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L'ontologie de la théorie des ensembles
Paperback
Series: Ouverture Philosophique
Publisher Price: $33.12
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ISBN10: 2336458594
ISBN13: 9782336458595
Publisher: Editions L'Harmattan
Published: Jul 4 2024
Pages: 272
Weight: 0.84
Height: 0.57 Width: 6.02 Depth: 9.25
Language: French
ISBN13: 9782336458595
Publisher: Editions L'Harmattan
Published: Jul 4 2024
Pages: 272
Weight: 0.84
Height: 0.57 Width: 6.02 Depth: 9.25
Language: French
Dans ce premier volume, l'auteur traite la question de l'existence ou non d'une seule interprétation définie maximale du discours ensembliste. Le problème considéré porte sur le nombre d'univers d'ensembles. Il s'agit de savoir s'il y avait un ou plusieurs domaines où notre discours mathématique est interprété.
C'est en quelque sorte une reprise de la question ontologique de l' univers des objets mathématiques décrit par les axiomes de la théorie des ensembles. Plus précisément, la question vers laquelle se tourne l'auteur ici revient à savoir, sous la lumière de la grande diversité des constructions théoriques des modèles, sur quoi portent les axiomes de la théorie des ensembles. Ce qui revient à la caractérisation de la sémantique du discours de la théorie des ensembles, voire l'étude des structures d'interprétation du langage ensembliste.
L'hypothèse dont part l'auteur est que la réflexion philosophique sur les mathématiques ne doit pas faire indifférence à la pratique mathématique.
L'hypothèse dont part l'auteur est que la réflexion philosophique sur les mathématiques ne doit pas faire indifférence à la pratique mathématique.
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