Ontology and the Foundations of Mathematics - Couverture souple

Rush, Penelope

Couverture souple

ISBN 10 : 1108716938 ISBN 13 : 9781108716932

Editeur : Cambridge University Press, 2022

Synopsis

This Element looks at the problem of inter-translation between mathematical realism and anti-realism and argues that so far as realism is inter-translatable with anti-realism, there is a burden on the realist to show how her posited reality differs from that of the anti-realist. It also argues that an effective defence of just such a difference needs a commitment to the independence of mathematical reality, which in turn involves a commitment to the ontological access problem – the problem of how knowable mathematical truths are identifiable with a reality independent of us as knowers. Specifically, if the only access problem acknowledged is the epistemological problem – i.e. the problem of how we come to know mathematical truths – then nothing is gained by the realist notion of an independent reality and in effect, nothing distinguishes realism from anti-realism in mathematics.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 1108716938
• ISBN 13: 9781108716932
• Reliure: Broché
• Nombre de pages: 54
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France