More Lowenheim-Skolem results for admissible sets |
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| Authors: | Mark Nadel |
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| Affiliation: | (1) Department of Mathematics, California Institute of Technology, Pasadena, California, U.S.A. |
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| Abstract: | 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 setB?A, with the same ordinals asA, containing a model ofT. |
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