6 search results - page 1 / 2 » The proper forcing axiom and the singular cardinal hypothesi... |
JSYML
2006
13 years 4 months ago
2006
We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses the reflection principle MRP introduced by Moore in [11].
APAL
2006
13 years 4 months ago
2006
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 ...
BSL
2008
13 years 5 months ago
2008
JSYML
2010
12 years 11 months ago
2010
We determine exact consistency strengths for various failures of the Singular Cardinals Hypothesis (SCH) in the setting of the Zermelo-Fraenkel axiom system ZF without the Axiom o...
JSYML
2007
13 years 4 months ago
2007
Abstract. A new axiom is proposed, the Ground Axiom, asserting that the universe is not a nontrivial set forcing extension of any inner model. The Ground Axiom is first-order expr...