Algebra Seminar talk
2022-11-29 Tue! 09:00!
Large cardinals and properties of generalized logics}
This is a joint work with Will Boney, Stamis Dimipoulos and Victoria Gitman.
It is well known that many large cardinals properties and schemata can be phrased as regularities properties of generalized logics. (Typical examples are Skolem-Löwenheim and compactness properties ). In this talk we shall present some additional such characterizations.
An example is the connection between subtle cardinals and the existence of weak compactness for every abstract logic or the characterization of various virtual cardinals in terms of variations of compactness properties appropriate for the context of virtual large cardinals. .