INCOMPATIBILITY OF GENERIC HUGENESS PRINCIPLES
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Published:2023-02-01
Issue:2
Volume:29
Page:157-162
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ISSN:1079-8986
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Container-title:The Bulletin of Symbolic Logic
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language:en
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Short-container-title:Bull. symb. log
Abstract
AbstractWe show that the weakest versions of Foreman’s minimal generic hugeness axioms cannot hold simultaneously on adjacent cardinals. Moreover, conventional forcing techniques cannot produce a model of one of these axioms.
Publisher
Cambridge University Press (CUP)