Republican candidate Mitt Romney and President Barack Obama wave at the audience after a debate in Denver, Colorado, October 4, 2012. Photo by John Leyba, Photo Credit: The Denver Post

In the third and final debate before the presidential election, President Obama and Mitt Romney exchanged harsh words Monday over how to best guide the nation's foreign policy, attacking each other on experience and vision while attempting to delineate their own differences on issues like Iran and Syria.

In the 90-minute debate at Florida's Lynn University, Mr. Obama was swift to cast Romney as inexperienced and incoherent on foreign policy, lambasting his ideas as "wrong and reckless" within minutes of the debate's kick-off, and taking every possible opportunity to stress the areas in which Romney "agrees" with his policies.

Combating criticism over his actions in Iran, Syria, and across the Middle East, Mr. Obama painted a stark contrast between the "strong, steady leadership" he said he offered, versus what he cast as Romney's "wrong and reckless leadership that is all over the map."

"Every time you've offered an opinion, you've been wrong," the president argued, seizing on his opponent's past positions on Iraq and Afghanistan. "You said that we should still have troops in Iraq to this day. You indicated that we shouldn't be passing nuclear treaties with Russia despite the fact that 71 senators, Democrats and Republicans, voted for it. You said that, first, we should not have a timeline in Afghanistan. Then you said we should. Now you say maybe or it depends, which means not only were you wrong, but you were also confusing in sending mixed messages both to our troops and our allies."

Underscoring his rival's dearth of experience in the foreign policy arena, Mr. Obama sought to cast doubt on Romney's understanding of basic foreign policy principles -- including "how our military works" -- and cast his ideas as regressive and outdated. "The 1980s, they're now calling to ask for their foreign policy back because, you know, the Cold War's been over for 20 years," he said at one point.

"I think Governor Romney maybe hasn't spent enough time looking at how our military works," he said, addressing the former Massachusetts governor's comments about impending cuts to the defense budget. "You mentioned the Navy, for example, and that we have fewer ships than we did in 1916. Well, Governor, we also have fewer horses and bayonets, because the nature of our military's changed. We have these things called aircraft carriers, where planes land on them. We have these ships that go underwater, nuclear submarines."

"The question is not a game of Battleship, where we're counting ships," he added.

Romney, striking a considerably less hawkish tone than in past appearances, cast Mr. Obama's leadership abroad as weak and ineffective, and accused him of using personal attacks to divert from the substantive issues at hand.

"Attacking me is not an agenda. Attacking me is not talking about how we're going to deal with the challenges that exist in the Middle East, and take advantage of the opportunity there, and stem the tide of this violence," Romney said.