  We develop a theory of the EPR-like effects due to neutrino oscillations in
the $\pi \to \mu\nu$ decays. Its experimental implications are space-time
correlations of neutrino and muon when they are both detected, while the pion
decay point is not fixed. However, the more radical possibility of muon
oscillations in experiments where only muons are detected (as it has been
suggested in hep-ph/9509261), is ruled out. We start by discussing decays of
monochromatic pions, and point out a few ``paradoxes''. Then we consider pion
wave packets, solve the ``paradoxes'', and show that the formulas for $\mu nu$
correlations can be transformed into the usual expressions, describing neutrino
oscillations, as soon as the pion decay point is fixed.
