutionen werden dabei nicht als homogene Gebilde, sondern als Bündelung von Kräften verstanden, die es immer wieder neu zu entwerfen, zu (...) imaginieren, zu erstreiten und zu verteidigen gilt. (shrink)