Problemas e modelos que contribuíram com o desenvolvimento do cálculo diferencial e integral: dos gregos à Newton

This article refers to a research which tries to historically (re)construct the conceptual development of the Integral and Differential calculus, taking into account its constructing model feature, since the Greeks to Newton. These models were created by the problems that have been proposed by the history and were being modified by the time the new problems were put and the mathematics known advanced. In this perspective, I also show how a number of nature philosophers and mathematicians got involved by this process. Starting with the speculations over scientific and philosophical natures done by the ancient Greeks, it culminates with Newton s work in the 17th century. Moreover, I present and analyze the problems proposed (open questions), models generated (questions answered) as well as the religious, political, economic and social conditions involved. This work is divided into 6 chapters plus the final considerations. Chapter 1 shows how the research came about, given my motivation and experience. I outline the ways I have gone trough to refine the main question and present the subject of and the objectives of the research, ending the chapter showing the theoretical bases by which the research was carried out, naming such bases as Investigation Theoretical Fields (ITF). Chapter 2 presents each one of the theoretical bases, which was introduced in the chapter 1 s end. In this discuss, I try to connect the ITF to the research. The Chapter 3 discusses the methodological choices done considering the theoretical fields considered. So, the Chapters 4, 5 and 6 present the main corpus of the research, i.e., they reconstruct the calculus history under a perspective of model building (questions answered) from the problems given (open questions), analyzing since the ancient Greeks contribution (Chapter 4), pos- Greek, especially, the Romans contribution, Hindus, Arabian, and the contribution on the Medium Age (Chapter 5). I relate the European reborn and the contribution of the philosophers and scientists until culminate with the Newton s work (Chapter 6). In the final considerations, it finally gives an account on my impressions about the development of the research as well as the results reached here. By the end, I plan out a propose of curse of Differential and Integral Calculus, having by basis the last three chapters of the article

A morada do pensamento: um encontro com Platão na busca da natureza do sentido em Frege

The ontological investigation of sense, from German philosopher Gottlob Frege s point of view, has, as its foundation, the understanding of reference, representation, thought and sense s categories. According to Frege s writings, On Sense and Reference, and Thoughts Logical Investigations, sense carries itself the solution for the problem of identity s relation. Sense gives us the knowledge s increment that identity doesn t give. But still there is a problem: the definition of sense's nature. Sense couldn t have its nature strictly defined because, in this case, it would be reduced to reference s category and thus, sense would be identified with the own extra-linguistic object, and this is a misconception. But Frege said that thought must be considered as the sense of the sentence. So, with this close relationship between sense and thought, a new goal in this investigation is putt in focus: thought. To Frege, thought is not a simple subjective performance of thinking, it is not a subjective representation, but it is an objective content that is real, eternal, and that exists by itself in a third realm . Thought exists in a realm beyond the world of subjective representations and beyond the world of sensible perception. From this point, the present investigation went back to Plato s World of Ideas. So, the platonic thinking was included in this debate about the metaphysic of the third realm in Frege, trying to clarify the original concepts of knowledge, reality and truth. To achieve this objective, the following dialogues had been included in our research: Theaetetus, Republic and Phaedo. And the following fregean questions had been brought to Plato's scope: how happens the new knowledge? What is the third realm s reality? What is the relation between truth and thought? Doing that we could see as much some of the platonic origins of Frege's approach, as some differences between this two philosophers

Heráclito na filosofia do jovem Nietzsche

In the early 1870s, the German Philosopher Friedrich Nietzsche, professor of philology in Basel, researches the ancient Greek philosophers. These studies result in texts as The Preplatonic Philosophers, also known as Lessons on Pre-platonic Philosophers, and Philosophy in Greek tragic age. Using both texts as sources, this dissertation aims elucidating the Nietzsche's interpretation about Heraclitus, in other words, comprehend how Nietzsche recognizes in Heraclitus a philosopher with an aesthetic vision of the world, a contemplative and cheerful view of the world, the becoming, defined by the incessant change, as a child's play that builds and destroy sand castles on the shore. This spectacle, as Nietzsche believed, would be unveiled first by Heraclitus and must be contemplated eternally

Agostinho e o ceticismo: um estudo da crítica agostiniana ao ceticismo em Contra Acadêmicos

The assent of the Truth: here's a formula that seems to have puzzled philosophers since antiquity. The possibility of apprehending truth was defended by some philosophers who have been called dogmatic, due to their haste to judge appearances as representations of reality, and refuted by those who chose to continue questioning rather than engage with his predicament. These thinkers were called skeptics. Among those who defended the consent of the truth, is highlighted by St. Augustine in this research, which aims to combat the widespread skepticism in the ancient doctrine of the Academy of Plato in his work Against Academicos. Thus, to conduct this research we ask: What are the main arguments made by St. Augustine against the scholarly skepticism? In order to address the problem identified, we propose to investigate the critical skepticism of St. Augustine, identifying and analyzing the main rebuttals he built. For this purpose, we conducted a survey of aspects of both the skepticism about the life and thought of St. Augustine about this doctrine

