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Independent Sets of Axioms In Lκα

Published online by Cambridge University Press:  20 November 2018

Xavier Caicedo*
Affiliation:
Departamento de Mateméticas, Universidad de Los Andes Apartado Aéreo 4976 Bogota D. E., Colombia
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A set of sentences T is called independent if for every . It is countably independent if every countable subset is independent. In flnitary first order logic, L ωω, the two notions coincide because of compactness. This is not the case for infinitary logic.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1981