Abstract
We study combinatorial large cardinal properties on P κ λ, such as ineffability, almost ineffability, subtlety, and the Shelah property. We show that, even when λ > κ, the almost ineffability of P κ λ does not yield the ineffability of κ. We also show that the Shelah property and the partition property of P κ λ do not yield the subtlety of κ.
Original language | English |
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Pages (from-to) | 230-237 |
Number of pages | 8 |
Journal | Mathematical Logic Quarterly |
Volume | 59 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2013 May 1 |
Externally published | Yes |
Keywords
- P κ λ Ineffability
- Subtlety
- The Shelah property
- The partition property
ASJC Scopus subject areas
- Logic