Notes

“But since there is but one aim for the entire state, it follows that education must be one and the same for all, and that the responsibility for it must be a public one, not the private affair which it now is, each man looking after children and teaching them privately whatever private curriculum he thinks they ought to study.”
1) This shows itself in today's world because now we have a school system that every citizen goes to.
2-7: A city-state must be populous enough to be self-sufficient, but too large a state cannot be a city-state because it is not easy to have a system of government in it. It is too large to be effectively managed militarily, and no herald can shout loud enough [to conduct the assembly meetings of a large population].
2)the idea of representitives
In democracies, the rich should be spared and not have their property or their incomes redivided [for distribution to the poor]. They should also be prohibited from spending money on expensive but useless sponsorship of public occasions (liturgies) such as leading choral groups for musical and dramatic festivals or officiating at torch races, even if they want to pay for such sponsorship
3) the idea of well fare