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SUMMARY:Strong logics in set theory and search for singular compactness - 
 Mirna Džamonja (Norwich &amp\; Paris)
DTSTART:20190216T151500Z
DTEND:20190216T161500Z
UID:TALK119479@talks.cam.ac.uk
CONTACT:Benedikt Loewe
DESCRIPTION:In the world of infinite cardinals\, combinatorial properties 
 of singular cardinals are somewhat special. This is especially visible by 
 the fact that they often exhibit a compactness behaviour\, such as in Shel
 ah's singular compactness theorem or pcf theorem. The cardinal ℵ0 is als
 o very special\, often because of the compactness. An important example is
  the compactness of the first order logic. Therefore it is natural to ask 
 if there is a compact logic associated to singular cardinals\, a question 
 that we explore. This talk reports on results in progress obtained jointly
  with Jouko Väänänen.
LOCATION:Centre for Mathematical Sciences\, MR13
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