Uniquely undefinable elements
Greg Hjorth
Source: J. Symbolic Logic Volume 75, Issue 1
(2010), 269-274.
Abstract
There exists a model in a countable language having a unique element which is not definable in ℒω₁, ω.
First Page:
Show
Hide
Primary Subjects:
03C75
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1264433920
Digital Object Identifier: doi:10.2178/jsl/1264433920
Zentralblatt MATH identifier: 05681303
Mathematical Reviews number (MathSciNet): MR2605893
References
J. Barwise, Admissible Sets and Structures. An Approach to Definability Theory, Perspectives in Mathematical Logic, Springer-Verlag, Berlin-New York, 1975.
Mathematical Reviews (MathSciNet): MR424560
Zentralblatt MATH: 0316.02047
J. Barwise and P. Eklof, Infinitary properties of abelian torsion groups, Annals of Mathematical Logic, vol. 2 (1970/1971), no. 1, pp. 25--68.
Mathematical Reviews (MathSciNet): MR279180
H. J. Keisler, 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.
Mathematical Reviews (MathSciNet): MR344115
Zentralblatt MATH: 0222.02064
A. Miller, Arnie Miller's problem list, Set Theory of the Reals (Bar-Ilan University, Ramat Gan), Israel Mathematical Conference Proceedings, vol. 6, pp. 645--654, 1993, the updated version available at http://www.math.wisc.edu/$\sim$miller/res/problem.pdf.
Mathematical Reviews (MathSciNet): MR1234292
Zentralblatt MATH: 0828.03017
