You mistake my choice not to feel as a reflection of my not caring, while I assure you the truth is precisely the opposite. — Star Trek Into Darkness

I will not answer emotional argument with emotion.  I try to not answer insult with insult.  If I am offended, but see nothing to gain from continued conflict, I shut that conflict off and walk away if I can.  Silence from me does not mean acquiescence, it means I am too angry to respond.  If I have not told you I give up, I haven’t.  Don’t assume that I’m not going to resist because I’ve stopped arguing.  I’ve just gotten to the point where continued engagement is useless, so I’m going to go over to diplomacy by other means.

On the flip side, if I’m still arguing with you or trading good-natured barbs, it means I still think you’re worth talking to.  Take that for what it’s worth.