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Item Liberdade e reconhecimento na democracia contemporânea: acerca do pensamento de Hannah Arendt e Charles Taylor(Universidade Federal de Goiás, 2023-12-20) Campos, João Pedro Andrade de; Moscateli, Renato; http://lattes.cnpq.br/8852962822237051; Moscateli; Moscateli, Renato; Oliveira, José Luiz de; Adverse, Helton Machado; Reis, Helena Esser dos; Pereira, Rafael RodriguesThe central objective of this study was to reflect on the concepts of freedom and recognition in contemporary democracy. In order to achieve this first aim, a path of interpretation was included that considers fundamental, for contemporary reflections on democracy, to discuss how citizens can freely enjoy their freedoms in a community as beings, at the same time, possessors of singular and plural identities. With the intention of investing in this approach, the work of Hannah Arendt and Charles Taylor were listed as basic theoretical points. On Arendt's side, it was shown that full political freedom is essential so that a political community can be a place in which citizens actions and speeches demonstrate their dignity as human beings. Meanwhile, the recognition of citizens identities is only possible when there is an understanding in society that the other is part of a continuous dialogue with myself, through which my identity as an individual and also as a citizen is formed - this was the point of departure in relation to the reflection supported by Taylor. These first forays were followed by an examination whose intention was to show that when minorities are excluded from political participation, society suffers losses that can lead to its decline. As it is not possible to reflect on the particularities of all existing minority groups, refugees were generally chosen as a category that exemplifies, on the one hand, how freedom and recognition matter for the contemporary discussion about democracy and, on the other hand, how this group reveals, through its private and collective demands, a conceptual embarrassment in the classic debate between liberals, communitarians and republicans. The research concludes with the observation that in current discussions about democracy there is a strong, sometimes distorted, pronouncement of the ideals of freedom and recognition, the harmful nature of which can compromise the relationship between citizens and each other, triggering a move away from political issues concerning community, as well as the worsening of existing inequalities in a democracy, ultimately contributing to the crystallization of groups harmful to the political body.Item “Apenas setas”: a teoria das categorias como linguagem para uma matemática estruturalista(Universidade Federal de Goiás, 2023-10-20) Saraiva, Igor Souza; Porto, André da Silva; http://lattes.cnpq.br/3598537464598916; Porto, André da Silva; Esteban Coniglio, Marcelo; Freire, Rodrigo de Alvarenga; Queiroz, Ruy José Guerra Barretto de; Santos, César Frederico dosFor some years now, there has been a philosophical debate about the relationship between two distinct intellectual movements. Within mathematical practice, the Theory of Categories emerged in the 1940s. Initially without any major foundational pretensions, little by little the theory gained in scope and came to be considered, at the very least, a very useful language for characterizing and studying abstract mathematical structure. Almost simultaneously, philosophers concerned with questions about the nature of mathematical objects proposed a structuralist program, based on the idea of shaping an understanding of the nature of mathematics that takes into account that each area of this science describes the formal factors common to various structured systems. The affinity between Category Theory and a structuralist philosophy of mathematics is almost obvious, leading naturally to the question of the possibility of the theory being employed as an autonomous conceptual framework, capable of articulating a peculiar view of mathematics, without any kind of dependence on other foundational approaches, such as Set Theory or Type Theory. This possibility has been denied by some philosophers of mathematics, giving rise to a dispute without a unanimous solution. This thesis presents a panoramic view of this whole scenario and tries to show that those who reject the autonomy of category theory have epistemological presuppositions that are not unanimously accepted.