I feel sorry for his family. However, of course the United States isn't going to negotiate with his captors. We don't negotiate because if we did, then it would instantly create more of this exact same thing.
On a lighter note, although beheading sounds like a horrible way to go, on the big scale of ways to die, it probably isn't all that bad. Once the knife slices through the Carotid Artery, he probably slipped into unconsciousness rather quickly. This is in sharp contrast to burning at the cross like Joan of Arc endured.
The important thing is that he's now dead and is no longer suffering. The family will be suffering for magnitudes of time longer than he did.
Oh well -- sooner or later I'm sure we might get around to finding one of his captors. The funny thing is -- this American had a name and was known, while his captors are nothing but a bunch of nameless cowards who will just keel over and die someday without much fanfare.
I want to feel angry but than I stop and realize that is exactly how they want me to feel. However, what would I be angry over? This kind of thing is going to happen occasionally but we're still going to get what we came for and, by and large, most Americans will continue to live the good life thanks to the sacrifices made by this man and our troops.
I think I'll toast to him this weekend.