Um estudo sobre as origens da Lógica Matemáitca

The present study has as objective to explaining about the origins of the mathematical logic. This has its beginning attributed to the autodidactic English mathematician George Boole (1815-1864), especially because his books The Mathematical Analysis of Logic (1847) and An Investigation of the Laws of Thought (1854) are recognized as the inaugural works of the referred branch. However, surprisingly, in the same time another mathematician called Augutus of Morgan (1806-1871) it also published a book, entitled Formal Logic (1847), in defense of the mathematic logic. Even so, times later on this same century, another work named Elements of Logic (1875) it appeared evidencing the Aristotelian logic with Richard Whately (1787-1863), considered the better Aristotelian logical of that time. This way, our research, permeated by the history of the mathematics, it intends to study the logic produced by these submerged personages in the golden age of the mathematics (19th century) to we compare the valid systems in referred period and we clarify the origins of the mathematical logic. For that we looked for to delineate the panorama historical wrapper of this study. We described, shortly, biographical considerations about these three representatives of the logic of the 19th century formed an alliance with the exhibition of their point of view as for the logic to the light of the works mentioned above. In this sense, we aspirated to present considerations about what effective Aristotelian´s logic existed in the period of Boole and De Morgan comparing it with the new emerging logic (the mathematical logic). Besides of this, before the textual analysis of the works mentioned above, we still looked for to confront the systems of Boole and De Morgan for we arrive to the reason because the Boole´s system was considered better and more efficient. Separate of this preponderance we longed to study the flaws verified in the logical system of Boole front to their contemporaries' production, verifying, for example, if they repeated or not. We concluded that the origins of the mathematical logic is in the works of logic of George Boole, because, in them, has the presentation of a new logic, matematizada for the laws of the thought similar to the one of the arithmetic, while De Morgan, in your work, expand the Aristotelian logic, but it was still arrested to her

Uma reavaliação do pensamento lógico de George Boole à luz da história da matemática

The aim of the present study is to reevaluate the logical thought of the English mathematician George Boole (1815 - 1864). Thus, our research centers on the mathematical analysis of logic in the context of the history of mathematics. In order to do so, we present various biographical considerations about Boole in the light of events that happened in the 19th century and their consequences for mathematical production. We briefly describe Boole's innovations in the areas of differential equations and invariant theory and undertake an analysis of Boole's logic, especially as formulated in the book The Mathematical Analysis of Logic, comparing it not only with the traditional Aristotelian logic, but also with modern symbolic logic. We conclude that Boole, as he intended, expanded logic both in terms of its content and also in terms of its methods and formal elaboration. We further conclude that his purpose was the mathematical modeling of deductive reasoning, which led him to present an innovative formalism for logic and, because the different ways it can be interpreted, a new conception of mathematics

Mãe-esposa e professora: educadoras no final do século XIX

This text is organized through discussions undertaken in the area of the History of Education in Rio Grande do Norte, circumscribed to the History of Women from the first decades of the Brazilian Republic, and to the analysis of what was expected of this education. We examined representations of women in Natal, between 1889 and 1914, with the goal of configuring relations between the sexes with the emphasis on moral, intellectual and pedagogical aspects required of these women. As documental sources we utilized the educational, civil and criminal Legislation, on a National scope, as well as on a State and Municipal scope. We circumscribed our search to the newspaper A República, in which we found literature that circulated in Natal in the form of pamphlets, short stories and poetry, as well as other texts by authors that were part of the corpus of analysis of this study, located in public and private archives in Rio Grande do Norte, such as the Historical and Geographic Institute of Rio Grande do Norte (IHGRN) and the State Public Archive of Rio Grande do Norte (APE-RN). The use of the indexing method and the propositions of Cultural History were the appropriate theoretical-methodological framework to complete studies of this nature. This operational perspective permitted us to elaborate nuances about this time of transition from the 19th to the 20th Century, and to spotlight the fire of the women from this period. The basis of the argument that related women to maternity and domesticity, and within the ideals of abnegation and religious leadership, aligned to a demand coming from the increase in the quantity of schools for women, allocated women as the most appropriate for superior in educational performance in the country, based on its foundations: primary education. Beyond the universe of formal education, the other side of women appeared in republican politics. The mother-spouse and the institutionalization of domestic education associated the female gender with the role of educator at home as well. Be it in the public sphere, as a teacher, or in private, as mother-spouse, female care is perceived in this configuration, as an educational base that the Republic, and in transition, bequeathed to the Brazilian 20th Century

