A note on the introduction of Hilbert’s Grundlagen der Geometrie

We present and discuss a change in the introduction of Hilbert’s Grundl agender Geometrie between the first and the subsequente ditions: the disappearance of the reference to the independence of the axioms. We briefly outline the theoretical relevance of the notion of independence in Hilbert’s work...

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Detalhes bibliográficos
Autor: Venturi, Giorgio
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Recursos:Universidade Estadual de Campinas (UNICAMP)
Repositorio:Manuscrito (Online)
Idioma:portugués
OAI Identifier:oai:ojs.periodicos.sbu.unicamp.br:article/8649850
Acesso em linha:https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8649850
Access Level:acceso abierto
Palavra-chave:Hilbert. Geometry. Independence. Simplicity. Grundlagen der Geometrie.
Descrição
Resumo:We present and discuss a change in the introduction of Hilbert’s Grundl agender Geometrie between the first and the subsequente ditions: the disappearance of the reference to the independence of the axioms. We briefly outline the theoretical relevance of the notion of independence in Hilbert’s work and we suggest that a possible reason for this disappearance is the discovery that Hilbert’s axioms were not, in fact, independent. In the end we show how this change gives textual evidence for the connection between the notions of independence and simplicity.

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