Abstract logic and set theory. II. large cardinals

Journal of Symbolic Logic 47 (2):335-346 (1982)

Authors
Jouko A Vaananen
University of Helsinki
Abstract
The following problem is studied: How large and how small can the Löwenheim and Hanf numbers of unbounded logics be in relation to the most common large cardinals? The main result is that the Löwenheim number of the logic with the Härtig-quantifier can be consistently put in between any two of the first weakly inaccessible, the first weakly Mahlo, the first weakly compact, the first Ramsey, the first measurable and the first supercompact cardinals
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2273145
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,694
Through your library

References found in this work BETA

Some Applications of Iterated Ultrapowers in Set Theory.Kenneth Kunen - 1970 - Annals of Mathematical Logic 1 (2):179-227.
A Remark On The Härtig Quantifier.Gebhard Fuhrken - 1972 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (13-15):227-228.
A Remark On The Härtig Quantifier.Gebhard Fuhrken - 1972 - Mathematical Logic Quarterly 18 (13‐15):227-228.
Boolean Valued Models and Generalized Quantifiers.Jouko Väänänen - 1980 - Annals of Mathematical Logic 18 (3):193-225.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
39 ( #183,959 of 2,317,995 )

Recent downloads (6 months)
1 ( #769,401 of 2,317,995 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature