SciELO - Scientific Electronic Library Online

vol.37 issue1Hacia una teoría de la referencia para los términos de magnitudes físicasEl carácter histórico de la concepción cusana de verdad author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Revista latinoamericana de filosofía

On-line version ISSN 1852-7353


GIOVANNINI, Eduardo N.. Intuición y método axiomático en la concepción temprana de la geometría de David Hilbert. Rev. latinoam. filos. [online]. 2011, vol.37, n.1, pp. 35-65. ISSN 1852-7353.

The paper discusses Hilbert's early axiomatic approach to geometry, particularly his notes for lecture courses between 1891 and 1905 are analyzed. It is argued that, although Hilbert privileged from early on an abstract axiomatic presentation of geometry, he also maintained in this early period more traditional theses, like the claim that geometry is the most perfect of all natural sciences, which deals with the properties or shapes of things in space. Among these, at a first glance, contradictory theses, Hilbert also stresses throughout the lecture courses the importance of "spatial" or "geometrical" intuition for the axiomatization of geometry. The role and notion of spatial intuition in Hilbert's early axiomatic approach are discussed. Finally, this emphasis on the notion of intuition will be used to criticize the standard, formalist view of Hilbert's axiomatic approach to geometry, which will be considered as misleading, or at least inadequate, when his notes for lectures courses are taken into account.

Keywords : Hilbert; Axiomatic method; Geometry; Early view; Intuition.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )


Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License