When the Oslo process collapsed in October 2000, and then the violence of the 2nd Intifada got worse and worse, and stayed worse for almost three years, there was total unanimity of opinion among almost anyone who had an opinion: the media, the diplomatic corps, the UN, accepted wisdom, academia, heads of state, politicians the world over, the remnants of our own peace camp (the blogosphere, too, tho it hadn't yet hit its stride in those faraway days). Everyone preached that the one and only single option to end the violence was through peaceful means, which in most cases meant that Israel had to offer the Palestinians better incentives to convince them to desist from the anger and its resultant violence. There's no other option, we were told. None. Not any. Inconceivable. Unimaginable. Not even theoretically possible. Only one thing to do: give the Palestinians more than had been offered them, and hope for the best. That'll work, but nothing else will. Absolutely totally completely nothing.
I apologize for laboring the point a bit, but I'm merely reflecting the reality of those days.
Alas, there wasn't much we felt we could offer the Palestinians at the time, nor were we in the mind to continue to offer what we'd already offered anyway, just before they launched the violence. Arguably, we're not in the mood till this very day, but that's a different subject.
Eventually some of our security chaps began suggesting we could arrest or kill so many terrorists, that the Palestinians would run out of supply. This thesis was called "emptying the barrel", and was much derided by all those folks cited above.
The security chaps were right. In all of the northern West Bank, there is no-one left they're still trying to get, and in the southern half of the West Bank only a handful are still being sought for. True, this achievement has been significantly assisted by collaboration with the PA security forces in the West Bank, but that has been reached without Israel making any strategic compromises of the sort demanded by "the World" back in 2000-2003. The PA made the decision because of its own interests, some of which have to do with Israeli actions.