The Logic of Provability Boolos George S.Paperback
The Logic of Provability Boolos George S.Paperback This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the…
Specifikacia The Logic of Provability Boolos George S.Paperback
The Logic of Provability Boolos George S.Paperback
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). Here it receives its first scientific application since its invention. 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.
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. Modal logic is concerned with the notions of necessity and possibility. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency.