Bounds on $\nu_{\mu}$ Oscillations from Atmospheric Neutrinos

A reanalysis of identified muon neutrino interactions from IMB 3 yields bounds on $\sin^{2}(2 \theta)$ and $\Delta m^{2}$. The limit $\sin^{2}(2 \theta) < 0.72$ is in conflict with the recent announcement of a neutrino mass.