Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.

This paper confronts Zagzebski’s exemplarism with the intertwined debates over the conditions of exemplarity and the unity-disunity of the virtues, to show the advantages of a pluralistic exemplar-based approach to moral education (PEBAME). PEBAME is based on a prima facie disunitarist perspective in moral theory, which amounts to admitting both exemplarity in all respects and single-virtue exemplarity. First, we account for the advantages of PEBAME, and we show how two figures in recent Italian history (Giorgio Perlasca and Gino Bartali) satisfy (...) Blum’s definitions of ‘moral hero’ and ‘moral saint’ (1988). Then, we offer a comparative analysis of the effectiveness of heroes and saints with respect to character education, according to four criteria derived from PEBAME: admirability, virtuousness, transparency, and imitability. Finally, we conclude that both unitarist and disunitarist exemplars are fundamental to character education; this is because of the hero's superiority to the saint with respect to imitability, a fundamental feature of the exemplar for character education. (shrink)

The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th-century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: Castelnuovo, Enriques, and Severi. We then bring into focus their distinctive conception of (...) rigor and intuition. Unlike what is often assumed today, from their perspective, rigor is neither opposed to intuition nor understood as a unitary phenomenon – Enriques distinguishes between small-scale rigor and large-scale rigor and Severi between formal rigor and substantial rigor. Finally, we turn to the notion of mathematical objectivity. We draw from our case study in order to advance a multi-dimensional analysis of objectivity. Specifically, we suggest that various types of rigor may be associated with different conceptions of objectivity: namely, objectivity as faithfulness to facts and objectivity as intersubjectivity. (shrink)

If Annette Baier is right that ‘some degree of trust is … the very basis of morality” (Baier 2004, 180) , it is surprising that a philosopher so interested in moral psychology and interpersonal relationships such as Iris Murdoch does not explicitly discuss trust in her work. However, on closer inspection, Murdoch’s proposal of an ethics focused on realism, unselfing and attention crucially depends upon the possibility of trust – trust in reality, and in one’s own capacity for moral vision. (...) Connecting Murdoch's project with feminist philosophy and especially feminist epistemology, and drawing on the philosophy of trust developed by C. Thi Nguyen and Karen Jones, this chapter argues for a vision of 'trust in the world' implicit in Murdoch's work, where trust emerges not in the domain of personal relationships, but in our attitude towards reality, including moral reality, that is not perceived by us as merely something inert. (shrink)

This paper focuses on Kant's account of physical geography and his theory of the Earth. In spelling out the epistemological foundations of Kant's physical geography, the paper examines 1) their connection to the mode of holding-to-be-true, mathematical construction and empirical certainty and 2) their implications for Kant's view of cosmopolitan right. Moreover, by showing the role played by the mathematical model of the Earth for the foundations of Kant's Doctrine of Right, the exact relationship between the latter and physical geography (...) is highlighted. Finally, this paper shows how, in Kant's view, the progress of physical geography can be assured if and only if the free circulation of human beings is established and regulated by law. Therefore, examining the mutual relationship between the theory of Earth and the foundations of right opens new perspectives on the relationship between epistemology and practical philosophy within Kant's system. (shrink)

The ability to distinguish between emotions is considered indicative of well-being, but does emotion differentiation in an aesthetic context also reflect deeper and more knowledgeable aesthetic experiences? Here we examine whether positive and negative ED in response to artistic stimuli reflects higher fluency in an aesthetic domain. Particularly, we test whether knowledge of the arts and curiosity are associated with more fine-grained positive and negative aesthetic experiences. A sample of 214 people rated their positive and negative feelings in response to (...) various artworks including positive and negative themes. Positive ED was associated with the embracing sub-trait of curiosity that reflects engagement and enjoyment of novelty and complexity, but was unrelated to artistic knowledge and perceived comprehension. Negative ED was associated with higher curiosity and particularly more knowledge of the arts. This relationship was mediated by appraised comprehension suggesting that deeper engagement with art, by those with more art knowledge, is associated with more fine-grained emotional experiences. This finding extends ED beyond well-being research and suggests that more nuanced emotional experiences are more likely for those with expertise in the arts and motivation for exploration. (shrink)

