Indescribable cardinals without diamonds

Archive for Mathematical Logic 31 (5):373-383 (1992)
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Abstract

We show that form, n≧1 the existence of a∏ n m indescribable cardinal is equiconsistent with the failure of the combinatorial principle at a∏ n m indescribable cardinal κ together with the Generalized Continuum Hypothesis

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10.1007/bf01627508

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Citations of this work

Diamonds, compactness, and measure sequences.Omer Ben-Neria - 2019 - Journal of Mathematical Logic 19 (1):1950002.
◇ at Mahlo cardinals.Martin Zeman - 2000 - Journal of Symbolic Logic 65 (4):1813-1822.

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References found in this work

Constructibility.Keith J. Devlin - 1987 - Journal of Symbolic Logic 52 (3):864-867.
Higher Souslin trees and the generalized continuum hypothesis.John Gregory - 1976 - Journal of Symbolic Logic 41 (3):663-671.
Indescribable cardinals and elementary embeddings.Kai Hauser - 1991 - Journal of Symbolic Logic 56 (2):439-457.
The indescribability of the order of the indescribable cardinals.Kai Hauser - 1992 - Annals of Pure and Applied Logic 57 (1):45-91.

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