David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 162 (2):225 - 233 (2008)
Richard Tieszen [Tieszen, R. (2005). Philosophy and Phenomenological Research, LXX(1), 153–173.] has argued that the group-theoretical approach to modern geometry can be seen as a realization of Edmund Husserl’s view of eidetic intuition. In support of Tieszen’s claim, the present article discusses Husserl’s approach to geometry in 1886–1902. Husserl’s first detailed discussion of the concept of group and invariants under transformations takes place in his notes on Hilbert’s Memoir Ueber die Grundlagen der Geometrie that Hilbert wrote during the winter 1901–1902. Husserl’s interest in the Memoir is a continuation of his long-standing concern about analytic geometry and in particular Riemann and Helmholtz’s approach to geometry. Husserl favored a non-metrical approach to geometry; thus the topological nature of Hilbert’s Memoir must have been intriguing to him. The task of phenomenology is to describe the givenness of this logos, hence Husserl needed to develop the notion of eidetic intuition.
|Keywords||Husserl Geometry Eidetic intuition Group theory Foundations of geometry Hilbert|
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References found in this work BETA
Nicholas Griffin & Roberto Torretti (1981). Philosophy of Geometry From Riemann to Poincare. Philosophical Quarterly 31 (125):374.
Mirja Hartimo (2006). Mathematical Roots of Phenomenology: Husserl and the Concept of Number. History and Philosophy of Logic 27 (4):319-337.
Mirja Helena Hartimo (2007). Towards Completeness: Husserl on Theories of Manifolds 1890–1901. Synthese 156 (2):281 - 310.
Edmund Husserl (1994). Early Writings in the Philosophy of Logic and Mathematics. Kluwer Academic Publishers.
Edmund Husserl (1969). Formal and Transcendental Logic. The Hague, Martinus Nijhoff.
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