Ebook: First Order Categorical Logic: Model-Theoretical Methods in the Theory of Topoi and Related Categories

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Content:
Front Matter....Pages -
Introduction....Pages 1-10
Grothendieck topoi....Pages 11-67
Interpretation of the logic $L_{infty _omega }$ in categories....Pages 68-95
Axioms and rules of inference valid in categories....Pages 96-131
Boolean and heyting valued models....Pages 132-142
Completeness....Pages 143-164
Existence theorems on geometric morphisms of topoi....Pages 165-192
Conceptual completeness....Pages 193-236
Theories as categories....Pages 237-271
Classifying topoi....Pages 272-297
Corrections to “first order categorical logic”....Pages e1-e8
Back Matter....Pages -

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Content:
Front Matter....Pages -
Introduction....Pages 1-10
Grothendieck topoi....Pages 11-67
Interpretation of the logic $L_{infty _omega }$ in categories....Pages 68-95
Axioms and rules of inference valid in categories....Pages 96-131
Boolean and heyting valued models....Pages 132-142
Completeness....Pages 143-164
Existence theorems on geometric morphisms of topoi....Pages 165-192
Conceptual completeness....Pages 193-236
Theories as categories....Pages 237-271
Classifying topoi....Pages 272-297
Corrections to “first order categorical logic”....Pages e1-e8
Back Matter....Pages -
....