Le Probleme Des Objets Dans La Pensee Mathematique

Name: Le Probleme Des Objets Dans La Pensee Mathematique
Brand: Librarie Philosophique J. Vrin
SKU: 9782711616282
Price: 4860.0 INR
Availability: InStock

by Maurice Caveing

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ISBN13: 9782711616282
Binding: Paperback
Subject: N/A
Publisher: Librarie Philosophique J. Vrin
Publisher Imprint: Librarie Philosophique J. Vrin
Publication Date: February 3, 2004
Pages: 288
Original Price: USD 42.0
Language: French
Edition: N/A
Item Weight: 341 grams
BISAC Subject(s): General

About The Book

Quoi de plus simple que l'idee d'objets dont le mathematicien se proposerait de connaitre les proprietes? Cet ouvrage montre qu'au contraire, loin d'aller de soi, cette notion est problematique. Une premiere demarche critique consiste a resaisir ces objets comme correlatifs des actes d'une pensee operatoire, puis a montrer en quoi consistent leur historicite, leur abstraction et leur universalite: il en resulte qu'ils n'ont d'autres existences d'intra-theorique. L'examen du langage propre aux mathematiques, fixe dans la forme symbolique, dont ils ne peuvent se rendre independants, permet ensuite d'identifier le champ transcendantal dans lequel s'opere leur connaissance. Des lors l'objet peut etre caraterise comme unite synthetique d'un systeme de relations, plus primitives que lui. On le verifie a propos des notions de base: ensembles, nombres, espaces. Le cas des figures exige une analyse specifique, la geometrie ayant souvent ete regardee comme le berceau des mathematiques. Mais l'intuition spatiale doit etre depossedee de son privilege ontologique illusoire. La these proposee permet d'ecarter les apories classiques en ce domaine; quant a la racine de l'illusion, c'est une question qui lui est exterieure et releve d'un autre champ.

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