How do you know what they were thinking?
I can never know precisely what they were thinking, but taking the quotes from this article:
http://www.thenorthernecho.co.uk/news/10436704.Woolwich_attack___you_will_never_be_safe/
"He said 'Don't touch, I killed him'. I said 'Why?' He said 'He's a British soldier. He killed people. He killed Muslim people in Muslim countries'.
He explained to her that the victim was a British Soldier and has "probably" killed Muslims in their own Country. So he recognised who he had killed immediately with his justification.
And I said, 'OK. So what would you like?' I tried to make him talk about how he felt. He said all the bombs dropping and blindly killing women, children...
He's referring to drone strikes, artillery strikes where innocent Muslim women and children are killed or caught up in the crossfire.
"More and more people were starting to come. There were so many people around. I just looked around and I found it so daunting."
Ms Loyau-Kennett said her thoughts were to just carry on talking to the man, while several women arriving at the scene tried to shield the victim.
She said: "I wanted him to concentrate on me and make sure he doesn't have a funny idea.
"He (the killer) told me he was a British soldier - he didn't look like a British soldier to me, he wasn't in uniform. But I thought if another one passes by, or is in the area..."
This doesn't make sense to me as it contradicts his first statement where he identified the victim as being a soldier. I need to watch the video and listen whether he makes that remark, as the Woman may also have been mistaken as it would have been a terrifying time for her too.
Asked if she was scared, the woman replied: "No - better me than a child.
"Unfortunately, there were more and more mothers with children stopping around, so it was even more important I was talking to him and ask him what he wanted."
Woolwich and Greenwich MP Nick Raynsford praised the extraordinary bravery of members of the public who approached the killers.
The men are in separate London hospitals being treated for injuries after they were shot by police at the scene.
Relatives of the dead soldier have been informed, though he has yet to be named.
One of the attackers behind the barbaric killing was filmed wielding a bloodied meat cleaver, saying: "We swear by almighty Allah we will never stop fighting you.
ANY soldier who fights against Muslims in foreign lands or the Homeland (Britain)
"In the chilling footage, he explains his terrifying actions.
"We must fight them as they fight us. An eye for an eye, a tooth for a tooth, he is heard to say in the clip," obtained by ITV News.
His interpretation of an Islamic Legislation which he took in the literal sense for retribution towards the soldier.
"I apologise that women have had to witness this today, but in our land our women have to see the same. You people will never be safe. Remove your Government, they dont care about you."
He apologises for those who had witnessed the murder and any trauma it caused them. "In our Land" (the Muslim territories) Women witness the killing of those who are innocent victims of war or who are fighting for their beliefs, culture, faith (way of life). "The Government don't care about you" (The Government will continue to use innocent people and send them to war to fulfil any hidden agendas)
If I find the video I will hear exactly what he said. I don't trust media articles.