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L'ontologie de la théorie des ensembles by Saeb Elamami

L'ontologie de la théorie des ensembles

by Saeb Elamami
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Book cover type: Paperback
  • ISBN13: 9782336458595
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Editions L'Harmattan
  • Publisher Imprint: Editions L'Harmattan
  • Publication Date:
  • Pages: 272
  • Original Price: USD 33.12
  • Language: French
  • Edition: N/A
  • Item Weight: 381 grams
  • BISAC Subject(s): General

Dans ce premier volume, l'auteur traite la question de l'existence ou non d'une seule interpr�tation d�finie maximale du discours ensembliste. Le probl�me consid�r� porte sur le nombre d'univers d'ensembles. Il s'agit de savoir s'il y avait un ou plusieurs domaines o� notre discours math�matique est interpr�t�.
C'est en quelque sorte une reprise de la question ontologique de l' univers des objets math�matiques d�crit par les axiomes de la th�orie des ensembles. Plus pr�cis�ment, la question vers laquelle se tourne l'auteur ici revient � savoir, sous la lumi�re de la grande diversit� des constructions th�oriques des mod�les, sur quoi portent les axiomes de la th�orie des ensembles. Ce qui revient � la caract�risation de la s�mantique du discours de la th�orie des ensembles, voire l'�tude des structures d'interpr�tation du langage ensembliste.
L'hypoth�se dont part l'auteur est que la r�flexion philosophique sur les math�matiques ne doit pas faire indiff�rence � la pratique math�matique.

Elamami, Saeb: - Saeb Elamami est chercheur post-doctoral en logique et épistémologie des mathématiques. Il est titulaire d'une maîtrise en mathématiques, d'une licence en philosophie, d'un mastère en fondements des mathématiques et d'une thèse de doctorat en logique et philosophie des mathématiques . Il est aussi doctorant en didactique des mathématiques.

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