Numbers are an important part of the cultural knowledge in the modern world. Its use is fundamental in the conception and development of modern science. There are different sets of numbers called numerical systems. The most frequently used numerical system is the set of natural numbers that is composed of positive integers. Natural numbers have several forms to express the cardinality; the most frequently used is the base-10 number system, it represents the number using base quantities and powers of ten. For example, the current calendar year could be expressed as 2018 ; it’s notation describes the additive and multiplicative composition of base quantities and powers of ten (i.e., 2*103 + 0*102 + 1*101 + 8*100). Also, we can use the notation 11111100010 (i.e., 1*210 + 1*29 + 1*28 + 1*27 + 1*26 + 1*25 + 0*24 + 0*23 + 0*22 + 1*21 + 0*20) to express the same calendar year in base-2. Base number systems express cardinal values using addition and multiplication (two operations defined in natural numbers). However, even if the base-10 system looks close to the human experience; it is an abstract form that requires an external representation to communicate cardinal values. An example of these external representations are cardinal numbers, for example, the number 2018 is represented in English using the words two thousand eighteen, but in Spanish, the cardinal number dos mil dieciocho is used. Cardinal numbers are a particular case in childhood development because it is the first exposure that children have to the natural numbers. Then the properties of the cardinal numbers could be an essential part of children's number comprehension. But one question arises in this frame: What are the children's capacities that permit the children to understand cardinal numbers? One possibility that is proposed in the field of number cognition is that children’s comprehension of recursion in language triggers the acquisition of natural numbers. For some authors, recursion is an operation that is shared between natural numbers (specifically, cardinal numbers) and language (Barner, 2017; Cheung et al., 2017; Yang, 2016). In this study, we explore the relationship between recursion in language and cardinal numbers. To do so, we study the comprehension of recursive genitives and the production of cardinal numbers in English- speaking and Mandarin-speaking children. The results suggest an association in Mandarin-speaking children, but not in English-speaking children. While these empirical results are inconclusive, I provide a theoretical analysis that gives some insights into how the structure of cardinal numbers could be defined using the concept of recursion.

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal. / Ce mémoire s'intéresse aux 202 individus qui ont été actionnaires de la Compagnie des Cent-Associés au cours des 35 années d'existence de l'entreprise. En étudiant la dynamique sociale qui s'opère à l'intérieur de ce groupe bien défini, nous cherchons à appréhender un peu plus la société française d'Ancien Régime. Dans un premier temps, nous établissons le contexte difficile dans lequel ces gens ont évolué en soulignant les éléments de la macro et de la microconjoncture qui ont pu les affecter, tant sur les plans économiques, politiques que sociaux. Dans le second chapitre, nous présentons tout d'abord les sources et la méthode qui nous ont permis, par la suite, d'établir le profil social des associés à travers une répartition sociale et chronologique qui tenait compte de leur appartenance à un ordre et à un corps, de même que de leurs lieux de résidence, de leurs propriétés foncières, de leur participation dans la Compagnie et, enfin, de leur expérience coloniale. Dans le dernier chapitre, nous nous attardons plus à la dynamique sociale en examinant d'autres liens de solidarités, tels les liens familiaux et les liens d'affaires, et en analysant des sous-groupes particuliers tels que les sept fondateurs, les 22 directeurs et les 12 acquéreurs de lettres de noblesse de la Compagnie. Il ressort donc de cette étude que les membres de la Compagnie des Cent-Associés sont surtout des Français du nord et de l'ouest qui se situent socialement à la frontière entre la noblesse et le tiers état et qui appartiennent majoritairement au monde du négoce, de l'office et de la finance. La dynamique sociale de ce milieu se manifeste, avec plus d'évidence, à travers les solidarités de corps et de lieux et, plus discrètement, à travers les solidarités de lignages, de fidélités et d'ordres. Ainsi, la composition sociale de l'entreprise et la dynamique qui l'accompagne font que la Compagnie des Cent-Associés s'inscrit bien dans la mouvance de la montée bourgeoise, en France, au XVIIe siècle.

