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)

Benedetto Croce was a historian, humanist, political figure, and the foremost Italian philosopher of the early twentieth-century. A Croce Reader brings together the author's most important works across the fields of aesthetics, philosophy, history, literary criticism, and the Baroque and presents the "other" Croce that has been erased by scholarly tradition, including by Croce himself. Massimo Verdicchio traces the progress of Croce as a thinker, focusing on his philosophy of absolute historicism and its aesthetic implications. (...) Unlike other anthologies, A Croce Reader includes essays from the Aesthetics of 1902 and key studies on Vico, Hegel, and Pirandello. Verdicchio's masterful translation of the source material welcomes specialists and non-specialists alike to discover the "other" Croce for themselves. (shrink)

Can rational agents coordinate in simultaneous interactions? According to standard game theory they cannot, even if there is a uniquely best way of doing so. To solve this problem we propose an argument in favor of ‘belief-less reasoning’, a mode of inference that leads to converge on the optimal solution ignoring the beliefs of the other players. We argue that belief-less reasoning is supported by a commonsensical Principle of Relevant Information that every theory of rational decision must satisfy. We show (...) that this principle can be used to justify (some versions of) team reasoning, as well as other schemes of practical reasoning that do not involve sophisticated meta-representation. (shrink)

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)

Sartre's conception of bad faith suggests that every desire to be someone in love is self-deceptive in the attempt to define my factual being. Departing from İlham Dilman's discussion of personal identity, I argue that this view on selfhood is inattentive to the kind of personal and moral reflection inherent in asking who I am. There is a temptation in love to deceive myself and you by renouncing responsibility. Yet the concept also embodies demands that allow me to continuously shape (...) myself into a loving subject by scrutinising my responses and by asking whether they are expressive of love or not. (shrink)

Le lettere che compongono il carteggio intercorso fra Benedetto Croce e Giosue Carducci sfuggono, per l'una e l'altra parte, alle classificazioni dell'epistolografia e vari sono i motivi: la limitata consistenza delle lettere, in tutto ventiquattro, inclusive di carte da visita e telegramma, che si susseguono, talvolta a lunghi intervalli e in numero decrescente, nell'arco di tempo 1887-1906; la distanza anagrafica che si dà tra i due interlocutori: l'uno, il 'poeta vate' che alla data dell'incontro, pur ancora in piena attività, (...) inizia o ha già iniziato la sua parabola di lento declino; l'altro, il brillante dotto erudito e futuro filosofo, ma già orientato a studiare la scienza estetica attraverso il filosofare sulla storia, che, nel pieno delle forze intellettuali, percorre la propria con agilità. Non frammenti di vita privata, non sfumature psicologiche, non ideologie politiche, non teorie filosofiche emergono da questo carteggio bensì, salvo rari gesti di cortesia, esigenze di ordine intellettuale, di ricerca e di studio. L'impressione che se ne ricava è comunque quella di entrare nell''officina' dei due 'grandi operai' della cultura. E, sotto questo aspetto, il carteggio acquista interesse, innanzi tutto per la statura dei personaggi, due titani del sapere, e, in secondo luogo, proprio in ragione di quei tempi 'vuoti' o 'morti' che interrompono il flusso temporale dello scambio di lettere, ma che si rivelano 'pieni' ove si ricorra alla saggistica di entrambe le parti, che ha attinenza con gli argomenti trattati e che instaura un 'dialogo' tra lettere e opere. Un dialogo che trova anche consistenza e validità attraverso il manufatto, il 'libro', ovvero le edizioni a stampa delle proprie opere delle quali i due interlocutori avrebbero fatto dono l'un l'altro. (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)

Previous studies have found that narrative input conveyed through different media influences the structure and content of children’s narrative retellings. Visual, televised narratives appear to elicit richer and more detailed narratives than traditional, orally transmitted storybook media. To extend this prior work and drawing from research on narrative elaboration, the current study’s main goal was to identify the core plot component differences (the who, what, where, when, why, and how of a story) between children’s retellings of televised versus traditional storybook (...) narratives. However, because children also differ individually in their IQ, we further incorporated this variable into our analysis of children’s narrative retellings. For our purpose, a novel coding schema was developed, following and extending the existing narrative elaboration approaches. Participants were 46 typically developing children aged 4–5 years from Germany. The current study incorporated two narrative input conditions to which children were randomly assigned: in the video condition, children watched a non-verbal, visually conveyed, televised story from a DVD; and in the book condition, children read the story with an adult and experienced an orally conveyed version in the form of a book with minimal accompanying pictures. In both conditions, the same story was conveyed. After including IQ as a covariate in our analyses, results show that the children from the video condition gave significantly more elaborated retellings, particularly across the who, what, and where (sub-)components. Differences between the conditions in the component when, how and why did not reach statistical significance. Our findings indicate that different media types entail differential cognitive processing demands of a story, resulting in type-specific memories and narratives. The effect of different medial conditions was significant and persisted when individual differences in cognitive development were considered. Consequences for children’s development, education, and interaction with and within today’s digital world are discussed. (shrink)

