Seesaw energy scale and the LSND anomaly

The most general, renormalizable Lagrangian that includes massive neutrinos contains ``right-handed neutrino'' Majorana masses of order M. While there are prejudices in favor of MMweak, virtually nothing is known about the magnitude of M. I argue that the Liquid Scintillator Neutrino Detector (LSND) anomaly provides, currently, the only experimental hint: M~1 eV. If this is the case, the LSND mixing angles are functions of the active neutrino masses and mixing and, remarkably, adequate fits to all data can be naturally obtained. I also discuss consequences of this ``eV-seesaw'' for supernova neutrino oscillations, tritium beta-decay, neutrinoless double-beta-decay, and cosmology.