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.

Prof. Hugo de Souza Lopes and the modern system of Sarcophagidae (Diptera)

Prof. Dr. Hugo de Souza Lopes is one of the authors of the phylogenetic classification of Sarcophagidae, especially Sarcophaginae. In this paper I present the taxonomic key of the tribes of Sarcophaginae according to his opinion; a list of the 48 genera and subgenera and the 356 species described by Prof. Lopes; and a review of subtribal construction of tribe Sarcophagini with a key of the subtribes. One new subtribe Boettcheriiscina Verves, subtr. nov. and two new monotypic genera (Mufindia Verves, gen. nov., and Sabiella Verves, gen. nov.) are described. The role of Prof. Lopes in the knowledge of taxonomy and ecology of American, Oriental, Australian and Oceanic Sarcophagidae is illumined.

The Adoption of agricultural credit cooperativism in Spain (1890-1935) : solidarity from below?

The spread of agrarian credit cooperativism in Spain (1890-1934) was done under a variety of ideological and economic orientations. This article focuses on the construction of a few tools and indicators to explain the characteristics of agricultural credit cooperatives. An analysis of financial operations of rural savings banks is related with socio-political aspects that influenced their development; This analysis helps us to explain the relative success of German credit cooperative models adopted in the context of Spanish agriculture, as happened on European periphery.

La participation des consommateurs à la construction de l'autorité des normes internationales : vers une économie politique internationale de la traduction

Cette thèse explore les implications politiques de la montée en puissance des normes internationales sur nos sociétés contemporaines et pose la problématique des dynamiques participatives des représentants des consommateurs au sein des formes de pouvoir non étatique à l'aide du cas de l'Organisation internationale de normalisation (ISO). Le renforcement du pouvoir des normes internationales et autres spécifications techniques soulève d'importants enjeux démocratiques qui portent aussi bien sur la représentativité des acteurs qui les élaborent, sur l'articulation des prérogatives publiques et privées dans la gouvernance de la mondialisation, que sur le rôle de l'expertise dans la reconnaissance de ces nouvelles formes de pouvoir. La participation du monde associatif intervient sur ces différents enjeux de manière complexe. Cette recherche s'inscrit à la suite des études en relations internationales/économie politique internationale sur les formes d'autorité non étatique et s'inspire du concept de traduction issu de la sociologie des sciences et techniques pour mettre en lumière le rôle des spécifications techniques dans la construction d'une société de consommation centrée sur la liberté de choix et la façon dont les associations de consommateurs se saisissent des arènes de normalisation pour y faire valoir des préoccupations collectives, leur expertise et leur identité. Cette thèse défend l'idée que les consommateurs participent à la construction de l'autorité des normes internationales par leur rôle dans la traduction qui permet de relier les spécifications techniques au fonctionnement des marchés, au cadre réglementaire de la loi et aux préoccupations sociétales. L'analyse repose sur une observation ethnographique des délibérations d'un comité technique de l'ISO, une recherche-­‐action, la réalisation d'entretiens et la consultation de documents d'archives de l'ISO. -- This thesis explores the political significance of the rise of international standards on contemporary societies and questions the participatory dynamics of consumers' representatives within nonstate forms of power, using the case of the International organization for standardization (ISO). The power granted to international standards and other technical specifications raises important democratic issues regarding the representativity of standard-­‐ writers, the public-­‐private relationships involved in this form of governance or the expertise sustaining the recognition of such new forms of power. The participation of civil society associations affect such issues in complex ways. This research relies on international relations/international political economy approaches of nonstate authority and takes inspiration from the concept of translation developed by science and technology studies to highlight the crucial role played by technical specifications in building a consumer society based on the freedom of choice as well as how consumers' associations take stock of standardization arenas to promote collective issues and claim their expertise and identity. This thesis argues that consumers contribute to the construction of the authority of international standards through their role in the translation that links international standards to the market society, the regulatory state as well as to societal preoccupation. The analysis is based on an ethnographic observation of deliberations within an ISO technical committee, a research-­‐action, interviews as well as on the consultation of ISO archives.