The uterosacral ligament (USL) and the cardinal ligament (CL) are two major suspensory tissues that provide structural support to the vagina/cervix/uterus complex. These ligaments have been studied mainly due for their role in the surgical repair for pelvic organ prolapse (POP). POP, which is the descent of a pelvic organ from its normal place towards the vaginal walls and into the vaginal cavity, affects an estimated 3.3 million women in the United States annually. Despite their important mechanical function, little is known about the elastic and viscoelastic properties of the USL and CL due to ethical concerns with in vivo testing of human tissues and the lack of accepted animal models. The goal of this first study is to help establish an appropriate animal model for studying the mechanics of these pelvic supportive ligaments. To achieve this, the first rigorous comparison of histological and planar equi-biaxial mechanical properties of the swine and human USLs was completed. Relative collagen, smooth muscle, and elastin contents were quantified from histological sections and the USL was found to have similar components in both species, with a comparable relative collagen content. Using the digital image correlation (DIC) method to calculate the in-plane Lagrangian strain, no differences in the peak strain during precon- ditioning/cyclic loading tests, secant modulus of the pre-creep/elastic response, and strain at the end of creep tests were detected in the USLs from the two species along both axial loading directions (the main in vivo loading direction and the direction that is perpendicular to it). Because these ligaments are subjected to repeated constant loads in vivo, the effect of re- peated biaxial loads at three different load levels (1 N, 2 N, or 3 N) on elastic and creep properties of the swine CL was investigated. The results showed that CL was elastically anisotropic, as statistical differences were found between the mean strains along the two axial loading directions for specimens at all three different load levels. The increase in strain over time by the end of the 3rd creep test was comparable along the axial loading direc- tions. The greatest mean normalized strain (or, equivalently, the largest increase in strain over time) was measured at the end of the 1st creep test, regardless of the equi-biaxial load magnitude or loading direction. Overall, these experimental findings validate the use of swine as an appropriate animal model and offer new knowledge of the mechanical properties of the USL and CL that can guide the development of better treatment methods such as surgical reconstruction for POP. / Ph. D. / The uterosacral ligament (USL) and the cardinal ligament (CL) are two major suspensory tissues that provide structural support to the vagina/cervix/uterus complex. These ligaments have been studied mainly due for their role in the surgical repair for pelvic organ prolapse (POP). POP, which is the descent of a pelvic organ from its normal place towards the vaginal walls and into the vaginal cavity, affects an estimated 3.3 million women in the United States annually. Despite their important mechanical function, little is known about the elastic and viscoelastic properties of the USL and CL due to ethical concerns with in vivo testing of human tissues and the lack of accepted animal models. The goal of this first study is to help establish an appropriate animal model for studying the mechanics of these pelvic supportive ligaments. To achieve this, the first rigorous comparison of histological and planar equi-biaxial mechanical properties of the swine and human USLs was completed. Relative collagen, smooth muscle, and elastin contents were quantified from histological sections and the USL was found to have similar components in both species, with a comparable relative collagen content. Using the digital image correlation (DIC) method to calculate the in-plane Lagrangian strain, no differences in the peak strain during preconditioning/cyclic loading tests, secant modulus of the pre-creep/elastic response, and strain at the end of creep tests were detected in the USLs from the two species along both axial loading directions (the main in vivo loading direction and the direction that is perpendicular to it). Because these ligaments are subjected to repeated constant loads in vivo, the effect of repeated biaxial loads at three different load levels (1 N, 2 N, or 3 N) on elastic and creep properties of the swine CL was investigated. The results showed that CL was elastically anisotropic, as statistical differences were found between the mean strains along the two axial loading directions for specimens at all three different load levels. The increase in strain over time by the end of the 3rd creep test was comparable along the axial loading directions. The greatest mean normalized strain (or, equivalently, the largest increase in strain over time) was measured at the end of the 1st creep test, regardless of the equi-biaxial load magnitude or loading direction. Overall, these experimental findings validate the use of swine as an appropriate animal model and offer new knowledge of the mechanical properties of the USL and CL that can guide the development of better treatment methods such as surgical reconstruction for POP.

