The Logic of Provability - Couverture rigide

Boolos, George S.

Couverture rigide

ISBN 10 : 0521433428 ISBN 13 : 9780521433426

Editeur : Cambridge University Press, 1994

Synopsis

Boolos, a pre-eminent philosopher of mathematics, investigates the relationship between provability and modal logic.

A propos du livre

Présentation de l'éditeur

This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. Modal logic is concerned with the notions of necessity and possibility. What George Boolos does is to show how the concepts, techniques, and methods of modal logic shed brilliant light on the most important logical discovery of the twentieth century: the incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency.

Revue de presse

"The book contains an excellent combination of values: noble subject, fresh key results, and the gentle, friendly style of the author. It can be recommended as a textbook, as a handbook, or simply as high quality reading in logic." Sergei N. Artemov, Journal of Symbolic Logic

"I found it lively, lucid, and informative...Boolos' style of writing is unusually kind to the reader. When an argument becomes tricky, he breaks it down into a lot of small steps, showing the reader in detail just how to proceed. A result is that the book is remarkably easy to read." Vann McGee, Rutgers University

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0521433428
• ISBN 13: 9780521433426
• Reliure: Relié
• Nombre de pages: 314
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible