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    Verità storica e logica del “nonostante”. L’incontro tra Federico II e Leonardo Pisano nella riflessione storiografica

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    [IT] L’articolo analizza il celebre incontro tra Federico II di Svevia e il matematico Leonardo Pisano (Fibonacci), tradizionalmente collocato a Pisa nei primi decenni del XIII secolo, come caso esemplare per riflettere sulle forme della conoscenza storica. A partire da fonti documentarie incerte e da interpretazioni divergenti, l’episodio viene esaminato secondo due principali prospettive epistemologiche. Da un lato, l’approccio abduttivo proposto da Andrea Bonaccorsi, che interpreta la ricostruzione dell’evento come un processo inferenziale fondato sulla plausibilità delle ipotesi e sul confronto critico con le fonti. Dall’altro, la lettura simbolica di Ernst Kantorowicz, per il quale l’incontro assume un valore figurale e diventa espressione della logica del “nonostante” (trotzdem), capace di cogliere la tensione tra necessità politica e libertà intellettuale nell’agire storico. Attraverso il dialogo con autori come Charles S. Peirce, Carlo Ginzburg, Heinrich Rickert, Max Weber e Reinhart Koselleck, il contributo mette in luce la pluralità delle razionalità che operano nella storiografia: quella ipotetico-critica, orientata alla verifica e alla plausibilità, e quella simbolico-ermeneutica, attenta alla configurazione narrativa e al significato dell’azione storica. L’episodio dell’incontro tra l’imperatore e il matematico diventa così una porta d’accesso privilegiata per indagare il rapporto tra evento, interpretazione e verità storica, mostrando come la scrittura della storia si sviluppi nella tensione tra spiegazione, immaginazione e costruzione di senso. [EN] This article examines the famous encounter between Emperor Frederick II and the mathematician Leonardo of Pisa (Fibonacci), traditionally dated to Pisa in the early thirteenth century, as a case study for reflecting on the forms of historical knowledge. Starting from uncertain documentary evidence and divergent interpretations, the episode is analysed through two main epistemological perspectives. On the one hand, the abductive approach proposed by Andrea Bonaccorsi interprets the reconstruction of the event as an inferential process based on the plausibility of hypotheses and their critical testing against historical sources. On the other hand, the symbolic interpretation developed by Ernst Kantorowicz reads the encounter as a figurative expression of the logic of trotzdem (“nonetheless”), capable of capturing the tension between political necessity and intellectual freedom in historical action. Engaging with thinkers such as Charles S. Peirce, Carlo Ginzburg, Heinrich Rickert, Max Weber, and Reinhart Koselleck, the article highlights the plurality of rationalities at work in historiography: an abductive-critical rationality oriented toward verification and plausibility, and a symbolic-hermeneutic rationality attentive to narrative configuration and historical meaning. The episode of the meeting between the emperor and the mathematician thus becomes a privileged entry point for exploring the relationship between event, interpretation, and historical truth, showing how historical writing develops within the tension between explanation, imagination, and the construction of meaning

    High order nonstandard finite-difference methods

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    Nonstandard finite difference (NSFD) methods have been considered to overcome some issues of standard methods, particularly when the numerical solution must preserve important properties of the exact solution. These issues increase for high order methods. In this paper we first derive a general procedure to obtain unconditionally positive second order NSFD methods. Furthermore, by suitably adding some parameters αi within these schemes, we show that it is still possible to get positivity, and also to preserve other qualitative properties of the exact solution. In fact, for each particular problem we can get optimal values of αi that guarantee positivity, elementary stability and the minimization of the local truncation error, being possible to achieve also third order nonstandard schemes, which are not present in the literature. As an example of use, we employ the developed theory to derive positive and elementary stable NSFD methods of order one, two and three for a predator-prey model, showing their advantages over other nonstandard methods from the literature

    Cinque storie napoletane. Indagine sulle dinamiche di riproduzione delle disuguaglianze

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    Inchiesta di campo su cinque famiglie abitanti nel centro storico di Napoli con approfondimento delle carriere sociali dei componenti, dell'organizzazione e dei caratteri delle abitazioni e dell'edificio in cui abitano, rilievo degli usi ai piani terra degli edifici della zona ove è collocato il condominio

    Existence results for the Cauchy-Dirichlet problem for a class of third order hyperbolic operators

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    The paper concerns the study of the Cauchy-Dirichlet problem for a class of third order hyperbolic operators in a domain of R3. Firstly, a priori local and global estimates are established. Then, some existence results are obtained

    Doing good, staying capitalist: Business school representations of social entrepreneurship and the commitment to capitalism

