A neutrino factory is capable of answering basic questions in the physics of
neutrino oscillations, which address fundamental issues in Grand Unified
Theories and flavour physics. In addition, the front end of a neutrino factory
offers exciting prospects using slow and stopped muons, such as the search for
mu to e transitions and the muon electric dipole moment. There are also
opportunities to study muonic atoms and in other areas of science. One should
also keep in mind the long-term objective of building a muon collider, either
for Higgs physics or at the high-energy frontier.Comment: 16 pages, 6 eps figures, talk at the 2001 Venice International
Workshop on Neutrino Telescope
