2. ''Bin Laden attacked us because of our freedoms'': This was a common trope of President George W. Bush. ''They hate our freedoms,'' he told Congress after September 11, ''our freedom of religion, our freedom of speech, our freedom to vote and assemble and disagree with each other.'' Yet, in all the tens of thousands of words uttered by bin Laden, he was strangely silent about American freedoms and values. His focus was invariably on US foreign policy in the Middle East. In a review of 24 statements made by bin Laden from 1994 to 2004, the political scientist James Payne found that 72 per cent of the content referred to alleged Western or Jewish attacks against Muslims, while only 1 per cent criticised American culture or way of life.

In a 2004 video bin Laden said: ''Contrary to what Bush says and claims - that we hate your freedom. If that were true, then let him explain why did we not attack Sweden.''

3. ''Al-Qaeda's ideology has nothing to do with Islam'': To his credit, Bush was quite firm that al-Qaeda represented a perversion of Islam, and one of his first acts after September 11 was to visit a mosque in Washington. But members of al-Qaeda firmly believe that their struggle has everything to do with the defence of what they consider true Islam. And bin Laden found ammunition in the Koran to give his war some Islamic legitimacy, often invoking the ''Sword'' verses of the holy book, which can be selectively interpreted as urging attacks on those who won't submit and convert to Islam. They read: ''Once the Sacred Months are past (and they refuse to make peace), you may kill the idol worshippers when you encounter them, punish them, and resist every move they make. If they repent and observe the Prayers and give the obligatory alms-giving you shall let them go.'' Of course, that is a selective reading of the Koran, but for believers, this is not a mere book - it is literally the word of God.

4. ' ''Zawahiri, not bin Laden, is the real brains of al-Qaeda'': The conventional view is that Zawahiri, an Egyptian doctor and al-Qaeda's longtime second in command, has been bin Laden's ''brain.'' But in making the most important strategic shift in al-Qaeda's history - identifying the US as its key enemy, rather than Middle Eastern regimes - bin Laden brushed aside Zawahiri's obsessive focus on overthrowing the Egyptian government. Noman Benotman, a Libyan militant who has spent considerable time talking with both of al-Qaeda's leaders, told me in an interview that ''Osama influenced Zawahiri with his idea: Forget about the 'near enemy'; the main enemy is the Americans.''

Bin Laden also kept Zawahiri in the dark for years about al-Qaeda's most important operation, cluing in his deputy only during 2001.