On rigid analytic uniformizations of Jacobians of Shimura curves

The main goal of this article is to give an explicit rigid analytic uniformization of the maximal toric quotient of the Jacobian of a Shimura curve over Q at a prime dividing exactly the level. This result can be viewed as complementary to the classical theorem of Cerednik and Drinfeld which provides rigid analytic uniformizations at primes dividing the discriminant. As a corollary, we offer a proof of a conjecture formulated by M. Greenberg in hispaper on Stark-Heegner points and quaternionic Shimura curves, thus making Greenberg's construction of local points on elliptic curves over Q unconditional.

DNA polymorphism of schistosomes and their snail hosts

Analysis of the genomes of schistosomes and one of their intermediate hosts, Biomphalaria glabrata, using Random Amplified Polymorphic DNA (RAPD) demonstrated that intraspecific genetic polymorphism in the parasite is limited but in the snail is highly pronounced. This suggests an important role for the snail in the determination of the epidemiology of the disease. In addition to their intraspecific stability, schistosome derived RAPDs exhibit a high level of interspecific polymorphism and are thus ideal for the construction of phylogenetic trees. For the detection of intraspecific polymorphisms extensive variation in the mitochondrial DNA is being exploited for the development of a PCR based test for Schistosoma mansoni. Gene level polymorphisms are being analyzed by Low Stringency Single Specific Primer PCR.

A critical application of securitization theory: overcoming the normative dilemma of writing security

This article addresses the normative dilemma located within the application of `securitization,’ as a method of understanding the social construction of threats and security policies. Securitization as a theoretical and practical undertaking is being increasingly used by scholars and practitioners. This scholarly endeavour wishes to provide those wishing to engage with securitization with an alternative application of this theory; one which is sensitive to and self-reflective of the possible normative consequences of its employment. This article argues that discussing and analyzing securitization processes have normative implications, which is understood here to be the negative securitization of a referent. The negative securitization of a referent is asserted to be carried out through the unchallenged analysis of securitization processes which have emerged through relations of exclusion and power. It then offers a critical understanding and application of securitization studies as a way of overcoming the identified normative dilemma. First, it examines how the Copenhagen School’s formation of securitization theory gives rise to a normative dilemma, which is situated in the performative and symbolic power of security as a political invocation and theoretical concept. Second, it evaluates previous attempts to overcome the normative dilemma of securitization studies, outlining the obstacles that each individual proposal faces. Third, this article argues that the normative dilemma of applying securitization can be avoided by firstly, deconstructing the institutional power of security actors and dominant security subjectivities and secondly, by addressing countering or alternative approaches to security and incorporating different security subjectivities. Examples of the securitization of international terrorism and immigration are prominent throughout.

A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems

In this paper we consider a representative a priori unstable Hamiltonian system with 2+1/2 degrees of freedom, to which we apply the geometric mechanism for diffusion introduced in the paper Delshams et al., Mem.Amer.Math. Soc. 2006, and generalized in Delshams and Huguet, Nonlinearity 2009, and provide explicit, concrete and easily verifiable conditions for the existence of diffusing orbits. The simplification of the hypotheses allows us to perform explicitly the computations along the proof, which contribute to present in an easily understandable way the geometric mechanism of diffusion. In particular, we fully describe the construction of the scattering map and the combination of two types of dynamics on a normally hyperbolic invariant manifold.

