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Science and the Life-WorldEssays on Husserl's Crisis of European Sciences$
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David Hyder and Hans-Jorg Rheinberger

Print publication date: 2009

Print ISBN-13: 9780804756044

Published to Stanford Scholarship Online: June 2013

DOI: 10.11126/stanford/9780804756044.001.0001

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Husserl on the Origins of Geometry

Husserl on the Origins of Geometry

(p.64) § 4 Husserl on the Origins of Geometry
Science and the Life-World

Ian Hacking

Stanford University Press

This chapter examines the foundations of mathematics, focusing on The Origin of Geometry, an appendix to the Crisis. It notes that Husserl is one of those philosophers who is awed by mathematics, particularly by mathematical proof. It also contrasts Husserl's views on the origins of geometry with Kant's, drawing on the well-known passage from the preface to the first Critique, in which Kant imagines the first geometer. Whereas Kant's scientific hero is Newton, Husserl focuses on Galileo. The chapter concludes by considering Husserl's “historical a priori” as well as the process of sedimentation.

Keywords:   Origin of Geometry, mathematics, sedimentation, mathematical proof, Kant

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