Article ID Journal Published Year Pages File Type
4661619 Annals of Pure and Applied Logic 2016 21 Pages PDF
Abstract

Starting from infinitely many supercompact cardinals, we force a model of ZFC where ℵω2+1ℵω2+1 satisfies simultaneously a strong principle of reflection, called Δ-reflection, and a version of the square principle, denoted □(ℵω2+1)□(ℵω2+1). Thus we show that ℵω2+1ℵω2+1 can satisfy simultaneously a strong reflection principle and an anti-reflection principle.

Related Topics
Physical Sciences and Engineering Mathematics Logic
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