Quoted:
Terrorism is attacks on non-governmental civilian targets by extra-governmental groups in order to cause terror and unrest among the civilian population and destabilize the sitting government.
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Nice definition. Check into the history of the Civil War, I think you'll find quite a bit of that occuring on both sides.
The enemy are radical Islamic terrorist organizations who employ such tactics (including Hamas, Al Quaeda, and Abu Sayaff) and those states which give aid and comfort to them.
Any more questions?
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And when (more like "if") you destroy these groups? Are you going to destroy the groups that arise after them? And the groups that arise after them? And the groups that arise after them?
It's not a war. Victory nor defeat can ever be declared when you are fighting a shadow that has thousands of names and millions of children.
I think you are in a serious state of "denial" if you honestly believe that these groups are going to be destroyed. The Israelis have been trying to destroy Hamas and the PLO for decades.