9780521483254 - the logic of provability von boolos, george s. (5 Ergebnisse)
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Zustand: New. Boolos, a pre-eminent philosopher of mathematics, investigates the relationship between provability and modal logic. Num Pages: 316 pages, black & white illustrations. BIC Classification: HPL; PBCD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 155 x 228 x 19. Weight in G…rams: 484. . 2008. Revised ed. paperback. . . . . Books ship from the US and Ireland.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 provabili…ty 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.
