Kunen's compactness theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo infinitary logic
gptkbp:concerns large cardinals
ultrafilters
gptkbp:field gptkb:set_theory
gptkbp:generalizes compactness theorem for first-order logic
https://www.w3.org/2000/01/rdf-schema#label Kunen's compactness theorem
gptkbp:namedAfter gptkb:Kenneth_Kunen
gptkbp:publicationYear 1971
gptkbp:publishedIn gptkb:Journal_of_Symbolic_Logic
gptkbp:state If there exists a weakly compact cardinal, then every set of sentences in the infinitary language L_{κ,κ} that is finitely satisfiable is satisfiable.
gptkbp:bfsParent gptkb:Kenneth_Kunen
gptkbp:bfsLayer 7