Mathematical Practice and Naturalist Epistemology: Structures with Potential for Interaction

In current philosophical research, there is a rather one-sided focus on the foundations of proof. A full picture of mathematical practice should however additionally involve considerations about various methodological aspects. A number of these is identified, from large-scale to small-scale ones. Af...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: van Kerkhove, Bart, Van Bendegem, Jean Paul
Format: Article ou chapitre numérique
Sprache:Français
Veröffentlicht: 2005
Online Zugang:Accès Université d'Orléans et IFPM
Accès Université d'Orléans et IFPM
Beschreibung
Zusammenfassung:In current philosophical research, there is a rather one-sided focus on the foundations of proof. A full picture of mathematical practice should however additionally involve considerations about various methodological aspects. A number of these is identified, from large-scale to small-scale ones. After that, naturalism, a philosophical school concerned with scientific practice, is looked at, as far as the translations of its epistemic principles to mathematics is concerned. Finally, we call for intensifying the interaction between both dimensions of practice and epistemology.