The Proper Forcing Axiom and the Singular Cardinal Hypothesis

Journal of Symbolic Logic 71 (2):473 - 479 (2006)
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Abstract

We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses the reflection principle MRP introduced by Moore in [11]

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Citations of this work

Maximality Principles in Set Theory.Luca Incurvati - 2017 - Philosophia Mathematica 25 (2):159-193.
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Aronszajn trees, square principles, and stationary reflection.Chris Lambie-Hanson - 2017 - Mathematical Logic Quarterly 63 (3-4):265-281.
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References found in this work

Set mapping reflection.Justin Tatch Moore - 2005 - Journal of Mathematical Logic 5 (1):87-97.
Fragments of Martin's Maximum in generic extensions.Y. Yoshinobu & B. Konig - 2004 - Mathematical Logic Quarterly 50 (3):297.
Blowing up power of a singular cardinal—wider gaps.Moti Gitik - 2002 - Annals of Pure and Applied Logic 116 (1-3):1-38.
Powers of regular cardinals.William B. Easton - 1970 - Annals of Mathematical Logic 1 (2):139.

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