Québec Université Laval, Bibliothèque 2018

In this thesis we study the Aronszajn and special Aronszajn trees, their existence and nonexistence. We introduce the most common definition of special Aronszajn tree and some of its generalizations and we examine the relations between them. Next we study the notions of the tree property and the weak tree property at a given regular cardinal κ. The tree property means that there are no Aronszajn trees at κ and the weak tree property means that there are no special Aronszajn trees at κ. We define and compare two forcings, the Mitchell forcing and the Grigorieff forcing, and we use them to obtain a model in which the (weak) tree property holds at a given cardinal. At the end, we show how to use the Mitchell forcing to construct a model in which the (weak) tree property holds at more than one cardinal. 1

L’ascension du cardinal de Fleury décrit les mécanismes ayant conduit le rejeton d’une famille de financiers « moyens » du Languedoc à devenir en 1726 le principal ministre de Louis XV. Il faut d’abord compter avec le mouvement d’ensemble de tout un lignage qui plonge ses racines dans la marchandise du lodévois depuis au moins le XVIe siècle. Le passage à la finance s’effectue avec le grand-père du cardinal et se poursuit avec son père Jean et surtout son oncle Pierre-Moïse, trésorier de France au bureau des finances de Montpellier. Ce dernier favorise la montée à Paris du jeune André-Hercule qui embrasse dès lors la carrière ecclésiastique. Les moteurs de l’ascension sont ensuite individuels et reposent sur le jeu des clientèles, avec le cardinal de Bonsy puis le cardinal de Noailles qui obtient d’un Louis XIV réticent l’évêché de Fréjus (1698) pour son protégé. La suite relève davantage de la contingence mais ne peut s’extraire du contexte religieux et, là encore, le système des fidélités. La désignation comme précepteur du futur Louis XV, quelques jours avant la mort du Grand Roi, permet à Fleury de faire sa rentrée à la Cour. L’incontestable habileté de Fleury lui permet de profiter de l’évolution politico-religieuse engagée par le Régent qui, passé une phase initiale de rapprochement avec les adversaires de la bulle Unigenitus, s’en détache bientôt. Fleury incarne un soutien modéré mais ferme. Sa proximité avec le petit roi fait le reste et le positionne en personnalité majeure. Les décès de Dubois puis de Philippe d’Orléans le laissent seul face au duc de Bourbon (1723). Trois ans seulement vont suffire à M. de Fréjus pour éliminer le premier ministre en titre. / The ascent of the cardinal of Fleury describes the mechanisms which have driven the heir of an "average" family of financiers in Languedoc to become Louis XV’s Prime Minister in 1726. It is necessary to underline at first the whole rise of a linage which plunges its roots into the merchandise in the Lodévois for at least the XVIth century. The transition to the finance is made with the cardinal’s grandfather and continues with his father Jean and especially his uncle Pierre-Moses, trésorier de France at the bureau des finances of Montpellier. The latter favors the rise in Paris of the young André-Hercule who embraces from then the ecclesiastical career. The causes of the ascent are individual and are based on the set of the clienteles, with at first the cardinal of Bonsy, then the cardinal of Noailles who obtains from reluctant Louis XIV the bishop's siege of Fréjus ( in 1698 ) for his protégé. The continuation is more a matter of contingency but cannot be extracted from the religious context and, even there, the system of the clienteles. The designation as the private tutor of the future Louis XV, a few days before the death of the Great King, allows Fleury to make his comeback to the Court. The indisputable skill of Fleury allows him to take advantage of the politico-religious evolution led by the Regent who, after an initial phase of proximity with the opponents of the Unigenitus bull, soon gets loose from them. Fleury embodies a moderate support but firm. His closeness with the small king makes of him a major actor. The death of Dubois and of Philippe of Orléans leaves him alone in front of the duke of Bourbon (1723). Three years only will be enough for M. de Fréjus to eliminate the official Prime Minister.

