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Uniquely undefinable elements

Published online by Cambridge University Press:  12 March 2014

Greg Hjorth
Greg Hjorth*
Affiliation:
University of Melbourne, Department of Mathematics and Statistics, Parkville, 3010, Melbourne, Victoria, Australia, E-mail: [email protected]
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Abstract

There exists a model in a countable language having a unique element which is not definable in .

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 1 , March 2010 , pp. 269 - 274
Copyright
Copyright © Association for Symbolic Logic 2010

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References

REFERENCES

[1] Barwise, J., Admissible Sets and Structures. An Approach to Definability Theory, Perspectives in Mathematical Logic, Springer-Verlag, Berlin-New York, 1975.Google Scholar
[2] Barwise, J. and Eklof, P., Infinitary properties of abelian torsion groups, Annals of Mathematical Logic, vol. 2 (1970/1971), no. 1, pp. 25–68.Google Scholar
[3] Keisler, H. J., Model Theory for Infinitary Logic. Logic with Countable Conjunctions and Finite Quantifiers, Studies in Logic and the Foundations of Mathematics, vol. 62, North-Holland Publishing Co., Amsterdam-London, 1971.Google Scholar
[4] Miller, A., Arnie Miller's problem list, Set Theory of the Reals (Bar-Han University, Ramat Gan), Israel Mathematical Conference Proceedings, vol. 6, pp. 645–654, 1993, the updated version available at http://www.math.wise.edu/~miller/res/problem.pdf.Google Scholar