Fine’s Postulationism, Objectivity, and Mathematical Creation

We analyse Kit Fine’s proposal of a procedural Postulationism for mathematics. From a linguistic perspective, we argue that Postulationism is better understood in terms of declarative speech acts. Based on this observation, we argue in favor of a form of Declarationism able to account for both the o...

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Bibliografiske detaljer
Udgivet i:URI:https://journals.openedition.org/noesis,
Auteurs principaux: Venturi, Giorgio, Schmidt, João Vitor
Format: Article ou chapitre numérique
Sprog:Anglais
Udgivet: Noesis 2024
Fag:
Online adgang:Accès Université d'Orléans et IFPM
Accès Université d'Orléans et IFPM
Beskrivelse
Summary:We analyse Kit Fine’s proposal of a procedural Postulationism for mathematics. From a linguistic perspective, we argue that Postulationism is better understood in terms of declarative speech acts. Based on this observation, we argue in favor of a form of Declarationism able to account for both the objectivity of mathematics and its creative dimension.