Israel Journal of Mathematics

, Volume 18, Issue 1, pp 53–64 | Cite as

More Lowenheim-Skolem results for admissible sets

  • Mark Nadel


It is shown that ifA is a countable, admissible set and ø ∈{ie53-1}, then under certain conditions, ø has a model inA. In general, however, ifT is a consistent theory of {ie53-2}, Σ-definable onA, then there is an admissible setBA, with the same ordinals asA, containing a model ofT.


Prime Model Consistent Theory Consistency Property Constant Symbol Recursion Theory 
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Copyright information

© The Weizmann Science Press of Israel 1974

Authors and Affiliations

  • Mark Nadel
    • 1
  1. 1.Department of MathematicsCalifornia Institute of TechnologyPasadenaU.S.A.

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