Recent mathematical results, obtained by the author, in collaboration with Alexander Stokolos, Olof Svensson, and Tomasz Weiss, in the study of harmonic functions, have prompted the following reflections, intertwined with views on some turning points in the history of mathematics and accompanied by an interpretive key that could perhaps shed some light on other aspects of (the development of) mathematics.

The Cambridge Platonist Henry More was fiercely averse to the Lurianic Kabbalah, with which he became acquainted through the two tomes of the Kabbala denudata. More contributed to the first tome substantially and was highly influential in shaping the reception of this work, edited by Christian Knorr von Rosenroth. He denounced the incompatibility of the Christian religion with Luria's system and in his last contribution, the Fundamenta, he put forward an apagogical argument meant to show the inconsistency of Luria's teaching. (...) The article aims at exploring the nature of More's argument so as to highlight the philosophical essence of his criticism, the intention of which was to emphasize the incompatibility of the Kabbalah with any form of rational speculation. Luria's doctrine appeared to More to be a compromise between materialism and spiritualism, a sort of hybrid theory that was even worse than materialism, given its misleading theistic appearance as well as the lack of internal coherence. This compromise was also morally unacceptable, being symptomatic of weakness of the will. (shrink)

Introduction: Novel coronavirus is having a devastating psychological impact on patients, especially patients with cancer. This work aims to evaluate mood disorders of cancer patients undergoing radiation therapy during COVID-19 in comparison with cancer patients who underwent radiation therapy in 2019.Materials and Methods: We included all the patients undergoing radiation therapy at our department in two-time points and during the COVID-19 outbreak. All the patients were asked to fulfill a validated questionnaire, the Symptom Distress thermometer, and the Beck Depression Inventory (...) v.2. We took into account the COVID-19 outbreak and also sex, age, week of radiation treatment, and disease.Results: We included 458 patients, with a median age of 64 years. STAI-Y1 median score was 40, whereas the median score of SDT was five and BDI-2 median score was 11. STAI-Y1, SDT, and BDI-2 were significantly correlated with the COVID-19 outbreak, sex, week of treatment, and disease.Conclusions: The prevalence of mood disorders in patients undergoing radiation therapy is higher than expected and even higher during the COVID-19 outbreak. These measurements could be useful as a baseline to start medical humanities programs to decrease these scores. (shrink)

La experiencia de musulmanes, judíos y cristianos ante el sufrimiento, la muerte y la enfermedad tiene muchos puntos en común que es necesario y urgente resaltar. El libro está dividido entres partes que corresponden a las tres tradiciones analizadas. Consta de treinta artículos escritos por veintisiete autores. Participan profesores no sólo de las Universidades de Comillas, Deusto y Granada sino del Instituto Bíblico de Roma, de la Universidad Gregoriana de Roma, de la Universidad de Munich, de la Universidad Complutense de (...) Madrid, del Seminario Evangélico Unido de Teología (SEUT) y de la Facultad de Teología de Catalunya. Colaboran, por supuesto, sacerdotes católicos, pastores protestantes, un rabino y el secretario del Consejo Europeo de Mezquitas. Sin duda, nos encontramos ante una gran aportación en el campo de la Bioética y en la reflexión en torno al dolor, la enfermedad y la muerte. (shrink)

La Bioética es una joven disciplina con apenas tres décadas de recorrido en nuestro país. Durante todo este tiempo, la Cátedra de Bioética de la Universidad Pontificia Comillas ha contribuido activamente a la reflexión, diálogo y divulgación de la Bioética. Este año, ha querido celebrar su XXV Seminario Interdiciplinar reuniendo a las principales instituciones y autores que han sido y son referentes ineludibles en esta reflexión bioética. Este libro recoge la mirada histórica del mucho y buen trabajo realizado en todo (...) este tiempo, la situación actual de esta disciplina que intenta servir a una sociedad en continuo cambio y las perspectivas de futuro que se plantean las principales instituciones que hoy por hoy dan forma a la Bioética española. (shrink)

A 20 años de la publicación de la encíclica Fides et ratio se ensaya una presentación general sobre el modo en que el catolicismo articula la fe y la razón. El artículo procura ofrecer una mirada realista que asuma los desafíos del racionalismo y el fideísmo presentes en la cultura contemporánea. Para ello se citan autores varios cuyas opiniones pueden, directa o indirectamente, ser integradas a la propuesta católica. Como telón de fondo corren los grandes misterios de la creación, el (...) pecado y la redención en Cristo, Sabiduría de Dios. (shrink)

