Les originations de la géométrie. Les problèmes posés par le singulier dans le titre de Husserl

The programme of geometrical archaeology initiated by the last Husserlian texts merits being taken further with renewed emphasis on historical discontinuities. The revolutions that geometry has gone through have led to profound changes in meaning. The arch-foundations of geometry were not actually d...

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Main Author: Julien Bernard
Format: Article
Language:deu
Published: Éditions Kimé 2025-03-01
Series:Philosophia Scientiæ
Online Access:https://journals.openedition.org/philosophiascientiae/4572
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author Julien Bernard
author_facet Julien Bernard
author_sort Julien Bernard
collection DOAJ
description The programme of geometrical archaeology initiated by the last Husserlian texts merits being taken further with renewed emphasis on historical discontinuities. The revolutions that geometry has gone through have led to profound changes in meaning. The arch-foundations of geometry were not actually definitively set out at the time of the first factual institution of geometry, namely Greek geometry. Instead, the full plurality of the historical forms of geometry does not just consist of a movement to generalise axioms. It involves the reform of the archi-foundations themselves. We will show this using the example of two important revolutions: 1) the discovery of non-Euclidean geometries and 2) the transition to a differential geometry and a dynamic metric. We will also discuss the philosophical difficulties these two moments of re-origination brought up. These studies will follow an introductory section on historical phenomenology and the architecture of the original strata of geometry, the idea being to introduce the conceptual tools and vocabulary required for the studies in the final part.
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1775-4283
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spelling doaj-art-16a20b1de0ec42afb13eee4e83e855c12025-08-20T02:02:25ZdeuÉditions KiméPhilosophia Scientiæ1281-24631775-42832025-03-01291155210.4000/13cnfLes originations de la géométrie. Les problèmes posés par le singulier dans le titre de HusserlJulien BernardThe programme of geometrical archaeology initiated by the last Husserlian texts merits being taken further with renewed emphasis on historical discontinuities. The revolutions that geometry has gone through have led to profound changes in meaning. The arch-foundations of geometry were not actually definitively set out at the time of the first factual institution of geometry, namely Greek geometry. Instead, the full plurality of the historical forms of geometry does not just consist of a movement to generalise axioms. It involves the reform of the archi-foundations themselves. We will show this using the example of two important revolutions: 1) the discovery of non-Euclidean geometries and 2) the transition to a differential geometry and a dynamic metric. We will also discuss the philosophical difficulties these two moments of re-origination brought up. These studies will follow an introductory section on historical phenomenology and the architecture of the original strata of geometry, the idea being to introduce the conceptual tools and vocabulary required for the studies in the final part.https://journals.openedition.org/philosophiascientiae/4572
spellingShingle Julien Bernard
Les originations de la géométrie. Les problèmes posés par le singulier dans le titre de Husserl
Philosophia Scientiæ
title Les originations de la géométrie. Les problèmes posés par le singulier dans le titre de Husserl
title_full Les originations de la géométrie. Les problèmes posés par le singulier dans le titre de Husserl
title_fullStr Les originations de la géométrie. Les problèmes posés par le singulier dans le titre de Husserl
title_full_unstemmed Les originations de la géométrie. Les problèmes posés par le singulier dans le titre de Husserl
title_short Les originations de la géométrie. Les problèmes posés par le singulier dans le titre de Husserl
title_sort les originations de la geometrie les problemes poses par le singulier dans le titre de husserl
url https://journals.openedition.org/philosophiascientiae/4572
work_keys_str_mv AT julienbernard lesoriginationsdelageometrielesproblemesposesparlesingulierdansletitredehusserl