A. ROMNEY: If they don't pick Mitt, that's their stupid mistake, not mine. So anyway...
KARL: Of course, she was joking. Get it?
And on the flip-flop watch, remember this from last week's debate?
R. PERRY: If you say that we should not educate children who have come into our state for no other reason than they've been brought there by no fault of their own, I don't think you have a heart.
KARL: This week, Chris Christie scolded Rick Perry about that.
CHRISTIE: I do not believe that for those people who came here illegally that we should be subsidizing with taxpayer money. That is not a heartless position. That is a commonsense position.
KARL: The next day, Perry uncharacteristically took it back.
R. PERRY: I was probably a bit over-passionate by using that word, and it was inappropriate.
M. ROMNEY: Good to see you today.
KARL: As for Mitt Romney, he invoked none other than Winston Churchill to defend his occasional flip-flop.
M. ROMNEY: In the private sector, if you don't change your view when the facts change, well, you're get fired for being stubborn and stupid. It was Winston Churchill who said, when the facts change, I change, too, madam.
KARL: Finally, Sarah Palin suggested the title "president" might simply be too limiting for her.
PALIN: Is a title and is a campaign too shackling? Does that prohibit me from being out there, out of a box, not allowing handlers to shape me?
KARL: Shackling. In other words, not maverick-y.
And trending this week, Florida, up. It's primary now January 31st. South Carolina, down, still first in the South, but now sure to be overshadowed by Florida. Rick Perry, down, looking kind of like the Red Sox -- well, not that bad. Chris Christie, up. We're not sure where, but definitely up. Ron Paul, down. The most wanted terrorist in the world is killed, and he says it's quote, "sad." Really? And Herman Cain, up, way up. A Fox News poll putting him in third place, statistically tied with Rick Perry.
With "This Week in Politics," I'm Jonathan Karl.
(END VIDEO CLIP)
AMANPOUR: So a big week for businessman Herman Cain, and he joins me right now.
Thank you for being here.
CAIN: Good morning. It's my pleasure.
AMANPOUR: So you've had a pretty big high, the straw poll, all sorts of other polls. How are you going to capitalize on this? How are you going to keep this momentum up?
CAIN: First, we're going to stick with our strategy, by going to the people. As an example, the straw poll in Florida last week, which really got the attention of a lot of people -- because it differed from a lot of the other straw polls in that actual delegates were casting the straw poll. And because my win was so convincing, it caused people to take note that there's something going on out here other than how the media is portraying this being one-, two-person race. It's not just a one-, two-person race.
AMANPOUR: Let me -- let me start by asking you some of these questions.
AMANPOUR: You've just seen what President Obama said last night about that incident at the Florida debate, where there was booing in the audience when a gay soldier started to speak. Nobody said anything. You didn't, Rick Santorum, none of the others did. Do you wish you had said something, intervened at that moment?