Some Lowenheim-Skolem results for admissible sets |
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Authors: | Mark Nadel |
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Affiliation: | (1) The University of Winconsin, Winconsin, USA |
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Abstract: | For any admissible setA, there is anA-recursive set of sentences of ℒ A which has a model but noA-finite model.A countable admissible set has the Lowenheim-Skolem property iff it is recurisvely inaccessible and locally countable. |
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