How we cite our quotes: (Chapter.Page)
Quote #7
In a country where they have ranks and castes, a man isn't ever a man, he is only part of a man, he can't ever get his full growth. You prove your superiority over him in station, or rank, or fortune, and that's the end of it—he knuckles down. (33.1)
Hank doesn't just hates the system, but also hates what it's done to people—everyone fails to realize their full potential.
Quote #8
He might be lame in agriculture, but this kind of thing was just in his line. (34.4)
Arthur gets into trouble when he tries to talk agriculture, which suggests that class differences are harder to eliminate than Hank would like. It also suggests that the pendulum swings both ways, and that if nobles didn't have power on their side, then the peasants wouldn't treat them any better.
Quote #9
There is nothing diviner about a king than there is about a tramp. (34.14)
Hank stresses character rather than station here: measuring worth by deeds not titles. It's pretty progressive. Also, Twain uses king and tramp basically as equals, which elevates the tramp up as much as it denigrates the king down. Twain really liked tramps, it seems—we see a lot of them in other books like Huckleberry Finn.