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Peter's post 14 is interesting, it is an argument that was presented by the supporters of the Oligarchy in ancient Greece, in cities such as Corinth and Thebes.
The Democrats, notably inspired by Athens, presented all the arguments about equal opportunities for all citizens.
When Corinth and Thebes did eventually turn to Democracy, they followed the footsteps of the Athenians, and got involved in wars in other parts of Greece trying to promote Democracy among the Greek poleis, and both Thebes and Corinth fell because of it.
The Athenians had tried to do the same, promoting Democracy with use of force, and paid a heavy price, with the Peloponnesian Wars and the war against Syracuse.
Today we see that whenever countries try to promote Democracy elsewhere, it often leads to wars. They do it in the name of equal opportunities and equality for all. But many people in the world are happy with their Oligarchic system, and prefer to have an elite that governs well.
My view is that, if all schools became equal, they would all fall to the lowest level of education, as not all children are equally capable of learning to the same extent.
The other view is that all children would become equally intelligent and reach the highest level of education.
I tend to agree with Peter's view in post 14.