Adopting an ecological perspective on children’s functioning and psychological well-being, we investigated the association between agency and life satisfaction, and its bearing on trauma symptoms and negative emotions in a group of Bedouin children living in the occupied Palestinian territories. Specifically, we hypothesized that the more children were agentic, the more they would be satisfied with their lives; and that greater life satisfaction would be associated with reduced trauma symptoms. A sample of 286 Bedouin children attending primary schools in four (...) different villages in the Jordan Valley completed the Multidimensional Students’ Life Satisfaction Scale (MSLSS), Positive Affect and Negative Affect Scale for Children (PANAS-C), Children’s Impact of Event Scale (CRIES-13), and the Children’s Hope Scale (CHS). Structural equation modelling was performed to evaluate the cumulative network of direct and indirect effects between children’s agency, life satisfaction, and trauma symptoms. The findings confirmed the key role of life satisfaction in mitigating traumatic reactions. Higher levels of life satisfaction were associated with reduced negative emotions and trauma symptoms, suggesting that agency may be viewed as a pre-determining factor with the potential to protect children from trauma symptoms. We discuss the implications for research and clinical practice. (shrink)

Parte 1. Metodologias empíricas aplicadas ao direito -- Parte 2. O trabalho cotidiano dos juristas -- Parte 3. Os usos políticos do direito -- Parte 4. As profissões jurídicas em movimento -- Parte 5. As transformações sociais e as instituições jurídicas.

The first excitement consequent upon the discovery of an ancient manuscript generally leads to an exaggeration of its importance. This was especially the case with the Veronese Palimpsest, first, because it is the only MS. of the first decade of Livy earlier than the ninth century, and secondly, because it is the only extant MS. for that part of Livy, which is not derived from the Nicomachian recension. Mommsen was naturally prejudiced in favour of the Veronese Palimpsest, which (...) he collated and published, and, when the two families of MSS. differ from one another, he usually decides for the Palimpsest. He used only MPL for his comparison, which is consequently very inadequate. It is possible now, however, with our wider and moreaccurate knowledge of the Nicomachian MSS.,thanks to the patient research of Professor Flamstead Walters and Dr. Conway, more justly to estimate the importance of the Veronese Palimpsest in Livy's first decade. (shrink)

The philosophy of mathematics has been accused of paying insufficient attention to mathematical practice: one way to cope with the problem, the one we will follow in this paper on extensive magnitudes, is to combine the `history of ideas' and the `philosophy of models' in a logical and epistemological perspective. The history of ideas allows the reconstruction of the theory of extensive magnitudes as a theory of ordered algebraic structures; the philosophy of models allows an investigation into the way epistemology (...) might affect relevant mathematical notions. The article takes two historical examples as a starting point for the investigation of the role of numerical models in the construction of a system of non-Archimedean magnitudes. A brief exposition of the theories developed by Giuseppe Veronese and by Rodolfo Bettazzi at the end of the 19th century will throw new light on the role played by magnitudes and numbers in the development of the concept of a non-Archimedean order. Different ways of introducing non-Archimedean models will be compared and the influence of epistemological models will be evaluated. Particular attention will be devoted to the comparison between the models that oriented Veronese's and Bettazzi's works and the mathematical theories they developed, but also to the analysis of the way epistemological beliefs affected the concepts of continuity and measurement. (shrink)

Giuseppe Veronese (1854-1917) est connu pour ses études sur les espaces à plusieurs dimensions ; moins connus sont les écrits « philosophiques », qui concernent les fondements de la géométrie et des mathématiques et qui expliquent les raisons pour la construction d’une géométrie non-archimédienne (une dizaine d’années avant David Hilbert) et la formulation d’un concept de continu, qui contient des éléments infinis et infiniment petits. L’article esquissera quelques traits saillants de son épistémologie et analysera le rapport entre géométrie et (...) intuition spatiale, en comparant les conceptions de l’espace géométrique dans les œuvres de Veronese, Helmholtz et Poincaré. Selon Veronese l’espace intuitif, de même que l’espace géométrique, n’est pas euclidien et il n’a pas un nombre déterminé de dimensions : on peut donc avoir l’intuition aussi bien d’un espace à quatre dimensions que d’un continu non-archimédien. (shrink)

This article was found among the papers left by Prof. Laugwitz (May 5, 1932–April 17, 2000). The following abstract is extracted from a lecture he gave at the Fourth Austrain Symposion on the History of Mathematics (Neuhofen/ybbs, November 10, 1995).About 100 years ago, the Cantor-Veronese controversy found wide interest and lasted for more than 20 years. It is concerned with “actual infinity” in mathematics. Cantor, supported by Peano and others, believed to have shown the non-existence of infinitely small quantities, (...) and therefore he fought against the infinitely large and small numbers in Veronese’s geometry, but also against the non-archimedean systems of Thomae, du Bois-Reymond, and Stolz. As a positive consequence of the controversy the distinction between Cantor’s transfinite arithmetic and the theory of ordered algebraic structures becomes clear. (shrink)