El propósito de este artículo es analizar debates sobre la educación sexual en la Argentina entre 1910 y 1945, desde una perspectiva de género y enfocados en niños y niñas en procesos de escolarización. Se presentan tres ejes interrelacionados. El primero se centra en el sistema educativo y analiza principios, prescripciones y ponderaciones que se elaboraron en torno a la educación sexual. Para tal fin se analiza la revista La Higiene Escolar, publicación suplementaria del Monitor de Educación Común, y el (...) libro de texto obligatorio Higiene, publicado en 1927 y en circulación hasta la década de 1950.El segundo eje versa sobre la producción impresa de la Liga Argentina de Profilaxis Social, fundada en Buenos Aires en 1921 por un conjunto de médicos y profesores, con el objetivo de divulgar conocimientos sobre enfermedades venéreas y crear una conciencia sanitaria popular, que incluía la educación sexual de niños, niñas y adolescentes.El tercer eje analiza los vínculos entre los integrantes de la Liga con la Asociación Americana de Higiene Social, la Liga Nacional Francesa Contra el Peligro Venéreo y la Oficina Sanitaria de Berlín, que abonaron un discurso común sobre la educación sexual sustentado en el higienismo, la profilaxis y el eugenismo social. (shrink)

Brain-computer interfaces (BCIs) are being investigated as an access pathway to communication for individuals with physical disabilities, as the technology obviates the need for voluntary motor control. However, to date, minimal research has investigated the use of BCIs for children. Traditional BCI communication paradigms may be suboptimal given that children with physical disabilities may face delays in cognitive development and acquisition of literacy skills. Instead, in this study we explored emotional state as an alternative access pathway to communication. We developed (...) a pediatric BCI to identify positive and negative emotional states from changes in hemodynamic activity of the prefrontal cortex (PFC). To train and test the BCI, 10 neurotypical children aged 8–14 underwent a series of emotion-induction trials over four experimental sessions (one offline, three online) while their brain activity was measured with functional near-infrared spectroscopy (fNIRS). Visual neurofeedback was used to assist participants in regulating their emotional states and modulating their hemodynamic activity in response to the affective stimuli. Child-specific linear discriminant classifiers were trained on cumulatively available data from previous sessions and adaptively updated throughout each session. Average online valence classification exceeded chance across participants by the last two online sessions (with 7 and 8 of the 10 participants performing better than chance, respectively, in Sessions 3 and 4). There was a small significant positive correlation with online BCI performance and age, suggesting older participants were more successful at regulating their emotional state and/or brain activity. Variability was seen across participants in regards to BCI performance, hemodynamic response, and discriminatory features and channels. Retrospective offline analyses yielded accuracies comparable to those reported in adult affective BCI studies using fNIRS. Affective fNIRS-BCIs appear to be feasible for school-aged children, but to further gauge the practical potential of this type of BCI, replication with more training sessions, larger sample sizes, and end-users with disabilities is necessary. (shrink)

Este artigo explora as relações entre história e literatura considerando a literatura um testemunho que pode ser lido, desconstruído e submetido ao mesmo escrutínio ao qual os historiadores submetem outras fontes que lhes permitam ter acesso à compreensão de redes e tensões sociais mais amplas. Nele são utilizadas poesias publicadas no cancioneiro Trovador: coleção de modinhas, recitativos, árias, lundus, etc.., com o objetivo de mostrar como seus autores estabeleceram um diálogo entre si e com seus leitores acerca de um assunto (...) candente do seu tempo - o progresso e seus desdobramentos para o cotidiano da sociedade – utilizando-se da literatura como instrumento de intervenção na realidade. A partir desses pressupostos, a experiência histórica vivida por escritores é considerada condição básica de análise, bem como texto e contexto são percebidos como dimensões indissociáveis de um fenômeno mais amplo que é ao mesmo tempo, cultural, econômico, social e político devendo ser abordados em conjunto levando-se em conta suas conexões recíprocas. (shrink)

Body expression and dance are activities that contribute to the integral well-being of people. In an educational context, the process of evaluating our students implies variations in their moods. This study tackles the states of mind that students perceive before and after the evaluation of a practice in the subject ofBody expression and dance, developed through choreographies, that were, previously rehearsed, and later presented to the rest of the class in a specific session. Our main interest was the obtention of (...) information on the states of mind of the students prior to the evaluation of their choreographies, and again once they had been performed. The study design consisted of two phases: two different choreographies separated by an interval of 2 months. The students were asked about their moods before and after performing their choreographies, which were evaluated. The participants, 167 in total, 35 women and 132 men, aged 18 to 22 years old, filled out a POMS questionnaire, before and after the evaluation of each occasion. Differences were found in the stress-anxiety, vigor-activity, fatigue-immobility scales and the total mood score. In all of them, except for the fatigue-immobility scale, we found a decrease in scores after the performance, compared to scores before. For the Stress-Anxiety factor, lower values were observed in the post-tests in comparison to the pre-tests, and also lower values in the pre- and post-test scores regarding the second choreography. We conclude that the practical evaluation of the subject through choreography modifies the mood states of the students, favoring their well-being after its execution, which is why evaluation through practice is considered a positive element in the educational process. (shrink)

