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Vopěnka's principle and compact logics

Published online by Cambridge University Press:  12 March 2014

J. A. Makowsky
J. A. Makowsky*
Affiliation:
Department of Computer Science, Technion Haifa, Israel
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Abstract

We study the effects of Vopěnka's principle on properties of model theoretic logics. We show that Vopěnka's principle is equivalent to the assumption that every finitely generated logic has a compact cardinal. We show also that it is equivalent to the assumption that every such logic has a global Hanf number.

Keywords

Large cardinalsabstract model theory
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 50 , Issue 1 , March 1985 , pp. 42 - 48
Copyright
Copyright © Association for Symbolic Logic 1985

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References

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