So said Robert Heinlein in his first (and worst) published novel, Beyond This Horizon, set in a future which has revived the custom of (only) men bearing weapons in public and responding to slights with a challenge to a duel.
But “polite” is not a word I’ve ever heard applied to South Central L.A.
Stephen Pinker, in The Blank Slate, talks about this idea (at least orthagonally). As I stated in the other thread, he suggests that in a society in which people do not feel that a law-enforcement organization adequately provides for their protection, many folks rely on their reputation to protect them. As such, they work to build a reputation as someone who won’t tolerate the slightest slight, as someone who will vastly overreact to a slight, on the belief that they’ll therefore be safe from predation.
It’s not a question of whether an armed society is a polite society, then: it’s a question of whether a lawless society is a polite society. It’s not, if you believe that politeness requires a certain amount of give and take.
In addition to South Central, I also submit the Old West as a test example. One might infer that being known as armed and willing to respond to slights with lethal force does indeed make people treat you with respect, until you turn your back and it catches a bullet.
As a society, we have in common decided that rudeness is deserving of death, and written laws and customs accordingly. I think that the only way that an armed society would lead to a polite society is if we rethought this conclusion.
A German coworker in Switzerland claimed that the Swiss are so polite because they all know that everybody else does have an automatic in his house. Not “may have:” “has.” Government issue, even. So you don’t want to drive your neighbor up a wall, no no no!
The Swiss are very polite but I didn’t find them particularly welcoming, or helpful.