In December 1924 Wolfgang Pauli proposed the idea of an inner degree of freedom of the electron, which he insisted should be thought of as genuinely quantum mechanical in nature. Shortly thereafter Ralph Kronig and, independently, Samuel Goudsmit and George Uhlenbeck took up a less radical stance by suggesting that this degree of freedom somehow corresponded to an inner rotational motion, though it was unclear from the very beginning how literal one was actually supposed to take this picture, since it (...) was immediately recognised that it would very likely lead to serious problems with Special Relativity if the model were to reproduce the electron's values for mass, charge, angular momentum, and magnetic moment. However, probably due to the then overwhelming impression that classical concepts were generally insufficient for the proper description of microscopic phenomena, a more detailed reasoning was never given. In this contribution I shall investigate in some detail what the restrictions on the physical quantities just mentioned are, if they are to be reproduced by rather simple classical models of the electron within the framework of Special Relativity. It turns out that surface stresses play a decisive role and that the question of whether a classical model for the electron does indeed contradict Special Relativity can only be answered on the basis of an exact solution, which has hitherto not been given. (shrink)

We consider the problem of uniqueness of certain simultaneity structures in flat spacetime. Absolute simultaneity is specifiled to be a non-trivial equivalence relation which is invariant under the automorphism group Aut of spacetime. Aut is taken to be the identity-component of either the inhomogeneous Galilei group or the inhomogeneous Lorentz group. Uniqueness of standard simultaneity in the first, and absence of any absolute simultaneity in the second case are demonstrated and related to certain group theoretic properties. Relative simultaneity with respect (...) to an additional structure X on spacetime is specified to be a non-trivial equivalence relation which is invariant under the subgroup in Aut that stabilises X. Uniqueness of standard Einstein simultaneity is proven in the Lorentzian case when X is an inertial frame. We end by discussing the relation to previous work of others. (shrink)

We characterize the collapse of Buss' bounded arithmetic in terms of the provable collapse of the polynomial time hierarchy. We include also some general model-theoretical investigations on fragments of bounded arithmetic.

Numerical tables are important objects of study in a range of fields, yet they have been largely ignored by historians of science. This paper contrasts and compares ways in which numerical tables were used by Galileo and Mersenne, especially in the Dialogo and Harmonie Universelle. I argue that Galileo and Mersenne used tables in radically different ways, though rarely to present experimental data. Galileo relied on tables in his work on error theory in day three of the Dialogo and also (...) used them in a very different setting in the last day of the Discorsi. In Mersenne's case they represent an important but so far unrecognized feature of his notion of universal harmony. I conclude by presenting a classification of different ways in which tables were used within the well-defined disciplinary and temporal boundaries of my research. In doing so, however, I provide a useful tool for extending similar investigations to broader domains. (shrink)

Perhaps no philosopher is more of a conundrum than Nietzsche, the solitary rebel, poet, wayfarer, anti-revolutionary Aufklärer and theorist of aristocratic radicalism. His accusers identify in his 'superman' the origins of Nazism, and thus issue an irrevocable condemnation; his defenders pursue a hermeneutics of innocence founded ultimately in allegory. In a work that constitutes the most important contribution to Nietzschean studies in recent decades, Domenico Losurdo instead pursues a less reductive strategy. Taking literally the ruthless implications of Nietzsche's anti-democratic (...) thinking - his celebration of slavery, of war and colonial expansion, and eugenics - he nevertheless refuses to treat these from the perspective of the mid-twentieth century. In doing so, he restores Nietzsche's works to their complex nineteenth-century context, and presents a more compelling account of the importance of Nietzsche as philosopher than can be expected from his many contemporary apologists. (shrink)

Great historical crises oblige us to choose not between violence and nonviolence, but between two different forms of violence. Nonviolent movements are no exception to this rule. In the US, with the outbreak of the War of Secession, the Christian-nonviolent movement was obliged to choose between the violence of the Union-army and the violence of slavery. With the outbreak of World-War One, Lenin chose revolution, while, in India, Gandhi became the ‘recruiting agent-in-chief’ for the British army. At that moment, he (...) struggled not for the general emancipation of colonial peoples, but only for the co-optation of the Indian people under the ruling races, and this co-optation was to be gained on the battlefield. While in the past, in spite of their mistakes and oscillations, the protagonists of nonviolence were an integral part of the anticolonialist movement, today nonviolence is the watchword of imperialism, which tries to discredit as violent its enemies and challengers. (shrink)

