Wittgenstein on mathematical advances and semantical mutations
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Data
2023-06-28
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Universidade Federal de Goiás
Resumo
The 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.
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Wittgenstein, Philosophy of mathematics, Semantical mutation, Mathematical progress, Filosofia da matemática, Mutação semântica, Progresso matemático
Citação
PORTO, 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.