Inequality (or say, unequality, if the former has negative implications deriving from where and in what sense it is used) is a paradox–it is the key driver of our civilization and breeder of a hell lot of miseries simultaneously.
While we can check policy-caused and mismanagement-driven inequality by bringing about appropriate changes engaging the best of brains among us, but I cannot, by any stretch of my poor mind, imagine the possibility of bringing about flat, planed-off equality for all, by no means. Even a perfect socialist society cannot do that, and an obstinate attempt to pursue such an equality will surely like death end up paralyzing what makes humans humans if humans don’t break the attempt first.
The source of inequality lies in the seed–no two persons, even identical twins, are equal and they are differently capable. Thinking equal redistribution of material wealth would set it all right would be repeating the same utopian socialist mistake simply because no two persons have the desire to use wealth in the same way, and these different ways produce different results the values of which are not best meadured by the same yardstick. Even when the redistributed wealth shares are spent/invested for good and profitable purposes, even then the results/returns would have different economic values, meaning that while all those investments are economic practices, economic measure is not the only measure for the values of the returns. But the difference in the economic values of these results cause wider and wider inequality from the next investment/spending onwards.
Reducing educational inequality will not solve the income and economic inequality, though it may help push up the incomes of some people because equal education does not mean equal skills, and equal education does not level basic human unequality. There must have been Einstein’s and Hitler’s classmates who climbed the same ladder of education together with them rung after rung. Inequality and unequality are unassailably related.
It is only the virtues of human kindness, compassion, magnanimity, and the feeling of fellowship, friendship and companionship and so on that keep inequality as one of our basic and most invaluable natural drivers of progress and prevent it from becoming our inbuilt destroyer.