Giuseppe Veronese (1854-1917) est connu pour ses études sur les espaces à plusieurs dimensions ; moins connus sont les écrits « philosophiques », qui concernent les fondements de la géométrie et des mathématiques et qui expliquent les raisons pour la construction d’une géométrie non-archimédienne (une dizaine d’années avant David Hilbert) et la formulation d’un concept de continu, qui contient des éléments infinis et infiniment petits. L’article esquissera quelques traits saillants de son épistémologie et analysera le rapport entre géométrie et (...) intuition spatiale, en comparant les conceptions de l’espace géométrique dans les œuvres de Veronese, Helmholtz et Poincaré. Selon Veronese l’espace intuitif, de même que l’espace géométrique, n’est pas euclidien et il n’a pas un nombre déterminé de dimensions : on peut donc avoir l’intuition aussi bien d’un espace à quatre dimensions que d’un continu non-archimédien. (shrink)

In the first part of the article, Giuseppe Veronese’s concept of arithmetical constructivism is reconstructed from his dispersed remarks. It is pointed out that although for Veronese time is a necessary condition for the construction of natural numbers by an individual subject and the subject cognizes time in an a priori way, it is not a (proto-)intuition of the subject. This is a fundamental difference between the concept proposed by Veronese and the constructivism of Kant and Brouwer. (...) Veronese’s justification of the subject’s ability to cognize infinity, represented in his text by infinite sequences, is analyzed in the second part of the paper. The only condition for the cognition of the infinite sequence is to have a rule according to which its successive terms “follow one another.” The price of the ability to cognize the infinitive “whole” (sequence) may be the uncognizability of certain “parts” (terms of sequence). Infinite sequences, cognizable according to Veronese, are allowed as objects of mathematical research, although they do not meet the condition of constructability. (shrink)

The eminent Veronese physician Gabriele Zerbi held senior positions in three northern Italian cities and was the author of several major books on anatomy, ageing, philosophy and the rol...

This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of (...) Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal. (shrink)

In this paper we examine the contributions of the Italian geometrical school to the Foundations of Projective Geometry. Starting from De Paolis' work we discuss some papers by Segre, Peano, Veronese, Fano and Pieri. In particular we try to show how a totally abstract and general point of view was clearly adopted by the Italian scholars many years before the publication of Hilbert's Grundlagen.We are particularly interested in the interrelations between the Italian and the German schools (mainly the influence (...) of Staudt's and Klein's works). We try also to understand the reason of the steady decline of the Italian school during the twentieth century. (shrink)

Despite the great success of Weierstrass, Dedekind and Cantor in constructing the continuum from arithmetical materials, a number of thinkers of the late 19th and early 20th centuries remained opposed, in varying degrees, to the idea of explicating the continuum concept entirely in discrete terms. These include the mathematicians du Bois-Reymond, Veronese, Poincaré, Brouwer and Weyl, and the philosophers Brentano..

The aim of this paper is to analyze Dimitry Gawronsky’s doctrine of actual infinitesimals. I examine the peculiar connection that his critical idealism establishes between transcendental philosophy and mathematics. In particular, I reconstruct the relationship between Gawronsky’s differentials, Cantor’s transfinite numbers, Veronese’s trans-Archimedean numbers and Robinson’s hyperreal numbers. I argue that by means of his doctrine of actual infinitesimals, Gawronsky aims to provide an interpretation of calculus that eliminates any alleged given element in knowledge.

I will begin by considering some themes from Proust's wonderful essay on Chardin, Chardin and Rembrandt. Proust speaks of the young man ‘of modest means and artistic taste’, his imagination filled with the splendour of museums, of cathedrals, of mountains, of the sea, sitting at table at the end of lunch, nauseated at the ‘traditional mundanity’ of the unaesthetic spectacle before him: the last knife left lying on the half turned-back table cloth, next to the remains of an underdone and (...) tasteless cutlet. He cannot wait to get up and leave, and if he cannot take a train to Holland or Italy, he will at least go to the Louvre to have sight of the palaces of Veronese, the princes of van Dyck and the harbours of Claude. Doing this will, of course, make his return to his home and its familiar surroundings seem yet more drab and exasperating. (shrink)

I will begin by considering some themes from Proust's wonderful essay on Chardin, Chardin and Rembrandt. Proust speaks of the young man ‘of modest means and artistic taste’, his imagination filled with the splendour of museums, of cathedrals, of mountains, of the sea, sitting at table at the end of lunch, nauseated at the ‘traditional mundanity’ of the unaesthetic spectacle before him: the last knife left lying on the half turned-back table cloth, next to the remains of an underdone and (...) tasteless cutlet. He cannot wait to get up and leave, and if he cannot take a train to Holland or Italy, he will at least go to the Louvre to have sight of the palaces of Veronese, the princes of van Dyck and the harbours of Claude. Doing this will, of course, make his return to his home and its familiar surroundings seem yet more drab and exasperating. (shrink)

