The Beth-closure of l(qα) is not finitely generated

Journal of Symbolic Logic 57 (2):442 - 448 (1992)

Abstract
We prove that if ℵα is uncountable and regular, then the Beth-closure of Lωω(Qα) is not a sublogic of L∞ω(Qn), where Qn is the class of all n-ary generalized quantifiers. In particular, B(Lωω(Qα)) is not a sublogic of any finitely generated logic; i.e., there does not exist a finite set Q of Lindstrom quantifiers such that B(Lωω(Qα)) ≤ Lωω(Q)
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2275278
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: 39,607
Through your library

References found in this work BETA

Definability Hierarchies of Generalized Quantifiers.Lauri Hella - 1989 - Annals of Pure and Applied Logic 43 (3):235-271.

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
18 ( #418,618 of 2,325,334 )

Recent downloads (6 months)
4 ( #416,543 of 2,325,334 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature