Modular motives have coefficients in Hecke algebras. According to the equivariant philosophy, special values of $L$-functions of eigencuspforms should therefore exhibit equivariant properties with respect to various Hecke actions. This manuscript shows that this is indeed the case at least under broad conditions on ramification and deduce from them new properties of the Iwasawa Main Conjecture for modular forms. This manuscript is dedicated to the memory of Joël Bellaïche.
Responsibility has long been a subject of study in law and philosophy. More recently, it became a focus of AI literature. The article investigates the computational complexity of two important properties of responsibility in collective decision-making: diffusion and gap. It shows that the sets of diffusion-free and gap-free decision-making mechanisms are $Π_2$-complete and $Π_3$-complete, respectively. At the same time, the intersection of these classes is $Π_2$-complete.
We applied computational methods to analyze references across 2,245 philosophical texts, spanning from approximately 550 BCE to 1940 AD, in order to measure patterns in how philosophical ideas have spread over time. Using natural language processing and network analysis, we mapped over 294,970 references between authors, classifying each reference into subdisciplines of philosophy based on its surrounding context. We then constructed a graph, with authors as nodes and textual references as edges, to empirically validate, visualize, and quantify intellectual lineages as they are understood within philosophical scholarship. For instance, we find that Plato and Aristotle alone account for nearly 10% of all references from authors in our dataset, suggesting that their influence may still be underestimated. As another example, we support the view that St. Thomas Aquinas served as a synthesizer between Aristotelian and Christian philosophy by analyzing the network structures of Aquinas, Aristotle, and Christian theologians. Our results are presented through an interactive visualization tool, allowing users to dynamically explore these networks, alongside a mathematical analysis of the network's structure. Our methodology demonstrates the value of applying network analysis with textual references to study a large collection of historical works.
Compared with traditional medical technologies, medical new-quality technologies demonstrate stronger autonomy, such as self-generation, replication, amplification, variation and reproduction, and can interact deeply with the intrinsic mechanisms of life systems, adapt to environmental changes dynamically, and intervene in life processes autonomously at different scales. Its intervention in natural life has led to the blurring of life boundaries and have brought more profound and ethical challenges to biosecurity, life dignity, and personal identity. Interpreting and responding to these challenges through the lens of body theory not only helps to clarify the definition of life and return to the embodied life of human beings, but also facilitates upstream governance. This approach advances ethics as a guiding principle, strengthens ethical awareness, reinforces ethical boundaries, enforces rigorous review mechanisms, and promotes global ethical co-governance.
The Dirac negative energy sea introduced the concept of antimatter, and explained it, not least in its relationship to negative-energy solutions to the wave equation. Post-war, it was largely displaced by what I shall call the 'standard formalism', dependent, among other things, on normal-ordering. A much better explanation is provided by the 'two complex structures' viewpoint, as first introduced by Irving Segal: the one ('natural') kind of complex numbers at the level of covariant, local fields; and the other ('particle') complex numbers at the level of the one-particle Hilbert space and Fock space. The former is local, the latter non-local: therein lies the fundamental difference between relativistic and non-relativistic quantum theory.
The self-interaction spin-2 approach to general relativity (GR) has been extremely influential in the particle physics community. Leaving no doubt regarding its heuristic value, we argue that a view of the metric field of GR as nothing but a stand-in for a self-coupling field in flat spacetime runs into a dilemma: either the view is physically incomplete in so far as it requires recourse to GR after all, or it leads to an absurd multiplication of alternative viewpoints on GR rendering any understanding of the metric field as nothing but a spin-2 field in flat spacetime unjustified.
María Isabel Cornejo-Plaza, Roberto Cippitani, Roberto Cippitani
et al.
