Buch, Englisch, 106 Seiten, Format (B × H): 180 mm x 255 mm, Gewicht: 227 g
Buch, Englisch, 106 Seiten, Format (B × H): 180 mm x 255 mm, Gewicht: 227 g
ISBN: 978-0-8218-2565-5
Verlag: American Mathematical Society
Using the theory of categories as a framework, this book develops a duality theory for theories in first order logic in which the dual of a theory is the category of its models with suitable additional structure. This duality theory resembles and generalizes M. H. Stone's famous duality theory for Boolean algebras. As an application, the author derives a result akin to the well-known definability theorem of E. W. Beth. This new definability theorem is related to theorems of descent in category theory and algebra and can also be stated as a result in pure logic without reference to category theory. Containing novel techniques as well as applications of classical methods, this carefuly written book shows an attention to both organization and detail and will appeal to mathematicians and philosophers interested in category theory.
Using the theory of categories as a framework, this book develops a duality theory for theories in first order logic. The book presents novel techniques aswell as applications of classical methods. It is carefully wirtten and its organization and detail will be particularly appealing to mathematicians and philosophers interested in category theory.
