>Magister Scientiae - MSc / A Steiner triple system of order v is a collection of subsets of size three from a set of v-elements such that every pair of the elements of the set is contained in exactly one 3-subset. In this study, we discuss some known Steiner triple systems and their automorphism groups. We also construct block intersection graphs of the Steiner triple systems of our consideration and compare their automorphism groups to the automorphism groups of the Steiner triple systems.

This study provides an introduction to Rudolf Steiner's ideas on music and music education and describes how these ideas have been adapted and applied in Grades One through Three in North American Waldorf Schools. Included in the study are: Steiner's basic philosophical concepts relating to music and music education; Steiner's rationale for aesthetic and music education; a description of the Waldorf approach to music teaching; results of a questionnaire sent to twenty-three Waldorf Schools in North America; a comparison of Steiner's key ideas on music education with those of Orff, Kodaly, and Dalcroze. / Education, Faculty of / Curriculum and Pedagogy (EDCP), Department of / Graduate

The thesis is based on the translation of a seminal work by George Steiner After Babel (1975), published in Triáda Publishing in 2010. The study presented in this volume is divided into three parts: the first one sketches a general portrait of George Steiner as a literary and cultural critic, language philosopher and a Jewish thinker much of his thought is dedicated to the Shoah. The second part traces Steiners intellectual profile with regards to his life story. The third part introduces Steiner's poetics and ethics of translation, paying attention especially to the phenomenon of translation in the colonial and postcolonial world. It maps the succession of metaphorical images Steiner uses to pinpoint translation and interpretation in general, especially the metafor of war and of hospitality. It concludes that a metaphorical use of the term "translation" for the whole field of understanding, interpretation and cultural tradition is not of much help in our apprehension of what translation proper is.

The Steiner-Lehmus Theorem has garnered much attention since its conception in the 1840s. A variety of proofs resulting from the posing of the theorem are still appearing today, well over 100 years later. There are some amazing similarities among these proofs, as different as they seem to be. These characteristics allow for some interesting groupings and observations.

The n-point Steiner problem in the Euclidean plane is to find a least length path network connecting n points. In this thesis we will demonstrate how to find a least length path network T connecting n points on a closed 2-dimensional Riemannian surface of constant curvature by determining a region in the covering space that is guaranteed to contain T. We will then provide an algorithm for solving the n-point Steiner problem on such a surface.

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S(5,8,24) is one of the largest known Steiner systems and connects combinatorial designs, error-correcting codes, finite simple groups, and sphere packings in a truly remarkable way. This thesis discusses the underlying structure of S(5,8,24), its construction via the (24,12) Golay code, as well its automorphism group, which is the Mathieu group M24, a member of the sporadic simple groups. Particular attention is paid to the calculation of the size of automorphism groups of Steiner systems using the Orbit-Stabilizer Theorem. We conclude with a section on the sphere packing problem and elaborate on how the 8-sets of S(5,8,24) can be used to form Leech's Lattice, which Leech used to create the densest known sphere packing in 24-dimensions. The appendix contains code written for Matlab which has the ability to construct the octads of S(5,8,24), permute the elements to obtain isomorphic S(5,8,24) systems, and search for certain subsets of elements within the octads. / Master of Science

A psicologia é uma atividade cultural humana de construção do conhecimento (Simão, 2004) e, assim sendo, sabemos da importância de estudar os aspectos históricos e filosóficos que envolvem sua construção. Acompanhamos, portanto, o seu fazer-se ciência, nos colocando diante de uma psicologia que se contextualiza em uma teia de teorias ora conexas ora desconexas, segundo critérios de cientificidade. Esse espaço psicológico se sustenta em dinâmicas tanto de rupturas - devido à diversidade teórica que pode resultar em um campo de dispersão, conforme propõe Figueiredo (2012) - como de unificação da psicologia. Ciente da pluralidade teórica e metodológica existente na psicologia, vejo, portanto, a necessidade de refletir sobre as escolhas do psicólogo por certas correntes, que, como veremos nesta pesquisa, estão intimamente relacionadas às suas experiências cognitiva-emocionais. A proposta neste trabalho foi analisar as bases do pensamento do filósofo Rudolf Steiner (1861-1925), - criador de uma proposta filosófica, a antroposofia, que trata de temas centrais abordados pela psicologia. Para isso, buscou-se a interlocução entre alguns aspectos histórico-culturais da própria construção de conhecimento desse pensador e o fazer da psicologia, procurando situar o espaço ocupado por Steiner dentro daquilo que se compreende como espaço psicológico, segundo Figueiredo (2007). Foram analisados os relatos autobiográficos de Steiner, chamados nesta pesquisa de experiências cognitivo-emocionais, e como tais aspectos podem ter modulado o percurso do seu pensamento. Entre essas experiências está seu diálogo muito próximo com as ideias do poeta e romancista J.W. Goethe, que também recebeu destaque nesta pesquisa, visto que há um interesse na retomada ao pensamento goethiano na atualidade, principalmente no que toca a importância da intuição no desenvolvimento do ser humano. O processo desta pesquisa requereu movimentos de aproximação e distanciamento em especial em relação ao envolvimento da autora com seu objeto de pesquisa (os pensamentos de Steiner), para que se atingisse uma melhor compreensão dos aspectos envolvidos tanto na configuração do psicológico (no sentido de Figueiredo, 2007) como no percurso de Steiner. Tal análise proporcionou à pesquisadora um aprofundamento a respeito de alguns aspectos relativos à escolha por certas correntes de pensamento em psicologia - neste caso, às matrizes compreensivas de inspiração românticas e pós-românticas - e, que são reflexos das experiências histórico-culturais do profissional, orientando-o no espaço contemporâneo tanto para sua prática em consultório como em pesquisa / Psychology is a human activity of knowledge construction (Simão, 2004) and saying that we become aware of how important it is to study the historical and philosophical aspects which permeate its construction. We follow thus, its self-making process, putting ourselves before a psychology which contains a variety of theories either connected or disconnected to it regarding to scientific criteria This psychological dimension holds itself in a dynamic of ruptures which Figueiredo (2012) calls as dispersion field or sometimes even into the idea of the unifying psychology. Knowing that theoretical and methodological plurality I see the necessity for a deeper thinking regarding the psychologist´s choice or empathy towards a certain theory or stream. I believe that such choices are intrinsically connected to his or her cognitive-emotional experiences through life. The proposal of this work was to analyze the fundamental thoughts of Rudolf Steiner (1861-1925), who was the founder of anthroposophy philosophy which deals with some core themes of psychology. A dialogue was sought between some historical-cultural aspects which involved his own path of knowledge construction and the psychology-making. The proposal of this work was to make an attempt to place Steiner´s thoughts into the so called psychology space according to Figueiredo (2007). Steiner´s self- reported episodes were analyzed from his autobiography which I referred here as cognitive-emotional experiences and how those aspects may have shaped his way of thinking. One of those aspects is his very close dialogue with J. W. Goethe´s ideas which also deserved prominence in this research. Nowadays there is a new light upon Goethe´s thinking, mainly in regards to his conception of intuition, so, that is why psychology is also interested and concerned with how intuition can influence human development. Perhaps this will be the contemporaneity of this paper. It was required approximation and distancing movements from the researcher in special to her previous knowledge about Steiner, and in doing so, it has given her a better comprehension about both: psychology construction and Steiner path. As a result, there was a better understanding on how the process of making choice takes place when a psychologist decides on one or the other stream to conduct his professional approach, noticing that there are historical-cultural aspects which lead the psychologists to choose, guiding them either to counseling practice or in the research field