Mariana , Pai contra mãe e O caso da vara : escravidão e chão histórico em Machado de Assis

Machado de Assis understood his time and brought his perception of Brazilian society in the 19th century, with its multiple aspects economy, politics, culture, amongst others - to the texts he wrote. Through the tensions lived in his novels and short stories, Machado displays Brazilian social reality and the changes it had been undergoing. Mariana and Pai contra mãe show the crisis of the slavery system, the relation of dependency, the treatment given to the captives and the lack of coherence of a country that intended to adopt Liberalism as an ideology, but which kept on living under the shadow of slavery and its consequences. A country where the priorities were given to the landlords, owners of slaves, in protection of their interests. O caso da vara tells about how the crias da casa little black girls who lived in the household and learned how to make spool embroidery were treated. What were the punishments for desobedience and how they were levelled out, how should be the behaviour of a child who lived as a social outcast. Thus, this paper aims at playing a game of mirrors between History and fiction. Not only to play it, but to analyze how Machado deals with the reflections of 19th century Brazil on his short stories

Gregório de Matos: do barroco à antropofagia

The exponential figure of Gregório de Matos e Guerra has been subject of many theoretical discussions through the years, since his apparition in a public place, in the 19th century, and even more, during the 20th century, when he was salvaged by the modernist vanguard. As a result, there are yet two antagonist points of view linked to Gregório de Matos, on one side, there some researchers who defend him, on the other, some of them attack him. The first ones say this poet from Bahia was the first literary voice in Brazil, from the Baroque basis, while the last ones say he is a merely plagiarist of the Spanish poets from the 17th century, without a real contribution to the development of Brazilian Literature. With this in mind, this thesis follows the perspective this poet is an anthropophagus-baroque, devouring cultures, with an active participation in the process of our cultural and literary identity. For that reason, it was made a literature review about the biography of this poet trying to break romantic descriptions, emphasizing some scientific facts that can contribute to present the baroque profile of this poet. In this sense, it was discussed the History of Literature focused on this creole poet, mainly based on the historians point of view about the Gregorian poetry in the formation of Brazilian Literature scenery. In the defense of the hypothesis that Gregório de Matos was our first anthropophagus, this work aims to analyze how his poetry reveals the intrinsic characteristics of Baroque and Anthropophagy, focusing its carnivalesque aspect, showing to the world, with a satiric tone, the idiosyncrasies of human life. In this way, analyzing this corpus in Spanish is the strength of this thesis because, besides it is previously unpublished, it contributes to the comprehension of the anthropophagy as a theoretical mechanism that explains the process of formation of our cultural literary identity. Then, we have Augusto de Campos (1968; 1978; 1984; 1986; 1988), Haroldo de Campos (1976; 2010a; 2010b; 2011), Severo Sarduy ([1988?]), Oswald de Andrade (1945; 1978; 2006), Mikhail Bakhtin (2010), Octavio Paz (1979), Segismundo Spina (1980; 1995; 2008), Afrânio Coutinho (1986a; 1986b; 1994), Affonso Ávila (1994; 1997; 2004; 2008), among others, to constitute this theoretical scenery. The Gregorian poetry, in this way, have contributed to the formation of baroque-anthropophagic scenery in Brazilian boundaries, with a special attention to the transition of time, because he is not only from the 17th century, established by the historiography, but his work is present nowadays due to the contemporaneously of his themes, centered to the eternal doubts of baroque man

Desventuras de Hypolita: luta contra a escravidão ilegal no sertão (Crato e Exu, século XIX)

This paper analyses the history of Hypolita Maria das Dores, mulatto woman, free born, was enslaved and, by an act of freedom, appealed to court to prove the illegitimacy of her captivity and regain their freedom and their children. The main scenarios of this social and legal struggle are Crato (Ceará) and Exu (Pernambuco), places where she lived in the 19th century. The main objective of this work is to understand how to set the tensions and alliances involving the struggle for freedom inside and outside justice, in differentiated provincial spaces. An approach that belongs to the field of the social history of slavery, we ll prioritize the narrative of life. In it, Hypolita is taken as the subject of her story, as she faces stately and patriarchal values in a slave society. The documentary corpus that allows such vertical investigative consists of parish registers, we examined the baptisms, marriages and death records; analyzed registry documents of postmortem inventories, petitions and crafts; reports of provincial presidents and, finally, the O Araripe s and O Cearense s journalistic information. The investigation of the case allowed the understanding of how, in space and time specific, freedom was understood, usurped and claimed by various social subjects in the frame of morals and justice institutionalized