Nietzsche e a modernidade: da crítica à metafísica à crítica à democracia

This dissertation presents an interpretation concerning the critical considerations of the German philosopher Friedrich Nietzsche on Modernity, especially Nietzsche s criticism of Modernity, of Christian mores and democracy produced by him in Beyond Good and Evil. Nietzsche attentively analyses details of Modernity, produces a diagnosis of modern man and discovers the sign of decay. We consider that Nietzsche s criticism of modernity is directly linked to the criticism of classic metaphysics. We emphasize questions like: what in us aspires to truth? Christian mores: why and what for? What characterizes modernity? Could it be the appeal to the democratic taste? Is it possible to reinvent Modernity? We stress the relation between the notion of truth, democracy and Christian mores, showing that these mores were also inherited from the Socratic culture. We also intend to clarify Nietzsche s proposal of a new way of doing philosophy, that would be able to surpass the decay which rules in European modern culture. The end of this research points out to the ―philosophers of the future‖ who are able, according to Nietzsche, to claim life beyond the metaphysics opposition, beyond the good and the evil

Corpo e fronteira: o diário de Samuel Fritz e a conquista do espaço amazônico

Considering that the Jesuitical tradition which Father Samuel Fritz belonged, has a clear political and institutional dimension that reveals itself in the missionary initiative placed since the Trento Council, his journal is a experience story as missionary at Maynás region during the period from 1686 until 1725. In his narrative, a series of data related to the conquer of Amazonia, conflicts among the Iberic Kingdoms and french, dutches and british, transformation of culture and space close the period of the Madrid Deal. I´ll explore the men and space relationship, in this case, the missionary in his special practice, therefore an effective and geometrical politic for border control was only applied at 1750 with reformist governments and that Amazônia was, until now, an object of autonomous initiatives, not being until now a priority focused state politics action like the ones in the central regions (silver mines) and that the missionary action of Samuel Fritz represented ant that moment represented the most important border advance to the Spanish Kingdom, coinciding with the end of the borders previously set in Madrid and Santo Idelfonso, I´ll put the question of how and with which politics the experience of Fritz in Maynás could represent an advance about Amazônia space. Then I´ll approach the problem about three aspects that are chapters: The first one was focused to the Iberic Kingdoms atlantic politics and the internal geopolitical relationships they created as the centre and the border emerging a new order; in the second chapter I studied the special transformation cause by the encounter and conflicts between the Indian and European order generating a new organization; in the third chapter I´ll examined the political border of the state and the emergency of the missionary body as an institution, with the tradition and missionary action as support, or not, to the exploration of the east border of Spanish America influencing the delimitation process of the border between Portugal and Spain

Fiat voluntas tua! Vício e pecado na ética de Abelardo

Abélard, à son éthique, préfère, à la notion de vice, celle de péché. Ce mouvement n'est pas um préssupposé de l'auteur, mais se suit, nécessairement, à sa position de logicien et, aussi bien, à sa critique aux philosophes stoïciens qu'il a pu connaître.

A teoria educacional no Ocidente: entre modernidade e pós-modernidade

O artigo trata das principais forças em filosofia da educação no Ocidente Moderno e Contemporâneo. Particularmente, destaca a posição do Brasil nos últimos anos, dado que localiza na contribuição de Paulo Freire, junto com o alemão Herbart e com o norte-americano Dewey, a formulação das linhas mestras da pedagogia moderna. O texto também faz menção ao trabalho atual do neopragmatismo, sob o qual nasce a filosofia da educação inspirada nos filósofos norte americanos Richard Rorty e Donald Davidson, que revolucionam atualmente não só a filosofia mas seus campos aplicados, como o direito, a religião, a política e, como não poderia deixar de ser, a educação.

Semicultura e educação: uma análise crítica da revista Nova Escola

Em suas obras, os filósofos da teoria crítica desenvolveram reflexões muito importantes acerca da sociedade capitalista do pós-guerra, apresentando um potencial pedagógico intrínseco, especialmente por meio dos conceitos adornianos de semicultura e indústria cultural. Este trabalho pretende utilizar tais conceitos para analisar criticamente o conteúdo editorial da revista Nova Escola, da editora Abril. Como esse é um periódico de grande circulação nas escolas públicas brasileiras, essa análise poderá esclarecer a intersecção entre educação e indústria cultural, reflexão que se faz urgente quando consideramos que essa relação atualmente é condicionada pelos imperativos do Estado mínimo neoliberal.

O conceito de Educação em Hegel

A educação sempre mereceu atenção por parte dos filósofos. Basta citar o exemplo de Sócrates ensinando em praça pública. Sua atividade era um convite ao saber. O filósofo alemão G. W. F. Hegel ( 1770 - 1834 ) também não ficou indiferente a essa questão muito embora não tenha se manifestado detidamente sobre ela em sua obra. No entanto, Hegel sempre ocupou cargos ou desempenhou funções relacionadas à educação. Por isso é possível apontar essa preocupação em sua filosofia e sugerir as possíveis contribuições. Para Hegel não há sociedade que se sustente sem a educação, pois ela é expressão da razão que busca estabelecer a liberdade e implantá-la enquanto prática corrente. Disso deriva a concepção hegeliana de homem que se caracteriza pela construção de si com seus semelhantes através da história. Esse homem é responsável pelo seu destino e por sua felicidade que não se identifica de forma absoluta com qualquer estrutura material. Nesse sentido Hegel atribui centralidade ao conteúdo e não aos métodos e técnicas. O conteúdo deve ser ministrado enquanto direito e também necessidade, pois é por ele que o homem aprende a ser livre, isto é, racional. A liberdade como fim da educação somente se realiza na totalidade da comunidade o que implica a superação de posicionamentos individualistas.

Derechos económicos, sociales y culturales, economía y democracia

Incluye Bibliografía

Derechos económicos, sociales y culturales, política pública y justiciabilidad

Incluye Bibliografía

Vibrações: a arte/educação nas práticas e no discurso em saúde mental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

AR | RA: a arte na realidade aumentada

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Acúmulo de saberes e experiência formativa

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)