This essay, by the editor of Common Knowledge, responds to a piece by Dionigi Albera that, in turn, responds to Jeffrey Perl’s introduction, published in May 2017, to CK’s multipart symposium on xenophilia. Albera argues that the ambivalence that Perl observes in many instances of xenophilia needs genealogical explanation, and Albera turns for this purpose to analysis of the relationship between Aphrodite and Ares in Greco-Roman mythology. In the present piece, Perl extends that exploration in analysis of a series of (...) images in which the gods of love and war, along with their illegimate children Eros and Phobos, are given comical and often vulgar treatment by artists ranging from Botticelli and Mantegna, in the fifteenth century; to Titian, Veronese, and Tintoretto, in the sixteenth; to Rubens, Jan Bruegel the Elder, and Poussin, in the seventeenth; to Lagrenée, in the eighteenth; to David and Guillemot, in the nineteenth; to Jeff Koons in our own day. Perl and Albera agree with these artists that the antithetical pair, Aphrodite and Ares, have a fully logical, if furtive relationship in mythology, iconography, and psychology. The idealization to which the comic images respond—that when warriors make love, there is no warfare—is laughed, again and again, out of court. But Perl’s concern, unlike Albera’s, is that this cynicism on the part of artists and advanced intellectuals means that, despite their ostensible preference for peace over conflict, they will always find cause to undermine every effort to make way for peace. (shrink)

Diaristic, mixed notes on: John Ruskin's The Poetry of Architecture (1837) and Modern Painters (1885); Caravaggio, Victorian Aesthetes, G.K. Chesterton, and Tacita Dean; Jay Fellows' Ruskin’s Maze: Mastery and Madness in His Art (1981); Slavoj Žižek at Jack Tilton Gallery, New York, New York, USA, April 23, 2009, “Architectural Parallax: Spandrels and Other Phenomena of Class Struggle”; “Titian, Tintoretto, Veronese: Rivals in Renaissance Venice”, Museum of Fine Arts, Boston, Massachusetts, USA, March 15-August 16, 2009; Janet Harbord, Chris Marker: La (...) Jetée (2009); The Politics of the Envelope, Princeton Envelope Group (PEG), ARC504, Princeton School of Architecture, Princeton, New Jersey, USA, Friday, May 8, 2009; Rhode Island School of Design, Degree Project Reviews, Division of Architecture & Design, Providence, Rhode Island, USA, May 16, 2009; etc. (shrink)

As we know, the sacred books of the three religions are not characterized by a gender-friendly approach. In the very beginning of the Old Testament we find the tale of the Fall of Man, where the serpent tempts Eve, who in turn tempts Adam to commit the original sin: to eat the fruit of the Tree of Knowledge. Eve’s guilt is taken for granted, and rarely discussed. The question of Eve’s guilt was first taken up in Augustine’s De Genesi ad (...) Litteram, and was then later further systematized in Peter Lombard’s Sentences. Isotta Nogarola was a pioneer in taking this discussion beyond university walls, to the intellectual Veronese circles. When Isotta Nogarola pleads for Eve’s case in her Dialogue on the Equal or Unequal Sin of Adam and Eve, she may not be the first to defend Eve, but she has the merit of being a woman who is pleading for a woman’s case. We examine the background of this discussion in Isotta, focusing especially on the scholastic antecedents to this debate. Although most of the quotations cited by Isotta are attributed to early Christian and pagan authors—sources that are typical of humanistic literature—we will demonstrate that many of them are in fact taken from scholastic sources discussing original sin, which are the true immediate sources of Isotta’s dialogue. (shrink)

Some concepts that are now part and parcel of mathematics used to be, at least until the beginning of the twentieth century, a central preoccupation of mathematicians and philosophers. The concept of continuity, or the continuous, is one of them. Nowadays, many philosophers of mathematics take it for granted that mathematicians of the last quarter of the nineteenth century found an adequate conceptual analysis of the continuous in terms of limits and that serious philosophical thinking is no longer required, except (...) perhaps when the question of the continuum is transferred to the arena of set theory where it takes the form of the infamous continuum hypothesis. As Philip Ehrlich has recently shown, this conviction goes back to the early writings of Russell who, in 1903 and then again in later writings, forcefully and eloquently pushed the view that mathematicians had given the final answer to immemorial conundrums arising from the continuous and infinitesimals . This proclamation of victory came with what was announced as the necessary defeat of the notion of the infinitesimal, despite the fact that mathematicians like Thomae, Du Bois-Reymond, Stolz, Bettazi, Veronese, Levi-Civita, and Hahn were investigating mathematical structures containing infinitesimals in a mathematically rigorous and logically consistent manner. In this respect Russell was merely walking in the footsteps of Cantor, and many of Russell's contemporaries were only too keen to keep infinitesimals out of Cantor's paradise. However, although Cantor certainly wanted to send the notion of infinitesimal to Hell, the notion kept a low profile in the mathematical purgatory, making its way in the study of non-Archimedean ordered algebraic systems. Of course, nowadays everyone has heard of Robinson's attempt at resurrecting infinitesimals in analysis in the form of non-standard analysis, but Robinson's work, despite the fact that it had, in …. (shrink)