Debates sobre educação feminina no século XIX: Nísia Floresta e Maria Amália Vaz de Carvalho

L'article discute la structure discoursive de deux oeuvres qui représentent des voix féminines en défense de l'éducation et du travail des femmes et qui ont eu quelque répercussion au Brésil au XIXe siècle : Opúsculo humanitário (1853), de la brésilienne Nísia Floresta (1809 ou 1810-1885), et Mulheres e crianças (1880), de la portugaise Maria Amália Vaz de Carvalho (1847-1921). Nous avons essayé d'identifier à qui les textes étaient adressés et comment ils justifiaient le droit d'auteur et l'érudition féminine à un moment où la traditionnelle interdiction du mot public et de la presse aux femmes commençait à être questionnée.

Michael Faraday: o caminho da livraria à descoberta da indução eletromagnética

Estudando o trabalho experimental sobre eletromagnetismo realizado por Michael Faraday no início do século XIX, encontramos vários elementos que poderiam ser utilizados no Ensino de Ciências. Um conhecimento histórico sobre o trabalho experimental desenvolvido por Faraday e que o levou à descoberta da indução eletromagnética pode transmitir aos estudantes uma concepção mais adequada do processo de desenvolvimento da Ciência. No entanto, isso só pode ser feito utilizando-se um estudo detalhado e bem fundamentado do processo histórico ocorrido, deixando de lado as simplificações e os mitos que costumam ser apresentados.

Tempos de infância, tempos de escola: a ordenação do tempo escolar no ensino público paulista (1892-1933)

O texto analisa a ordenação do tempo nas escolas primárias paulistas no final do século XIX e início do século XX, período em que se institui e se consolida a arquitetura temporal escolar. Compreende, pois, as primeiras prescrições detalhadas sobre o tempo constantes na reforma republicana da instrução pública de 1892, as regulamentações instituídas no decorrer da Primeira República, até o momento de criação do Código de Educação de São Paulo em 1933, quando se inaugura uma nova fase da instrução pública no estado. O texto busca mostrar como o tempo constitui uma ordem que se experimenta e se aprende na escola. Para a realização deste estudo foram utilizadas fontes documentais, especialmente a legislação e textos oficiais da administração do ensino. As análises incidem sobre dois aspectos: a formulação política do tempo escolar e a organização pedagógica e disciplinar do tempo na escola. em relação ao primeiro aspecto, mostra como a ordenação do tempo pautou-se pela aspiração de uniformização e controle. Nesse sentido, as autoridades do ensino público procuraram regulamentar a obrigatoriedade do ensino, a freqüência, a duração do curso primário e a jornada escolar. em relação à organização pedagógica e disciplinar do tempo, põe em destaque a ordenação minuciosa do emprego do tempo compreendendo a racionalização curricular - a seleção e distribuição do conhecimento por séries, aulas, lições, e a definição dos horários.

Refiguração do tempo histórico pela ficção

M. Bakhtin afirma que a representação de acontecimentos, relações e processos no romance deve abranger a totalidade de uma época nela deve haver uma peculiar concatenação, literariamente expressa, espácio-temporal. Essa formulação contém elementos basilares para o entendimento e análise do romance, objeto deste estudo, Leite derramado de 2009 de Chico Buarque. A narrativa figura, pelo menos, duas grandes épocas históricas do Brasil: uma que vai do início do século XIX até 1930 e outra que vai desse momento ao início do XXI. É a representação da saga histórica da decadência de uma categoria social (fração da classe dominante), personificada na família Assumpção, com seus valores éticos e culturais, suas concepções de mundo e seu comportamento, estilizando sua dissolução social e moral. Ao fazer isso o romance coloca inúmeros problemas desde humano-existenciais até histórico-políticos para a reflexão do leitor.

Modelos explicativos em saúde coletiva: abordagem biopsicossocial e auto-organização

A complexidade do processo saúde-doença tem ensejado a proposição de uma diversidade de modelos explicativos. Fazemos uma breve revisão dessas propostas, confrontando três perspectivas: o modelo oriundo da Medicina do século XIX, a lógica da História Natural da Doença e o debate epidemiológico no contexto da Medicina Social latino-americana. Tomando-se como referência teórica a ideia de causalidade circular presente na teoria da auto-organização, propomos que os fatores causais privilegiados em cada um dos modelos explicativos acima não seriam conflitantes. Uma noção-chave para se pensar o processo de autoorganização biopsicossocial é o efeito baldwiniano, que descreve uma relação dialética ou coevolutiva entre processos naturais e socioculturais.

História da formação de professores

Tomando por base trabalhos historiográficos produzidos sobre a Escola Normal em diversos estados brasileiros, o presente trabalho procura recuperar a história percorrida por essa instituição, da perspectiva da ação do Estado, ou seja, da política educacional por ele desenvolvida. Nascidas no século XIX ao nível de modestas escolas primárias e centradas sobretudo no conteúdo a ser ensinado, as escolas normais foram aos poucos incorporando um conteúdo didático-pedagógico. O ideário escolanovista as marcaria definitivamente, deslocando a ênfase de seu currículo para as denominadas ciências da educação. O artigo aborda questões relativas a: consolidação e expansão das escolas normais como instituições formadoras do magistério para a escola primária, evolução de sua organização geral e curricular, definida, a partir dos anos 30, em nível médio, até as mudanças introduzidas pela Lei 9.394/96, que elevou a formação do professor das séries iniciais ao nível superior.

História da saúde mental infantil: a criança brasileira da Colônia à República Velha

Este texto descreve a trajetória da Saúde Mental e dos cuidados à infância no Brasil da Colônia à República Velha. No período colonial não havia cuidados especiais à criança. O que temos para compreender a criança colonial são relatos descritos em documentos, tratados e cartas da época, e em descrições de viajantes que aqui aportaram para conhecer o Novo Mundo. Depois do século XVIII a urbanização das cidades requer a intervenção médica nas questões de higiene e saúde, e gradativamente muda a concepção de criança, primeiro na Europa, depois no Brasil, chegando o século XIX com médicos preocupados com a questão da mortalidade infantil e com os cuidados que se deveria ter com a criança, negligenciada até então. É no século XIX que se inicia a institucionalização dos saberes médicos e psicológicos aplicados à infância e é quando podemos obter mais registros sobre que cuidados eram reservados à criança.

A Biblioteca Pública do Maranhão como instituição educacional

Neste trabalho, apresenta-se a descrição histórica da Biblioteca Pública do Maranhão. Aborda-se a situação econômica, política e social vivenciada no estado, no século XIX, que contribuiu para a sua criação e expõem-se, ainda, os fatores que condicionaram a sua falência e o seu ressurgimento no início da Primeira República, marcada pela identidade sociocultural progressista. Além disso, pontuam-se os principais aspectos educativos existentes na biblioteca, na gestão de Antônio Lobo. O método empregado se caracteriza como histórico-descritivo, baseando-se, principalmente, na análise e na descrição dos Relatórios Presidenciais do Maranhão, referentes ao século XIX e início do XX. Desta forma, o estudo constatou que a história da biblioteca do Maranhão foi marcada pelas dificuldades relacionadas, especialmente, à falta de interesse dos governantes em proporcionar condições necessárias para a promoção da cultura.

Historico da vacinacao antivariolica no Brasil

A historical chronology of smallpox vaccination in Brazil is presented, with emphasis on the State of Sao Paulo. We also present the scientific and philosophical concepts that influenced the regulation and practice of vaccination in Sao Paulo based on the historiographic bibliography, legislation about vaccination, and the debates in the state legislative body. Discovered by Jenner in 1796, the vaccine reached in Brazil in 1804 and was only used in the colonial capital, the city of Rio de Janeiro. In the 1890 decade, smallpox, side by side with yellow fever, typhoid fever and other pestilential diseases, was the major health problem in the State of Sao Paulo. There was also the fear that the vaccine might transmit syphilis, an Unfounded attitude since the product used in Sao Paulo (the 'animal vaccine') was elaborated from bovine serum. The immediate necessity to fight a highly lethal disease that threatened the State population and the coffee-growing business led to the abandonment of the fears and of the liberal principles in favor of the sanitary needs. The vaccine became compulsory in 1891 in the State of Sao Paulo and its application met no resistance on the part of the population, in contrast to the so-called 'Vaccine Revolt' that would occur in Rio de Janeiro in 1904.