It has seemed apparent to me for some time that we are living through is actually a worked example of the Condorcet Paradox. My recent viewing of 'Twelve Angry Men' obviously brought to mind Condorcet's Jury Theorem, and so I sought out a cheap second hand copy of Szpiro's 'Numbers Rule' an interesting book dealing with the mathematics of democracy. I have to confess that I hadn't previously recognised that the balloting system used by the Richard III Society to allocate tickets for the re-internment of a somewhat later lord of Gloucester in Leicester Cathedral - a process which you will recall left me without an invitation - looked suspiciously like one described by Plato in his 'Laws'; yet another reason to dislike the man.
Let's finish with a qualitative rather than quantitative take on democracy:
"The theory of democratic government is not that the will of the people is always right, but rather that normal human beings of average intelligence will, if given a chance, learn the right and best course by bitter experience." - W.E.B. Du Bois
We shall see.