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)

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.

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)

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)

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 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)

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...

Moving from Paris, Pisa, and Oxford to London, Amsterdam, and Cambridge, this essay documents extensive collaborations between anatomists and mathematicians. At a time when no standard way to acknowledge collaboration existed, it is remarkable that in all the cases I discuss anatomists expressed in print their debt to mathematicians. The cases I analyze document an extraordinarily fertile period in the history of anatomy and science and call into question historiographic divisions among historians of science and medicine. I focus on Steno's (...) Myology, showing how his collaboration with mathematician Viviani led to a geometrical treatment of muscular contraction and to an epistemology inspired by Galileo. The collaboration between Steno and Viviani enables us to interpret a major text in the history of anatomy, one whose implications had so far eluded historians. (shrink)

As a reply to the commentary (Humphreys in Found Sci, 2012), we explore the methodological implications of seeing artificial neural networks as generic classification tools, we show in which sense the use of descriptions and models in data analysis is not equivalent to the original empirical use of epicycles in describing planetary motion, and we argue that agnostic science is essentially related to the type of problems we ask about a phenomenon and to the processes used to find answers.

In this paper the affiliation of Lévi-Strauss with the functional structuralism of Trubetzkoy and Jakobson is defined as “explicit linguistics” and the consonance with the works of Franz Boas is also thrown into relief. As “implicit linguistics” is defined his accurate attention to lexical facts, in the case of questions of nomenclature and in particular of the terminology of kinship. As this regards, Lévi-Strauss perfectly captures not only the differences between linguistic systems and anthropological systems, but also their respective integration. (...) In this way he comes to surmount the model itself of the functional structuralism of a certain linguistics which is too predictive. Finally, in homage to the great scholar, two examples are proposed of the integration of linguistics “without adjectives” and anthropology “without adjectives” in relation to the etymology of gr. anthropos, seen from the point of view of a specific sociolinguistic hierarchy and within the frame of the Indo-Mediterranea area, and of the Indo-European name of the woman of marriageable age (gr. gyné) seen in the perspective of the innovative conditions of exogamous marriage. (shrink)

The energy-momentum tensor for a particular matter component summarises its local energy-momentum distribution in terms of densities and current densities. We re-investigate under what conditions these local distributions can be integrated to meaningful global quantities. This leads us directly to a classic theorem by Max von Laue concerning integrals of components of the energy-momentum tensor, whose statement and proof we recall. In the first half of this paper we do this within the realm of Special Relativity and in the traditional (...) mathematical language using components with respect to affine charts, thereby focusing on the intended physical content and interpretation. In the second half we show how to do all this in a proper differential-geometric fashion and on arbitrary space-time manifolds, this time focusing on the group-theoretic and geometric hypotheses underlying these results. Based on this we give a proper geometric statement and proof of Laue's theorem, which is shown to generalise from Minkowski space to space-times with significantly less symmetries. This result, which seems to be new, not only generalises but also clarifies the geometric content and hypotheses of Laue's theorem. A series of three appendices lists our conventions and notation and summarises some of the conceptual and mathematical background needed in the main text. (shrink)

General Relativity offers the possibility to model attributes of matter, like mass, momentum, angular momentum, spin, chirality etc. from pure space, endowed only with a single field that represents its Riemannian geometry. I review this picture of ‘Geometrodynamics’ and comment on various developments after Einstein.

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.

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.

Le cognitivisme localise les phénomènes mentaux dans le cerveau-esprit dans lequel fonctionne une compétence qui mobilise ou transfère d’une situation à l’autre les savoirs qui y sont emmagasinés. Dans cette perspective, une personne compétente se comprend par le cumul de savoirs et de compétences décontextualisés. Par contraste, la perspective de l’énaction localise les phénomènes mentaux dans l’entièreté de la personne en action et en situation, c’est-à-dire dans l’agir réel de la personne en contexte réel. La compétence se comprend alors comme (...) un agir réel qui est à la fois corporel, intentionnel, mental, spatio-temporel, situationnel et dont les fonctions essentielles sont : se disposer, se situer, se positionner et réaliser. Nous argumentons que l’agir réel, qui fonctionne et se développe en situation, traduit mieux ce qu’est une personne compétente que les savoirs et compétences qu’elle accumulerait hors situation. (shrink)

We formalize the notion of isolated objects, and we build a consistent theory to describe their evolution and interaction. We further introduce a notion of indistinguishability of distinct spacetime paths of a unit, for which the evolution of the state variables of the unit is the same, and a generalization of the equivalence principle based on indistinguishability. Under a time reversal condition on the whole set of indistinguishable paths of a unit, we show that the quantization of motion of spinless (...) elementary particles in a general potential field can be derived in this framework, in the limiting case of weak fields and low velocities. Extrapolating this approach to include weak relativistic effects, we explore possible experimental consequences. We conclude by suggesting a primitive ontology for the theory of isolated objects. (shrink)

This paper discusses the merits and faults of a Note by Vittorino Grossi, published in this journal , concerning a new Italian translation of Augustine’s bestseller, City of God, with an introduction by Domenico Marafioti . The Author discusses the divergence of interpretations of Augustine’s works.

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)

As a reply to the commentary (Lenhard in Found Sci, 2012), we stress here that structural understanding of data analysis techniques is the natural counterpart to the lack of understanding of phenomena in agnostic science. We suggest moreover that the dynamics of computational processes, and their parallels with the dynamics of natural processes, will increasingly be, possibly, the driving force of the development of data analysis.

Around the middle of XVI th century, in the Florence of Grand Duke Cosimo I de’ Medici, Bernardo Segni (Firenze, 1504–1558) translated and commented some Aristotelian works in the Florentine vernacular. His works represents a very important innovation in the panorama of Italian Aristotelianism, because they are the product of circles outside the university world and are the first attempt to translate in Italian the works of the great Greek philosopher. In this paper, I’ll examine some aspects of his works, (...) in particular of his translation of Nicomachean Ethics. (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)