Uranium reserve, nuclear fuel cycle delusion, CO2 emission from the sea, and electricity supply: reflections after the fuel meltdown of Fukushima nuclear power units

The Great Tohoku-Kanto earthquake and resulting tsunami has brought considerable attention to the issue of the construction of new power plants. We argue in this paper, nuclear power is not a sustainable solution to energy problems. First, we explore the stock of uranium-235 and the different schemes developed by the nuclear power industry to exploit this resource. Second, we show that these methods, fast breeder and MOX fuel reactors, are not feasible. Third, we show that the argument that nuclear energy can be used to reduce CO2 emissions is false: the emissions from the increased water evaporation from nuclear power generation must be accounted for. In the case of Japan, water from nuclear power plants is drained into the surrounding sea, raising the water temperature which has an adverse affect on the immediate ecosystem, as well as increasing CO2 emissions from increased water evaporation from the sea. Next, a short exercise is used to show that nuclear power is not even needed to meet consumer demand in Japan. Such an exercise should be performed for any country considering the construction of additional nuclear power plants. Lastly, the paper is concluded with a discussion of the implications of our findings.

The First Christian Historian. Writing the "Acts of the Apostles"

As the first historian of Christianity, Luke's reliability is vigorously disputed among scholars. The author of the Acts is often accused of being a biased, imprecise, and anti-Jewish historian who created a distorted portrait of Paul. Daniel Marguerat tries to avoid being caught in this true/false quagmire when examining Luke's interpretation of history. Instead he combines different tools - reflection upon historiography, the rules of ancient historians and narrative criticism - to analyse the Acts and gauge the historiographical aims of their author. Marguerat examines the construction of the narrative, the framing of the plot and the characterization, and places his evaluation firmly in the framework of ancient historiography, where history reflects tradition and not documentation. This is a fresh and original approach to the classic themes of Lucan theology: Christianity between Jerusalem and Rome, the image of God, the work of the Spirit, the unity of Luke and the Acts.

Family-based affirmative action? Subversion and resilience strategies of gay father families

The present doctoral dissertation is aimed at analyzing how and with what consequences gay father families and their children’s schools negotiate possible differences in the construction of family and gender at home and in the families’ social milieus. This objective fits in with the broader goal of researching how family-school interactons are influenced by the social context such as hegemonic masculinity (Connell, 2002). The thesis is based on qualitative fieldwork carried out with 18 nonheterosexual parent families in Spain, comprising 30 interviews with 44 people. The principal participant group were 14 de novo (adoptive and surrogacy) gay father families with resident preadolescent children. The findings revealed that all the de novo families assumed open communication strategies at school with inclusive consequences: apart from incidental questions and reactions of surprise, the children did not suffer homophobic bullying. The analisis showed that the necessary condition for inclusion was not the open communication but rather illocutionary orientation (Habermas, 1984; Soler & Flecha, 2010), understood as the parents’ sensitivity to the attitudes of their children and schools. The schools received the families in an inclusive manner, which, however, was only receptive and not proactive, therefore some of the families (reconstituted ones), coerced by the social context, got excluded. Gender relations at home were predominantly androgynous, and outside home predominantly traditional, yet the children negotiated this difference with inclusive consequences. They participated in hegemonic collective practices, thus confirming the thesis on the similarity between homo- and heterosexual-parent families (Golombok, 2006). Consistently, also the families’ identity politics was “assimilationist” and non-queer. Admittedly, the analisis showed that such a politics was increased by social expectations. Still, the findings suggest that educational and other family policies should draw on broad agendas of gender and family diversity rather than on the politics of difference and the unique status of LGB families.

Studies on the biology of schistosomiasis with emphasis on the Senegal river basin

The construction of the Diama dam on the Senegal river, the Manantali dam on the Bafing river, Mali and the ensuing ecological changes have led to a massive outbreak of Schistosoma mansoni in Northern Senegal, associated with high intensity of infections, due to intense transmission, and the creation of new foci of S. haematobium. Data on the vectorial capacity of Biomphalaria pfeifferi from Ndombo, near Richard Toll, Senegal are presented with sympatric and allopatric (Cameroon) S. mansoni. Comparisons are made on infectivity, cercarial production, chronobiology of cercarial emergence and longevity of infected snails. Recent data on the intermediate host specificity of different isolates of S. haematobium from the Lower and Middle Valley of the Senegal river basin (SRB) demonstrate the existence of at least two strains of S. haematobium. The role of Bulinus truncatus in the transmission of S. haematobium in the Lower and Middle Valleys of the SRB is reviewed. Both S. haematobium and S. mansoni are transmitted in the same foci in some areas of the SRB.

