UID:
almafu_9960119536202883
Format:
1 online resource (xxxvi, 275 pages) :
,
digital, PDF file(s).
ISBN:
0-511-62518-9
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
English
Additional Edition:
ISBN 0-521-48325-5
Additional Edition:
ISBN 0-521-43342-8
Language:
English
URL:
Volltext
(lizenzpflichtig)
URL:
https://doi.org/10.1017/CBO9780511625183
URL:
https://doi.org/10.1017/CBO9780511625183
