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A note on the introduction of Hilbert’s Grundlagen der Geometrie
PDF (Português (Brasil))

Keywords

Hilbert. Geometry. Independence. Simplicity. Grundlagen der Geometrie.

How to Cite

VENTURI, Giorgio. A note on the introduction of Hilbert’s Grundlagen der Geometrie. Manuscrito: International Journal of Philosophy, Campinas, SP, v. 40, n. 2, p. 5–17, 2017. Disponível em: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8649850. Acesso em: 3 jul. 2024.

Abstract

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.

PDF (Português (Brasil))

References

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