Psychohistory can work in a society very different from ours (and certainly not the one Azimov described). In our society randomness plays too big of a role. So

Psychohistory can work in a society very different from ours (and certainly not the one Azimov described). In our society randomness plays too big of a role. Some of the current sources of uncertainty (like technological progress, or the personal freedom we have) may disappear in 1000 years, but this is purely a speculation.