Last month, an 18-year-old Chechen immigrant stalked, stabbed and decapitated ^[1] history teacher Samuel Paty in a Paris suburb near the middle school where he worked. Soon after, a Quran-carrying Tunisian man beheaded ^[2] a woman and fatally stabbed two other people in a church in Nice. In the same month, two British-born Islamic State militants were brought to the United States to face trial ^[3] for their participation in a brutal abduction scheme in Syria that ended with American and other hostages being beheaded on camera.

In a world wracked by violence, such killings stand out for their savagery. While the absolute number of victims is relatively small, the threat this practice poses to fundamental principles of modern civilisation should not be underestimated.

The ancient Greeks and Romans instituted ^[4] beheading as a mode of capital punishment. Today, radical Islamists commonly employ it ^[5] in extrajudicial executions, which have been reported in a wide range of countries, including Egypt, India, the Philippines and Nigeria. In Mozambique, up to 50 people, including women and children, have reportedly been murdered ^[6]—and, in many cases, decapitated—by IS-linked fighters this month alone.

Such savagery casts a long shadow—especially because perpetrators so often share images of their actions. Ever since the 2002 decapitation ^[7] of Wall Street Journal journalist Daniel Pearl in Pakistan, terrorist organisations have taken to posting videos of beheadings online. After murdering Paty, the perpetrator tweeted ^[8] a photo of the severed head.

For Islamists, beheadings are a potent weapon ^[9] of asymmetric warfare. The gruesome spectacle inspires jihadi sympathisers around the world, while fomenting fear in local communities, to the point that the Islamists are often able to impose their will—including medieval codes of conduct—on the societies in which they operate.

Jihadis represent a tiny minority of the world’s Muslims. But, by making clear their willingness to behave inhumanely, they have ensured that few dare defy them. Just this month, a Bangladeshi cricket star was forced, under threat of Islamist retaliation, to apologise ^[10] publicly for briefly attending a Hindu ceremony in India. Through such tactics, Islamists are gradually snuffing out more liberal, diverse Islamic traditions in non-Arab countries.

Although beheadings have a particularly visceral impact, they are far from the only way the jihadists incite fear. Earlier this month in Afghanistan, IS-linked gunmen stormed ^[11] Kabul University, killing at least 35—mainly students—and wounding dozens more. In Vienna, another Islamist, who had previously been jailed for trying to join IS, killed four people and wounded 22 in a shooting rampage ^[12].

The persistent scourge of Islamist violence is a clear signal that the global ‘war on terror’, launched after the 11 September, 2001, attacks in the US, has faltered. Even within Western countries, meaningful government action against Islamist extremism has often been stymied by concerns about discrimination. But, far from protecting Muslims, those crying ‘Islamophobia’ often are making Muslim communities less secure, by allowing extremism to grow unchecked.

The truth is that there is only one country in the world today that is truly cracking down ^[13] on Islam, rather than on radical Islamism: China. In the last few years, China has incarcerated more than a million Uyghurs and members of other Muslim minorities in its western region of Xinjiang. Under the pretence of fighting terrorism, authorities are carrying out a methodical, large-scale erasure of Islamic identities ^[13].

And yet the international community—including Muslim countries—have remained largely silent ^[13] about China’s actions. Last year, Malaysia’s then prime minister, Mahathir Mohamad, explained why ^[14]: ‘China is a very powerful nation’.

By contrast, after the Nice attack, Mahathir tweeted ^[15] that ‘Muslims have a right to be angry and kill millions of French people for the massacres of the past’. The incendiary tweet has since been removed for ‘glorifying violence’, though Mahathir’s account wasn’t suspended—a missed opportunity to push back against incitement.

Turkish President Recep Tayyip Erdogan, for his part, has called for a boycott ^[16] of French goods, because French President Emmanuel Macron ^[17] pledged after Paty’s murder to defend secularism against radical Islam. It is clearly far easier to attack a democracy than to stand up to a ruthless dictatorship.

But none of this will protect Muslim communities, let alone end Islamist terrorism. For that, governments must adopt a new approach, based on a better understanding of the enemy they are fighting.

Islamist extremism is not an organisation or an army; it is an ideological movement. As recent attacks show, the existence of a clear doctrine of violence obviates the need ^[18] to coordinate action. That is why eliminating high-level figures in IS or al-Qaeda does so little to stop the bloodshed, and why military action alone will always fall short.

Instead, counterterrorism efforts should target the font of jihadist terrorism: the militaristic Wahhabi theology, which justifies and commands the use of violence against ‘infidels’. This means, first and foremost, discrediting ^[19] that ‘evil ideology’, as former British prime minister Theresa May put it ^[20], by attacking its core tenets, starting with the claim (unsupported by the Quran) that 72 virgins await every martyr in heaven.

It also means taming the clerics and other preachers of violent jihad. As the late Singaporean leader Lee Kuan Yew explained, we must target the ‘queen bees’ (the preachers of violence) who inspire the ‘worker bees’ (suicide attackers), not the worker bees themselves. Otherwise, the war on terror will continue to rage, and violent Islamism will become more deeply entrenched in societies.