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In this article, I intend to show that Dedekind’s set theory has not an intuitive character, once in Dedekind’s set theory the axiom of regularity is not valid. Since such axiom guarantees that the notion of pertinence has a behavior related to our intuitions about sets, Dedekind’s set theory is not an intuitive one, but rather an abstract set theory, in which our normal conceptions about sets and their properties are not valid.
Tópico(s): Philosophy and Theoretical Science
1969 - | Revista Eletrônica Informação e Cognição (Cessada)