Jogos de diagonalização: uma abordagem para o estudo de sequências

Abstract

The aim of this work is to present a combinatorial game inspired by Cantor’s diagonalization argument. The game involves two players, Kronecker and Cantor, whose names reference the historical opposition of Leopold Kronecker to the mathematics developed by Georg Cantor. Based on the arguments explored in the game, we propose a didactic approach aimed at teaching concepts related to sequences and the cardinality of sets, introducing the idea of infinite sets and their distinctions.