On the applicability of mathematics : philosophical and historical perspectives

The present thesis is a contribution to the debate on the applicability of mathematics; it examines the interplay between mathematics and the world, using historical case studies. The first part of the thesis consists of four small case studies. In chapter 1, I criticize "ante rem structuralism", proposed by Stewart Shapiro, by showing that his so-called "finite cardinal structures" are in conflict with mathematical practice. In chapter 2, I discuss Leonhard Euler's solution to the Königsberg bridges problem. I propose interpreting Euler's solution both as an explanation within mathematics and as a scientific explanation. I put the insights from the historical case to work against recent philosophical accounts of the Königsberg case. In chapter 3, I analyze the predator-prey model, proposed by Lotka and Volterra. I extract some interesting philosophical lessons from Volterra's original account of the model, such as: Volterra's remarks on mathematical methodology; the relation between mathematics and idealization in the construction of the model; some relevant details in the derivation of the Third Law, and; notions of intervention that are motivated by one of Volterra's main mathematical tools, phase spaces. In chapter 4, I discuss scientific and mathematical attempts to explain the structure of the bee's honeycomb. In the first part, I discuss a candidate explanation, based on the mathematical Honeycomb Conjecture, presented in Lyon and Colyvan (2008). I argue that this explanation is not scientifically adequate. In the second part, I discuss other mathematical, physical and biological studies that could contribute to an explanation of the bee's honeycomb. The upshot is that most of the relevant mathematics is not yet sufficiently understood, and there is also an ongoing debate as to the biological details of the construction of the bee's honeycomb. The second part of the thesis is a bigger case study from physics: the genesis of GR. Chapter 5 is a short introduction to the history, physics and mathematics that is relevant to the genesis of general relativity (GR). Chapter 6 discusses the historical question as to what Marcel Grossmann contributed to the genesis of GR. I will examine the so-called "Entwurf" paper, an important joint publication by Einstein and Grossmann, containing the first tensorial formulation of GR. By comparing Grossmann's part with the mathematical theories he used, we can gain a better understanding of what is involved in the first steps of assimilating a mathematical theory to a physical question. In chapter 7, I introduce, and discuss, a recent account of the applicability of mathematics to the world, the Inferential Conception (IC), proposed by Bueno and Colyvan (2011). I give a short exposition of the IC, offer some critical remarks on the account, discuss potential philosophical objections, and I propose some extensions of the IC. In chapter 8, I put the Inferential Conception (IC) to work in the historical case study: the genesis of GR. I analyze three historical episodes, using the conceptual apparatus provided by the IC. In episode one, I investigate how the starting point of the application process, the "assumed structure", is chosen. Then I analyze two small application cycles that led to revisions of the initial assumed structure. In episode two, I examine how the application of "new" mathematics - the application of the Absolute Differential Calculus (ADC) to gravitational theory - meshes with the IC. In episode three, I take a closer look at two of Einstein's failed attempts to find a suitable differential operator for the field equations, and apply the conceptual tools provided by the IC so as to better understand why he erroneously rejected both the Ricci tensor and the November tensor in the Zurich Notebook.

Institutions, Property Rights, and Economic Development in Historical Perspective

Institutions, and more speci cally private property rights, have come to be seen as a major determinant of long-run economic development. We evaluate the case for property rights as an explanatory factor of the Industrial Revolution and derive some lessons for the analysis of developing countries today. We pay particular attention to the role of property rights in the accumulation of physical capital and the production of new ideas. The evidence that we review from the economic history literature does not support the institutional thesis.

The Marginal Productivity Theory Of The Price Of Capital: An Historical Perspective On The Origins Of The Codswallop

Although it might have been expected that, by this point in time, the unacceptability of the marginal productivity theory of the return on capital would be universally agreed, that is evidently not the case. Popular textbooks still propound the dogma to the innocent. This note is presented in the hope that a succinct indication of the origins of the theory it will contribute to a more general appreciation of the unrealistic and illogical nature of this doctrine.

Ghosts in contemporary African diasporic literature : re-visioning history, memory and identity

