Abstract
AbstractThe language LA(Ⅎ) is formed by adding the quantifier Ⅎx, “few x”, to the infinitary logic LA on an admissible set A. A complete axiomatization is obtained for models whose universe is the set of ordinals of A and where Ⅎx is interpreted as there exist A-finitely many x. For well-behaved A, every consistent sentence has a model with an A-recursive diagram. A principal tool is forcing for LA(Ⅎ).
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
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