This study aimed to investigate the student-athletes' capability to face the academic, sport, and social challenges during the coronavirus disease 2019 (COVID-19) lockdown and to disclose novel aspects of dual careers. A 32-item online survey encompassing demographic characteristics, sport and university engagement, support and dual-career benefits, physical activity, sitting time, and the time deemed necessary to recover the previous level of performance was developed. Four hundred sixty-seven student-athletes (males: 57%, females: 43%) from 11 countries, competing in 49 different sports (individual: (...) 63.4%, team: 36.6%) at regional (17.5%), national (43.3%), and international (39.2%) levels, and enrolled at high school (21.9%) and university (78.1%) levels completed the survey. During the lockdown, the respondents decreased the time dedicated to sport and academics, although they maintained an active lifestyle. Student-athletes from countries under severe contagion were more likely to train at home, dedicate to academics, and receive support from the coach but less likely receive support from their teachers. With respect to their team sport counterparts, athletes competing in individual sports trained more and were more likely to receive support from their coaches. International athletes showed the highest training time and support from their coaches and as student-athletes. High school students received more support from their coaches and teachers, whereas university students were more likely considering dual careers useful to cope with the COVID-19 pandemic. This study substantiates the relevant role of competitive sports participation in the maintenance of active lifestyles, with student-athletes considering home training and e-learning valuable resources during the lockdown. Furthermore, their sport and academic commitments helped student-athletes cope with the emergency of the COVID-19 pandemic. (shrink)

Al comienzo del camino se mostró: todo dominar los alejamientos no trae cercaníaen parte alguna. Con la cercanía se suprime también la lejanía. Todo es allanado en lo sindistancia. Ahora vemos más claramente: la cercanía es (west: esencia, se despliega) entanto la cosa se despliega como cosa (dingt: pone en juego, cosea). Al desplegarse comocosa, la cosa despliega mundo (Ding dingt Welt). Desplegarse como cosa es acercar (nähern)que mantiene en la cercanía el mundo como mundo. En el acercar reside la (...) esencia de lacercanía. (shrink)

L'idea di relazionare la dimensionalità dello spazio ad una legge fisica, contenuta nel primo scritto di Kant "Pensieri sulla veridica estima delle forze vive", svela un modo di guardare i rapporti tra Fisica e Matematica così nuovo ed originale che potè essere sviluppato e compreso nella sua plenitudine soltanto nel secolo XX. Ci riferiamo qui ala prospettiva aperta da Ehrenfest nel suo "In what way does it become manifest in the fundamental laws of physics that space has three dimensions?". In (...) questo saggio si cerca di comprendere alcune delle radici fisiche, filosofiche e teologiche dell’approccio di Kant a questo problema, e la sua inserzione nel dibattito delle idee che sostengono la concezione meccanicista del Mondo. In primo luogo, si sottolinea che da una lettura attenta del suo Gedanken von der wahren Schätzung der lebendigen Kräfte si può concludere che - al contrario di quanto viene normalmente creduto - Kant non riuscì a dimostrare la sua congettura che la tridimensionalità dello spazio possa essere fondata sulla legge di gravitazione di Newton, secondo la quale la forza tra due corpi va come l'inverso del quadrato della distanza che li separa; in realtà, egli si limitò a giustificare la tridimensionalità della estensione. Dopo aver considerato la distinzione fra estensione e spazio, si fa notare che la catena logica della congettura del giovane Kant, presuppone la forza come concetto basilare, intrinseco alle sostanze. È mediante questa forza che si stabiliscono le relazioni tra le sostanze, le quali, a sua volta, creano l'ordine su cui viene basato il concetto di spazio. Si deve badare che la coerenza del suo argomento richiede, in ultima analisi, concepire la percezione, cioè, l'interazione fra le sostanze e l'anima, come risultato della medesima forza di lunga portata. Inoltre, si dimostra che l'argomento di Kant non poteva essere costrutto su una intelaiatura puramente newtoniana nel 1747. Infatti, egli costruì sua dimostrazione a partire da una concezione del mondo basata sul legato di Cartesio (soprattutto l'idea di um ordine cosmico) e Leibniz (l'esistenza di una forza che precede l'estensione e l'idea di spazio relativo) alla quale sovrappone, in modo ibrido, la legge di gravitazione di Newton. Si argomenta che questa scelta fu fortemente influenzata da alcune idee teologiche del Giovane Kant che divergono da quelle di Cartesio, Newton e Leibniz. Fu questo carattere ibrido del suo approccio che permise a Kant di trattare la questione della dimensionalità dello spazio come un problema di fisica, ma, che, allo stesso tempo, a causa delle sue limitazioni intrinsiche, portò Kant a provare appena la tridimensionalità della estensione. (shrink)

