La distribution des zéros des fonctions L

Selon la philosophie de Katz et Sarnak, la distribution des zéros des fonctions $L$ est prédite par le comportement des valeurs propres de matrices aléatoires. En particulier, le comportement des zéros près du point central révèle le type de symétrie de la famille de fonctions $L$. Une fois la symétrie identifiée, la philosophie de Katz et Sarnak conjecture que plusieurs statistiques associées aux zéros seront modélisées par les valeurs propres de matrices aléatoires du groupe correspondant. Ce mémoire étudiera la distribution des zéros près du point central de la famille des courbes elliptiques sur $\mathbb{Q}[i]$. Brumer a effectué ces calculs en 1992 sur la famille de courbes elliptiques sur $\mathbb{Q}$. Les nouvelles problématiques reliées à la généralisation de ses travaux vers un corps de nombres seront mises en évidence

La distribution des zéros des fonctions L

Selon la philosophie de Katz et Sarnak, la distribution des zéros des fonctions $L$ est prédite par le comportement des valeurs propres de matrices aléatoires. En particulier, le comportement des zéros près du point central révèle le type de symétrie de la famille de fonctions $L$. Une fois la symétrie identifiée, la philosophie de Katz et Sarnak conjecture que plusieurs statistiques associées aux zéros seront modélisées par les valeurs propres de matrices aléatoires du groupe correspondant. Ce mémoire étudiera la distribution des zéros près du point central de la famille des courbes elliptiques sur $\mathbb{Q}[i]$. Brumer a effectué ces calculs en 1992 sur la famille de courbes elliptiques sur $\mathbb{Q}$. Les nouvelles problématiques reliées à la généralisation de ses travaux vers un corps de nombres seront mises en évidence

The ADHD debate and the philosophy of truth

There is ongoing and wide-ranging dispute over the proliferation of childhood behaviour disorders. In particular, the veracity of the category Attention Deficit Hyperactivity Disorder (ADHD), has been the subject of considerable scepticism. With no end to the debate in sight, it will be argued here that the problem might effectively be approached, not by addressing the specific features of ADHD itself, but rather by a philosophical analysis of one of the terms around which this entire problem revolves: that is, the notion of truth. If we state: “It is true that ADHD is a real disorder”, what exactly do we mean? Do we mean that it is an objective fact of nature? Do we mean that it fits seamlessly with other sets of ideas and explanations? Or do we simply mean that it works as an idea in a practical sense? This paper will examine the relationship between some of the dominant models of truth, and the assertions made by those in the field of ADHD. Specifically, the paper will contrast the claim that ADHD is a real disorder, with the claim that ADHD is a product of social governance. The intention is, first, to place some significant qualifications upon the validity of the truth-claims made by ADHD advocates, and second, to re-emphasise the potential and promise of philosophical investigation in providing productive new ways of thinking about some obstinate and seemingly intractable educational problems.

Trial by jury in civil proceedings : “convenience” and the philosophy of the UCPR

In Syddall v National Mutual Life Association of Australasia Limited [2008] QSC 101 Daubney J ordered the action be tried without a jury. His judgment considered the circumstances in which a trial involves any technical, scientific or other issue that can not be “conveniently” considered and resolved by a jury as provided in r 474 of the Uniform Civil Procedure Rules 1999 (Qld)

Self-love and self-liking in the moral and political philosophy of Bernard Mandeville and David Hume

This work offers a novel interpretation of David Hume’s (1711–1776) conception of the conjectural development of civil society and artificial moral institutions. It focuses on the social elements of Hume’s Treatise of human nature (1739–40) and the necessary connection between science of man and politeness, civilised monarchies, social distance and hierarchical structure of civil society. The study incorporates aspects of intellectual history, history of philosophy and book history. In order to understand David Hume’s thinking, the intellectual development of Bernard Mandeville (1670–1733) needs to be accounted for. When put into a historical perspective, the moral, political and social components of Treatise of human nature can be read in the context of a philosophical tradition, in which Mandeville plays a pivotal role. A distinctive character of Mandeville and Hume’s account of human nature and moral institutions was the introduction of a simple distinction between self-love and self-liking. The symmetric passions of self-interest and pride can only be controlled by the corresponding moral institutions. This is also the way in which we can say that moral institutions are drawn from human nature. In the case of self-love or self-interest, the corresponding moral institution is justice. Respectively, concerning self-liking or pride the moral institution is politeness. There is an explicit analogy between these moral institutions. If we do not understand this analogy, we do not understand the nature of either justice or politeness. The present work is divided into two parts. In the first part, ‘Intellectual development of Bernard Mandeville’, it is argued that the relevance of the paradigmatic change in Mandeville’s thinking has been missed. It draws a picture of Mandeville turning from the Hobbism of The Fable of the Bees to an original theory of civil society put forward in his later works. In order to make this change more apparent, Mandeville’s career and the publishing history of The Fable of the Bees are examined comprehensively. This interpretation, based partly on previously unknown sources, challenges F. B. Kaye’s influential decision to publish the two parts of The Fable of the Bees as a uniform work of two volumes. The main relevance, however, of the ‘Intellectual development of Mandeville’ is to function as the context for the young Hume. The second part of the work, ‘David Hume and Greatness of mind’, explores in philosophical detail the social theory of the Treatise and politics and the science of man in his Essays. This part will also reveal the relevance of Greatness of mind as a general concept for David Hume’s moral and political philosophy.

Philosophy as a Path to Happiness : Attainment of Happiness in Arabic Peripatetic and Ismaili Philosophy

The aim of the dissertation is to explore the idea of philosophy as a path to happiness in classical Arabic philosophy. The starting point is in comparison of two distinct currents between the 10th and early 11th centuries, Peripatetic philosophy, represented by al-Fārābī and Ibn Sīnā, and Ismaili philosophy represented by al-Kirmānī and the Brethren of Purity. They initially offer two contrasting views about philosophy in that the attitude of the Peripatetics is rationalistic and secular in spirit, whereas for the Ismailis philosophy represents the esoteric truth behind revelation. Still, they converge in their view that the ultimate purpose of philosophy lies in its ability to lead man towards happiness. Moreover, they share a common concept of happiness as a contemplative ideal of human perfection, which refers primarily to an otherworldly state of the soul s ascent to the spiritual world. For both the way to happiness consists of two parts: theory and practice. The practical part manifests itself in the idea of the purification of the rational soul from its bodily attachments in order for it to direct its attention fully to the contemplative life. Hence, there appears an ideal of philosophical life with the goal of relative detachment from the worldly life. The regulations of the religious law in this context appear as the primary means for the soul s purification, but for all but al-Kirmānī they are complemented by auxiliary philosophical practices. The ascent to happiness, however, takes place primarily through the acquisition of theoretical knowledge. The saving knowledge consists primarily of the conception of the hierarchy of physical and metaphysical reality, but all of philosophy forms a curriculum through which the soul gradually ascends towards a spiritual state of being along an order that is inverse to the Neoplatonic emanationist hierarchy of creation. For Ismaili philosophy the ascent takes place from the exoteric religious sciences towards the esoteric philosophical knowledge. For Peripatetic philosophers logic performs the function of an instrument enabling the ascent, mathematics is treated either as propaedeutic to philosophy or as a mediator between physical and metaphysical knowledge, whereas physics and metaphysics provide the core of knowledge necessary for the attainment of happiness.

Between “the Housewife” and “the Philosophy Professor”: Music, Narration and Address in Ousmane Sembene's Xala

The acclaimed Senegalese filmmaker Ousmane Sembene conceptualised himself as a modern day griot (West African oral performer), producing often didactic films that address a diverse spectatorship. Examining Xala, this paper argues that this address cannot be fully understood without attention to the film’s complex music/image relationships, which refigure classical and modernist film aesthetics to mobilise a discourse that recalls oral performance. In this way, Sembene negotiates the tensions of address generated by a spectatorship that is situated in the culturally hybrid spaces between the literate and the oral, the urban and the rural, and the global and the local.

Absent From the Convention: Libraries, Law and Political Philosophy: John Adams and Thomas Jefferson

Presentation by Professor Mary Sarah Bilder, as commentator, at the conference "John Adams & Thomas Jefferson: Libraries, Leadership & Legacy," held in Boston and Charlottesville, June 21-17, 2009.