Duality and definability in first order logic.

Makkai, Michael.:

ISBN 10: 0821825658 / ISBN 13: 9780821825655

Verlag: Providence, RI, American Mathematical Society, ., 1993

Beschreibung

1. Auflage 25 x 17 cm. X, 106 Seiten. Softcover, Broschur mit den üblichen Bibliotheks-Markierungen, Stempeln und Einträgen, innen wie außen, siehe Bilder. Deckel leicht aufgebogen. Innen sehr sauber, leichter Kellergeruch. Memoirs of the American Mathematical Society, 503. DX-K25|11880BB Sprache: Englisch Gewicht in Gramm: 300.

Bestandsnummer des Verkäufers 2035838

Bibliografische Details

• Titel: Duality and definability in first order logic.
• Verlag: Providence, RI, American Mathematical Society, .
• Erscheinungsjahr: 1993
• Sprache: Englisch
• ISBN-10: 0821825658
• ISBN-13: 9780821825655
• Einband: Softcover
• Auflage: 1.
• Zustand: Gut
• Verkäuferkataloge:
  • Modernes Antiquariat

Über diesen Titel

Inhaltsangabe

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.