Starting from the observation that ghosts are strikingly recurrent and prominent figures in late-twentieth African diasporic literature, this dissertation proposes to account for this presence by exploring its various functions. It argues that, beyond the poetic function the ghost performs as metaphor, it also does cultural, theoretical and political work that is significant to the African diaspora in its dealings with issues of history, memory and identity. Toni Morrison's Beloved (1987) serves as a guide for introducing the many forms, qualities and significations of the ghost, which are then explored and analyzed in four chapters that look at Fred D'Aguiar's Feeding the Ghosts (1998), Gloria Naylor's Mama Day (1988), Paule Marshall's Praisesong for the Widow (1983) and a selection of novels, short stories and poetry by Michelle Cliff. Moving thematically through these texts, the discussion shifts from history through memory to identity as it examines how the ghost trope allows the writers to revisit sites of trauma; revise historical narratives that are constituted and perpetuated by exclusions and invisibilities; creatively and critically repossess a past marked by violence, dislocation and alienation and reclaim the diasporic culture it contributed to shaping; destabilize and deconstruct the hegemonic, normative categories and boundaries that delimit race or sexuality and envision other, less limited and limiting definitions of identity. These diverse and interrelated concerns are identified and theorized as participating in a project of "re-vision," a critical project that constitutes an epistemological as much as a political gesture. The author-based structure allows for a detailed analysis of the texts and highlights the distinctive shapes the ghost takes and the particular concerns it serves to address in each writer's literary and political project. However, using the ghost as a guide into these texts, taken collectively, also throws into relief new connections between them and sheds light on the complex ways in which the interplay of history, memory and identity positions them as products of and contributions to an African diasporic (literary) culture. If it insists on the cultural specificity of African diasporic ghosts, tracing its origins to African cultures and spiritualities, the argument also follows gothic studies' common view that ghosts in literary and cultural productions-like other related figures of the living dead-respond to particular conditions and anxieties. Considering the historical and political context in which the texts under study were produced, the dissertation makes connections between the ghosts in them and African diasporic people's disillusionment with the broken promises of the civil rights movement in the United States and of postcolonial independence in the Caribbean. It reads the texts' theoretical concerns and narrative qualities alongside the contestation of traditional historiography by black and postcolonial studies as well as the broader challenge to conventional notions such as truth, reality, meaning, power or identity by poststructuralism, postcolonialism or queer theory. Drawing on these various theoretical approaches and critical tools to elucidate the ghost's deconstructive power for African diasporic writers' concerns, this work ultimately offers a contribution to "speciality studies," which is currently emerging as a new field of scholarship in cultural theory.

Historiografía occidental y mitología prehispánica en la novela histórica latinoamericana

Hacia fines del siglo XX, en Latinoamérica se publica una gran producción de novelas calificadas como históricas, notable cuantitativa y cualitativamente. Sus novedosas propuestas y las diferencias que guarda respecto a las características tradicionales del género, provocan un cuestionamiento crítico respecto a la categoría de novela histórica. En general, las producciones recientes problematizan las posibilidades del conocimiento histórico, como también las posibilidades del lenguaje para expresar ese conocimiento. Además, contienen una fuerte crítica hacia el discurso historiográfico oficial y recurren a la historia, no como producto acabado o dato, sino como procedimiento narrativo y cognoscitivo. Esto les permite trascender la referencia histórica local –sin excluirla – para remitir de manera más amplia a la historiografía y a la historia como portadores de la verdad sobre el pasado. La investigación analiza un corpus de novelas argentinas de finales del siglo pasado indagando los conceptos de historia y ficción propuestos por los textos.

Comparing population distributions from bin-aggregated sample data: an application to historical height data from France

This paper develops a methodology to estimate the entire population distributions from bin-aggregated sample data. We do this through the estimation of the parameters of mixtures of distributions that allow for maximal parametric flexibility. The statistical approach we develop enables comparisons of the full distributions of height data from potential army conscripts across France's 88 departments for most of the nineteenth century. These comparisons are made by testing for differences-of-means stochastic dominance. Corrections for possible measurement errors are also devised by taking advantage of the richness of the data sets. Our methodology is of interest to researchers working on historical as well as contemporary bin-aggregated or histogram-type data, something that is still widely done since much of the information that is publicly available is in that form, often due to restrictions due to political sensitivity and/or confidentiality concerns.

La mort d'Ananias et Saphira (Ac 5,1-11) dans la stratégie narrative de Luc

L'histoire du jugement de Dieu sur Ananias et Saphira (Ac 5.1-11) compte parmi les épisodes les plus pathétiques du livre des Actes. L'art lucanien de la dramatisation atteint ici un sommet. La fin tragique d'Ananias foudroyé par la parole dénonciatrice de Pierre, son enterrement hâtif, puis la venue de Saphira ignorante du drame, son mensonge public suivi de sa mort annoncée sur un ton d'humour noir (5.9b): l'effet pragmatique cherché par le narrateur est programmé par le scénario; il s'inscrit aussi dans le texte lui-même: 'un grand effroi saisit ceux qui l'entendaient' (5.5, 11). L'histoire est destinée à provoquer la crainte.

Saul's Conversion (Acts 9-22-26) and the Multiplication of Narrative in Acts

(Résumé de l'ouvrage) The essays in this collection come from a research symposium involving the universities of Manchester and Lausanne. The essays cover a wide range of mutually-enriching approaches to the study of the Lukan writings. Aspects considered include Luke's use of the term 'Son of Man', his use of scripture, his literary achievements, and the issue of 'godfearers' in Acts.

L'hystérie : une entité historique, un trouble psychiatrique ou une maladie neurologique? [Hysteria : an historical entity, a psychiatric condition or a neurological disease?]

Il a été suggéré que l'hystérie avait disparu et n'était qu'un concept ancien, stigmatisant et péjoratif, voire erroné, reflétant l'incapacité de la communauté médicale à établir parfois un diagnostic. Actuellement ces troubles, appelés troubles dissociatifs ou de conversion, restent pourtant une réalité clinique fréquente et invalidante pour les patients. Plusieurs études et revues ont tenté de mieux décrire la présentation clinique, mais également de mieux comprendre les mécanismes neurobiologiques impliqués dans ces troubles grâce au développement de certaines techniques d'imagerie cérébrale. Si les corrélats neurobiologiques sont mieux compris, des traitements efficaces manquent encore et seule une prise en charge multidisciplinaire (généralistes, neurologues et psychiatres) et individualisée peut apporter un bénéfice au patient. It has been suggested that hysteria had waned and was an old-fashioned, stigmatizing and false concept, reflecting the incapacity of the medical community to establish a diagnosis in certain situations. Nowadays, however, those disturbances, now referred to as conversion or dissociative disorders, still remain a frequent and incapacitating condition that every clinician faces. These past decades, several studies have tried to better describe their clinical presentation and their neurobiological mechanisms, with the help of the development of new neuroimaging techniques. If the neurobiological correlates are now better understood, efficient treatments are still lacking and only a multidisciplinary (general practitioners, neurologists and psychiatrists) and individually-tailored therapy might be beneficial to the patients.

Entrer dans le monde du récit biblique en suivant l'analyse narrative

L'analyse narrative permet d'apprécier comment une théologie se dit en narrativité. L'analyse narrative fait réaliser que la construction d'une intrigue, le dispositif d'un réseau de personnages ou la gestion de la temporalité sont autant d'indicateurs de l'intention théologique qu'un énoncé kérygmatique ou une confession de foi. C'est rendre justice aux auteurs bibliques que s'instruire des outils dont ils ont usé pour construire leur récit, quand bien même la théorisation narratologique leur était étrangère. Enfin, l'analyse narrative offre un appareil de lecture et un métalangage simple

The New Institutions of Transatlantic Aviation

This article focuses on the institutions of transatlantic aviation since 1945, and aims at extracting from this historical process topical policy implications. Using the methodology of an analytic narrative, we describe and explain the creation of the international cartel institutions in the 1940s, their operation throughout the 1950s and 60s, their increasing vulnerability in the 1970s, and then the progressive liberalization of the whole system. Our analytic narrative has a natural end, marked by the signing of an Open Skies Agreement between the US and the EU in 2007. We place particular explanatory power on (a) the progressive liberalization of the US domestic market, and (b) the active role of the European Commission in Europe. More specifically, we explain these developments using two frameworks. First, a “political limit pricing” model, which seemed promising, then failed, and then seemed promising again because it failed. Second, a strategic bargaining model inspired by Susanne Schmidt’s analysis of how the European Commission uses the threat of infringement proceedings to force member governments into line and obtain the sole negotiating power in transatlantic aviation.

The value of 'positive' clinical signs for weakness, sensory and gait disorders in conversion disorder: a systematic and narrative review.

Experts in the field of conversion disorder have suggested for the upcoming DSM-V edition to put less weight on the associated psychological factors and to emphasise the role of clinical findings. Indeed, a critical step in reaching a diagnosis of conversion disorder is careful bedside neurological examination, aimed at excluding organic signs and identifying 'positive' signs suggestive of a functional disorder. These positive signs are well known to all trained neurologists but their validity is still not established. The aim of this study is to provide current evidence regarding their sensitivity and specificity. We conducted a systematic search on motor, sensory and gait functional signs in Embase, Medline, PsycINfo from 1965 to June 2012. Studies in English, German or French reporting objective data on more than 10 participants in a controlled design were included in a systematic review. Other relevant signs are discussed in a narrative review. Eleven controlled studies (out of 147 eligible articles) describing 14 signs (7 motor, 5 sensory, 2 gait) reported low sensitivity of 8-100% but high specificity of 92-100%. Studies were evidence class III, only two had a blinded design and none reported on inter-rater reliability of the signs. Clinical signs for functional neurological symptoms are numerous but only 14 have been validated; overall they have low sensitivity but high specificity and their use should thus be recommended, especially with the introduction of the new DSM-V criteria.