This paper discusses a landmark ruling by the Chilean Supreme Court of August 9, 2023 dealing with the right to mental privacy, originated with an action for constitutional protection filed on behalf of Guido Girardi Lavin against Emotiv Inc., a North American company based in San Francisco, California that is commercializing the device “Insight.” This wireless device functions as a headset with sensors that collect information about the brain’s electrical activity (i.e., neurodata). The discussion revolves around whether neurodata can be considered personal data and whether they could be classified into a special category. The application of the present legislation on data (the most obsolete, such as the Chilean law, and the most recent EU law) does not seem adequate to protect neurodata. The use of neurodata raises ethical and legal concerns that are not fully addressed by current regulations on personal data protection. Despite not being necessarily considered personal data, neurodata represent the most intimate aspects of human personality and should be protected in light of potential new risks. The unique characteristics of neurodata, including their interpretive nature and potential for revealing thoughts and intentions, pose challenges for regulation. Current data protection laws do not differentiate between different types of data based on their informational content, which is relevant for protecting individual rights. The development of new technologies involving neurodata requires particular attention and careful consideration to prevent possible harm to human dignity. The regulation of neurodata must account for their specific characteristics and the potential risks they pose to privacy, confidentiality, and individual rights. The answer lies in the reconfiguration of human rights known as “neurorights” that goes beyond the protection of personal data.
With language technology increasingly affecting individuals' lives, many recent works have investigated the ethical aspects of NLP. Among other topics, researchers focused on the notion of morality, investigating, for example, which moral judgements language models make. However, there has been little to no discussion of the terminology and the theories underpinning those efforts and their implications. This lack is highly problematic, as it hides the works' underlying assumptions and hinders a thorough and targeted scientific debate of morality in NLP. In this work, we address this research gap by (a) providing an overview of some important ethical concepts stemming from philosophy and (b) systematically surveying the existing literature on moral NLP w.r.t. their philosophical foundation, terminology, and data basis. For instance, we analyse what ethical theory an approach is based on, how this decision is justified, and what implications it entails. Our findings surveying 92 papers show that, for instance, most papers neither provide a clear definition of the terms they use nor adhere to definitions from philosophy. Finally, (c) we give three recommendations for future research in the field. We hope our work will lead to a more informed, careful, and sound discussion of morality in language technology.
SUBJECT & OBJECTIVES: The emergent spiritualities have a special and new look at man and his relationship with the Almighty God, leading to humanism in some cases. Deepak Chopra believes man has a lot of ability due to his mind and he can know God without the need for divine religions. He can also behave like God and participate in the creation of the Universe with the Almighty God and control the material world and the universe. On the other hand, Mulla Sadra considers all human abilities to be related to his Nafs (soul), which can possess abilities and dominate existence if connected to God Almighty.METHOD & FINDING: This article is a critical research answering the question of what the position of humans in the universe is. The findings of the research show that Chopra imagined that divine religions were created to nurture and develop human abilities, especially the physical type; While the purpose of divine religions is the spiritual evolution of man.CONCLUSION: Using the qualitative method in the analysis of Chopra's writings based on Mulla Sadra's views, we can draw the following conclusion: Although man is composed of two domains, Nafs (soul) and the body, his most important domain is his soul, for which, although man has abilities, his abilities are due to his connection to the Almighty God.
Evripidis P. Kechagias, Dimitrios M. Miloulis, Georgios Chatzistelios
et al.
As countries interact more and more, technology gains a decisive role in facilitating today's increased need for interconnection. At the same time, systems, becoming more advanced as technology progresses, feed each other and can produce highly complex and unpredictable results. However, with this ever-increasing need for interconnected operations, complex problems arise that need to be effectively tackled. This need extends far beyond the scientific and mechanical fields, covering every aspect of life. Systemic Thinking Philosophy and the System Dynamics methodology now seem to be more relevant than ever and their practical implementation in real-life industrial cases has started to become a trend. Companies that decide to implement such approaches can achieve significant improvements to the effectiveness of their operations and gain a competitive advantage. This research, influenced by the Systemic Thinking Philosophy, applies a System Dynamics approach in practice by improving the quality control process of a pharmaceutical company. The process is modeled, simulated, analyzed, and improvements are performed to achieve more effective and efficient operations. The results show that all these steps led to a successful identification and optimization of the critical factors, and a significant process improvement was achieved.
