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

Uma nova tecnologia no pensamento de Herbert Marcuse: arte e técnica na sociedade unidimensional

This dissertation addresses the issue of technology in the work of Herbert Marcuse, explaning the merger between technology and domination that result in a totalitarian technological apparatus. Thus, technological civilization is supported and justified by a rational technological apparatus in the society, we have come not only the philosophy of Marcuse, but other great thinkers too, like Heidegger, Hegel, Marx. We also present a debate involving the philosophy of science, logic and linguage. Marcuse points to the need for a new technological rationality that emerge from a new sensibility, where the technique would allow a new relationship between man and nature. From then on, would emerge the need for a new subject. This transition would be possible by means of sensitivity, where art would become the art of live. With the link between art and technique made possible by new sensitivity, the author leaves one of its main contribution: he leaves open the possibility for the subject to choose new targests for technological development

Uma nova tecnologia no pensamento de Herbert Marcuse: arte e técnica na sociedade unidimensional

This dissertation addresses the issue of technology in the work of Herbert Marcuse, explaning the merger between technology and domination that result in a totalitarian technological apparatus. Thus, technological civilization is supported and justified by a rational technological apparatus in the society, we have come not only the philosophy of Marcuse, but other great thinkers too, like Heidegger, Hegel, Marx. We also present a debate involving the philosophy of science, logic and linguage. Marcuse points to the need for a new technological rationality that emerge from a new sensibility, where the technique would allow a new relationship between man and nature. From then on, would emerge the need for a new subject. This transition would be possible by means of sensitivity, where art would become the art of live. With the link between art and technique made possible by new sensitivity, the author leaves one of its main contribution: he leaves open the possibility for the subject to choose new targests for technological development