“There is nothing deep down inside us except what we have put there ourselves, no criterion that we have not created in the course of creating a practice, no standard of rationality that is not an appeal to such a criterion, no rigorous argumentation that is not obedience to our own conventions.” Richard Rorty, Consequences of Pragmatism I. Introducción: ¿es Richard Rorty el hombre que mató a la verdad? En el año 2003, apenas cuatro años antes de la muerte de (...) Richard Rorty, la cadena BBC emit... (shrink)

A reality-design gap in the conceptualization and practice of digital agriculture has been systematically reported in the literature. This condition is favored by the lack of understanding and inclusion of local worldviews around digital technologies. Informed by Amartya Sen’s capabilities approach, this study looks to bring stories of local appropriation to the spotlight. Based on a qualitative approach that included data collected through interviews with 73 households, the authors explored the way in which two selected communities of Colombian coffee growers (...) are engaged in the use of digital technologies in material and symbolic ways. Three emergent themes—a relational way of farming, (dis)connected machines, and nurtured families and communities – articulate multiple interactions between farmers, farms, institutional programs, and technologies, that originate local forms of digitalization (and non-digitalization). This study points out the relevant role of situated ideas of development in positioning technologies in or out of the farm, and broader digitalization agendas in or out of farmers’ life projects. At the same time, it presents a critique of notions of universality that drive unquestioned quests for technification. In contrast, building on a relational perspective, this study calls for embracing a perspective of multiplicity within notions of development and innovation. (shrink)

La tecnificación y las grandes catástrofes militares y sociales del siglo XX condujeron a un autor como Husserl a reivindicar un concepto como el de Lebenswelt. Tras este acercamiento hay una reflexión sobre el yo y el otro que se ha querido poner de manifiesto en este artículo a fin de destacar dos conceptos como el de posibilidad y facticidad. Las variaciones imaginarias husserlianas y los testimonios de los supervivientes de los campos de exterminio han servido para destacar y definir (...) tales conceptos, así como un acercamiento a la memoria como concepto que podría marcar un punto de contacto entre ambos.The technification and the great military and social disasters of the twentieth century led an author like Husserl to claim a concept like Lebenswelt. Behind this approach there is a reflection on the self and the other that one has wanted to highlight in this article, two concepts such as possibility and factuality. The Husserlian imaginary variations and the testimonies of the survivors of the extermination camps have served to highlight and define such concepts, as well as an approach to memory as a concept that could mark a point of contact between both. (shrink)

v. 1. El tiempo histórico de Mario Hernández Sánchez-Barba -- v. 2. Generaciones y mentalidades. Estudios de teoría de la Historia.

Why is space 3-dimensional? The fi rst answer to this question, entirely based on Physics, was given by Ehrenfest, in 1917, who showed that the stability requirement for n-dimensional two-body planetary system very strongly constrains space dimensionality, favouring 3-d. This kind of approach will be generically called "stability postulate" throughout this paper and was shown by Tangherlini, in 1963, to be still valid in the framework of general relativity as well as for quantum mechanical hydrogen atom, giving the same constraint (...) for space{dimensionality. In the present work, before criticizing this methodology, a brief discussion has been introduced, aimed at stressing and clarifying some general physical aspects of the problem of how to determine the number of space dimensions. Then, the epistemological consequences of Ehrenfest's methodology are critically reviewed. An alternative procedure to get at the proper number of dimensions, in which the stability postulate - and the implicit singularities in three-dimensional physics - are not an essential part of the argument, is proposed. In this way, the main epistemological problems contained in Ehrenfest's original idea are avoided. The alternative methodology proposed in this paper is realized by obtaining and discussing the n-dimensional quantum theory as expressed in Planck's law, de Broglie relation and the Heisenberg uncertainty relation. As a consequence, it is possible to propose an experiment, based on thermal neutron di raction by crystals, to directly measure space dimensionality. Finally the distinguished role of Maxwell's electromagnetic theory in the determination of space dimensionality is stressed. (shrink)