Counter-Intuition and Scalar Masses

The Bousso-Polchinski mechanism for discretely fine-tuning the cosmological constant favors a large bare negative cosmological constant. I argue (using generalizations of results of Klebanov and Tseytlin) that a similar mechanism for fine-tuning the scalar masses to small values favors a large bare negative (i.e. tachyonic) scalar mass. I comment briefly on the related issue of the role of low energy supersymmetry in string theory.