Resumo: Palavras-chave: : Keywords: Child literature. Female subject. Representation. The child literature is inhabited by female characters as central figures of the narrative, some of them famous and popular. The decade of 1980 saw the raise of authors who introduce works that have recognized aesthetic value in which female characters play a prominent role. For example, Isabel (Bel), narrator character from the work Bisa Bia, Bisa Bel (1981), by Ana Maria Machado, who is lead through a path toward her autonomy. (...) This paper is concerned with the representation of a female subject who even in its early age is able to establish a dialogue between different epochs, presenting different women perspectives, the old one, Bisa Bia, XIX century representative, and the other one, modern, independent, from the late XX century. Literatura infantil. Sujeito feminino. Representação. A literatura infantil encontra-se povoada de personagens femininas como figuras centrais de narrativas, algumas delas, famosas e populares. A partir de 1980, surgiram autores que apresentam obras de reconhecido valor estético, nas quais personagens femininas mirins têm um lugar de destaque. Fala-se, por exemplo, de Isabel (Bel), personagem narradora da obra Bisa Bia, Bisa Bel (1981), de Ana Maria Machado, que percorre um caminho rumo à autonomia. O presente trabalho volta-se para a representação de um sujeito feminino que, ainda em tenra idade, consegue estabelecer um diálogo entre épocas diferentes, apresentando visões diversas da mulher, uma antiga, Bisa Bia, típica do século XIX, e outra, Bel, moderna, independente, do fim do século XX. (shrink)

Il presente numero di “Rivista di estetica” raccoglie diversi contributi che intendono riflettere oggi sui limiti e sulle possibilità di un approccio estetico-filosofico alle nuove istanze (sia tecniche che narrative) che ci giungono da questo oggetto sempre da identificare chiamato film. Come si sa, il cinema, fin dalle sue origini, ha generato un complesso insieme di discorsi intorno a sé. Il cinema è stato cioè continuamente trattato, discusso, analizzato, fatto oggetto di studio, dalla st...

The present essay seeks to analyze the reflections on cinematographic art proposed by Jean-Luc Nancy, referring in particular to his L’Évidence du film. Abbas Kiarostami (2001) as well as to other studies where the author reconsiders the concepts of image and gaze. The specifity of films lies in “evidence”, which is a way to affirm the finite character of existence-presence. Cinema addresses the world without any form of realism. It is reality itself to open out to the image. What results (...) is a possible gaze which is no longer on representation and nor can it be a representative gaze. This gaze does not look at any object; the very act of seeing can be seen through it. (shrink)

Despite the burgeoning literature on the governance and impact of cross-sector partnerships in the past two decades, the debate on how and when these collaborative arrangements address globally relevant problems and contribute to systemic change remains open. Building upon the notion of wicked problems and the literature on governing such wicked problems, this paper defines harnessing problems in multi-stakeholder partnerships as the approach of taking into account the nature of the problem and of organizing governance processes accordingly. The paper develops (...) an innovative analytical framework that conceptualizes MSPs in terms of three governance processes harnessing three key dimensions of wicked problems. The Roundtable on Sustainable Palm Oil provides an illustrative case study on how this analytical framework describes and explains organizational change in partnerships from a problem-based perspective. The framework can be used to better understand and predict the complex relationships between MSP governance processes, systemic change and societal problems, but also as a guiding tool in organizing governance processes to continuously re-assess the problems over time and address them accordingly. (shrink)

