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

Referências culturais e heterogeneidade discursiva :Uma proposta para o ensino-aprendizagem de língua inglesa

The purpose of this research is to approach the English literary text from the point of view of the culture and the heterogeneity of discourse in its role as a source of elements that facilitate the teaching/learning process of English as a foreign language. Several instances of discourse heterogeneity are analyzed through cultural references in the original texts of the following English novels: Jane Eyre, by Charlotte Brontë (1816-1855), published in 1847; The Mill on the Floss, by George Eliot (1819-1890), published in 1860 and Great Expectations, by Charles Dickens (1812-1870), published between 1860 and 1861. Theoretical support was sought in Kramsch, Bakhtin, Maingueneau, Authier-Revuz, Widdowson and Larsen-Freeman. Activities in English are proposed in the end whereby it can be seen that the questions at issue can be used extensively in the classroom.