Ideal Operators and Higher Indescribability

Journal of Symbolic Logic:1-39 (forthcoming)
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Abstract

We investigate properties of the ineffability and the Ramsey operator, and a common generalization of those that was introduced by the second author, with respect to higher indescribability, as introduced by the first author. This extends earlier investigations on the ineffability operator by James Baumgartner, and on the Ramsey operator by Qi Feng, by Philip Welch et al., and by the first author.

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Citations of this work

Two-cardinal ideal operators and indescribability.Brent Cody & Philip White - forthcoming - Annals of Pure and Applied Logic.

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References found in this work

A refinement of the Ramsey hierarchy via indescribability.Brent Cody - 2020 - Journal of Symbolic Logic 85 (2):773-808.
Ramsey-like cardinals.Victoria Gitman - 2011 - Journal of Symbolic Logic 76 (2):519 - 540.
Small models, large cardinals, and induced ideals.Peter Holy & Philipp Lücke - 2021 - Annals of Pure and Applied Logic 172 (2):102889.

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