The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited - Couverture souple

Franks, Curtis

 
9780521183895: The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited
Couverture souple
ISBN 10 : 0521183898 ISBN 13 : 9780521183895
Editeur : Cambridge University Press, 2011

Synopsis

Most scholars think of David Hilbert's program as the most demanding and ideologically motivated attempt to provide a foundation for mathematics, and because they see technical obstacles in the way of realizing the program's goals, they regard it as a failure. Against this view, Curtis Franks argues that Hilbert's deepest and most central insight was that mathematical techniques and practices do not need grounding in any philosophical principles. He weaves together an original historical account, philosophical analysis, and his own development of the meta-mathematics of weak systems of arithmetic to show that the true philosophical significance of Hilbert's program is that it makes the autonomy of mathematics evident. The result is a vision of the early history of modern logic that highlights the rich interaction between its conceptual problems and technical development.

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Présentation de l'éditeur

Most scholars think of David Hilbert's program as the most demanding and ideologically motivated attempt to provide a foundation for mathematics, and because they see technical obstacles in the way of realizing the program's goals, they regard it as a failure. Against this view, Curtis Franks argues that Hilbert's deepest and most central insight was that mathematical techniques and practices do not need grounding in any philosophical principles. He weaves together an original historical account, philosophical analysis, and his own development of the meta-mathematics of weak systems of arithmetic to show that the true philosophical significance of Hilbert's program is that it makes the autonomy of mathematics evident. The result is a vision of the early history of modern logic that highlights the rich interaction between its conceptual problems and technical development.

Revue de presse

Review of the hardback: 'Franks' book is remarkable for the clarity of the prose and the originality of the arguments. It is a beautiful introduction to Hilbert's thought on the nature of mathematics and a natural extension of his work.' Jeffrey Barrett, University of California, Irvine

'This short but inspiring book questions the received view of Hilbert's contribution to the foundations of mathematics, and offers a newly clarified position within the philosophical attitude known as naturalism, especially of the (fiercely) anti-foundationalist persuasion ... this is without a doubt one of the most thoughtful as well as one of the most beautifully written books on the philosophy of mathematics to have been published in recent memory.' Juliette Kennedy, Bulletin of Symbolic Logic

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2011
Langue
anglais
ISBN 10 
0521183898
ISBN 13 
9780521183895
Reliure
Broché
Nombre de pages
228
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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France

Autres éditions populaires du même titre

9780521514378: The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited

Edition présentée

ISBN 10 :  0521514371 ISBN 13 :  9780521514378
Editeur : Cambridge University Press, 2009
Couverture rigide