La irrupción de la Inteligencia artificial (IA) causa esperanzas e incertidumbres, por las amplias posibilidades que tiene, pero también por los riesgos que representa. Luego de explicar sucintamente en qué consiste la IA, se exponen ejemplos de la presencia de sistemas y aplicaciones en distintos y dispares campos: en la industria, la biotecnología, el cambio climático, la medicina, los negocios, el entretenimiento y las finanzas. Los efectos que la IA puede causar en el planeta, en la cultura y en la (...) vida de los seres humanos hace necesaria una reflexión sobre la eticidad de esas aplicaciones, pues su omnipresencia puede derivar en una algor-cracia (la era digital gobernada por algoritmos) por lo que es necesario pensar y desarrollar una algor-ética, que oriente la utilización de la IA y sus aplicaciones. Se ofrece un decálogo de pautas éticas que permitirán que aquello es técnicamente posible, esté a favor de los seres humanos y nunca les haga daño, ni propicie condiciones adversas o lesivas para ellos. Además de la regulación ética y bioética, las aplicaciones de la IA necesitan un marco jurídico. Se comenta brevemente la Ley de Inteligencia artificial, aprobada por el Parlamento Europeo en marzo del 2024 y redactada con un enfoque basado en el riesgo. Se concluye que son imprescindibles unos parámetros éticos y bioéticos que humanicen la IA, sobre la base de una antropología verdadera, que garantice su utilización al servicio de lo humano, poniendo en el centro la primacía de la dignidad humana. (shrink)

In the absence of the Arabic text of al-Khw's Arithmetic, which has not yet been found, the oldest Latin adaptations from the twelfth century are the only evidence documenting the genesis and the first spreading of a decimal arithmetic that uses nine figures and zero, i.e. the Indian reckoning known in the Middle Ages as algorismus. This paper studies these texts, their content, their sources, and identifies their authors and the milieus in which they were written.

The paper presents a revised view of quantum mechanics centered on the notion (“genuine fortuitousness”) that the click in a counter is a totally lawless event, which comes by itself. A crucial point is the distinction between events on the spacetime scene and the content of the symbolic algorism. A revised conception of matrix variables emerges, by which such a variable, as part of a whole, does not have a value, under any circumstance. This conception is at variance with (...) that of indeterminate variables. A matrix variable not having a value does not enter spacetime and is not a measurable quantity, but manifests itself by a click in a counter with the remarkable property of having an onset, a beginning, from which the click develops. The individual click with its immense complexity is unique and lawless, even beyond probability. The notion of probability only applies to clicks in low resolution, and the completeness of a probabilistic theory is thereby seen in a new perspective. The genuinely fortuitous click is not produced by the impact of a particle, nor caused by an event in the source prior to the click in the counter. Indeed, there are no particles on the spacetime scene. The theory is thereby liberated from notions, which go with particles having indeterminate variables, and which have given to quantum mechanics the image of an unfathomable theory. With no particle as intermediary, the connection between source and detector is non-local, as is the entire theory, which deals exclusively with distributions of clicks. The locality permeating quantum mechanics is a symbolic one. The wave function enters in the sole role of encoding the probability distributions of clicks. The quest to understand the occurrence of the click in terms of the evolution of the wave function loses its meaning. However, click distributions in low resolution can be analyzed in terms of the connection between click distributions for different sets of counters, as given by the wave function. With increasing resolution, the probabilities, and the wave function, gradually lose significance, whereby the onset remains beyond reach. Thus, the downward path from events on the spacetime scene does not extend beyond the onset. The notion that quantum mechanics deals with particles (or fields) is rooted in the historical evolution but appears unable to accomodate genuine fortuitousness. The latter concept is given its due place by fully accepting the abstract nature of the matrix variables. (shrink)

In their paper “Algorithms for Ethical Decision-Making in the Clinic: A Proof of Concept,” Meier et al. present the design and preliminary results of a proof-of-concept clinical ethics algor...

