Journal of Symbolic Logic 35 (1):97-104 (1970)
Authors |
|
Abstract |
Two cardinals are said to beindistinguishableif there is no sentence of second order logic which discriminates between them. This notion, which is defined precisely below, is closely related to that ofcharacterizablecardinals, introduced and studied by Garland in [3]. In this paper we give an algebraic criterion for two cardinals to be indistinguishable. As a consequence we obtain a straightforward proof of an interesting theorem about characterizable cardinals due to Zykov [6].
|
Keywords | No keywords specified (fix it) |
Categories | (categorize this paper) |
DOI | 10.2307/2271161 |
Options |
![]() ![]() ![]() ![]() |
Download options
References found in this work BETA
Introduction to mathematical logic.Alonso Church - 1958 - Revue de Métaphysique et de Morale 63 (1):118-118.
Models and Ultraproducts: An Introduction.J. L. Bell & A. B. Slomson - 1972 - Journal of Symbolic Logic 37 (4):763-764.
Citations of this work BETA
No citations found.
Similar books and articles
The Largest Countable Inductive Set is a Mouse Set.Mitch Rudominer - 1999 - Journal of Symbolic Logic 64 (2):443-459.
Algebraic Characterizations of Various Beth Definability Properties.Eva Hoogland - 2000 - Studia Logica 65 (1):91-112.
Categorical and Algebraic Aspects of Martin-Löf Type Theory.Adam Obtułowicz - 1989 - Studia Logica 48 (3):299 - 317.
Exactly Controlling the Non-Supercompact Strongly Compact Cardinals.Arthur W. Apter & Joel David Hamkins - 2003 - Journal of Symbolic Logic 68 (2):669-688.
On Measurable Limits of Compact Cardinals.Arthur W. Apter - 1999 - Journal of Symbolic Logic 64 (4):1675-1688.
Algebraic Semantics for Deductive Systems.W. J. Blok & J. Rebagliato - 2003 - Studia Logica 74 (1-2):153 - 180.
Some Structural Results Concerning Supercompact Cardinals.Arthur W. Apter - 2001 - Journal of Symbolic Logic 66 (4):1919-1927.
Gap Forcing: Generalizing the Lévy-Solovay Theorem.Joel David Hamkins - 1999 - Bulletin of Symbolic Logic 5 (2):264-272.
Analytics
Added to PP index
2009-01-28
Total views
2 ( #1,453,779 of 2,520,400 )
Recent downloads (6 months)
1 ( #405,718 of 2,520,400 )
2009-01-28
Total views
2 ( #1,453,779 of 2,520,400 )
Recent downloads (6 months)
1 ( #405,718 of 2,520,400 )
How can I increase my downloads?
Downloads