ENUMERABILIDADE DO CONJUNTO DOS NÚMEROS ALGÉBRICOS

Abstract

Through the studies of the Set Theory, the cardinality of the infinite sets is classified according to their enumerability, thus making the importance of the theme remarkable. Therefore, in this work, the enumerability of the Set of Algebraic Numbers will be approached, through studies that were carried out as part of the scientific initiation project linked as activities of the group PET Connections of Knowledge Mathematics at UFMS, Campus of Três Lagoas. The concepts defined for the study of the Algebraic Numbers Set will be conceptualized, exposing their definitions and properties, with examples and accounts of their theorems. This work, besides aiming to deepen the studies on the theme, also aims, in the presentation of the same, a way to make its understanding more accessible. In this way, it is found in the results of this research the exposure of basic concepts about the enumerability of sets, which facilitate the understanding of the most complex counts of the propositions that follow.