Computability and Logic
- 364pages
- 13 heures de lecture
Computability and Logic is a classic because of its accessibility to students without a mathematical background. This fifth edition was first published in 2007.
John P Burgess Livres
John P. Burgess est un professeur de théologie systématique dont l'œuvre explore les liens profonds entre la foi et l'identité. Ses écrits examinent les manières dont les traditions et les communautés religieuses peuvent se redécouvrir et se réformer dans un monde en perpétuel changement. En se concentrant sur les dimensions théologiques et spirituelles, il cherche à comprendre comment les écritures et les croyances anciennes peuvent continuer à résonner dans le contexte moderne, en offrant une vitalité renouvelée.
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 (CUP, 1979). 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 near probability and consistency. It contains the first application of quantified modal logic to formal probability, and shows the results of applying modal logic to formal provability.