The Case for a Critique of the Category of Totalitarianism. In this article Domenico Losurdo sketches a history of the category of totalitarianism, rehearsing the various shifts it has been subject to since the October revolution. While the roots of the notion are to be located both in the violence inflected by the colonial enterprise upon indigenous populations and the violence exercised at the very heart of the capitalist metropolis, upon the poor and the outcast, such violence did take (...) on a number of unprecedented characteristics in the twentieth century phenomenon of total war. The imperatives of the cold war were subsequently to lead western liberals to the formulation of a strange indictment of the revolutionary. (shrink)

On his way to General Relativity (GR) Einstein gave several arguments as to why a special relativistic theory of gravity based on a massless scalar field could be ruled out merely on grounds of theoretical considerations. We re-investigate his two main arguments, which relate to energy conservation and some form of the principle of the universality of free fall. We find that such a theory-based a priori abandonment not to be justified. Rather, the theory seems formally perfectly viable, though in (...) clear contradiction with (later) experiments. (shrink)

In this paper we argue that data science is a coherent and novel approach to empirical problems that, in its most general form, does not build understanding about phenomena. Within the new type of mathematization at work in data science, mathematical methods are not selected because of any relevance for a problem at hand; mathematical methods are applied to a specific problem only by `forcing’, i.e. on the basis of their ability to reorganize the data for further analysis and the (...) intrinsic richness of their mathematical structure. In particular, we argue that deep learning neural networks are best understood within the context of forcing optimization methods. We finally explore the broader question of the appropriateness of data science methods in solving problems. We argue that this question should not be interpreted as a search for a correspondence between phenomena and specific solutions found by data science methods; rather, it is the internal structure of data science methods that is open to precise forms of understanding. (shrink)

This article tries to show the strict interdependence of the concepts of text, time, and truth in relation to textual transmission. It develops the thesis that the identity of the text is a function of a series of actors working on the historic, cultural, religious, and other levels. It offers the example of the origination of the Old Testament, which is considered the real foundational act of Western practices of identity construction/reconstruction. This event generated the metaphysics of the text that (...) produced the overlapping of theological and philological truth. Nonetheless, the digital dimension seems potentially able to call into crisis the pact of identity that is based on the assumed stability of the written document and the idea of time that derives from it. The present scenario sees a tension between the data preservation/retrieval paradigm and the creative/performative style of online writing. We are facing a dialogue and interaction with and between machines that the methods and traditional tools of the humanist sciences find increasingly difficult to understand, describe, and map. In questo articolo si cerca di mostrare la stretta interdipendenza dei concetti di testo, tempo e verità in relazione alla storia della trasmissione dei testi. Viene avanzata la tesi che l’identità del testo sia funzione di una serie di attori che agiscono sul piano storico, culturale, religioso, ecc., e a tale proposito viene portato l’esempio della nascita dell’Antico Testamento, vero atto fondativo delle pratiche occidentali di costruzione/ricostruzione dell’identità. Dalla metafisica del testo generata da questo evento scaturisce la sovrapposizione di verità teologica e verità filologica. Ma la dimensione digitale sembra potenzialmente in grado di mettere in crisi il patto identitario fondato sulla presunta stabilità del documento scritto e sulla concezione tempo che ne deriva. Lo scenario presente vede una tensione fra il paradigma della conservazione/retrieval dei dati e quello produttivo-performativo delle scritture online. Un dialogo e un’interazione con e fra le macchine che i metodi e gli strumenti tradizionali delle scienze umanistiche fanno sempre più fatica a comprendere, descrivere, mappare. (shrink)

This article delves into Blaise Pascal’s religious philosophy, focusing on his use of the phrase “Scio cui credidi” (I know whom I have believed) to explore his understanding of faith. It analyzes Pascal’s “Memorial” and the “Summary of the Life of Jesus Christ”, highlighting how Christ is central to Pascal’s belief system. The discussion reveals the transformational nature of Pascal’s faith, particularly after his mystical experience on November 23, 1654. This experience is crucial in understanding his shift from a philosophical (...) to a deeply personal, Christ-centered faith. The article underscores Pascal’s journey from a scientific and philosophical perspective to an intimate, emotional resonance with Christian faith, demonstrating how his personal encounters with the divine profoundly shaped his religious perspective. (shrink)

Starting from the works by Aselli on the milky veins and Harvey on the motion of the heart and the circulation of the blood, the practice of vivisection witnessed a resurgence in the early modern period. I discuss some of the most notable cases in the century spanning from Aselli’s work to the investigations of fluid pressure in plants and animals by Stephen Hales. Key figures in my study include Johannes Walaeus, Jean Pecquet, Marcello Malpighi, Reinier de Graaf, Richard Lower, (...) Anton Nuck, and Anton de Heide. Although vivisection dates from antiquity, early modern experimenters expanded the range of practices and epistemic motivations associated with it, displaying considerable technical skills and methodological awareness about the problems associated with the animals being alive and the issue of generalizing results to humans. Many practitioners expressed great discomfort at the suffering of the animals; however, many remained convinced that their investigations were not only indispensable from an epistemic standpoint but also had potential medical applications. Early modern vivisection experiments were both extensive and sophisticated and cannot be ignored in the literature of early modern experimentation or of experimentation on living organisms across time. (shrink)

We show that every model of IΔ0 has an end extension to a model of a theory where log-space computable function are formalizable. We also show the existence of an isomorphism between models of IΔ0 and models of linear arithmetic LA.

Cassirer’s concept of symbolic forms represents a cultural-philosophical approach in which specific modes of objectification, the symbolic forms themselves, establish an independent truth. This truth does not consist in a purely analytical truth, but in the fact that we live along these symbolic forms in a specific stubbornness. When we use language, we live and experience language in its specific autonomy. The same applies to the other symbolic forms developed by Cassirer. Both before the cultural-philosophical phase of creation and within (...) the philosophy of symbolic forms, Cassirer refers to mathematics several times. An interesting tension arises as to whether Cassirer could have understood mathematics as a symbolic form in its own right. On the one hand, cultural-historical considerations in Cassirer’s work speak in favour of this; on the other hand, Cassirer embeds mathematics as a mere formal science in physics and thus in the philosophical form of science as a whole. The article explores this tension—mathematics as a symbolic form—and shows that only indications within the framework of the historical-hermeneutical treatment would speak in favour of such an interpretation. Furthermore, the article argues that a specific, cultural-historical semiotics can be considered for mathematics in Cassirer’s work. (shrink)

This paper explores the relationship between business experience in cross-sector partnerships and the co-creation of what we refer to as ‘dynamic capabilities for stakeholder orientation,’ consisting of the four dimensions of sensing, interacting with, learning from and changing based on stakeholders. We argue that the co-creation of dynamic capabilities for stakeholder orientation is crucial for CSPs to create societal impact, as stakeholder-oriented organizations are more suited to deal with “wicked problems,” i.e., problems that are large, messy, and complex. By means (...) of a grounded theory approach of inductive research, we collected and interpreted data on four global agri-food companies which have heterogeneous experience in participating in CSPs. The results of this paper highlight that only companies’ capability of interacting with stakeholders continually increases, while their capabilities of sensing, learning from, and changing based on stakeholders first increase and then decrease as companies gain more experience in CSP participation. To a large extent, this can be attributed to the development of corporate strategies on sustainability after a few years of CSP participation, which entails a shift from a reactive to a proactive attitude towards sustainability issues and which may decrease the need or motivation for stakeholder orientation. These findings open up important issues for discussion and for future research on the impact of CSPs in a context of wicked problems. (shrink)

The relations between the Iranian, in particular Zoroastrian, and Jewish apocalyptic literature as well as their mutual influences have, since the beginning of the twentieth century, constituted a rich and exciting battlefield for the scholars of these respective traditions. This article aims to present some topics concerning the definition of Iranian apocalyptics and its relation with its Jewish counterpart, as well as to establish an updated starting point for a new scholarly debate.

1. Itinerari cinquecenteschi -- 2. Itinerari secenteschi.

We present some algebraic tools useful to the study of the expressive power of bounded formulas in second-order arithmetic (alternatively, second-order formulas in finite models). The techniques presented here come from Boolean circuit complexity and are adapted to the context of arithmetic. The purpose of this article is to expose them to a public with interests ranging from arithmetic to finite model theory. Our exposition is self-contained.