The central philosophy of statistical mechanics (stat-mech) and random-matrix theory of complex systems is that while individual instances are essentially intractable to simulate, the statistical properties of random ensembles obey simple universal "laws". This same philosophy promises powerful methods for studying the dynamics of quantum information in ideal and noisy quantum circuits -- for which classical description of individual circuits is expected to be generically intractable. Here, we review recent progress in understanding the dynamics of quantum information in ensembles of random quantum circuits, through a stat-mech lens. We begin by reviewing discoveries of universal features of entanglement growth, operator spreading, thermalization, and chaos in unitary random quantum circuits, and their relation to stat-mech problems of random surface growth and noisy hydrodynamics. We then explore the dynamics of monitored random circuits, which can loosely be thought of as noisy dynamics arising from an environment monitoring the system, and exhibit new types of measurement-induced phases and criticality. Throughout, we attempt to give a pedagogical introduction to various technical methods, and to highlight emerging connections between concepts in stat-mech, quantum information and quantum communication theory.
The point of departure of this article is postmodern philosopher Michel Foucault’s ‘archaeological analysis’ of the history of sexuality, seen from the lens of the South African philosopher Johann Beukes. Foucault points out that since the circulation of the so-called handbooks on penance in the 6th century CE, same-gender sex was seen as a punishable sin. With regard to perspectives before this period, Foucault reflects specifically on the contribution of the Christian theologian Augustine (354–430 CE), and particularly Augustine’s interpretation of the Greek expression para phusin (παρὰ φύσιν) as ‘against nature’ as written in Paul’s letter to the Romans (1:26). He argues that this interpretation by Augustine represents a trend in contemporaneous thinking of non-Christian writers such as Plutarch and Themistios. The aim of this article is to demonstrate that a much more influential stimulus from another non-Christian thinker, namely Artemidorus of Daldis (2nd century CE), created a common context that influenced Augustine’s views and subsequently those on same-gender sex, sexual identity, and heterosexual marriage within the Christian tradition.
Contribution: The article shows how modern-day homophobia and aversion in same-gender sex do not have its primarily ground in Paul’s use of para phusin, but that Augustine and present-day homophobes in the Christian (including the Reformed) tradition do have their roots in a non-Christian conviction without realising its intercultural and non-Christian origins.
This is an experience report on teaching the undergrad lecture Big Data Engineering at Saarland University in summer term 2020 online. We describe our teaching philosophy, the tools used, what worked and what did not work. As we received extremely positive feedback from the students, in the future, we will continue to use the same teaching model for other lectures.
Jeroen van Dongen, Sebastian De Haro, Manus Visser
et al.
This is one of a pair of papers that give a historical-\emph{cum}-philosophical analysis of the endeavour to understand black hole entropy as a statistical mechanical entropy obtained by counting string-theoretic microstates. Both papers focus on Andrew Strominger and Cumrun Vafa's ground-breaking 1996 calculation, which analysed the black hole in terms of D-branes. The first paper gives a conceptual analysis of the Strominger-Vafa argument, and of several research efforts that it engendered. In this paper, we assess whether the black hole should be considered as emergent from the D-brane system, particularly in light of the role that duality plays in the argument. We further identify uses of the quantum-to-classical correspondence principle in string theory discussions of black holes, and compare these to the heuristics of earlier efforts in theory construction, in particular those of the old quantum theory.
According to what has become a standard history of quantum mechanics, in 1932 von Neumann persuaded the physics community that hidden variables are impossible as a matter of principle, after which leading proponents of the Copenhagen interpretation put the situation to good use by arguing that the completeness of quantum mechanics was undeniable. This state of affairs lasted, so the story continues, until Bell in 1966 exposed von Neumann's proof as obviously wrong. The realization that von Neumann's proof was fallacious then rehabilitated hidden variables and made serious foundational research possible again. It is often added in recent accounts that von Neumann's error had been spotted almost immediately by Grete Hermann, but that her discovery was of no effect due to the dominant Copenhagen Zeitgeist. We shall attempt to tell a story that is more historically accurate and less ideologically charged. Most importantly, von Neumann never claimed to have shown the impossibility of hidden variables tout court, but argued that hidden-variable theories must possess a structure that deviates fundamentally from that of quantum mechanics. Both Hermann and Bell appear to have missed this point, moreover, both raised unjustified technical objections to the proof. Von Neumann's argument was basically that hidden-variables schemes must violate the "quantum principle" that physical quantities are to be represented by operators in a Hilbert space. As a consequence, hidden-variables schemes, though possible in principle, necessarily exhibit a certain kind of contextuality.