  We report the 1-D cooling of $^{85}$Rb atoms using a velocity-dependent
optical force based upon Ramsey matter-wave interferometry. Using stimulated
Raman transitions between ground hyperfine states, 12 cycles of the
interferometer sequence cool a freely-moving atom cloud from $21~\mu$K to
$3~\mu$K. This pulsed analog of continuous-wave Doppler cooling is effective at
temperatures down to the recoil limit; with augmentation pulses to increase the
interferometer area, it should cool more quickly than conventional methods, and
be more suitable for species that lack a closed radiative transition.