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    In recent decades, social entrepreneurship (SE) has gained widespread appeal as a way to deliver sustainable social change across sectors. Within business schools, SE has been institutionalized as the pedagogy that prepares business students to solve social challenges. It has also been heralded as a way to address the “crisis of legitimacy of capitalism”. While SE has been widely studied, its role as a response to critiques of capitalism and business schools has received less attention. To address this, and drawing theoretical inspiration from Boltanski and Chiapello’s New Spirit of Capitalism, this paper explores how business schools, through their representations of SE, sustain and reproduce capitalist commitments. Using a critical discourse analysis-informed approach to analyze SE texts from elite business schools, we show how business schools' representation of SE, leveraging SE’s ontological emptiness, addresses fairness, ensures security and generates excitement and maintains commitments to capitalism. In doing so, it sheds light on the role of the business school and management education in the transformation of capitalism and underscores the limitations of the business school as a leader in addressing social challenges

    Organising the distribution of goods to country houses in Germany and England, c.1740–1800

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    The growing range and quantity of goods consumed by eighteenth-century householders did not just appear at the customer's house, yet we know remarkably little about the routes, processes and costs of transporting them between the (work)shop and the home. In this article, we start to address this lacuna through comparative analysis of consumers from the land-owning elite in Germany and England whose archives offer invaluable insights into how the many and varied things they consumed arrived at their country residences. Drawing on correspondence, bills and account books, we discuss the ways in which different goods were packaged for transportation, the choices made in terms of the mode and route by which goods were carried, the role of agents in cities, and the costs that all of these incurred for the householder. Bringing together an analysis of Germany and England allows us to assess the common concerns and processes involved in moving purchases to the customer's house. These commonalities are apparent despite differences in retail networks, local state involvement, topography and geography. Overall, we argue that both countries had systems of logistics that were well integrated and allowed for the (generally) safe movement of consumers goods, often over long distances

    Narrative review on artificial intelligence in regenerative pediatric and congenital heart surgery: clinical applications and the path to responsible innovation

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    Artificial intelligence (AI) is expected to transform pediatric and congenital cardiac surgery by enhancing diagnosis, refining risk assessment, optimising perioperative planning, and supporting clinical decision-making. In congenital heart defects, the complexity and diversity of conditions, combined with the scarcity of specialist expertise, create a strong case for AI integration in regeneration and repair. Advances in machine learning, deep learning, and large language models offer the potential to analyze multimodal clinical and imaging data at scale, identify patterns beyond human detection, and deliver timely, personalized recommendations. Early applications in imaging, telemedicine, and decision support demonstrate promising performance, particularly in improving diagnostic consistency and prioritising high-risk patients for intervention. However, most artificial intelligence tools remain at the prototype stage, with limited multi-centre validation and challenges in generalisability, interpretability, and data quality. Ethical and governance frameworks, such as the FUTURE-AI consensus, emphasize fairness, transparency, and robustness as essential for safe deployment, especially in vulnerable pediatric populations. This review outlines current and emerging applications of AI in the care and repair of pediatric and congenital heart defects, highlights opportunities for improving outcomes and equity, and discusses the critical steps needed for responsible, clinician-led integration of artificial intelligence into surgical and perioperative practice. Key Words: artificial intelligence; clinical decision support; congenital heart defects; deep learning; large language models; machine learning; pediatric cardiac surgery; regenerative cardiac surgery; regenerative medicine; surgical repai

    Top Tips 3. Parents' attitudes to children's digital activity

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    This infographic presents some key findings from the Toddlers, Tech and Talk study about parents' attitudes towards their young children's use of digital technology

    The Digital Wanderlust: Exploring How Tourism Short Video Cyberloafing Translates into Travel Intentions

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    Despite the prevalence of tourism short-video cyberloafing (TSVC) in digital media consumption, its impact on tourism behavior remains underexplored. This study investigates how incidental exposure to tourism short videos during non-work-related online activities influences travel intention through the mediating roles of destination image expectation and desired destination value. Grounded in the Stimulus-Organism-Response (SOR) framework and expectancy theory, it examines the psychological mechanisms shaping pre-travel perceptions and decision-making. Based on a sample of 387 respondents, the findings reveal that TSVC positively influences destination image expectation, desired destination value, and travel intention. Destination image expectation enhances desired destination value and travel intention, while desired destination value also drives travel intention. Additionally, destination image expectation and desired destination value mediate the TSVC-travel intention relationship, with a sequential mediation effect observed. This study advances tourism research by introducing TSVC as a novel construct, extending SOR and expectancy theory to passive digital media contexts. Keywords: tourism short video cyberloafing; destination image expectation; desired destination value; travel intention; cyberloafing behavio

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