2024-02-062024-02-062023-06-28PORTO, André da Silva. Wittgenstein on mathematical advances and semantical mutations. Philósophos, Goiânia, v. 28, n. 1, p. 1-34, jan./jun. 2023. DOI: 10.5216/phi.v28i1.75205. Disponível em: https://revistas.ufg.br/philosophos/article/view/75205/39969. Acesso em: 26 dez. 2023.e- 1982-2928http://repositorio.bc.ufg.br//handle/ri/24306The objective of this article is to try to elucidate Wittgenstein’s ex travagant thesis that each and every mathematical advancement involves some “semantical mutation”, i.e., some alteration of the very meanings of the terms involved. To do that we will argue in favor of the idea of a “modal incompati bility” between the concepts involved, as they were prior to the advancement, and what they become after the new result was obtained. We will also argue that the adoption of this thesis profoundly alters the traditional way of con struing the idea of “progress” in mathematics.engAcesso AbertoWittgensteinPhilosophy of mathematicsSemantical mutationMathematical progressFilosofia da matemáticaMutação semânticaProgresso matemáticoWittgenstein on mathematical advances and semantical mutationsArtigo10.5216/phi.v28i1.75205