This paper presents a new diachronic corpus of the Italian language, i.e., CODIT (COrpus Diacronico dell’ITaliano ‘Diachronic corpus of Italian’). After a description of the corpus design, the second part of the article is devoted to show possible applications of the corpus in the morphological field, specifically in the domain of evaluative morphology. We highlight the corpus’ strengths and limitations through the diachronic analysis of two affixes, i.e., sopra- and -oide. The study contributes to shed light on the dynamism of (...) evaluative morphology by focusing on the loss of the intensification function suffered by sopra- and the emergence of an approximating value that currently affects -oide. (shrink)

Was Iris Murdoch a virtue ethicist? At first sight, it would appear that she was not. She does not offer an explicit definition of account of the term ‘virtue’, and there are significant differences between her views and those of standard Aristotelian virtue ethicists. There is no reason, however, to think that the standard Aristotelian view represents the only legitimate form of virtue ethics. In this chapter, I begin by recalling (in section 1) the main commonalities between Murdoch’s criticisms of (...) the prevailing moral theories of her time and those of other first-wave virtue-ethicists. I then highlight (in section 2) some cornerstones of Murdoch’s peculiar approach to morality, which represent the background against which her account of virtue is developed, and I propose to trace these cornerstones back to a more diverse range of influences than the standard version of Aristotelianism. In section 3, I sketch the basics of Murdoch’s account of virtue, and I argue that there are at least three routes to vindicate it as a genuine virtue-ethical approach: the Buddhist, the Kantian and the Socratic-Aristotelian. I explore each of these routes in turn in sections 4, 5, and 6. In conclusion, I argue that the virtue-ethical field would benefit a great deal from the kind of pluralistic account of virtue that Murdoch offers. (shrink)

This is a short piece offering a rarely-mentioned reason for ethical veganism, which applies to cases in which not consuming animal products makes no practical difference to the animals (say, they have been bought by someone else and would be thrown away). The reason for not consuming animal products, regardless of the magnitude of the impact, is that doing so would be a betrayal: a betrayal of the animal who had to endure physical and mental pain, or whose life was (...) untimely ended, for making said ‘product’. This reason for not taking part in the consumption of animals, besides explaining these marginal cases, extends further and in fact contributes to the larger reason for veganism as such. (shrink)

This edited volume presents an overview of cutting-edge research areas within digital ethics as defined by the Digital Ethics Lab of the University of Oxford. It identifies new challenges and opportunities of influence in setting the research agenda in the field. The yearbook presents research on the following topics: conceptual metaphor theory, cybersecurity governance, cyber conflicts, anthropomorphism in AI, digital technologies for mental healthcare, data ethics in the asylum process, AI’s legitimacy and democratic deficit, digital afterlife industry, automatic prayer bots, (...) foresight analysis and the future of AI. This volume appeals to students, researchers and professionals. (shrink)

En la presente investigación se valoran las prácticas inclusivas de 6 1 docentes de educación básica de Colima, Sonora y San Luis Potosí adscritos a escuelas urbanas y rurales de México nominadas como exitosas. Se aplicaron varios instrumentos, como la GEPIA, la SACIE, el TEIP, el Cuestionario para Favorecer los Aprendizajes de Mitchell y el Protocolo C ODCA.

The purpose is to study the strength of Ramsey’s Theorem for pairs restricted to recursive assignments ofk-many colors, with respect to Intuitionistic Heyting Arithmetic. We prove that for every natural number$k \ge 2$, Ramsey’s Theorem for pairs and recursive assignments ofkcolors is equivalent to the Limited Lesser Principle of Omniscience for${\rm{\Sigma }}_3^0$formulas over Heyting Arithmetic. Alternatively, the same theorem over intuitionistic arithmetic is equivalent to: for every recursively enumerable infinitek-ary tree there is some$i < k$and some branch with infinitely many (...) children of indexi. (shrink)

Giacomo Leopardi, a major Italian poet of the nineteenth century, was also an expert in evil to whom Schopenhauer referred as a “spiritual brother.” Leopardi wrote: “Everything is evil. That is to say, everything that is, is evil; that each thing exists is an evil; each thing exists only for an evil end; existence is an evil.” These and other thoughts are collected in the Zibaldone, a massive collage of heterogeneous writings published posthumously. Leopardi’s pessimism assumes a polished form in (...) his literary writings, such as Dialogue between Nature and an Islander (1824)—an invective against nature and the suffering of creatures within it. In his last lyric, Broom, or the flower of the desert (1836), Leopardi points to the redeeming power of poetry and to human solidarity as placing at least temporary limits on the scope of evil. (shrink)