Originally published in English in 1950 this is one of the most revealing works by one of Italy's foremost philosophers of the 20th century, who was also a courageous and effective opponent of Fascism. Following the Allied landing at Salerno, Croce was called upon by kings, princes, generals and politicians and asked to decide question of vital importance to Italy. This book records the notes Croce made on political matters in 1943 and 1944 and includes some of the (...) many documents Croce possessed which referred to the attempt in Naples to form a Corps of Italian volunteers. (shrink)

During evaluative conditioning, a neutral conditional stimulus becomes pleasant or unpleasant after pairings with a positive/negative unconditional stimulus. Measures of US expectancy are...

Abstract What sense are we to make of the promise of love against the contingency of human life? I discuss two replies to this question: (1) the suggestion that marriage, based on the probable success of this kind of relationship, is a more or less worthwhile endeavour (cf. Moller and Landau), and (2) Martha Nussbaum's Aristotelian proposal that we only live life fully if we embrace aspects of life, such as loving relationships, that are vulnerable to fortune. I show that (...) both responses, in different ways, depend on the presupposition that the sense of our promises to love is dependent on our ability to make predictions. The philosophers I discuss assume an epistemological standpoint from which we may attempt to judge whether it is in our general interest to love. I argue that embracing such a perspective by itself leads our attention away from the kind of personal and moral engagement in other people of which our promises to love are expressive. From the perspective of love, the attempt to calculate the risks and gains of loving itself appears as a moral failure to be present to the reality of other people. (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.

Review of The Path to Hidden Knowledge, art exhibition curated by Nina Kokkinen, 3.6.–11.10.2020 at Villa Gyllenberg, Helsinki.

All effective communication is based on the participants trusting that they share their basic orientations to the world – that is, they have a common ground. In this paper, however, we examine situations in which such trust is lacking. Drawing on conversation–analytic methodology and on 30 hours of video data featuring persons with dementia and their caregivers in a Swedish-language daycare center in Finland, we consider some of the social consequences resulting from a lack of trust. Our analysis focused on (...) three different interactional contexts, highlighting the relevance of different facets of the participants’ common ground. These facets are anchored in the deontic, epistemic, and emotional orders, respectively. We show that, with regard to each order, a lack of trust in the existence of common ground has drastic consequences, leading to problems related to getting one’s will acknowledged, a scarcity of conversational partners, and a lack of resources to maintain affection. (shrink)

In this article, we explore the organization of assistance in multilingual interaction in Swedish residential care. The data that form the basis for the study cover care encounters involving three residents with a language background other than Swedish, totalling 13 hours and 14 minutes of video documentation. The empirical data consists of a collection of 134 instances where residents seek assistance with the realization of a practical action. For this article, three examples that involve the manipulation of an object have (...) been selected for analysis. We use the concept of ‘recruitment’ to encompass the various methods by which assistance is sought in the care encounter. In the first example, the need for assistance concerns the transfer of an object that is recognizable and physically available for both participants. This, in combination with the resident’s gestural work that pinpoints the description of the action, facilitates its realization. In the second and third examples, the realization of the action becomes more difficult because the object involved is not recognizable for the caregiver. The article highlights the collaborative ways in which residents manage to support their talk through bodily practices, and the strong and empathetic engagement with which caregivers become involved in interpreting the meaning of these practices. Finally, we discuss the implications of our findings for care provision in multilingual circumstances. (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)

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)

Negative conditional stimulus valence acquired during fear conditioning may enhance fear relapse and is difficult to remove as it extinguishes slowly and does not respond to the instruction that unconditional stimulus presentations will cease. We examined whether instructions targeting CS valence would be more effective. In Experiment 1, an image of one person was paired with an aversive US, while another was presented alone. After acquisition, participants were given positive information about the CS+ poser and negative information about the CS− (...) poser. Instructions reversed the pattern of differential CS valence present during acquisition and eliminated differential electrodermal responding. In Experiment 2, we compared positive and negative CS revaluation by providing positive/negative information about the CS+ and neutral information about CS−. After positive revaluation, differential valence was removed and differential electrodermal responding remained intact. After negative revaluation, differential valence was strengthened and differential electrodermal responding was eliminated. Unexpectedly, the instructions did not affect the reinstatement of differential electrodermal responding. (shrink)