Four months after American submarines began launching missiles and U.S. pilots began flying sorties, does anyone, perhaps even including President Obama, really know what we are trying to do in Libya? It is true that, compared to Afghanistan, a major war whose outcome is generally agreed to hang in the balance, and to Iraq, from which we have not yet completely withdrawn, and even to Somalia and Yemen, where the tempo of our counterinsurgency operations have been steadily increasing, both directly and by proxy, Libya may seem minor. But, if our military operations in that country are hardly the greatest burden our armed forces confront, they are also hardly trivial. Less than a month before he left office, outgoing Secretary of Defense Robert Gates estimated the U.S. would spend $750 million on the Libyan operation, while a Department of Defense document published in May revealed the American contribution to Operation Unified Protector involved 75 aircraft (including drones), flying 70 percent of the reconnaissance missions, 75 of refueling missions, and more than one-quarter of all air sorties. And yet, from March 28, when President Obama announced Operation United Protector’s predecessor, Operation Odyssey Dawn, until now, the fog of incoherent justification for the war has been at least as thick of the proverbial fog of war itself.

Have we gone to war? Well, no, not exactly. We were, Obama said in that first speech, “[committing] resources to stop the killings” of innocent Libyan civilians by Colonel Qaddafi’s forces. If the United States has initiated combat operations, this really amounted not to war-fighting, but to taking “all necessary measures to protect the Libyan people” and to “save lives.” And did our actions mean that the goal of the mission was regime change, Iraq- or Afghanistan-style? Not at all, the president insisted. Taking a predictable swipe at the Bush administration, he said dismissively that we had already gone “down that road in Iraq.” It was an apt metaphor, if, perhaps, unconsciously so, since regime change would have required just that: sending troops down the road, on the ground in Libya. And that, the president argued, would be far more dangerous than what he was ordering the military to do.

This may have sounded like the prudent thing, but what it was—what it is, for nothing has changed at all in this regard over the course of the past four months, even though we have officially recognized the Libyan rebels—is the incoherent, internally self-contradictory thing. We believe Qaddafi must go, and we will not let him make significant advances on the ground, but we refuse to take responsibility for his overthrow. So, to use a military term of art, we have an end state—Qaddafi’s ouster—but we are not willing to do what is needed to attain that goal expeditiously, which, of course, is why there is at least, for the moment, still a stalemate on the ground in Libya.

The stark fact is that the outcome Obama wants and the means he is willing to use to secure it are hopelessly mismatched. And this is leaving aside the fact that this “a donkey is a horse designed by a committee” intervention flies in the face of the sense of the War Powers Act and represents one more ornament in the crown of the imperial executive. Oh, for the days of a good old-fashioned congressional declaration of war!

I AM NOT joking. The U.S. involvement in Libya is the logical outcome of policies, pursued under both Republican and Democratic administrations (Somalia under President George H. W. Bush, Bosnia and Kosovo under President Bill Clinton), in which war was never fully acknowledged to be war, with all the gravity that such an acknowledgment would have implied. Instead, we were told that what was taking place was a so-called humanitarian intervention, a kind of armed emergency relief operation (as in Somalia in 1991), or armed human rights intervention (in the Balkans and, now, in Libya). The latest version of this delusion is the so-called Responsibility to Protect doctrine, or R2P, as it is almost universally known, that was adopted by the United Nations World Summit in 2005 and ratified by the General Assembly in 2008 with the support of George W. Bush’s administration. R2P states that sovereignty is not absolute and, when a nation is committing crimes against its own population, where feasible and in those cases where all other (non-military) means are believed to have failed, outside powers not only may, but actually have a duty, to intervene. R2P is cited explicitly in U.N. Security Council Resolution 1973—the same resolution Obama cited in his speech announcing that he had ordered U.S. military action in Libya.