Journal of Symbolic Logic 73 (4):1202-1214 (2008)

We classify ultrafilters on ω with respect to sequential contours (see [4].[5]) of different ranks. In this way we obtain an ω1 sequence {Pα}1≤α≤ω1 of disjoint classes. We prove that non-emptiness of Pα for successor α ≥ 2 is equivalent to the existence of P-point. We investigate relations between P-hierarchy and ordinal ultrafilters (introduced by J. E. Baumgartner in [1]), we prove that it is relatively consistent with ZFC that the successor classes (for α ≥ 2) of P-hierarchy and ordinal ultrafilters intersect but are not the same
Keywords P-hierarchy   P-points   monotone sequential contour   ordinal ultrafilters
Categories (categorize this paper)
DOI 10.2178/jsl/1230396914
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 54,676
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Cascades, Order, and Ultrafilters.Andrzej Starosolski - 2014 - Annals of Pure and Applied Logic 165 (10):1626-1638.

Add more citations

Similar books and articles

Poincare on Mathematics, Intuition and the Foundations of Science.Janet Folina - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:217 - 226.
The Ergodic Hierarchy.Roman Frigg & Joseph Berkovitz - 2011 - Stanford Encyclopedia of Philosophy.
Evidence-Based Medicine Must Be ..A. La Caze - 2009 - Journal of Medicine and Philosophy 34 (5):509-527.
Evidence‐Based Medicine Can’T Be….Adam La Caze - 2008 - Social Epistemology 22 (4):353 – 370.
Newman and the Hierarchy.Avery Cardinal Dulles - 2005 - Newman Studies Journal 2 (1):8-19.
The Iterative Conception of Set.Thomas Forster - 2008 - Review of Symbolic Logic 1 (1):97-110.


Added to PP index

Total views
72 ( #134,675 of 2,386,589 )

Recent downloads (6 months)
7 ( #105,593 of 2,386,589 )

How can I increase my downloads?


My notes