The Islamic State’s latest atrocities have triggered global revulsion.Beheading two utterly harmless and innocent Japanese men, Haruna Yukawa and Kenji Goto, was bad enough. Earlier this week the executioners decided they had to up the ante by putting the captured Jordanian pilot Moaz al-Kasasbeh in a cage and burning him alive. Today, they’re claimingthat a 26-year-old American female hostage, Kayla Mueller, was killed by Jordanian airstrikes. Needless to say, Islamic State (IS) leaders have been eager to compound the obscenity of these killings by distributing video of them across the web.

The reaction has been predictable: outrage and indignation. President Obama describes IS as a “brutal, vicious death cult.” He’s right. But what are we going to do about it? In his confirmation hearings this week, Ashton Carter, the president’s nominee for secretary of defense, said that U.S. strategy should aim to impose a “lasting defeat” on IS. Part of this, he said, has to involve “partners on the ground.” He was talking about Jordan, a country whose people now appear unified by horror over the killing of their compatriot.