In Tough Choices for Teachers: Ethical Challenges in Today's Schools and Classrooms, Infantino and Wilke help student teachers, new teachers, and experienced teachers think more deeply about ethical concerns. The case studies included by the authors involve ethical dilemmas dealing with honesty, integrity, and proper professional behavior.

Illustrating the knowledge and ideas of thinkers such as Mandeville, Hume, Montesquieu and Smith, this book fully investigates the entire panorama of social sciences as well as providing a clear and concise analysis of the history of the social sciences from the point at which evolutionary theory entered the field. Examining the history of culture and humanity, Lorenzo Infantino discusses the 'discovery of society, ' when people stopped seeing behind every social phenomenon the direct action of human and/or divine (...) will, and how the subsequent void was filled by the unintended creation of language, habits, customs, laws and public power. Focussing on the idea that the object of social sciences should be the study of unintended consequences, Infantino also expertly reviews the approach of 'methodological individualism'. Forward-thinking, the book highlights the need for a rule of law in cultural evolution to prevent harm to others and allow a greater freedom of choice when deciding future actions. Providing an in-depth explanation of why the social sciences are needed and highlighting the task of a social scientist, this book will be invaluable for researchers in the fields of politics, economics and sociology. (shrink)

Through a comprehensive analysis of sixteen European legal systems, based on an assessment of national answers to a factual questionnaire, Causation in European Tort Law sheds light on the operative rules applied in each jurisdiction to factual and legal causation problems. It highlights how legal systems' features impact on the practical role that causation is called upon to play, as well as the arguments of professional lawyers. Issues covered include the conditions under which a causal link can be established, rules (...) on contribution and apportionment, the treatment of supervening, alternative and uncertain causes, the understanding of loss-of-a-chance cases, and the standard and the burden of proving causation. This is a book for scholars, students and legal professionals alike. (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 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.

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)

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)

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)

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)

Tough Choices for Teachers examines ethical issues in today’s educational settings using a case study approach. Fourteen descriptive case studies offer readers the opportunity to reflect upon current ethical dilemmas, and pertinent questions provide prompts to improve their decision-making process.

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...

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)

Let be a saturated model of inaccessible cardinality, and let be arbitrary. Let denote the expansion of with a new predicate for. Write for the collection of subsets such that ≡. We prove that if the VC-dimension of is finite then is externally definable.

"Symmetry" was one of the most important methodological themes in 20th-century physics and is probably going to play no lesser role in physics of the 21st century. As used today, there are a variety of interpretations of this term, which differ in meaning as well as their mathematical consequences. Symmetries of crystals, for example, generally express a different kind of invariance than gauge symmetries, though in specific situations the distinctions may become quite subtle. I will review some of the various (...) notions of "symmetry" and highlight some of their uses in specific examples taken from Pauli's scientific oevre. This paper is based on a talk given at the conference "Wolfgang Pauli's Philosophical Ideas and Contemporary Science", May 20.-25. 2007, at Monte Verita, Ascona, Switzerland. (shrink)

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.

Le Traité Théologico-Politique, publié anonymement en 1670, fut sans doute le livre le plus scandaleux du XVIIe siècle, et pour cause : l'emploi d'une méthode critique radicale pour dévoiler les mystères du pouvoir théologique et politique faisait de cet ouvrage un traité aussi stimulant que polémique. Après trois cent cinquante ans, le Traité demeure un modèle de réflexion sur la politique, la philologie, la métaphysique et la religion. Dans ce volume, le lecteur trouvera un commentaire suivi de l'ouvrage. Grâce au (...) travail collectif des vingt-huit contributeurs, il pourra comprendre le détail du discours de Spinoza ainsi que saisir la trame de fond de la pensée spinoziste. L'ouvrage se compose de deux parties : le commentaire proprement dit et une section consacrée aux principaux problèmes qui animent le débat contemporain sur Spinoza. (shrink)

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)

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)

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.

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.

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.