Tramas da (ir)racionalidade contemporânea para a composição do mito-tecno-lógico

The plot myth-techno-logic, contemporary, was developed starting from the dualism myth-reason. In this study, we deepened the alluded dualism taking as reference the historical contexts of the Renaissance and of the Enlightenment, emphasizing the discussion of the economical rationalization as conductive thread of the western development, in which we identified the game of the rational and of the irrational, for assure the superiority of the reason. In the context of that game, we analyzed the implications of the modernization, for the education, in function of the instrumental rationality, responsible for the environment of adaptation of the technological instruments to the scenery of the contemporary modernization. The new context is constituted by points of union and of ruptures among the technique, the science and the myth. Through our analysis, we noticed that the basic needs for the contemporary society were linked to the changes in the production means, for which the machine determine the rhythm of the work and the quality of the product. However, the changes in the productive processes promoted the appearance of the commercial marks that, as we see it, they represented the synthesis of the perfect harmony of the myth, of the technique, of the science and of the technology, in the conduction of the economical rationalization to the contemporary modernization. Thus, the contemporary modernization it arrives us for the economical rationalization, developed with the support of the technician-scientific knowledge and communicated by the articulations of the myth-techno-logical

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