Connecting Virtues examines the significant advances within the fast-growing field of virtue theory and shows how research has contributed to the current debates in moral philosophy, epistemology, and political philosophy. It includes groundbreaking chapters offering original solutions to long-standing issues, such as the plausibility of different lists of virtues, the relationship between virtues and the vices that oppose them, and the connection between moral and intellectual virtues. In addition, the volume offers insights into cutting-edge areas of application of the topic (...) of virtue, such as the role of intellectual virtues in an age of neuromedia, virtuous dispositions related to social epistemology, and the value of some neglected virtues for political philosophy. The book breaks down barriers between different philosophical perspectives on the study of the virtues—both to highlight the interplay and overlap among virtues pertaining to different philosophical areas, and to stress the peculiarity of specific virtues within their own fields. It is a unique and insightful collection of essays composed by some of the leading philosophers working on the topic. (shrink)

SPECIAL SECTION: BUILDING UNIVERSES: THE PHILOSOPHICAL AND MATHEMATICAL UNDERPINNINGS OF COSMOLOGY (EIGHTEENTH–TWENTIETH CENTURIES) .

By exploring the nature of scientific representative practices, I shall define a methodology that relates the use of symmetry to specific practical functions. In order to expound this approach, I shall investigate the role played by the conception of symmetry in representative practices from a philosophical and epistemological perspective. The paper proceeds as follows. In the first part, I introduce the reasons why our conception of representative practices should consider the aims and the objectives towards which they direct their interest. (...) Secondly, by using symmetry as a case study, I try to show that philosophy can find fruitful pathways of interaction with sciences, as it is the case when it deals with the practical implications of the employment of symmetry in modeling. In the third section of the paper I shall refer to other examples that highlight the use of symmetry in scientific representative practices. I shall conclude with some remarks on the implications that this approach involves in epistemology, especially on our conception of objectivity and symmetry. (shrink)

Spirituality is as an individual, dynamic, and a complex concept. Meleis's theory includes spirituality in many aspects, and looking at this dimension within this specific theory may help in understanding spirituality as a critical dimension in transitions, as processes, but also as a dimension of self–transition as individual development and growing. Therefore, spirituality is an inherent and integral element of the several foundations of this theory, especially in nursing therapeutics, patterns of responses and transition conditions (facilitators and inhibitors).

Can literature help us in a time of crisis? Yes, in many and unexpected ways, as Simone Weil’s literary work shows. Reading Weil’s unfinished tragedy Venice Saved in the context of her poetry, philosophy and politics, we argue that it is an example of literary work that can engender transformation, for three reasons: its presentation and encouragement of attention to beauty; its tragic tension, forcing a deeper vision of the world; and its use of the poetic word. These elements, we (...) conclude, make literature a prime tool for inner and outer transformation, especially when everything seems to be lost. (shrink)

El objetivo del artículo es presentar el diseño y la evaluación de un taller de prevención y sensibilización contra el acoso sexual. En total 286 estudiantes (224 mujeres y 62 hombres) de distintos grados de la Universidad de las Islas Baleares participaron en el taller y mostraron una alta satisfacción con el taller. 197 participantes incluso dieron la máxima puntuación en todos los 9 ítems del cuestionario de evaluación. Estos resultados animan a impulsar su aplicación en otros estudios y también (...) dentro del marco de formación del personal docente e investigador (PDI) y del personal de administración y servicios (PAS). (shrink)

An outstanding reference source to the full span of Murdoch's work, comprising 37 specially commissioned chapters written by an international team of leading scholars. This is the first volume to do justice to the incredibly rich and wide-ranging nature of her work. Divided into five parts, the volume covers the following areas: -/- - A guide to Murdoch's key philosophical texts, including The Sovereignty of Good and Metaphysics as a Guide to Morals. - Core themes and concepts in Murdoch's philosophy, (...) such as love, moral vision, and attention. - Murdoch's engagement with the history of philosophy, including Plato, Kant, Hegel, Simone Weil, and Wittgenstein. - Interdisciplinary connections with art, literature, and religion, including Judaism, Buddhism, and Christianity. - Murdoch and contemporary philosophical debates, including feminism, virtue ethics, and metaethics. - The application of Murdoch’s thought to applied ethics, including animal ethics, psychiatric ethics, and the environment. -/- Although recent years have seen a blossoming of interest in Murdoch’s philosophy, The Murdochian Mind is the first volume to do justice to the incredibly rich and wide-ranging nature of her work. As such it will be of great interest to students of philosophy, especially ethics and aesthetics, as well as those in related disciplines such as literature, religion, and gender studies. (shrink)

