Suppose you have just made a nice amplifier and are testing it
out with a sine-wave input. You switch the input function
generator to a square wave, but the output remains a sine wave!
You don't have an amplifier; you've got trouble.
Parasitic oscillations aren't normally as blatant as this. They
are normally observed as fuzziness on part of a waveform, erratic
current-source operation, unexplained op-amp offsets, or circuits
that behave normally with the oscilloscope probe applied, but go
wild when the scope isn't looking. These are bizarre
manifestations of untamed high-frequency parasitic oscillations
caused by unintended Hartley or Colpitts oscillators employing
lead inductance and interelectrode capacitances.