Weather is the short-time-scale (< a few days) evolution of the of the atmosphere.
Climate is the statistics of weather.
Weather
prediction. The
evolution of the state variables of the atmosphere is governed by nonlinear
dynamics (i.e. ÒchaosÓ), and is therefore inherently
unpredictable beyond a certain period of time.
Climate
prediction. There
is no reason to doubt the predictability of the statistics of weather.