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This paper presents a study of how the theory of categories leads to thecreation of non classical logical systems. In particular, the case of theelementary topos of graphs, where there are three other truth values differentfrom false and true. The approach in this article to the theory of categoriesavoids specialized mathematical training to understand it, since it seeks tomake accessible the main ideas of this branch of mathematics to otherdisciplines of knowledge. This work was presented by the second author, underthe title of "Logic and Categories", at the I Colloquium on Logic, Epistemologyand Methodology organized by the School of Philosophy of the University sity ofCosta Rica.

Introducci\'on a la teor\'ia de categor\'ias, l\'ogica y topos elementales para una mente curiosa