The Euclidean Programme - Couverture souple

Paseau, A. C.

Couverture souple

ISBN 10 : 1009221981 ISBN 13 : 9781009221986

Editeur : Cambridge University Press, 2024

Synopsis

The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge - especially mathematical knowledge - is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected its historically dominant Euclidean form. By contrast, this book offers a detailed examination of Euclidean foundationalism, which, following Lakatos, the authors call the Euclidean Programme. The book rationally reconstructs the programme's key principles, showing it to be an epistemological interpretation of the axiomatic method. It then compares the reconstructed programme with select historical sources: Euclid's Elements, Aristotle's Posterior Analytics, Descartes's Discourse on Method, Pascal's On the Geometric Mind and a twentieth-century account of axiomatisation. The second half of the book philosophically assesses the programme, exploring whether various areas of contemporary mathematics conform to it. The book concludes by outlining a replacement for the Euclidean Programme.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2024
• Langue: anglais
• ISBN 10: 1009221981
• ISBN 13: 9781009221986
• Reliure: Broché
• Nombre de pages: 82
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France