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Christian Espíndola: Weak completeness of infinitary intuitionistic logics without compact cardinals

Tid: On 2016-10-12 kl 10.00 - 11.45

Plats: Room 16, building 5, Kräftriket, Department of Mathematics, Stockholm University

Medverkande: Christian Espíndola

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Abstract: The completeness theorem for infinitary intuitionistic logics makes an appeal to large cardinals assumptions (compactness) when the theories have arbitrary cardinality. We will see how to avoid such assumptions by weakening the notion of completeness  through a restriction on the cardinality of the theories.