Uniquely undefinable elements

Journal of Symbolic Logic 75 (1):269-274 (2010)
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Abstract

There exists a model in a countable language having a unique element which is not definable in $\scr{L}_{\omega _{1},\omega}$

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Model theory for infinitary logic.H. Jerome Keisler - 1971 - Amsterdam,: North-Holland Pub. Co..
Infinitary properties of abelian torsion groups.Jon Barwise & Paul Eklof - 1970 - Annals of Mathematical Logic 2 (1):25-68.

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