It's hard to salvage a presidential candidacy after saying something like that. But Romney's supporters are doing their best. His gaffe, they argue, is no worse than what Barack Obama once told his donors about voters who defend guns and religion.

So let's compare the two episodes. Let's see what they tell us about Romney and Obama.

In April 2008, Obama spoke at a fund-raiser in San Francisco, Calif. Here's what he said, according to an audio recording published by the Huffington Post: "We've got a couple of folks who are heading out to Pennsylvania to go door to door with us. And the question was: What kinds of questions should I expect them to get? ... The places where we are going to have to do the most work are the places where people feel most cynical about government. The people are misapprehend -- I think they're misunderstanding why the demographics in our -- in this contest have broken out as they are. Because everybody just ascribes it to "white working-class don't want to work -- don't want to vote for the black guy." That's -- there were intimations of that, there was an article in the Sunday New York Times today that kind of implies that it's sort of a race thing. ...

Conservatives find Obama's line about guns, religion and immigration patronizing. They're right. The recording exposes Obama's assumption that blue-collar conservatism on these issues should be taken not at face value but as a psychological symptom or rationalization.

But notice what else the recording shows. Obama tells his audience not to write off any group. He recommends humility and openness. Even in the most unlikely neighborhoods, among "people of every background," he tells his volunteers they'll find supporters.

He also advises the volunteers not to write off every voter who seems unreceptive. The tough reception, he suggests, might be just a "layer of skepticism," a "part of them that just doesn't buy it." Beneath that layer, the whole voter is more complicated.

In particular, Obama rejects the caricature of hostile white voters as racists. Instead of assuming that they just "don't want to vote for the black guy," he asks his volunteers to focus on these voters' economic concerns. He counsels empathy. "They feel so betrayed," he says.

The whole thrust of Obama's answer is persuasion. He calls guns-and-religion precincts "the places where we are going to have to do the most work." He says "our challenge is to get people persuaded" in those neighborhoods. "The important thing," he concludes, "is that you show up" and make the case, based on tax and health care policy.

Now read this excerpt from the video of Romney addressing Republican donors on May 17, 2012: "There are 47 percent of the people who will vote for the president no matter what. All right? There are 47 percent who are with him, who are dependent upon government, who believe that they are victims, who believe that government has a responsibility to care for them, who believe that they are entitled to health care, to food, to housing, to you name it. That that's an entitlement, and that government should give it to them. And they will vote for this president no matter what. I mean, the president starts off with 48, 49 -- he starts off with a huge number. These are people who pay no income tax. Forty-seven percent of Americans pay no income tax. So our message of low taxes doesn't connect.

Notice the differences. Romney, unlike Obama, writes off skeptical voters: "They will vote for this president no matter what." He simplifies and caricatures them: They "believe that they are victims ... I'll never convince them that they should take personal responsibility." He counsels not empathy but indifference: "My job is not to worry about those people." And he speaks this way not about a fringe constituency, but about 47 to 49 percent of the country.

Why does Romney talk this way? Maybe it's because he thinks like a CEO, telling his investors how he'll hit his revenue numbers by focusing on half the market. Maybe it's because, as a businessman, he believes it's efficient to make broad judgments about programs and constituencies that can't be salvaged. Whatever the reason, these two recordings -- these peeks at what the candidates tell their supporters when they think we aren't looking -- show us that one man thinks very differently from the other.

This week, after Mother Jones posted the video, Romney tried to revise his remarks. He said the 47 to 49 percent of voters who support Obama aren't absolutely certain to vote that way. He insisted, "Of course, individuals are going to take responsibility for their lives. My campaign is about helping people take more responsibility and becoming employed again."

And he pleaded, "This is really a discussion about the political process of winning the election. ... Typically I don't talk about process in speeches, because I think candidates are wiser to talk about policy and their vision than to talk about how they're going to win an election."

We get it, Mitt. Onstage, you pretend to court us. Backstage, you badmouth and dismiss us. Not just the left, but the 49 percent. You say the president has failed to unite the country. That may be true. But you aren't even trying.

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