WEAKLY REMARKABLE CARDINALS, ERDAOS CARDINALS, and the GENERIC VOPĚNKA PRINCIPLE

We consider a weak version of Schindler's remarkable cardinals that may fail to be Σ2 - reflecting. We show that the Σ2-reflecting weakly remarkable cardinals are exactly the remarkable cardinals, and that the existence of a non-Σ2 -reflecting weakly remarkable cardinal has higher consistency s...

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Bibliographic Details
Main Author: Wilson, T.M (Author)
Format: Article
Language:English
Published: Cambridge University Press 2019
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