English

(Weak) diamond can fail at the least inaccessible cardinal

Logic 2021-01-27 v4

Abstract

Starting from suitable large cardinals, we force the failure of (weak) diamond at the least inaccessible cardinal. The result improves an unpublished theorem of Woodin and a recent result of Ben-Neria, Garti and Hayut.

Cite

@article{arxiv.1607.00751,
  title  = {(Weak) diamond can fail at the least inaccessible cardinal},
  author = {Mohammad Golshani},
  journal= {arXiv preprint arXiv:1607.00751},
  year   = {2021}
}

Comments

This is the preliminary version of the paper

R2 v1 2026-06-22T14:42:12.457Z