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

Manuscrito 40 (2):5-17 (2017)
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Abstract

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.

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Giorgio Venturi
University of Campinas

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Hilbert's.Oswald Veblen - 1903 - The Monist 13 (2):303-309.
Hilbert's "Foundations of Geometry".Oswald Veblen - 1903 - The Monist 13 (2):303-309.
Regressive Analysis.Volker Peckhaus - 2002 - History of Philosophy & Logical Analysis 5 (1):97-110.
Regressive Analysis.Volker Peckhaus - 2002 - History of Philosophy & Logical Analysis 5.

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