The objective of this paper is to study «The Immortal» under the Cantorian lens, so as to discuss one particular absolute, the self, and to suggest that it is impossible to establish a inal vocabulary, or a deinite deinition, about this topic. An example of such narratives is the collection of stories compiled under the title The Aleph, which opens with «The Immortal» and closes with the story that gives the collection its title. Following these ideas, Borges weaves several narratives, discussing the ininite and the absolute. Thus, Cantor labels the different levels of the ininite by assigning to each the irst letter of the Hebrew alphabet, the Aleph, followed by a number, depending on the level of infinite he is referring to (Aleph-zero, Aleph-one, etc.). Newman, where they address the set theory (branch of mathematics that studies the relationship between sets) proposed by Georg Cantor (18451918), and in which transfinite arithmetic (beyond finite arithmetic) is established, and an epistemic system created to represent different levels of the ininite. Jorge Luis Borges often consulted Mathematics and Imagination by E.
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