When cardinality determines the power set
Wann
Freitag, 14. Juni 2024
10 bis 13:15 Uhr
Wo
D 435
Veranstaltet von
Leon Horsten, Carolin Antos, Sam Roberts
Vortragende Person/Vortragende Personen:
Philip Welch (University of Bristol)
Welch Talk Abstract:
We investigate when the predicate " x = Powerset(y)" can be Sigma_1(Card) where Card is a predicate for the cardinal numbers. This has relations to the Härtig quantifier logic which is intermediate between first and second order logic. We discuss Löwenheim-Skolem numbers for such a logic, and, to an extent, analyse the class of its validities. (This is joint work with Jouko Väänänen.)
When cardinality determines the power set
Wann
Freitag, 14. Juni 2024
10 bis 13:15 Uhr
Wo
D 435
Veranstaltet von
Leon Horsten, Carolin Antos, Sam Roberts
Vortragende Person/Vortragende Personen:
Philip Welch (University of Bristol)
Welch Talk Abstract:
We investigate when the predicate " x = Powerset(y)" can be Sigma_1(Card) where Card is a predicate for the cardinal numbers. This has relations to the Härtig quantifier logic which is intermediate between first and second order logic. We discuss Löwenheim-Skolem numbers for such a logic, and, to an extent, analyse the class of its validities. (This is joint work with Jouko Väänänen.)