Report of the Whitby Literary & Philosophical Society.

26 - 50

Memoirs of the Literary and Philosophical Society of Manchester.

ser.2:v.1 (1805)

The Edinburgh new philosophical journal.

v.46 (1848-1849)

The Edinburgh new philosophical journal.

v.36 (1843-1844)

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.

Deconstructing Purism: Unconscious Drives and Meta-argumentation in Straight Photography

The thesis investigates the nature of the Purist discourse in photography, with the aim of unveiling its lack of a solid theoretical foundation and its unconscious content. Purism outlines the fact that photography is a unique craft, that may not borrow ideas from painting or any other art forms. What makes the Purist discourse suspect and attracts attention to its possible circular style? The fact that the views expressed by its supporters include a frenzied edge, an unnecessary ardor, a combative tone that discloses that there’s something hidden, something that doesn’t serve the purpose of presenting an unbiased philosophical claim

Women at home, at school and in the factory. The particular discourse of domesticity done by the Spanish Escuela Economista (1861-1909)

The texts by the Spanish Economist School (second half of the 19th century) contain an assessment of the role of women in the economy and society that is transgressor in front of the prevailing discourse that defended a unique and exclusive role for all women: being at home and a mother. Most members of that economic trend defended female work in the factories, basing themselves on wage arguments and even asked for a professional training for those who in many cases could not even write and read for the fact of being a woman. The texts of those economists give new ideas about the economic and social role of women in a Spain dominated by a discourse that denied the necessity of female work for the working families.

Altruism - a philosophical analysis

Altruism is a malleable notion that is understood differently in various disciplines. The common denominator of most definitions of altruism is the idea of unidirectional helping behaviour. However, a closer examination reveals that the term altruism sometimes refers to the outcomes of a helping behaviour for the agent and its neighbours - i.e. reproductive altruism - and sometimes to what motivates the agent to help others - i.e. psychological altruism. Since these perspectives on altruism are crucially different, it is important to use a clear terminology to avoid confusion. In particular, we show that the notion of altruism used by biologists profoundly differs from the ones used by philosophers, psychologists and economists in cross-disciplinary debates about human altruism.

Possibilitats i límits de la democràcia deliberativa

La meva investigació s’articula entorn a l’obra del filòsof alemany Jürgen Habermas. L’aportació filosòfica més important de Habermas ha estat l’elaboració d’una racionalitat discursiva. Aquesta nova manera d’entendre la raó com a discurs ha tingut importants repercussions en l’àmbit de la filosofia i de les ciències socials en general. La primera part de la meva investigació analitza l’obra de Habermas, posant èmfasi en el procés de configuració d’aquesta racionalitat discursiva. Aquest primer període culmina amb la presentació de la tesina “Introducció al pensament i l’obra de Jürgen Habermas”. Com a resultat d’aquesta investigació, la meva recerca es centrarà, primer, en les nocions habermasianes de publicitat (Öffentlichkeit) i d’opinió pública (öffentliche Meinung) i, finalment, en l’anomenada democràcia deliberativa. Per tant, la recerca consta de dos part estretament relacionades: (1) un anàlisi del procés de configuració d’una raó discursiva en l’obra de Habermas; (2) una valoració crítica dels límits i les possibilitats de la democràcia deliberativa en les societats contemporànies. Aquesta darrera fase d’investigació –en la qual treballo actualment– s’endinsa en el debat dels “teòrics deliberatius”. Entre d’altres, aprofundeix en les repercussions ètiques i polítiques d’una relació problemàtica entre esfera pública i esfera privada. Desfer aquesta problemàtica passa per repensar l’exigència d’una racionalitat imparcial que, alhora, sigui Desfer aquesta problemàtica capaç de garantir la participació democràtica de la ciutadania en el context actual, on el pluralisme de valors ha esdevingut un dels fenòmens vertebradors de les societats contemporànies.

Victimization in Childhood of Male Sex Offenders: Relationship between Violence Experienced and Subsequent Offenses through Discourse Analysis

This study aims at better understanding how the form of childhood violence experienced and the type of offense subsequently committed affect how sex offenders recall punishments and difficult events. Fifty-four male perpetrators convicted of sexual offenses against children (SOCs) or against adults (SOAs) were interviewed in France, Belgium, and Switzerland using the Lausanne Clinical Interview (Entretien Clinique de Lausanne or LCI). Almost three-quarters of the sex offenders reported having been victimized during childhood. The correspondence analysis identified several factors that differentiated them. Their appraisal of the distressing event, method of coping with and distancing themselves from it, and how they dealt with emotions varied markedly depending on whether they recognized having experienced various forms of violence during childhood and on what type of offense they subsequently committed. Victimization can be identified as much by the events experienced as by their effect on the sex offender's discourse. Identification of these discursive indicators may lead to an improved therapeutic approach for potentially traumatic childhood experiences.