First Order Categorical Logic von M. Makkai | Model-Theoretical Methods in the Theory of Topoi and Related Categories | ISBN 9783540084396

First Order Categorical Logic

Model-Theoretical Methods in the Theory of Topoi and Related Categories

von M. Makkai und G.E. Reyes
Mitwirkende
Autor / AutorinM. Makkai
Autor / AutorinG.E. Reyes
Buchcover First Order Categorical Logic | M. Makkai | EAN 9783540084396 | ISBN 3-540-08439-8 | ISBN 978-3-540-08439-6

First Order Categorical Logic

Model-Theoretical Methods in the Theory of Topoi and Related Categories

von M. Makkai und G.E. Reyes
Mitwirkende
Autor / AutorinM. Makkai
Autor / AutorinG.E. Reyes

Inhaltsverzeichnis

  • Grothendieck topoi.
  • Interpretation of the logic in categories.
  • Axioms and rules of inference valid in categories.
  • Boolean and heyting valued models.
  • Completeness.
  • Existence theorems on geometric morphisms of topoi.
  • Conceptual completeness.
  • Theories as categories.
  • Classifying topoi.
  • Corrections to “first order categorical logic”.