The independence of the prime ideal theorem from the order-extension principle

Journal of Symbolic Logic 64 (1):199-215 (1999)
Abstract
It is shown that the boolean prime ideal theorem BPIT: every boolean algebra has a prime ideal, does not follow from the order-extension principle OE: every partial ordering can be extended to a linear ordering. The proof uses a Fraenkel-Mostowski model, where the family of atoms is indexed by a countable universal-homogeneous boolean algebra whose boolean partial ordering has a `generic' extension to a linear ordering. To illustrate the technique for proving that the order-extension principle holds in the model we also study Mostowski's ordered model, and give a direct verification of OE there. The key technical point needed to verify OE in each case is the existence of a support structure
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2586759
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,370
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles
Added to PP index
2009-01-28

Total downloads
198 ( #22,083 of 2,193,887 )

Recent downloads (6 months)
1 ( #291,271 of 2,193,887 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature