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THE PROPER FORCING AXIOM,PRIKRY FORCING,AND THE SINGULAR CARDINALS HYPOTHESIS
FORCING AXIOM PRIKRY FORCING SINGULAR CARDINALS
2015/8/17
The purpose of this paper is to present some results which suggest that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. What will be proved is that a form of simultaneous refl...
Violating the Singular Cardinals Hypothesis Without Large Cardinals
Singular Cardinals Hypothesis Large Cardinals Logic
2011/8/30
Abstract: We extend a transitive model V of ZFC + GCH cardinal preservingly to a model N of ZF + "GCH holds below Alef_omega" + "there is a surjection from the power set of Alef_omega onto lambda" whe...