Classification of human astrocytic gliomas on the basis of gene expression: a correlated group of genes with angiogenic activity emerges as a strong predictor of subtypes.

The development of targeted treatment strategies adapted to individual patients requires identification of the different tumor classes according to their biology and prognosis. We focus here on the molecular aspects underlying these differences, in terms of sets of genes that control pathogenesis of the different subtypes of astrocytic glioma. By performing cDNA-array analysis of 53 patient biopsies, comprising low-grade astrocytoma, secondary glioblastoma (respective recurrent high-grade tumors), and newly diagnosed primary glioblastoma, we demonstrate that human gliomas can be differentiated according to their gene expression. We found that low-grade astrocytoma have the most specific and similar expression profiles, whereas primary glioblastoma exhibit much larger variation between tumors. Secondary glioblastoma display features of both other groups. We identified several sets of genes with relatively highly correlated expression within groups that: (a). can be associated with specific biological functions; and (b). effectively differentiate tumor class. One prominent gene cluster discriminating primary versus nonprimary glioblastoma comprises mostly genes involved in angiogenesis, including VEGF fms-related tyrosine kinase 1 but also IGFBP2, that has not yet been directly linked to angiogenesis. In situ hybridization demonstrating coexpression of IGFBP2 and VEGF in pseudopalisading cells surrounding tumor necrosis provided further evidence for a possible involvement of IGFBP2 in angiogenesis. The separating groups of genes were found by the unsupervised coupled two-way clustering method, and their classification power was validated by a supervised construction of a nearly perfect glioma classifier.

Dialogism and dialogicality in the study of the self

This article stems from the statement that dialogical approaches to a study of the self face a double challenge: that of developing a conception of the self that both avoids social reductionism and accounts for the stability of the self. In discussing this double challenge, we identify three much debated issues: (a) To what does the notion of "Alter" exactly refer? (b) How could we conceptualize the fact that Subject-Alter interactions are not only interpersonal but entail larger social entities, in particular institutions? (c)What importance should we attach to the materiality of objects? We discuss these three questions from two standpoints - that of linguistics and that of psychology - and illustrate our theoretical proposals with an analysis of an excerpt taken from a focus-group discussion. In conclusion, we argue that the dialogism of discourse provides us with some clues about the dialogicality of the mind, whereas the latter invites us to develop a theory showing the importance of interactions in the construction of the self, to pay more attention to the transpersonal dimension of the social, and to consider that the material world contributes to the construction of the self.

Being Recognizable in Order to Overcome the Crisis: The Ambivalence of Islamis Actor's Struggle for Visibility in France and Switzerland

Since the 1990s, and especially since the early 2000s, passionate controversies (Göle 2014) have emerged around the new visibility of Islam in the public sphere across Europe. These controversies, which crystallized in the headscarf debate, seem even more disturbing given that women who wear it are often young, urban and educated: that is to say, "modern" (Göle 1997, 2011). Indeed, these young women wearing the hijab seem to disrupt the narrative of Western modernity, including the decline in religious practice (Hervieu-Léger 2006) or the narration of the process of secularization in Europe. It is in the context of these controversies that Islam is built imaginatively as a "public problem" that has to be "solved" (Behloul 2012). Thus, this social construction of the Muslim other has nurtured an assessment of the failure of multiculturalism in some European countries and a process of convergence around a single model of civic integration in Europe (Behloul 2012, Joppke 2004, 2010).