Israel shoots at terrorists. They shoot an antitank missile at a school bus. Israel targets the shooters. This is what the world means by a "cycle" of violence. The basis is the Muslim idea that if they are attacked, or even if they attack and a successful defense is mounted, they have to "avenge" the "insult" to their "honor". So every Israeli strike DOES bring more violence. But Israeli inaction is interpreted as weakness, and brings more violence. In Muslim terms, the only option is to strike them so hard they decide they CAN'T fight, right now. The best that can be hoped for is a stalemate, with their response postponed until they think they can get away with it again. Every 7-9 years, there has to be a war, massive destruction, mounds of dead Arabs. It's horrible, but it's the truth. The alternative, as all groups say "Palestine" will be Judenrein, is to either accept another 6,000,000, or forcibly move every Jew in Israel to England, France, the U.S., Australia, and a few other countries. You can guess how well that would go over, both in Israel, and in the countries that refused Jewish refugees before, during, and in some cases even after the Holocaust. Also, such a "victory" would, much as I dislike the term, massively embolden the new rulers of the former Tel Aviv, not discourage further outrages. If they don't have the Jews to shoot at any more, who's next? Those Saudi "Princes" we depend on? Or the West directly?