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In reply to the discussion: Gaza rocket fire kills Israelis [View all]Scootaloo
(25,699 posts)"Genocide" is the endeavor to cause the total annihilation of a particular group. It's a policy of extermination, literal, actual extermination, with the intent that the victims will be expunged from the human race.
Even at the worst, this is thankfully not something Israel has attempted. Israel has - and is - performing ethnic cleansing within Jerusalem and the West Bank, though it's relatively bloodless (compared to the ethnic cleansing of Albanians in Serbia, or the attempts in Sri Lanka and other places). Ethnic cleansing is a different thing from genocide, however.
In Gaza... I'm not sure exactly what you'd call it, I'm not sure if there's actual precedent to draw a name for it from. But it's not the Israeli's goal to exterminate the people of Gaza.