Journal article icon

Journal article

Superstrong and other large cardinals are never Laver indestructible

Abstract:

Superstrong cardinals are never Laver indestructible. Similarly, almost huge cardinals, huge cardinals, superhuge cardinals, rank-into-rank cardinals, extendible cardinals, 1-extendible cardinals, 0-extendible cardinals, weakly superstrong cardinals, uplifting cardinals, pseudo-uplifting cardinals, superstrongly unfoldable cardinals, Σn-reflecting cardinals, Σn-correct cardinals and Σn-extendible cardinals (all for n ≥  3) are never Laver indestructible. In fact, all these large cardinal prop...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Publisher copy:
10.1007/s00153-015-0458-3

Authors


More by this author
Institution:
University of Oxford
Division:
Humanities Division
Department:
Philosophy
Oxford college:
University College
Role:
Author
Publisher:
Springer Publisher's website
Journal:
Archive for Mathematical Logic Journal website
Volume:
55
Issue:
1-2
Pages:
19-35
Publication date:
2015-12-23
Acceptance date:
2014-03-31
DOI:
EISSN:
1432-0665
ISSN:
0933-5846
Source identifiers:
916658
Language:
English
Keywords:
Pubs id:
pubs:916658
UUID:
uuid:61cccdd8-e307-4ffc-aab6-8ba1020ed552
Local pid:
pubs:916658
Deposit date:
2019-08-28

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP