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

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

Um ambiente integrado para manipulação de tráfego multicast

In the two last decades of the past century, following the consolidation of the Internet as the world-wide computer network, applications generating more robust data flows started to appear. The increasing use of videoconferencing stimulated the creation of a new form of point-to-multipoint transmission called IP Multicast. All companies working in the area of software and the hardware development for network videoconferencing have adjusted their products as well as developed new solutionsfor the use of multicast. However the configuration of such different solutions is not easy done, moreover when changes in the operational system are also requirede. Besides, the existing free tools have limited functions, and the current comercial solutions are heavily dependent on specific platforms. Along with the maturity of IP Multicast technology and with its inclusion in all the current operational systems, the object-oriented programming languages had developed classes able to handle multicast traflic. So, with the help of Java APIs for network, data bases and hipertext, it became possible to the develop an Integrated Environment able to handle multicast traffic, which is the major objective of this work. This document describes the implementation of the above mentioned environment, which provides many functions to use and manage multicast traffic, functions which existed only in a limited way and just in few tools, normally the comercial ones. This environment is useful to different kinds of users, so that it can be used by common users, who want to join multimedia Internet sessions, as well as more advenced users such engineers and network administrators who may need to monitor and handle multicast traffic

Impacto da cárie precoce severa na infância na qualidade de vida relacionada à saúde bucal de pré-escolares sob privação social

Early childhood caries, especially in its severe form, which is characterized by an acute and aggressive nature, can have negative impacts on thequality of life of a child, due to effects such as difficulty in chewing, decreased appetite, weight loss, insomnia, changes in behavior and a decreased performance in school, among others. Moreover, the quality of life of the child`s family can also be affected, as the pain and discomfort caused by this type of caries result in loss of working days of parents, spending on dental treatments, changes in sleep patterns and stress. The aim of this study was to evaluate the impact of severe early childhood caries in the Oral Health-Related Quality of Life (OHRQoL) of public daycares`s preschool children through the Escala de Impacto da Saúde Bucal na Primeira Infância, a Brazilian version of the Early Childhood Oral Health Impact Scale (ECOHIS). A single calibrated examiner (kappa=1.0) evaluated, through the dmfs index, the oral health of 116 children aged between 3 and 5, which were included in one of three study groups: "caries-free", "not-severe early childhood caries" and "severe early childhood caries". The parents responded to ECOHIS, to assess their perception regarding the OHRQoL of their children, and a questionnaire on socioeconomic conditions. The OHRQoL was measured through the total scores and domains of ECOHIS. Descriptive analysis, Mann-Whitney test, Kruskal-Wallis test, chi-square test and Poisson multiple regression with robust variance were used. Among the children observed, 38.8% were caries-free, 27.6% showed not-severe early childhood caries and 33.6% showed severe early childhood caries. Regarding the total score of ECOHIS, severe early childhood caries had a greater negative impact on OHRQoL, compared to caries-free and not-severe early childhood caries groups (p <0.001). Regarding the child subscale, there was significant difference between the "severe early childhood caries" group and the other groups in all domains, except for theone of self-image / social interaction. In the family subscale domains, there was statistical significance between the severe early childhood caries and the caries-free groups in all domains (p <0.001), whereas between the "severe early childhood caries and not-severe early childhood caries groups there was a statistically significant difference only in the domain of parental anguish (p <0.001). Multivariate analysis showed that early childhood caries and the parent`s age were significantly associated to OHRQoL (p <0.05), independently of the other variables in the model. The presence of severe early childhood caries resulted in greater negative impact on OHRQoL (AdjPR= 6.016; 95%CI = 3.12 11.56; p<0.001), while older parents reported better OHRQoL (AdjPR = 0.603; 95%CI = 0.428 - 0.850; p = 0.004). The presence of severe early childhood caries had a negative impact on OHRQoL of preschool children and their families.