Hierarchies of ineffabilities

Toshimichi Usuba

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)230-237
Number of pages8
JournalMathematical Logic Quarterly
Volume59
Issue number3
DOIs
Publication statusPublished - 2013 May
Externally publishedYes

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Large Cardinals
Partition
Hierarchy

Keywords

  • P κ λ Ineffability
  • Subtlety
  • The partition property
  • The Shelah property

ASJC Scopus subject areas

  • Logic

Cite this

Hierarchies of ineffabilities. / Usuba, Toshimichi.

In: Mathematical Logic Quarterly, Vol. 59, No. 3, 05.2013, p. 230-237.

Research output: Contribution to journal › Article

Usuba, T 2013, 'Hierarchies of ineffabilities', Mathematical Logic Quarterly, vol. 59, no. 3, pp. 230-237. https://doi.org/10.1002/malq.201200003
Usuba T. Hierarchies of ineffabilities. Mathematical Logic Quarterly. 2013 May;59(3):230-237. https://doi.org/10.1002/malq.201200003
Usuba, Toshimichi. / Hierarchies of ineffabilities. In: Mathematical Logic Quarterly. 2013 ; Vol. 59, No. 3. pp. 230-237.
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