Pages de fin

Pages de fin

As early as the first publications of his differential and integral calculus, Leibniz stated that the essential principle for studying a curve was to consider it as an “infinitangular polygon” or a “polygon of infinitely many sides.” This supposition is not entirely original in the history of mathem...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Herran, Néstor
Format: Article ou chapitre numérique
Sprache:Français
Veröffentlicht: 2025
Online Zugang:Accès Université d'Orléans et IFPM
id cairn-RHS_782_0535
record_format cairn
spelling cairn-RHS_782_0535RHSRevue d'histoire des sciences https://shs.cairn.info/revue-revue-dhistoire-des-sciences-2025-2-page-535?lang=fr Pages de fin Herran, Néstor2025 fre Revue d'histoire des sciences | 78 | 2 | 2025-11-13 | p. 535-536 | 0151-4105 RHS_78289 As early as the first publications of his differential and integral calculus, Leibniz stated that the essential principle for studying a curve was to consider it as an “infinitangular polygon” or a “polygon of infinitely many sides.” This supposition is not entirely original in the history of mathematical practice, but Leibniz claims that, in the context of his invention, it is the one that ultimately leads to a general concept of a curve. This contribution is presented in the context of the reception of Leibniz’s calculus by a circle of mathematicians around the philosopher Nicolas Malebranche at the turn of the 17th century. These mathematicians had already undertaken a renewal of their skills, and so they did not appropriate Leibniz’s invention in virgin territory. Based on manuscripts, we examine the epistemological variations undergone by the concept of the infinitangular polygon through the new practice of writing represented by the Leibnizian calculus, as well as the forms of intertextuality employed by the actors.Dès les premières publications de son calcul différentiel et intégral, Leibniz explique que le principe essentiel pour étudier une courbe est de la considérer comme un «polygone infinitangulaire» ou un «polygone d’une infinité de côtés». Cette supposition n’est pas nouvelle dans l’histoire de la pratique mathématique mais Leibniz soutient que, dans le contexte de son invention, elle est celle qui conduit à un concept général de courbe. Cette contribution se place dans le contexte de la réception du calcul infinitésimal de Leibniz chez un cercle de mathématiciens réunis autour du philosophe Nicolas Malebranche au tournant du xviie siècle. Ces mathématiciens ont déjà entrepris un renouveau de leurs connaissances et ce n’est donc pas en terres vierges qu’ils s’approprient de l’invention leibnizienne. Manuscrits à l’appui, nous examinons les variations épistémologiques que subit le concept de polygone infinitangulaire à travers la nouvelle pratique d’écriture que représente le calcul leibnizien mais en tenant compte des formes d’intertextualité mises en œuvre par les acteurs.Cairn free access
language Français
format Article ou chapitre numérique
building 0/Bibliothèque numérique/
1/Bibliothèque numérique/Cairn/
description As early as the first publications of his differential and integral calculus, Leibniz stated that the essential principle for studying a curve was to consider it as an “infinitangular polygon” or a “polygon of infinitely many sides.” This supposition is not entirely original in the history of mathematical practice, but Leibniz claims that, in the context of his invention, it is the one that ultimately leads to a general concept of a curve. This contribution is presented in the context of the reception of Leibniz’s calculus by a circle of mathematicians around the philosopher Nicolas Malebranche at the turn of the 17th century. These mathematicians had already undertaken a renewal of their skills, and so they did not appropriate Leibniz’s invention in virgin territory. Based on manuscripts, we examine the epistemological variations undergone by the concept of the infinitangular polygon through the new practice of writing represented by the Leibnizian calculus, as well as the forms of intertextuality employed by the actors.
author Herran, Néstor
spellingShingle Herran, Néstor
Pages de fin
author_facet Herran, Néstor
author_sort Herran, Néstor
title Pages de fin
title_short Pages de fin
title_full Pages de fin
title_fullStr Pages de fin
title_full_unstemmed Pages de fin
title_sort pages de fin
publishDate 2025
container_title
container_issue
url https://ezproxy.univ-orleans.fr/login?url=https://shs.cairn.info/revue-revue-dhistoire-des-sciences-2025-2-page-535?lang=fr
_version_ 1877246643659603968

Ähnliche Einträge