  We present the cosmic neutrino detecting potential of the Telescope Array for
quasihorizontally downward and upward air showers initiated by very high energy
neutrinos penetrating the air and the Earth respectively. We adopted model
predictions for extraterrestrial neutrino fluxes from active galactic nuclei,
gamma-ray bursters, Greisen photo production, the collapse of topological
defects, and Z-bursts. The Telescope Array, using a large array of bright and
wide field-of-view flourescence telescopes, can esplore these very high energy
cosmic neutrino sources.