Simone Weil (1909-1943) was one of the foremost French philosophers of the 20th century; a mystic, activist, and writer whose profound work continues to intrigue and inspire today. -/- Mirror of Obedience collects together Weil's poetry and autobiographical writings translated into English for the first time. It offers a rare glimpse into a more personal and introspective Weil than we usually encounter. She was writing and re-working her poems until the end of her life and in a letter from London (...) to her parents, dated 22 January 1943, she expressed the wish for her verses to appear together in print in chronological order, a wish which this volume honours. -/- Weil was a thinker who wrote with discipline and spareness and cherished the poetic form for its power to compress language and distill meaning. In these poems and literary writings, we see her own efforts to craft poems as essential expressions of thought, bringing into view another aspect of Weil's quest for beauty and truth. (shrink)

_Background:_ Several studies have shown a connection between mothers with postnatal depression (PND) and emotional-behavioral problems in their children. Mothers’ psychopathology may impair interactional patterns with children and these outcomes can be influenced by father’s psychopathological symptoms. The primary aim of the study was to assess over time parent-infant interaction in families where mothers have experienced PND and have received psychological treatment during the child’s first year of life considering the severity of parents’ psychopathological symptoms and children’s temperament. _Methods:_ Three (...) groups of families were involved: families with mothers with PND wherein both parents followed a psychological treatment (TxMF); families with mothers affected by PND wherein only the mother followed the treatment (TxM) and control families wherein the mothers did not have a psychopathological diagnosis and did not receive any treatment (Con). The families were assessed at two time points through Symptom Check-List-90-Revised (SCL-90-R), Questionari Italiani Temperamento (QUIT) and the video-recorded procedure observing mealtime Scala di Valutazione Interazioni Alimentari (SVIA). _Results:_ Parents in the TxMF group had significantly lower SVIA scores (i.e., less maladaptive) at T2. TxMF group scored lower at T2 at SCL-90-R, whereas TxM showed no significant differences between T1 and T2. Involvement of fathers in the treatment was important to improve the psychopathological symptoms of both parents and the quality of interactions with their children. (shrink)

Can art, religion, or philosophy afford ineffable insights? If so, what are they? The idea of ineffability has puzzled philosophers from Laozi to Wittgenstein. In Ineffability and its Metaphysics: The Unspeakable in Art, Religion and Philosophy, Silvia Jonas examines different ways of thinking about what ineffable insights might involve metaphysically, and shows which of these are in fact incoherent. Jonas discusses the concepts of ineffable properties and objects, ineffable propositions, ineffable content, and ineffable knowledge, examining the metaphysical pitfalls involved (...) in these concepts. Ultimately, she defends the idea that ineffable insights as found in aesthetic, religious, and philosophical contexts are best understood in terms of self-acquaintance, a particular kind of non-propositional knowledge. Ineffability as a philosophical topic is as old as the history of philosophy itself, but contributions to the exploration of ineffability have been sparse. The theory developed by Jonas makes the concept tangible and usable in many different philosophical contexts. (shrink)

Pluralist mathematical realism, the view that there exists more than one mathematical universe, has become an influential position in the philosophy of mathematics. I argue that, if mathematical pluralism is true (and we have good reason to believe that it is), then mathematical realism cannot (easily) be justified by arguments from the indispensability of mathematics to science. This is because any justificatory chain of inferences from mathematical applications in science to the total body of mathematical theorems can cover at most (...) one mathematical universe. Indispensability arguments may thus lose their central role in the debate about mathematical ontology. (shrink)

This article presents the first, systematic analysis of the ethical challenges posed by recommender systems through a literature review. The article identifies six areas of concern, and maps them onto a proposed taxonomy of different kinds of ethical impact. The analysis uncovers a gap in the literature: currently user-centred approaches do not consider the interests of a variety of other stakeholders—as opposed to just the receivers of a recommendation—in assessing the ethical impacts of a recommender system.

The existence of fundamental moral disagreements is a central problem for moral realism and has often been contrasted with an alleged absence of disagreement in mathematics. However, mathematicians do in fact disagree on fundamental questions, for example on which set-theoretic axioms are true, and some philosophers have argued that this increases the plausibility of moral vis-à-vis mathematical realism. I argue that the analogy between mathematical and moral disagreement is not as straightforward as those arguments present it. In particular, I argue (...) that pluralist accounts of mathematics render fundamental mathematical disagreements compatible with mathematical realism in a way in which moral disagreements and moral realism are not. 11. (shrink)