Reason'S Nearest Kin. Philosophies Of Arithmetic From Kant To Carnap - Couverture rigide

Potter, Michael

Couverture rigide

ISBN 10 : 019825041X ISBN 13 : 9780198250418

Editeur : Clarendon Press, 2000

Synopsis

How do we account for the truth of arithmetic? And if it does not depend for its truth on the way the world is, what constrains the world to conform to arithmetic? Reason 's Nearest Kin is a critical examination of the astonishing progress made towards answering these questions from the late nineteenth to the mid-twentieth century. In the space of fifty years Frege, Dedekind, Russell, Wittgenstein, Ramsey; Hilbert, and Carnap developed accounts of the content of arithmetic that were brilliantly original both technically and philosophically. Michael Potters innovative study presents them all as finding that content in various aspects of the complex linkage between experience, language, thought, and the world. Potters reading places them all in Kant's shadow, since it was his attempt to ground arithmetic in the spatio-temporal structure of reality that they were reacting against; but it places us in Gödel's shadow, since his incompleteness theorems supply us with a measure of the richness of the content they were trying to explain. This stimulating reassessment of some of the classic texts in the philosophy of mathematics reveals many unexpected connections and illuminating comparisons, and offers a wealth of ideas for future work in the subject.

A propos du livre

À propos de l?auteur

Michael Potter is a University Lecturer in Philosophy at Cambridge and a Fellow of Fitzwilliam College, where he was previously Director of Studies in Mathematics.

Détails de l'édition

• Éditeur: Clarendon Press
• Date d'édition: 2000
• ISBN 10: 019825041X
• ISBN 13: 9780198250418
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 316
• Coordonnées du fabricant: non disponible