Mr. Blair also said that a lasting resolution of the Israeli-Palestinian conflict was essential to defeating extremism.
"This most reprehensible act has further fortified our determination to intensify efforts to defeat terrorism and extremism," he wrote.
Improving healthcare and education is the only way to defeat extremism.
Furthermore, he refers to Iran's stake in "defeating extremism" and refers to the American efforts to dislodge Saddam Hussein as "bare and brutish force."
A central tenet of the Foundation's vision is that greater understanding among religions and among peoples will ultimately defeat extremism, and help nurture an environment where people can live together in peace.
The UK will support Iraq in its efforts to defeat extremism and terrorism.
Sunny Hundal wrote in an exchange with Sir Iqbal Sacranie: "In order to defeat violent extremism, we must understand what motivates these people and what turns them into killers.
By using torture, the country relinquishes the very ideological advantage - the promotion of democracy, freedom and human rights - that the president has so persistently claimed is America's most powerful weapon in defeating Islamic extremism.
However, while we have a high stake in defeating extremism, we cannot accept many of the tactics employed to this end by the United States.
Progress of this kind will also help to defeat extremism and fanaticism, because the latter tend to flourish wherever there is poverty and ignorance.