In a cold and rainy day in Johannesburg today, tens of thousands of South Africans—and nearly a hundred heads of state—gathered today at FNB stadium to remember Nelson Mandela as a transcendent figure who changed history. Millions more around the globe were expected to be watching on TV from home. "It took a man like Madiba to free not just the prisoner, but the jailor as well; to show that you must trust others so that they may trust you," President Obama, using Mandela's tribal name, said in a speech that drew thunderous applause and a standing ovation from the crowd. "He changed laws, but also hearts." You can watch Obama's full speech above.