Abstract
We prove the consistency of the failure of the weak diamond Φ λ at strongly inaccessible cardinals. On the other hand, we show that the very weak diamond Ψ λ is equivalent to the statement 2 <λ < 2 λ and hence holds at every strongly inaccessible cardinal.
| Original language | English |
|---|---|
| Pages (from-to) | 109-125 |
| Number of pages | 17 |
| Journal | Fundamenta Mathematicae |
| Volume | 245 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© Instytut Matematyczny PAN
Keywords
- Radin forcing
- Very weak diamond
- Weak diamond