MASTER'S DISSERTATION ABSTRACT Name: Pavlína Bíliková Field of study: Addictology Supervisor: doc. MUDr. PhDr. Kamil Kalina CSc. Number of pages: 76 Name of dissertation: Sex and partner relationship in therapeutic community Master's dissertation abstract Presumptions: Therapeutic communities for drug users define the so-called cardinal rules for their clients in order to ensure their safe environment. In case of breaching these rules the client is usually expelled from the community. One of these cardinal rules is the one prohibiting sex or partner relationship between members of community. There is an active discussion amongst specialist about its conception and exact content. The presumptions of this dissertation are the ambiguities in the conception of the rule, its content, classification and ways of use. Aims: The aim of this work is the analysis and evaluation of the nature of the rule prohibiting sex and relationship in communities from the point of view of therapists from Czech communities for drug users. Furthermore, the author aims to map the contemporary state of interpretation of the given rule and the way of its use in Czech therapeutic communities. Methods used: The theoretical part of this work uses document analysis. The practical part is constituted by a qualitative study. The data were...

O conceito de reflexão em topologia expressa o fato de que um espaço satisfaz uma dada propriedade sempre que esta é satisfeita por seus subespaços \"menores\". Neste trabalho, estuda-se a reflexão de propriedades envolvendo a maioria das principais funções cardinais e metrizabilidade, bem como outras propriedades relacionadas. São discutidos problemas em aberto -- como o problema de Hamburger --, incluindo respostas parciais e exemplos de consistência. Várias dentre as demonstrações apresentadas utilizam técnicas de submodelos elementares, que constituem hoje uma importante ferramenta no estudo de topologia geral. / The concept of reflection in topology expresses the fact that a space satisfies a given property provided that its \"small\" subspaces do. This work presents a study on reflection of properties concerning most of the main cardinal functions and metrizability, as well as other related properties. Open problems --such as Hamburger\'s question-- are also discussed, including partial answers and consistent examples. Several of the proofs presented here make use of elementary submodels, nowadays an important tool in the study of general topology.

Made available in DSpace on 2016-04-26T20:20:20Z (GMT). No. of bitstreams: 1 Alvaro Luiz Travassos de Azevedo Gonzaga.pdf: 590552 bytes, checksum: bfde2e6cc655a3269b496b5fa892bc03 (MD5) Previous issue date: 2011-08-03 / This thesis will study the platonic thinking under the Natural Law perspective, especially in The Republic, and its following concretization and integration in Laws. We aim to observe how the platonic doctrine does not change radically, but rather completes itself with the combination of the two mentioned works, for which we shall weave our analysis setting out from the logical temporal proposition in the platonic thinking, considering also the research of his conception of Justice in order to verify the maturity of its posture as it relates to the organization of the polis / A presente tese predispõe-se a estudar o pensamento platônico na perspectiva do Direito Natural, em especial na República, e sua consequente positivação e integração na obra As Leis. Visamos apresentar como a doutrina platônica de justiça não muda radicalmente, mas se completa com a conjugação das obras mencionadas. Para isso, partiremos da proposta temporal lógica do pensamento platônico, bem como da pesquisa de sua concepção de Justiça a fim de verificarmos a maturidade de sua postura com relação à organização da pólis

This disertation is mapping the main aspects of fundamental theology in the writings of the important American theologian, Cardinal Avery Dulles S.J. These are: Revelation, Faith and Church. The chapter about Cardinal's life story and writings as well as exposition of theological method in general focused on the Cardinal's own method in theology precedes the treatise of mentioned fundamental theology aspects. The method in question is the one of symbolic realism, which works with fundamental theology topics due to the model typologies (models of revelation, models of faith, and models of the church). Given theme of each typology is introduced as a theme of fundamental theology, later the detailed analysis is done and at the end the Dulles's own solution of the particular problem is presented. All mentioned themes prove some mutual relationships which together create the "inner dynamics of Christian life", which has its enjambments also in the whole history of salvation.