As duas noções de Multiplicidade no livro Die Grundlagen der Arithmetik de Frege

Abstract

The theme of this dissertation is the difficulties identified by Frege in the empirical (§§ 22-25) and formalist (§ 29-54) notions of “number” in the book Die Grundlagen der Arithmetik. Our main objective is to discuss these difficulties and the solution that Frege proposes for them, based on the statement expressed in section § 46, that “a statements of number contains an assertion about a concept”, a fundamental idea to understand his proposal for the logical foundation of arithmetic. Our hypothesis is that, in sections §§ 18-44 of this work, Frege rejects two notions of “multitude”, with the purpose of persuading his interlocutor that a statement of number contains an assertion about a “concept” [§ 46].