L’auteur commence par rappeler la diversité d’aspects des textes mathématiques. Il s’appuie pour cela sur plusieurs études historiques récentes consacrées à l’analyse et aux conséquences de cette diversité dans le cas des mathématiques babyloniennes, grecques et chinoises. Il propose ensuite une analyse sémiotique de la transcription de l’un des textes latins par lesquels l’arithmétique fondée sur les chiffres arabes a été diffusée en Occident. La comparaison des résultats obtenus avec ceux de la même analyse appliquée à la traduction française qui (...) a récemment été donnée de ce texte lui permet de comparer l’évolution de la forme des textes mathématiques avec l’évolution des caractéristiques sémiotiques des nombres. Au cours de cet article, il propose un rapprochement entre le type de «mise en texte» adoptée et certains préjugés formalistes. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:A Humanist History of Mathematics?Regiomontanus's Padua Oration in ContextJames Steven ByrneIn the spring of 1464, the German astronomer, astrologer, and mathematician Johannes Müller (1436–76), known as Regiomontanus (a Latinization of the name of his hometown, Königsberg in Franconia), offered a course of lectures on the Arabic astronomer al-Farghani at the University of Padua. The only one of these to survive is his inaugural oration on the history and utility (...) of the mathematical arts.1 Regiomontanus tells his audience that the purpose of the oration is torelate first the origin of our arts, and among which nations they first began to be cultivated, in what way they were at last translated from various foreign tongues into Latin, which of our ancestors were famed in these disciplines, and to whom in our lifetimes recognition should be granted.2To this end, he offers a history of the quadrivial arts (arithmetic, geometry, music, and astronomy) and other important mathematical disciplines from [End Page 41] antiquity to his own time, praises their utility, and exhorts his audience to revive the languishing study of mathematics at Padua. Astrology, a discipline with which Regiomontanus himself was closely associated, is singled out for particular praise.Traditionally, Regiomontanus's Padua oration has been seen through the lens of its rather obvious humanism. In particular, the Padua oration has come to be understood as the rhetorical embodiment of the fifteenth-and-sixteenth-century revival of ancient (Greek) mathematics. Just as this revival is inextricable from the rise of humanism, so Regiomontanus has come to be seen as an exemplar of humanist mathematics.3 It is the aim of this paper to examine the Padua oration in the context both of contemporary humanist rhetoric and of Regiomontanus's own intellectual background in order to argue that, while the oration is stylistically consistent with humanist norms, the vision of mathematics presented in it is also deeply grounded in the university mathematical curriculum and in Regiomontanus's own reading of mathematical texts.Regiomontanus was educated primarily at the University of Vienna (he was also briefly at the University of Leipzig), where he enrolled in 1450, completed his baccalaureate in 1452 and became a master in 1457.4 He remained at Vienna until 1461, when the death of his friend and teacher Georg Peurbach prompted him to travel to Italy with his patron, Cardinal Bessarion.5 In Regiomontanus's day Vienna was probably the most important of the German universities, rivaled only by Prague, whose prestige had declined after it was stripped of its theology faculty in the aftermath of the Hussite Wars.6 The curriculum at the University of Vienna was modeled [End Page 42] after that of Paris, and Parisian scholars played a major role both in its founding in 1365 and in its re-establishment (this time with a theology faculty) in 1384.7Most importantly for the purposes of this paper, the Viennese mathematical curriculum of Regiomontanus's day included all of the traditional authorities taught at Paris in the fourteenth century. For arithmetic and algebra, various "algorisms" (prose or poetry instructions for carrying out arithmetical operations that often also included a small amount of number theory) were the basic texts, supplemented in the fourteenth century by the Quadripartitum numerorum of Jean de Murs. Jordanus de Nemorare's De numeris datis and al-Khwarizmi's Algebra were common sources for those engaged in more advanced studies (i.e., they were not normally the subject of ordinary lectures, but were readily available to interested students, and would perhaps have been the subject of occasional extraordinary lectures). Euclid's Elements, supplemented by the commentaries of Pappus and Campanus, was the central text for geometry, and a number of medieval texts on practical and speculative geometry were in circulation as well. For astronomy, the Sphere of Sacrobosco and the Theorica planetarum were the most commonly used teaching texts, sometimes supplemented by al-Farghani's Elements of Astronomy (the subject of Regiomontanus's Padua lectures). Advanced students could read numerous more specific treatises by Arabic and Latin authors. For optics, the Perspectiva communis of John Peckham was the most common basic text, with texts... (shrink)

人工智慧 (AI) 對醫學－生命倫理學的影響是當今不可忽視的話題，亦是頗有爭議的話題。自2007年以來，美國IBM的華生醫生(Dr. Watson) 通過認知運算 (Cognitive Computing)，從事疾病 的早期發現、治療方法及新藥研發等工作。近幾年，AI科技得到突飛猛進的發展，其機器學習演算法 (machine learning algorisms) 持續對人類社會帶來前所未有的改變。AI工具如OpenAI公司的ChatGPT、Sora，微軟的“必應”(Bing)，穀歌的“巴德”(Bard) 以及醫療大模型 (PaLM2)。高級自然語言處理模型的出現，掀起 了通過人工智慧聊天機器人收集資訊、回答醫療問題的新浪潮。美國加州大學聖地亞哥分校神經生物學教授泰倫斯．塞諾夫斯基 (Terrence J. Sejnowski) 在一次有關人工智慧未來展望的會議上明確指出，“人工智慧的最新進展似乎是革命性的，但我們才剛剛起步——未來超出了我們有限的想像範圍。”(Sejnowski,“GPT: From Brains to the Talking Dog”)。目前人工智慧在中國的發展亦是與日俱增，其未來的發展問題以及其背後的倫理思考愈來愈受到學者的關注，是否運用AI技術建構的人工智慧系統的問題已經轉向如何運用AI技術建構的人工智慧系統的問題。( 撮要取自內文首段).

L’auteur commence par rappeler la diversité d’aspects des textes mathématiques. Il s’appuie pour cela sur plusieurs études historiques récentes consacrées à l’analyse et aux conséquences de cette diversité dans le cas des mathématiques babyloniennes, grecques et chinoises. Il propose ensuite une analyse sémiotique de la transcription de l’un des textes latins par lesquels l’arithmétique fondée sur les chiffres arabes a été diffusée en Occident. La comparaison des résultats obtenus avec ceux de la même analyse appliquée à la traduction française qui (...) a récemment été donnée de ce texte lui permet de comparer l’évolution de la forme des textes mathématiques avec l’évolution des caractéristiques sémiotiques des nombres. Au cours de cet article, il propose un rapprochement entre le type de «mise en texte» adoptée et certains préjugés formalistes. (shrink)