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Weak definability in infinitary languages

Published online by Cambridge University Press:  12 March 2014

Saharon Shelah
Saharon Shelah*
Affiliation:
Princeton University, Princeton, New Jersey 08540 Hebrew University, Jerusalem, Israel
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Abstract

We shall prove that if a model of cardinality κ can be expanded to a model of a sentence ψ of by adding a suitable predicate in more than κ ways, then, it has a submodel of power μ which can be expanded to a model of ψ in > μ ways provided that λ, κ, μ satisfy suitable conditions.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 38 , Issue 3 , September 1973 , pp. 399 - 404
Copyright
Copyright © Association for Symbolic Logic 1973

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References

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