The Logic of Provability
By (author) George S. Boolos
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Logic of Provability by George S. Boolos
Book DescriptionThis 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.
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Book DetailsISBN: 9780521483254
(228mm x 152mm x 18mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Apr-1995
Country of Publication: United Kingdom
Books By Author George S. Boolos
Computability and Logic, Hardback (September 2007)» View all books by George S. Boolos
Computability and Logic is a classic because of its accessibility to students without a mathematical background. This fifth edition was first published in 2007.
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