Weak definability in infinitary languages

Journal of Symbolic Logic 38 (3):399-404 (1973)
Abstract
We shall prove that if a model of cardinality κ can be expanded to a model of a sentence ψ of Lλ+,ω 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 $> \mu$ ways provided that λ,κ,μ satisfy suitable conditions
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2273033
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,233
Through your library
References found in this work BETA
Local Definability Theory.Gonzalo E. Reyes - 1970 - Annals of Mathematical Logic 1 (1):95-137.
Generalized Interpolation and Definability.David W. Kueker - 1970 - Annals of Mathematical Logic 1 (4):423-468.
Remark to “Local Definability Theory” of Reyes.S. Shelah - 1971 - Annals of Mathematical Logic 2 (4):441-447.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Implicit Definability and Infinitary Languages.Kenneth Kunen - 1968 - Journal of Symbolic Logic 33 (3):446-451.
Model Theory for Infinitary Logic.H. Jerome Keisler - 1971 - Amsterdam: North-Holland Pub. Co..
Uniform Inductive Definability and Infinitary Languages.Anders M. Nyberg - 1976 - Journal of Symbolic Logic 41 (1):109-120.
Implicit Definability and Compactness in Infinitary Languages.Jon Barwise - 1968 - Lecture Notes in Mathematics 72 (1):1--35.
Large Infinitary Languages: Model Theory.M. A. Dickmann - 1975 - American Elsevier Pub. Co..
Herbrand and Skolem Theorems in Infinitary Languages.Herman Ruge Jervell - 1972 - Oslo, Universitetet I Oslo, Matematisk Institutt.
Model Theory of Infinitary Languages.M. A. Dickmann - 1970 - [Aarhus, Denmark, Universitet, Matematisk Institut].
Beth Definability in Infinitary Languages.John Gregory - 1974 - Journal of Symbolic Logic 39 (1):22-26.

Monthly downloads

Added to index

2009-01-28

Total downloads

6 ( #560,834 of 2,172,874 )

Recent downloads (6 months)

1 ( #324,901 of 2,172,874 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums