I've recently been thinking about the nature of democracy and how perfection within it is more or less impossible. Some aspects of it largely come down to personal choice: popular or liberal democracy? Presidential or parliamentary? Obviously you can't please everyone even if the answer is clearly liberal parliamentary democracy!

But there is, in fact, a simple problem of arithmetic that means that with most sets of real voters it's impossible to have an absolutely perfect democratic result. I also think that you usually can't have perfectly functioning representation. And also that ideal representation and democracy, to some extent, work against each other.