%0 Journal Article %T The Proper Forcing Axiom and the Singular Cardinal Hypothesis %A Matteo Viale %J Mathematics %D 2005 %I arXiv %X We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof is by interpolation and uses the Mapping Reflection Principle. %U http://arxiv.org/abs/math/0509633v1