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 |
|---|---|
| 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
Fingerprint Dive into the research topics of 'Hierarchies of ineffabilities'. Together they form a unique fingerprint.
Cite this
Usuba, T. (2013). Hierarchies of ineffabilities. Mathematical Logic Quarterly, 59(3), 230-237. https://doi.org/10.1002/malq.201200003