THOUGHT MODELLING IN DESCRIPTIVE GEOMETRY

This paper investigates, analyses, reflects upon, and draws conclusions on the regulation of thought/ discourse in science and in descriptive geometry. After stating the synonymy of thought and discourse, as advanced by Júlio Fragata, this study identifies Michel Foucault’s Procedures for Controlling and Delimiting Discourse, Louis Althusser’s Ideology, and Bento Caraça’s vision of science, and their effects on the former. We also observe the divergences in knowledge and truth, ratified by Karl Popper. Based on Foucault ́s categories, we aim to, first, question the discourses on the genesis of both Analytical and Descriptive Geometry, where the ontological, the logical, and/or the discipline truths don’t always conform and, secondly, question the actions on discourse/thought, which are related with Foucault’s categories and subcategories and direct them towards Geometry. We conclude by affirming the existence of the aforementioned procedures, of interferences in the ontological truth, while recognizing the need for surveillance.