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On the existence of $ L\sb{\infty K}$-indiscernibles


Author: P. C. Eklof
Journal: Proc. Amer. Math. Soc. 25 (1970), 798-800
MSC: Primary 02.35
MathSciNet review: 0260579
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Abstract: It is proved that it $ T$ is a countable theory of $ {L_{{\omega _1}\omega }}$ with enough axioms for Skolem functions and with arbitrarily large models, then for any order type, there is a model of $ T$ with a set of $ {L_{\infty \kappa }}$-indiscernibles of that order type.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0260579-0
Keywords: Indiscernibles, infinitary languages, $ {\eta _\alpha }$-set
Article copyright: © Copyright 1970 American Mathematical Society