We present and discuss a change in the introduction of Hilbert's Grundlagen der Geometrie between the first and the subsequent editions: 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.

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

Venturi G
2017-01-01

Abstract

We present and discuss a change in the introduction of Hilbert's Grundlagen der Geometrie between the first and the subsequent editions: 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.
File in questo prodotto:
File Dimensione Formato  
Manuscrito_40_2.pdf

accesso aperto

Tipologia: Versione finale editoriale
Licenza: Creative commons
Dimensione 187.31 kB
Formato Adobe PDF
187.31 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1163585
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact